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Articles and Publication    Biology    Biotechnologies THE QUANTUM AND CLASSICAL BASIS THE STRUCTURE AND FUNCTIONING BIOLOGICAL MEMBRANES – MOLECULAR MECHANICS OF BIOMEMBRANES

THE QUANTUM AND CLASSICAL  BASIS THE STRUCTURE AND FUNCTIONING BIOLOGICAL MEMBRANES – MOLECULAR MECHANICS OF BIOMEMBRANES

 

 

© S.N. Semenov

Contact: ss.margys@gmail.com

In the beginning was the Word, and the Word was with God,

and the Word was God.

He was in the beginning with God.

All things came into being through Him, and apart from Him nothing

came into being that has come into being.

In Him was life… (John 1.1 – 1.4)

ABSTRACT.

The paper presented in popular form the basic concepts of classical and quantum mechanical foundations of the Molecular Mechanics of Biomembranes (MMB). Are explained key terms and definitions – the lateral surface pressure of biological membranes (ΔP), compressibility (elasticity) of the membranes and phonons – the sound quantum – quantum mechanical interactions, etc. – used by MMB. It shows what improvements and/or additions introduced by MMB in a classical mosaic structure of biomembranes. In particular, it failed to register the any hydrophobic interactions in biomembranes. But the presence of surface tension allows membrane proteins to take "hard" conformation, which in the solution is often simply in principle not been observed. The conditions for the applicability of the classical and quantum mechanics are considered to describe different properties of biomembranes. Presented in this article MMB allow us to consider biological membranes as a mechanical system obeying to the same time and in one the same place the laws of classical and quantum mechanics. The boundary between quantum and classical effects is the velocity occurring in living systems processes. (Bio) phonons that not only transfer energy from one to another protein but may be while information signals. It is proposed a mechanism activation and deactivation of various membrane molecular systems. Briefly describes some of the practical consequences predicted by MMB and partially confirmed by practice (an action of alcohol, local anesthetics, sound, etc.). As part of MMB may be explained, and many aspects of the functioning of the nervous system process, and phonon mechanism for transmission of nerve impulses becomes a simple, clear and consistent. This mechanism includes the appearance of the transmembrane action potential as one of the intermediate stages of the process. Shows the potential of MMB for the diagnosis of some cellular pathology and controlling it, in particular, to diagnose and to kill cancer cells.

______________________________________________________________________ 

Introduction

It's no secret that there is now a crisis in many areas of cell and molecular biology. It’s accumulated a variety of experimental data, but no, not just theories, but even hypotheses that allow combining them into a coherent whole. Without this difficulties arise to the further development of science, the development of new biologically active compounds, new methods of diagnosis, treatment, etc. All this is true for biological membranes. The biomembrane is a critical component of cells – the basis of all life. Life exists, when living cells exists, when retaining the integrity of its membrane, both functional and conventional mechanical. It is known that, despite the variety of cell membranes and their functions, they consist of two main components: proteins and lipids.

It should be emphasized that, the biomembrane is not only an interface between different media, as each monolayer is. Rather, a biomembrane is an interface separating alive and lifeless. Located one side of the biomembrane is an alive cell, the other side being lifeless nature. That is, the biomembrane is located somewhat in between alive and lifeless. This is a single, known to us, structure with such unique properties.

Despite the diversity of operations performed, the membranes are characterized by common structural and functional features. They represent a lipid bilayer matrix in which, on the surface and which are proteins and other molecules - a common, classical mosaic structure proposed in the 1935 scientists L. Danielli and G. Dawson, which predominated until Singer and Nicolson advanced the fluid mosaic model in 1972 [1 – 4]. The fluid mosaic model expanded on the Dawson–Danielli model by including transmembrane proteins, and eliminated the previously-proposed flanking protein layers that were not well-supported by experimental evidence.

Molecular Mechanics of Biomembranes

The main drawback of fluid mosaic model is that it may not predict new phenomena, not only quantitatively but even qualitatively. But its main advantage is that it allows its further development, modernization, which, however, not fundamentally alters the model itself. To overcome mentioned above disadvantages has been developed, "Molecular Mechanics of Biomembranes" (MMB). The main achievement of the proposed MMB is that it allows describing wide range of different phenomena.

Moreover, MMB possesses the predictive force. All this was possible to make without the attraction of any specific assumptions, but only within the framework modern classical molecular physics and quantum mechanics not only it is qualitative, but also it is quantitative.

Within the framework classical and quantum parts MMB naturally are described the influence of lipids on structure and functioning of the penetrating membrane proteins, the disturbance of structure and functioning of the biomembranes under the action of outside agents: antibiotics, venoms, alcohol, etc [6–9]. In particular, the necessity of “fluid elastic” lipid phase, the role of lipids in transmission of intermolecular and trans-membrane information and separation of the latter’s streams, the mechanism of automatic compensation of internal and external effects and disturbances become clear.

The aim of this work is the popular description of the proposed MMB. To do this requires a definition used in the MMB physical concepts, with their specificities and roles in membrane processes. The work is intended for those to whom it may help in practical work, especially for physicians, biologists, chemists, etc. This clarification is necessary because in this case, some aspects will have to go to the notorious simplification needed for a popular exposition of MMB.

Presently it is not yet possible to affirm that the MMB is completely finished and comprehensive and that it is applicable in all cases. It is natural that as new experimental facts are accumulated, the MMB is subject to amendments and clarifications. This especially relates to “non-classicalquantum phonon aspects of the MMB, In particular, issues related to the transfer of information, both in individual cells and between cells, it does not matter whether it concerns a system consisting of individual single-celled organisms, or within multicellular organisms, like our bodies.

Besides, establishment of applicability of the MMB for viruses containing lipid shells, and possibly to other lipid-containing viruses needs additional special research. These viruses comprise many of DNA-containing ones, e.g. pox (variola) and herpes viruses, as well as all large RNA-containing viruses, except reoviruses. However, the sufficiently high content of lipids, some 25% of the dry virus weight, which is comparable to lipid content in plasmatic cell membranes, allows hoping for successful solution of this issue.

This work is based on previously published articles devoted to one or other aspects of MMB [5 – 10] and in some ways is a continuation. In fact, here is a popular introduction to quantum phonon biology.

Surface pressure of biomembranes

It is known that lipids are the main component of biological membranes, forming a lipid bilayer, in which and on which there are other molecules. The lipids of different cells have different fatty acid composition and different polar heads. In the beginning restrict ourselves to the mane properties of the lipid bilayer.

Previously, I was shown [9] that the packing density of molecules in the membranes of different cells is different, which manifests itself in varying value of the lateral surface pressure of biological membranes (ΔÐ).

It follows from thermodynamics that spreading of any surface-active material at the air – water interface lowers its free energy – this is the definition of a surfactant. The value of surface pressure (ΔÐ) measured in the experiment constitutes the decrement of the free energy (ΔF) per unit area of the surface. For monolayers – two-dimensional systems – ΔÐ and ΔF are equivalent, so we can speak about the pressure ΔÐ is the pressure as the molecules to each other, similar to the gas pressure in the tank. Biomembranes can be viewed as a system consisting of 2 monolayers: internal and external. The presence of different membrane proteins in principle to the picture is not affected.

The surface pressure is applied to each lipid monolayer of biomembrane for all molecules in the membrane, as a force tending to compress and often compresses them. Moreover, such compression is anisotropic and it acts parallel to the surface of the biomembrane (Fig. 1).

 


Fig. 1. ΔÐ action on membrane proteins (è )

It is known that state of equilibrium nonclosed system at constant temperature and volume (area) corresponds to the minimum of free energy. The interface between biological membranes and washes its water solution is an example of such a system. Naturally, this applies to normal conditions, when the time of observation (measurement) ΔÐ is smaller than the characteristic time for the existence of cells in a separate phase of their lifecycle. (For example, it may not relate to the cell membranes in the cell division process. In mitosis ΔÐ have to be changed. Of course, first there was a 1 membrane, and then become 2 membranes. The process between the existence of a cell membrane and the appearance of the 2nd membrane, by definition, may not be stationary.) Biomembrane surface pressure ΔÐ is an integral, average parameter (when the observation time is longer than the time characteristic of the individual fluctuations in the membrane), which describes macroproperties the whole system. In such systems, a surfactant displaces (pushes) from the interface between the membrane-solution less surface-active surfactant. Schematically shown in Fig. 1, where the dotted red line denotes the surface activity of a membrane protein that is "Force" tending to remove part of the molecule from contact with water (polar phase) and convert it into a non-polar phase – in the region of hydrocarbon chains of lipid molecules. However, the presence of the surface pressure of the membrane (ΔÐ) hinders this process.

Within the framework of MMB it is shown by using the specially developed procedure [9] that the cytoplasmic membranes of different cells possess the different surface pressure (ΔP), i.e., with the different density of the packing of molecules in the lipid matrix of the biomembranes. Cells preserve value ΔP constant with a change in the ambient conditions, changing the phospholipids composition of its biomembranes. Values ΔP of a number of the biomembranes are given below:

  • The surface pressure of cellular membranes for Staphylococcus aureus and Sareina letea are 55,0 ± 5,0 dynes/cm;
  • The surface pressure of cellular membrane for Bac. subtilis is 20 – 25 dynes/cm;
  • The surface pressure of cellular membrane for E. coli is 20 dynes/cm;
  • The surface pressure of cellular membrane for Mycob. phlei. is 15 – 20 dynes/cm.
  • The surface pressure of membranes for Halobacterium halobium (Bacteriorodopsin’s plaques) is 34.5 ± 0.5 dynes/cm.
  • The method is suitable for not only prokaryote membranes, but also for eukaryotes. The value of lateral surface pressure for membranes of human erythrocytes is 34,5 ± 0,5 dynes/cm; for rat’s liver mitochondrial external membranes it is 21,0 ± 0,5 dynes/cm.

To determine ΔP it is possible to measure or to control various membrane (cell’s) processes: cell death, change of enzyme activity of membrane enzymes, ability to perceive the external stimulation of receptors, etc. The resulting values ​​of ΔP at the control of various membrane processes gave similar values ​​which lie within experimental error identical to the membranes of the same cells. This indicates that the parameters of the lipid bilayer of biological membranes in a similar way affect at different membrane proteins, i.e. these parameters are indeed characteristic of the biomembrane own defining its operation.

In such a way non evident link between the MMB and genetic engineering became visible. So, for example, membrane proteins of microorganisms Mycob. phlei. may not simply be integrated into the membranes of microorganisms Bac. subtilis, whereas the reverse situation membrane protein Bac. subtilis can exist in cytoplasmic membranes Mycob. phlei. Thus, not every cell is suitable as a recipient in genetic engineering. It is necessary to take into account the value of the surface pressure of the cytoplasmic membranes of cells, which are used in genetic engineering procedures. So, for example, acetylcholine receptors could not be located in the phospholipid monolayers, surface pressure which exceeds 28 dyne/cm at pH 7.0, and cholinesterase – in monolayers with ΔP > 24 dyne/cm [6. Part III, 1 “Quasistatics Approach”].

In addition, the data presented above make clear point occurred in hospitals, especially in surgery, "the problem of staphylococcal infection." Dense cytoplasmic membrane staphylococci, abnormally dense, so disinfectants do not act on it – disinfectants penetrate into the membrane can not.

A simple estimate, taking into account the experimental error in the measurement of the surface pressure membranes of microorganisms, shows that to achieve the same effect for the staphylococci aureus (cell death), demands, roughly, from 20 – 50 fold increase in the concentration of the acting agent, or respectively, the same increase in the duration time of the agent to a cell as compared to "normal" organisms, like E. coli. Often, it is simply not feasible conditions – concentrated hydrogen peroxide just very unstable at high concentrations, surface active compounds form micelles at high concentrations [11], i.e. when the CMC (critical micellization constant), which in principle can not achieve the necessary solution to the concentration (activity) of conventional disinfectants, etc.

The problem requires a radically new approach to their solution. Analysis of the results and conclusions regarding the stability of cell membranes and, consequently, the very life of cells derived from MMB, allowed to find a solution. It is used as a disinfectant XeF2, solid crystalline compound capable of at room temperature spontaneously arbitrarily sublimate, ie, changes in the gas phase. Molecules of this compound are stable in the solid and gas phases in the absence of water, the presence of which causes decomposition with formation of a very strong oxidizer F-. In the dry air and dry surfaces of equipment there is always water in the polar heads of lipid biomembranes. (Bacterial cells, as well as dust, are the centers of condensation of gaseous water – a vapor.) This is an area on the surface of microorganisms, and decomposition of xenon difluoride occurs, i.e. a local concentration of a strong oxidizer F- exactly where it's needed, wherever it is required to act by oxidizing components of biomembranes and causing cell death. Yet been found resistant organisms surviving after treatment XeF2 [12]. XeF2 may be very useful for situations, when the agent, which causes infection, is not known and/or there is no time for its determination. It is easy to sterilize (gas sterilization/disinfection) different volumes, surfaces and so on by solid xenon difluoride. This is one the most complicated practical consequence of MMB.

Surface pressure of the cytoplasmic membrane (ΔP), as previously shown, not due to the so-called hydrophobic interactions of lipid molecules between themselves or with other membrane molecules. Measurements have shown that if there is such interaction, it is not much, not more than kT – particles thermal motion energy in the system, where k – Boltzmann constant and T – absolute temperature. Simply, free energy (F), where hydrocarbon fatty acid residues of lipid molecules are in contact with water more than the free energy of the system, where these residues are not in contact with water. I.e. if you do not like something it does not mean that you should definitely love something concretes other. Rather, the situation is reminiscent of the crowd, especially in transport during rush hour: You would have been glad to take up more space, but others, you may not afford it, even if they and want to it – there is simply no space available, and necessary to go. Of course, this is not a scientific analogy, but it’s the simple and obvious.

It should be noted that the term "hydrophobic/hydrophilic" is meaningful only for sufficiently large systems, when it shall come into force on statistical regularities, and make no sense when considering the individual molecules. Correct, this entropy contribution to the free energy of the system, indicating the probability of the existence of a particular state in a huge system.

At present there is no way to say, equally or not ΔÐ on the inner and outer surfaces of biological membranes. It is likely that the values ​​of ΔÐ can be different on different sides of the biological membrane, the more that they can have a different lipid composition, as, for example, membranes of red blood cells. In addition, the ΔÐ and may vary depending on the distance from the surface of the membrane, and the curvature of the latter. The answer to this question requires further research. Although brief, this issue will be discussed below. (It should be noted that now may be measured ΔÐ only at the outer side of the biomembrane.)

Studies have shown that the forces causing change in aggregation and/or conformational parameters of membrane-active molecules at the interface between polar and nonpolar phases (media) are also not some hydrophobic interaction between them, but a simple mechanical compression of the molecules – that is, simple mechanical collisions of molecules with each other in such a system.

Even in densely packed monolayers formed of mellittin at the interface water-air (at the interface between polar and nonpolar phases), surface pressure which is comparable to the surface pressure of cell membranes, the behavior of the molecules obey the Van der Waals law for an ideal 2-dimensional gas [5, 6, Part 1.2]. Actually, it was, to some extent, a surprise for me. A dense monolayer, when the molecules are known to interact with each other, was the ideal two-dimensional gas. It's already happened as a consequence of that in the classical hart of MMB biomembranes easier to consider as a kind of two-dimensional gas, which lies on a 2-dimensional surface, i.e. surface, which itself is curved in 3-dimensional space, and thus may have a different curvature at its various sites. In this case, the change of curvature in the field of lipid bilayers will certainly change the packing density of lipid molecules, even more likely not the molecules themselves, but their individual parts. Obviously, with the convex side of the membrane will increase the area per one lipid molecule polar head and a concave – to decrease. This is natural, since hydrocarbon chains of phospholipids also occupy some of the internal volume of the membrane. It's just simple geometry, which I have tried to depict in Fig. 2.

Fig. 2. Schematic representation of changes in packing density of individual
moieties of lipid in the bilayer when the bilayer curvature
changes.
(The blue ovals show the area change of curvature of the bilayer.)

That would provide more afford it more clearly, you can simply place on the table dominoes (you may use cards) as a variable curvature line – for example, in the form of a wavy line. At the same chip (card) must necessarily relate to each other (Figure 2.1). Still, for clarity, one edge of the chips, you can mark – let it be polar heads of phospholipid molecules. With such a simulation of the curvature of the surface of the membrane is clearly seen that the change in curvature leads to the appearance in the membrane of the "free seats", i.e. areas where the local density changes. It should be noted that the change is not so much the packing density of molecules in the membrane, but in general, the packing density of lipid molecules, the individual parts, as in this case. Indirectly, this will affect the properties of membrane and other molecules. It seems that this is one of the unique properties of biological membranes.

Reducing the "density" of the polar heads of lipid molecules leads to a locally reduced in the area of the surface pressure of the membrane, i.e. by the appearance of a grad Ap. (Where there's nothing there and the pressure can not be. Nothing in either-something that does not exist, can not crush.) Therefore, in this area can be accumulated other, the lipid molecules that form a kind of "islands” (rafts) in lipid matrix of biomembranes. At the same time, these "islands" can accumulate molecules surface activity which may be lower than the average value of the surface-pressure ΔÐ of the biomembrane, i.e. show areas with specific properties.

Fig. 2.1. Simulated changes in surface curvature of the membrane by means of chips

(an explanation in a text).

Thus, begins to play the role of the spatial correspondence of different membrane molecules of avoiding the emergence of "voids" in the membrane, which apparently does not improve the barrier properties of the latter. The necessity for spatial (steric) compliance, the adjacent membrane molecules observed by other authors [13, 14].

 

Reducing the "density" of the polar heads of lipid molecules leads to a local decrease in this area of the surface pressure of the membrane, i.e. rise to grad ΔÐ. (Where there's nothing there and the pressure can not be. Nothing on anything that does not exist can not press.) Therefore, in this area may accumulate others, not lipid molecules that form a kind of “rafts” (islands) in the lipid matrix of biomembranes. At the same time, these "islands" may accumulate molecules which ΔÐ may be below the average surface pressure (ΔÐ) of the biomembrane, i.e. to make areas with specific properties.

The above-described a possible mechanism for the formation nonlipid “rafts” in biological membranes makes it easy to identify a number of structural features of molecules that will promote their "self-organization" in such nonlipid structures at the surface of various membranes [15 – 19]. A more detailed examination of this issue may give a simple mechanical explanation of the possible processes change the shape of cells, possible mechanism of their movement. The last issues are especially characteristic of microorganisms and protozoa. For example, to describe the movement of cells in the direction of grad nutrients. In other words, may not be nor any specific interactions between molecules in these rafts – there simply is "free" place for these molecules. Here they are, and it filled. But in present paper I will no longer dwell on them, and some other particular cases MMB.

 

It have been already noted that even densely packed monolayers of membrane-active compounds, in particular, mellittin at the interface between polar and nonpolar phases are described by Van der Waals law for two-dimensional ideal gas, which has an area occupied by a molecule on the surface. A characteristic feature is their compressibility of gases. By definition, Compressibility (bulk modulus) of a substance reversibly changes its volume under uniform outer pressure. Characterized by the compressibility β, defined as the relative change in volume V (or density ρ) of substance with a change in pressure P:

Compressibility of gases, being very large at pressures up to 1 kbar, as they approach the density to the density of liquids is close to the compressibility of liquids. The latter, with increasing P decreases sharply at first, and then changed very little. The linear compressibility of anisotropic materials depends on the crystallo-graphic directions (at least up to pressures of tens of kbar), and the directions of weak interatomic interaction, it can be 8 – 10 times greater than the compressibility in the directions along which the crystal lattice has a stronger relationship. Compressibility – the most important characteristic of a substance that gives an indication of the dependence of physical properties of the interatomic (intermolecular) distance. The compressibility is closely related to elastic (elasticity) – a property substance to have the mechanical resistance to external force and take after it fall the original form; that is especially true for gas. The opposition to elasticity is called plasticity [20].

The above definition of the compressibility for three-dimensional structures easily transforms and for two-dimensional systems witch are the biological membranes. Sufficient to replace V – volume by the S – surface area of the membrane, and, for simplicity, that would not change the current in monolayer measurements, notations remain for the surface pressure ΔÐ its designation, the magnitude of the changes of the surface pressure is denoted as ∂Ð , we get:

We need only this type of formula to describe the compressibility. In addition, for the lipid may it be used in the formula, instead of S – the area of the membrane surface of the value of S' – the area per one molecule on the surface. Than, membrane area S = nS', where n – number of lipid molecules on the surface, respectively ΔS = nΔS'. After making these substitutions, we obtain the same formula, but at the molecular level. In the future we will use the formula for the compressibility, but not longer considering the entire area of the biomembrane, and the only one molecule area in the membrane. Neither base definitions, nor the numerical values not change, but it is more in line with those phenomena that we consider in the membrane, because we consider them at the molecular level.

Need always remember that the biomembrane is anisotropic system and its compressibility depends from the directions. Lateral compressibility is very different from the "vertical compressibility", i.e., the compressibility, the pressure (usually hydrostatic) acts perpendicular to the surface of each of the two monolayers that form the membrane. In this case the hydrostatic pressure is much less effect on its properties of biomembranes [6. “Quasistatics Approach”; 21 – 23]. These biomembranes are somewhat similar to solid crystalline body, which, as noted above, the compressibility depends on the direction. Bilayers, though very thin, but 40 – 60 Ǻ possess. Now this is only an analogy, not playing a significant role in the considering molecular and mechanical properties of biological membranes in terms of classical physics. Membranes contain different lipids. It was found that under normal conditions, the majority of membrane lipids in liquid-crystalline state. (Here I use the currently accepted terminology.) For example, under normal conditions, the growth of microorganism’s membrane Micoplasma laidlawii, Micrococcus lysodeikticus and Escherichia coli form a "liquid phase", characterized by high mobility of the hydrocarbon chains of lipid molecules. In this case there is strangeness: temperature decrease of the medium leads the appearance the crystalline properties lipids, but the same properties occur for the lipid molecules in the monolayers during compression at the air\water interface, i.e. when its temperature increase – a paradox. To solve this problem back to the situation discussed above.

The above data were given to the values ​​of ΔÐ for different cells. For most cells, these values ​​are characteristic for lipids or lipid mixtures, when they have a high compressibility. To do this lipids are needed, containing hydrocarbon chains of at least one C = C bond. In addition, the compressibility of the membranes is necessary to ensure the ability to change their curvature (see fig. 2 and 2.1). But the high compressibility this is the gas property, not fluid. In this case, the above mentioned paradox disappears. Increasing external pressure, temperature reduction are processes long used in the liquefaction of gases. Therefore, we need to say that biological membranes contain the gas and condensed lipid phases, which corresponds to the experimental results obtained previously [5, 6, 9].

Temperature change alters the fatty acid composition of phospholipid molecules that make up cell membranes. An increase in temperature leads to a decrease in the proportion of unsaturated fatty acids and decrease – to increase their share. Similar changes in the phospholipid composition of biological membranes, except for temperature, and can cause introduction of the hydrophobic region of molecules, breaking microviscosity biomembranes [24 - 26]. This is an indication that the living cells tries to maintain a constant surface pressure of its membrane as conditions change. Increase in the proportion of unsaturated fatty acids decreases membrane microviscosity [27], i.e. keeps the membrane lipids in the "liquid phase – traditional terminology or gas phase – my interpretation”. In this case, the maximum effect is achieved by replacing saturated fatty acids on the fatty acid with one double bond. A further increase in the number of double bonds leads to a slight increase in membrane fluidity [22].

A note associated with the definition of various parameters: the viscosity (as well as microviscosity) is introduced to describe the motion of the body (like microbodies) in the liquid isotropic physical environment, which is not a membrane. It has been noted above. Biomembranes – singular, anisotropic system in which at a distance, or even less, one of its molecules, possible to see properties of various physical systems. These different physical systems may be more in several states of aggregation. This will be discussed below, when considering the quantum phonon aspects of the membranes.

The lateral surface pressure reflects the packing density of molecules in the membrane. The lower lateral surface pressure, ie the lower the packing density of molecules, so, naturally, lower microviscosity of the medium. Because of a decrease in the packing density of molecules in the system, we are approaching the void, and emptiness is nothing to resist the movement of molecules, probes, which are used to measure the viscosity of various membranes. With this in mind and we may say that the surface pressure and the "microviscosity" of the membrane close to each other. This closeness is correlation between them – the parameters are changed similarly.

Summing up we get the view expressed that the presence of surface tension allows membrane proteins to take "hard" conformation, which in the solution is often simply in principle not been observed.

In addition, roughly one may say that, since the pressure force acts on any particle in the membrane in a direction perpendicular to the surface of the membrane molecules, then for all the protein molecules to form a hydrophobic region, which is embedded in the membrane differs from that of a constant area "lateral cross-section "(Fig. 3), appear buoyant force (Fc). This force tends to remove particles (molecules) from the interface mebrane – in a water environment. And the force of ejection may be directed to the center of the membrane (not shown). It is this process and counteracts the surface activity of the membrane protein. In addition, unstable molecules with an area of "lateral section" will disrupt the structure of lipids, but around him. This is amply illustrated in Fig. 4, shown on the website of the Institute of Mathematical Problems of Biology [27].

 

Fig. 3. The action of the lateral surface pressure of the membrane (ΔÐ) on membrane proteins. (Explanation in a text).

In other words, for the lipid will arise a situation similar to that discussed in Figures 2 and 1.1, which may lead to a local change in curvature of the membrane and/or the formation of "islands", etc.

As already noted, the presence of the lateral surface pressure acting on the protein molecule in the membrane, as well as any other molecule that leads to the appearance of the last new "hard" conformation, which is characterized by the additional the surface conformational energy. Additional energy is equal to the work on the compression of the membrane component of the zero surface pressure to a pressure equal to the pressure of the surface of the membrane. We consider a situation that is already discussed in connection with the phases of the cell ΔÐ life cycle. In these circumstances, we may consider a system at equilibrium and stationary. Then the additional energy derived molecule in the membrane due to its compression from the environment (El) is:

Fig. 4. The influence of proteins on the structure of the surrounding lipid bilayer.

The limits of integration from 0 to Pm,

Where: P (S) – a function of surface pressure of monolayer area S per single molecule in a monolayer;

Pm – the equilibrium surface pressure of the concrete biomembrane;

θ – coefficient taking into account the geometry of the molecule (roughly – its perimeter and/or contact area of the molecule with its surroundings inside the membrane) and used the physical system of units.

In practice, to assess the additional conformational energy can be used so that it equals the area of ​​the figure bounded by the compression isotherm of a monolayer of fully extended state to a surface pressure equal to the surface pressure of the biological membrane (Ðì), line P = Ðì and the y-axis (Fig. 5). That is, additional energy is equal to the work that must be expended, that would compress the monolayer of a rarefied state where almost ΔÐ practically = 0, to a pressure corresponding to the surface pressure of the biomembrane. It is obvious that in the stationary case, we are considering the pressure, which the membrane presses on its molecule, identical pressure, which pushes the molecule to its surroundings. Further, it is easy to show that you may use to assess the compression isotherms of lipid monolayers, which is technically much easier to do than to receive and compress the monolayers of other membrane molecules. In addition, for nonlipid membrane molecules (proteins, mostly) of their additional energy (Ånl)* will be equal to the experimentally obtained additional energy one lipid molecule (Ål) multiplied by the ratio of areas of the surface membrane in its natural, natural ΔÐ nonlipid molecule (protein), (Snl) and average area occupied by phospholipid molecules (Sl) at ΔÐ, equal to the normal, natural pressure of the biomembrane ΔÐì, line Ð = Ðì and the y-axis (Fig. 5).

(* Ånl = Åë Snl/ Sl)

Fig. 5. For explanation, refer to the text

This figure 5 was probably even more physical meaning than it might seem at first sight. Really it depicts gas, rather condensed, but the gas. This is gas, as in monolayers of mellittin. For them, it was showed, even when ΔÐ equal to or more surface pressures of cytoplasmic membranes of living cells the mellittin behavior is described by valid for ideal gases.

Moreover, from the monolayer experiments, we have that the increase in the degree of unsaturation fatty acid chains of molecules of phospholipids, other conditions being equal, leads to an increase in additional energy compression for particles in biological membranes containing these lipids (increases area of ​​the shaded figure in Fig. 5). Consequently, the increase in the proportion of unsaturation of the hydrocarbon chains of lipid molecules leads to an increase in additional conformational energy of membrane protein for a given surface pressure of the biomembrane. That is, possible increase the energy of compression of the membrane, with whom it acts at the penetrating membrane proteins, without increasing the lateral surface pressure of the membrane itself.

In other words, the presence of polyunsaturated fatty acids in biomembranes produces gains in the value added to the conformational energy without increasing the surface tension of the membrane. Thus, a compromise may be reached between the relatively low surface pressure, membrane proteins, allowing the latter to penetrate, embedded in the membrane at the interface and be there for a long time needed for cell activity, and an additional value of the conformational energy of the protein molecule, providing it’s optimal structure.

Different experimental data confirm this conclusion (see comments above about the correlation between microviscosity and surface pressure of biological membranes), membranes of cells are characterized not only certain surface pressure, and varying compressibility, i.e. dependence of various changes in membrane surface pressure as a function of the packing density of molecules in it.

By the way, this implies that the lipid matrix of well-functioning of biological membranes may not be "crystal". Because of under the "crystallization" membrane lipids decrease sharply the value of additional compression energy obtained by penetrating membrane proteins. In this case the additional energy is several kT per molecule in the membrane and is comparable with the energy of thermal motion (k – Boltzmann constant, T – absolute temperature in degrees Kelvin). Therefore, if the membrane under normal conditions will contain lipids in the "crystalline" state, the temperature fluctuations (in other words - the thermal noise) will cause fluctuations in the structure of membrane proteins – their dramatic change in the state – and therefore, abrupt random changes in their activity. These random changes in the activity of membrane systems, of course, the phenomenon is incompatible with the very existence of life. You can say simply, in the normal membrane lipid phase transition in the "crystalline" state leads to a membrane protein penetrating the possibility of "ravel out or to get an inactive state", i.e. change their structural state and inactivated.

It is just to remind once again that the presence of double bonds in the hydrocarbon chains of lipid molecules leads to an increase in the lateral compressibility of the biomembrane. More precisely, it is true for the one half of the membrane, where these relationships are present. Under this model, as will be clear later, this statement is correct, ie membrane may be considered as a system consisting of lipid matrix and are in it of membrane proteins. In turn, the lipid matrix itself is also a complex system consisting of two subsystems – the lipid monolayers.

Therefore, the answer to Prof. D. Chapman, FRS question: “What are the double bonds required for?” should sound somewhat like this: “They provide for existence and support of lateral compressibility (elasticity) of biological membrane, which is responsible for surplus lateral compression energy received by penetrating membrane proteins from the biological membrane lipid matrix surrounding them, and damp the random variation of the lipid molecules density in biomembranes”.

From summarized in this paper, based on classical physics, part of the MMB implies that the incorporation of foreign molecules (structural defects) should lead to a change in packing density of molecules in the membrane, i.e. to a change in its surface pressure and (lateral) compressibility. Therefore, in the early stages, when there is no lysis of cells must vary activity of membrane proteins, as evidenced by both their own experimental results and literature data. More details are described earlier [5. “Êâàçèñòàòèêà”; 6. “Quasistatics Approach”; 29 – 33].

In these papers presents data on the effect of changing the structure of the lipid in the photochemical cycle of bacteriorhodopsin in the fragments of photosynthetic membranes of halophilic microorganisms Halobacterium halobium, gas, sound, alcohol, local anesthetics and other organic solvents, at the cell membranes [29 – 33]. After the publication this article with the consideration an alternative mechanism of action of alcohol on cellular membranes published an experimental date supporting [34] my conclusion that the abrupt discontinuation of alcohol may be dangerous to health.

Also, do not want to be right with the prediction obtained as a result of consideration of sound action on living organisms. It was found that the observed number of road accidents, with no apparent reason, may be associated with a specific narcotic effect of loud music, loud drums containing sounds [33]. However, this phenomenon has not been studied specifically.

It should be noted the potential danger of fetal ultrasound investigations of pregnant women. Fetus is booming, and the ultrasound frequency range, used for research, not specifically controlled. (This will be discussed below.) Therefore, in principle, it may effect on cellular processes of the fetus. However, this requires special studies.

Based on the results within the framework of MMB possible make some practical recommendations in addition to those already described in this paper. For example, in order to reduce the possibility that the "dissolution" of gases in the cell membranes during underwater work or sport may be recommended diet high in vegetable oils, etc.

It should be noted that even under this approach is understandable, another biological role of polyunsaturated fatty acid residual in phospholipid molecules in biological membranes. They are due to the weak dependence of the surface pressure from the area per 1 molecule, i.e. high compressibility may smooth out fluctuations, changes in surface pressure fluctuations in biological membranes, i.e. enhance the stability of various.

Thus, the high compressibility dampening of the membrane surface pressure pulsation and thus increases the stability of conditions in which the functioning of various membrane living systems – membrane molecular systems. By the way, at a constant temperature of a living system to do it easier. And it is not so important that a high or low temperature – most importantly, what would it be stable. And it is not so important that a high or low temperature – most importantly, what would it be stable. This could be achieved, or maintaining a constant temperature of his body, becoming a warm-blooded that is inaccessible the simplest, or living with a constant ambient temperature. By the way, the rapid development of plankton observed in the polar regions of the ocean, where there is constant water temperature ~ 4° C.

Summarize all the above, we have that biomembranes are highly dynamic structures, because their constituent molecules are in constant motion. However, despite this flexibility, the lipid portion of the membrane itself is an excellent insulator, and just a great barrier to free penetration through it for various molecules. Moreover, such a delicate and dynamic barrier, visible only through an electron microscope, has a very complex internal structure, largely obeying a simple law of thermodynamics and classical mechanics, describing the behavior of large multicomponent system. Of course, we must understand that this is said with some degree of simplification, made ​​to facilitate understanding of the material.

To describe the properties of biomembranes as systems that contain a huge number of different molecules in the framework of classical MMB, be aware that they have their own value of the surface pressure ΔÐ. This value is different for different cell membranes and for membranes of cellular organelles.

Biomembrane surface pressure allows be in it only to the membrane molecules (proteins, etc.), surface activity (more precisely, the maximum surface pressure) is not lower than the surface pressure of the biological membrane. This applies to the proper membrane components, as well as to outside molecules.

On each molecule within the membrane of the lateral compression of the acts a force from its environment tends to compress and compressed the molecule. This force is similar to that which occurs during the mechanical collision of molecules at the interface between polar and nonpolar phases – in a "two-dimensional gas". As a result, the molecule is having some intramolecular "stress" and/or restrictions, which are absent in a homogeneous environment – i.e. in the solution.

Such an analysis is possible when we look at the big multi-component system without taking into account local fluctuations and/or changes in the membrane related to the operation of its individual molecular systems. I.e. when we consider the biological membranes as a stationary system, and therefore was previously introduced the term "Quasistatics" to emphasize that we nevertheless consider the dynamic structure seems to be static and equilibrium. Usually it is the processes occurring in a relatively long period of time > > 10-4 – 10-3 sec.

Quantum-phonon approximation

Let us examine now a different situation when we study the behavior of individual molecules and may no longer neglect occurring therein changes. But at the same time, we may ignore similar changes in the surrounding molecules. I.e., we consider the local changes already in the membrane, changes in a single molecule or molecular ensemble in the operating process. Such a division is artificial, since all processes in the membranes occur simultaneously, and, of course, has its limits of application.

The need to consider processes occurring at the level of individual molecules is obvious. And the need to consider processes on the mechanical level, due to the fact that an increasing number of detected mechanodependent processes in biological membranes, including ion channels and operation of excitable nerve cells [35 - 41]. It is not necessary to explain the importance of understanding the processes of information transmission and it processing for understanding the basics of life of any organism.

These issues are considered in non-classical, quantum-mechanical part of the MMB. Indeed, many effects around us look like classical because classical physical laws are actually based on quantum mechanics [42]. The need to consider quantum effects arise in recent years in addressing various aspects of molecular biology, the genome [43], brain and other events listed, such as “Wikipedia” [44]. Quantum phenomena let be quantum phenomena, but I’ll use here classical mechanics, without it does not work. Schrodinger equations are omitted, but since there is such terminology, we shall, so far, to use it. Moreover, calling something by quantum mechanics (that we do not understand, can not imagine, call magic, or as here, the quantum mechanics), we find that the MMB, predicts that the intermolecular interactions in the membrane must be accompanied by the emission or absorption quantum “mechanical interaction” – phonons – quantum quasiparticles.

First need to understand what is a phonon. This term originated in solid state physics. Very good, but not quite clearly its definition is given in Wikipedia, and the in other works related to solid-state physics [45 – 47]. At first glance it might seem that the solid crystal has no relation to biological membranes. But again I must reiterate that biomembranes – a unique system – separating the living from the nonliving, other systems with similar properties are not known.

Summing up the various definitions, anybody can write a phonon – a quasi-particle, representing the quantum of the elastic fluctuations (vibrations) of a medium. The concept of phonon plays an important role in describing the properties of solids: crystals lattice the thermal properties are similar to the gas of phonons [Great Russian Encyclopedic Dictionary]. Vibrations of atoms in the crystal are replaced by the spread in the medium of sound waves and quantum which are the phonons, but this is true for relatively high-intensity sound. And what kind of wave may say, if it may not be, but there was just variations of one or only a few atoms. Fluctuations of a single atom in the crystal lattice necessary to some extent, affected at the neighboring atoms. Phonon has an energy and a mechanical impulse. The propagation velocity of phonons in the system is equal to the speed of sound in it. Phonon spin is zero. Phonon belongs to the bosons, and is described by Bose-Einstein statistics. Unlike ordinary particles, which exist on their own, including the empty space, quasiparticles can not exist outside of the medium fluctuations that (or just parts of which) they are. Thus, the phonons are always elements of the system, no biomembranes – no phonons.

As well as ordinary particles, quasiparticles may be more or less localized in space and maintain this localization in the motion, i.e. have a quasiform, but possible call it a quasisize or quasivolume. It is really important problem, but in this work it just indicated. But, more importantly, that the phonon, whatever it may be, has the energy and mechanical impulse – simply put, it may hit a hurdle and give him its energy and its mechanical impulse. Let me explain it in simple examples. Again turn to the dominoes that are set on their narrow ends well (mentally or actually), as is done during the competitions, where there is a problem to install as many pieces of dominoes, and then, pushing one, to get as more interesting drop all the rest.

Fig. 6 shows just such a situation, however, a much smaller scale.

Fig. 6. Falling pieces of dominoes.

Somewhere in the turquoise-blue circle is a phonon itself.

The arrow shows the direction of the phonon motion –
transfer
energy and its mechanical impulse.

Dominoes, falling, are becoming mechanical impulse, which then, in a collision, pass the chips worth, and they, in turn, falling, pass it on. So the momentum (mechanical impulse) is moved along the system, passing the initial push, kick, along the whole line from one end to another. Incidentally, in this system, the transfer of momentum is practically without losses (if you put all your chips neatly enough), because each chip has its standing potential energy, because we do it well placed. In the fall of the potential energy turns into kinetic energy of falling chip. This process is repeated until as long as there are chips. But it should be noted that this is a one-time system. All the chips will fall, and the more the system will not work.

Not difficult to make a system suitable for multiple operations. Enough to attach to the floor (bottom) chip on a spring or other elastic fastening. Then the chip after a fairly strong shock will push the next and back to its original position, and the next push and return the following to its original position, and that the following .... This is an ideal situation, but we live in the real world, so the part of the energy transferred from the chip to chip, with the impact goes into heating the springs and so go into heat and lost. The energy will be lost and the impact force transmitted to each other chips to be smaller. A little earlier or later, the momentum transfer process will fail. What would be the signal transmitted, the system must have amplifiers along the line of chips. These amplifiers, having a weak push from one chip should give a strong signal (push kick) to the next. Naturally, this process will require the expenditure of energy to amplifier. Understanding these simple processes we shall need later on, during the transition from Domino to the atoms of membrane molecules in the transition from classical mechanics to quantum mechanics of phonons. But there is nothing complicated in this case will simply replace the dominoes on the balls of atoms, interconnected by elastic springs, as shown in Fig. 7.

Fig. 7 Schematic phonon motion in the crystal structure

balls connected by dark blue and gray lines, and in lipid

balls (CH2 group), combined with dark blue lines (gray lines are ignored.)

The red arrow () – the direction of energy transfer and phonon momentum –

motion of a phonon. Red oval phonon localization in the membrane (the crystal).

In this figure (Fig. 7) attempted to portray the spread of the phonons in the regular structures. Schematically considered the crystal structure, where atoms are depicted as circles, connected by links, represented by dark blue and gray lines, so that the cells form a (two dimensional) crystal lattice. In a normal crystal lattice, the atoms in the lattice nodes strongly associated with their neighbors. At the same time as, in biological membranes, from the viewpoint of thermodynamics and molecular physics, we can find areas with a "crystalline" structure, located by the polar heads of phospholipids, and spectacular 7 - 9 C-atoms of the hydrocarbon chains [5, 6, 48], characteristic of solid crystalline materials at the same time, the central part of the membrane, as the authors note, has a "disordered" state, close on the properties of fluids, or maybe even gases. Of course, should be understood that this is said with some degree of simplification, made ​​to facilitate understanding of the material. In this paper, I will not focus on the structural and phase characteristics of individual sites, regions of biomembranes. Of course, here will use normal physical terms with the prefix "quasi" or otherwise "explaining" terms. Something likes this – a two-dimensional quasigas on three dimensional surfaces with variable curvature. In this quasigas may only consist of real particles – molecules, quasiparticles – phonons and possibly from their mixture. However, consider these questions – the task of subsequent studies, developing and clarifying the MMB. And now it’s fundamentally not affecting the essence of the material presented, nor for deriving conclusions from it.

Vibrations of individual atoms in a regular structure, such as a normal 3-dimensional crystal, or in the membrane quasicrystal necessarily capture their neighboring atoms, i.e. process is the dissipation of energy that goes into the usual thermal energy, i.e. is precisely to fluctuations neighbors. Thus, in his moving biofonon in biomembranes has been losing some of its energy, which means that the wavelength of the quasi particles increases as in quantum mechanics:

Ef = ħω

Where – Ef – phonon energy;

ω – own quantum phonon frequency is inversely proportional to its "wave length";

ħ – Planck’s constant.

Therefore, if somewhere in an organism it is necessary to transmit the information signal in the form of a phonon, it will have to periodically increase and correct, otherwise it is a final point, if it can reach it, – where the recipient is to be very different from signal, which is sent by the sender. This is one of the foundations of the theory of information transfer. This conclusion is we need in the future when considering the mechanism of information transfer in living systems.

At this moment, it is popularly presented all the necessary information on the quantum mechanics of phonons, which is needed in the future.

MMB – phonons

It was mentioned above that reveals more and more mechanodependent phenomena in biological membranes. Under described MMB is a natural phenomenon. It has already been shown that the biological membrane is subject to certain laws of classical mechanics and thermodynamics, which, in turn, are based on the same laws of classical mechanics adapted to systems containing a huge number of particles.

Based on the above stated it is clear that incorporation of foreign particles in biological membranes should lead to their "breaking up" due to the formation of structural defects of lipid bilayers. At the same time defects are changing its lateral pressure and compressibility. Therefore, in the early stages, when there is no lysis of cells must vary activity of membrane proteins, which is confirmed by published data obtained for gramicidin S and its analogs are used to determine the surface pressure ΔÐ various biological membranes [5, 6]. In this case, the most complete effect of the change ΔÐ was obtained for Bacteriorhodopsin, which shows that the ability of the protein returns to its initial state after it is activated by light, decreased with the appearance of structural defects in lipid plaque. Consequently, the driving force behind the relaxation of the protein opsin (the main protein Bacteriorhodopsin) in the initial state has been pressure on it by its membrane environment. In other words, the excitation of the membrane molecules leads to the increasing its area in the membrane. Below, this process will be discussed in more detail as an example.

Further, it has been confirmed in other objects belonging to different biological membranes. As an example, we note that the molecule of the Ca-ATPase sarcoplasmic reticulum may be in the 2 conformational states [49]. In the process of protein when it is activated protein distances within the active site increased 10 – 20 Ǻ. And then, when you return to the original state of the protein, the active center decreases again [50 – 53]. This indicates that the proposed molecular mechanism of mechanical activation and inactivation of membrane proteins is universal.

It should be noted that the conformational transformations in the molecules, especially those associated with vibrational excitation, occur very quickly. The time required for this is the order of 10-8 – 10-12 sec [53 – 55].

These facts suggest that the process of functioning of the protein in living systems is accompanied by absorption or emission of quanta of mechanical interaction – phonons. I.e. during the activation of membrane proteins under external influences such as the binding of the membrane enzyme with a substrate from the surrounding solution, and the formation of substrate-enzyme complex energy is released. Which then, upon return of the protein molecule and the initial (unexcited) state can be emitted in the form of membrane-phonon or otherwise, for example, in the form of a photon – bio/chemluminescence. Liberated phonon may then activate another protein in the membrane system, being absorbed by it, which, then, having finished their molecular cycle, may also provide a phonon, etc. I.e. it is a process transmission of information along the membrane and coordination among the various membrane protein systems. And it is not necessary that these membrane systems have been spatially close to each other or had any other "visible" link. May not be apparent coupling of different membrane protein systems among themselves. We'll just watch an event, usually caused by some effect (or effects), including a different nature, in a remote section of the biomembrane. The main thing that existed in the membrane an ordered structure, similar to the crystal structure, providing conditions for the transfer of phonon information, such structures, as noted above, exist in biological membranes. In some ways it may resemble a Christmas tree garland, when it consistently (or alternately, that does not matter) various light bulbs are lit.

Naturally, the reverse process is possible: the membrane molecule (in the formula designated "receptor"), absorbing a phonon, passes into activated state, and then, under the influence of lateral pressure of the biomembrane is returned to its original, inactive state (or conformation). These processes may be schematically represented by the following schema, which describes the reactions that go with the absorption or emission of energy:

Direct reaction is

(external chemical signal) + (membrane receptor)è

(a complex molecule with a receptor signal) + (membrane phonon = ħω);

The reverse reaction:

(a complex molecule with a receptor signal) + (membrane phonon = ħω) è

(membrane receptor) + (a chemical signal, extracted from the membrane).

And outside, as well as an internal signal may not necessarily be the chemical signal. This may be a quantum (s) familiar to us light, and another phonon (s), temperature, mechanical impact, which is true at the level of the membrane will not differ from the temperature and electromagnetic field, etc. (various, including other outsiders, impact, marked "?", but which may not be). It is more correct to write the above equations are summarized as follows:

(external signal) + (membrane receptor) +?

(a complex receptor with a signal) + Σ ħωi + Σ hνj + ?

Where ħωi – phonons; i = 0, 1, 2 ...
        j – photons; j = 0, 1, 2 ...
        ħ (h) – Planck's constant (different types of notation)
         Σ – a mathematical summation sign.

However, for this popular exposition of the differences between the given formulas, and formulas themselves are not important. Simply, they will encounter in other studies, including those of MMB, is therefore appropriate to explain their meaning here. In the second equation should be emphasized that there may not necessarily released phonons, but the light photons, just the energy for heating the body, certain chemical reactions take place, all together, and certain combinations. In other words, perhaps the mutual transformation of different signals to each other: the chemical reaction may cause the phonons and/or photons, and vice versa. I.e., as in solids, in biological membranes may interconversion of "light" in "sound" – the effect of sound luminescence.

At chemical reactions do not stop, about them and so much has been written.

Photons: there is no reason to prohibit the excess (or specific) energy in the some membrane process of in the form of light – or rather in the form of photons. Bioluminescence, which was opened in the first third of the twentieth century. [56, 57], already is a known and studied phenomenon. This effect was observed for cells of different nature, as for the cells of prokaryotes and eukaryotes, animal and plant cells [58 – 63].

Put forward various hypotheses about the role of biophotons into cellular activity. According to one hypothesis biophotons remove excess energy that arises in the process of cell activity. According to other hypotheses biophotons participate in intercellular exchange of information. Both hypotheses do not contradict the proposed here MMB. But now I will not stop there. It's just another little explanation showing MMB relationship with other areas of cell biology, biochemistry, and different sections of physics, including biophysics, etc.

Conclusions about the role of phonons in membrane processes have been confirmed experimentally. For this purpose, special phonon spectrometer designed to obtain the phonon spectra for a number of cells, which are given in previously published papers [7 – 8]. Fig. 8.

Fig. 8. Part of the ultrasonic spectrum cells Bac. subtilis in aqueous suspension

(physiological solution)

Along the axis A of the spectrum is given in relative units cu
Ff – natural frequency of the phonon absorption.

Let us consider in more detail the formation of phonons in biological membranes with the structural changes in penetrating the membrane proteins. It is easy to show based on the geometric parameters of protein molecules, that even "minor" structural changes in them may affect on the border of the protein-lipid hydrocarbon chains of membrane area at the border with more than one CH2-group of the lipid. This is easily done, for example, action with the use of spatial models of atoms. Already noted above that for the Ca-ATPase molecules in the linear dimensions of the process of activation – deactivation alter at 10-20 Ǻ [49 – 52]. Therefore, the protein molecule in the process of its operation could "push" just a few of the CH2 groups in the hydrocarbon chain as a single lipid molecule or several at once. I.e. will be formed, as predicted earlier this Kosarev A.V. with colleagues phonon flux responsible for the transfer of energy (including the nerve impulse) in biomembranes [64 – 65]. In these works adequately substantiated advantage of the phonon mechanism of transmission of nerve impulses, compared with traditional ideas.

In my opinion, is more correct to use terms such as "phonon package" or "phonon word". The main thing is the transmission of nerve impulses – not just the energy transfer as such but information. Naturally, that information should be some way to code, that being "recognized", adopted by the receiver, causing it to one or another answer. That's why we put those terms to reflect the essence of the signal – information. I.e. information signal – it's not just energy transfer, but transfer the encoded and may say otherwise, that is the transfer of the quantized energy.

Schematically, I tried to depict this process in Fig. 9. It should be noted that I was trying to portray a quasiparticle, or rather their totality, realizing the hopelessness of the process. It should be noted that the process of the terminology necessary for describing the MMB has just begun, as the study began and the phonon nature of nerve impulses, it is possible in the future will be proposed and justified for other terms, but for now enjoy these.

 

                                                                                       Inactive protein                       Protein complex                 "Phonon package"

                                                                                                                                          with an external signal                "Phonon word"

Fig. 9. An attempt to schematically show the formation of
"Phonon-pack" or "phonon-word". (Explanations are given in the text below)

Under the influence of an external signal membrane protein carries out some process, such as transmembrane ion channel opens, changing thus the conformation (structure). Such sharp changes in the protein structure causing a disturbance in the surrounding areas near the protein in the hydrocarbon chains of lipid molecules. They get a "hit" that leads to biophonon. For simplicity, and "clarity" deliberately omitted other possible processes that have been described in the above equations and discussed in previously published articles.

In such a system usually has to occur an information signal, possibly consisting of more than one phonon, and possibly having a 3-dimensional structure. This follows from purely steric (spatial) parameters of membrane molecules. It is obvious that such a complex phonon signal carries much more information than that used in conventional electronic computers, one-bit signal. That is why the terms were introduced "phonon package" or "phonon word". The signal can be received by the addressee, in whole or in part. Also, the sender can send multiple identical or different signals to different destinations. Then, the sender under the influence of surface tension of the biomembrane ΔÐ returns to its original state. Membrane protein system is again ready for use. Schematically, this process is shown in Fig. 10.

The most trivial variant of the process described is shown in Fig. 10. In response to an external signal, structural rearrangement occurs in the molecule, which increases the molecule diameter; that is, the molecule passes into the excited state (Fig. 10 A). Increasing of the molecule diameter is accompanied with the work against the membrane lateral compression forces. So, the protein activation energy transition into the energy of surrounding membrane lateral compression occurs. Such energy dissipation brings about heating of the membrane (in the classical approximation this process is described by the equation PV = RT), hence, of the cell. Then, after accomplishment of the elementary act of signal transformation, the protein, under the influence of the membrane lateral pressure, returns to the initial state (Fig. 10 B). Several other similar schemes could be suggested, however, this one should suffice to understand the principle.

If we now consider Fig. 10B, it becomes evident that black triangles are quasi “loudspeakers” through which the protein emits the surplus energy of excitation in the course of relaxation into the initial state, and this energy is emitted as a phonon. In its turn, the phonon can be scattered on the defects of the quasi-solid bilayer fragment, its energy being channeled to heating the cell as a whole. Besides, the phonon can propagate along the quasi-solid bilayer fragment to the next protein membrane system (either an individual molecule or an ensemble of various molecules) and serve for the latter an external signal. In Fig. 1 A this would be depicted as another black triangle (but this time, a phonon receiver) at the non-excited protein molecule. The arrow “signal” would be shifted to the membrane so as to point to this triangle. It could coincide or appear close to the arrow of “relaxation” in Fig. 10 B. Further details are evident from this scheme.

It is now possible only express the most general considerations about the specific mechanism of transmission of intracellular information using biophonons. Have it is obtained that there is an intracellular language, words of which are "phonon packets." This is all information that is known about the cellular language for this moment. But it may be important for the problem of understanding the mechanism of "biological computer". In our case, may be said that more specifically, the information relates to the biomechanical machines [66], because we consider the biomembranes, as the classical and quantum mechanical systems. In other words, it is about understanding the possible mechanisms of transmission of information that a section of a cell subjected to external or internal influence, the coordination of the various membrane and/or intracellular protein systems, etc.

Now it becomes clear the role of the disordered hydrocarbon phase of the lipid molecules in the center of the lipid bilayer of the biomembrane. Because of the disordered structure, biophonons may not be distributed in the central region of the biomembrane. Thus, there is a separation of information flows in biological membranes. Consequently, the need to have nonlipid molecules for signals transmission from the outside of the biomembrane and vice versa. Thus, the transmembrane protein of the system must perform one more function – to provide information exchange between the inner contents of the cell and its surroundings. Now you can with a certain pain safe to say that the boundary between the living cell and its environment takes place in the central region of the lipid bilayer of biological membranes.

Quantitative studies of the transformation and transmission of information signals, the mechanism of their effect on the life of cells, questions related to the work of cell signaling systems are beginning to engage more and more of the various scientists and research groups around the world [67 – 73]. The authors note a number of advantages biocomputers what can be seen live cell systems, compared with those that we usually use: a colossal memory capacity, micro sizes, versatility, etc. Much more important is the study of cellular systems with multiple states. Moreover, the transitions between these states are provided by control inputs of different nature.

Here's an example: suppose that the cell has sixteen different states and, furthermore, it interacts with many of the same neighboring cells. Of course, a cell with sixteen states by itself enough to fit that, but associated with the billions of congeners, it can form a memory unthinkable capacity. Figuratively speaking, a teaspoon of the solution with the bacteria could have the memory of all the current computers. But the question arises how to program such biosystems?

The problem, at least, complex, and on the way to her researchers have to solve another one - to learn how to manage the processes of interactions between proteins and genes. How to enter and display information from the bio-computers? I do not seem promising to manage such biocomputer by chemical reactions [73, 74]. So it is very slow and difficult way – it is unlikely that he realized in nature as the sole and universal way.

However, the biophonons mechanism of interaction membrane systems first theoretically predicted and experimentally confirmed makes a simple and understandable process of information exchange between different membrane systems, interference on one another and synchronizes their work.

 

Fig 10. The Simplest scheme of the membrane proteins operation. (The Explanation in text.)

As part of MMB may be explained, and many aspects of the functioning of the nervous system process transmission of nerve impulses becomes a simple, clear and consistent [5 – 8, 10, 29 – 31, 75, 76].

Briefly the essence of the process lies in the fact that the receptor neuron, receiving an external signal (stimulus) is activated, emitting "phonon package", utilizing one or more C-atoms of the lipid hydrocarbon chains. (Fig. 9, 10) This "phonon packet", then spreads to the ordered regions of the biomembrane. Later, perhaps, that regardless of me the nature sounds a nerve impulse arrived by other authors [77]. However, they suggest that the nervous impulse is distributed in the form of solitons – structurally stable solitary waves propagating in a nonlinear medium [78]. But it is difficult to speak of a stable wave, consisting of one or two phonons. A sound wave is still a close-up characteristic of the environment and the processes occurring in it. Hopefully, it's just unfortunate use of the term. If we put aside because the soliton, a term related to the macrosystem, and appeal to his sense, then here it coincides with the previously introduced the terms "phonon word" and/or "phonon package." Just have to reiterate that while in MMB no generally accepted terminology, and MMB itself is not yet there.

First of all, let us estimate the order of the time required for biophonon pass one lipid molecules in biomembranes. Phonons propagate speed is equal to sound speed in this medium, which for liquid oils is ~ 1000 m/sec. Linear size of the lipid molecules in biomembranes with their characteristic ΔÐ is equal to ~ 10 Ǻ. Then the time required to pass a single phonon lipid molecules ~ 10-10 sec. This time several orders of magnitude smaller than the characteristic time describing the motion of lipid molecules colliding as a whole in biomembranes, which was mentioned earlier in this paper.

Thus, for the time necessary to overcome the phonon distance of several cm lipids in biological membranes can be regarded as virtually immobile. This means that biophonon distributed in nearly regular, crystalline structure characteristic of the polar regions of the biomembrane. However, although the membrane for periods of time ~ 10-10 – 10-9 sec and can be viewed as biocrystal, in reality it has the properties of the gas condensed, but the gas. It should present some defects in the form of the density fluctuations, shifts the lipid hydrocarbon chains relative to each other, etc. In such time intervals that are characteristic of the phonon signal for distribution in biological membranes, the latter can be regarded as an imperfect crystal containing defects in their structure. The presence of defects leads to distortions in the structure of the transmitted information signal, weakening it – a reduction of its intensity and the emergence of other noise. Therefore, when sending a signal to the "long distance" course at the cell scale, it is necessary to periodically increase and adjust, i.e., clean up and correct the possible distortions in the signal.

The need to transmit data signal to the "long range", sometimes several tens of centimeters, there is in the axons of nerve cells (in neurons). In the works related to the study of alcohol and other organic solvents and other compounds soluble in the hydrophobic region of biological membranes, it is shown that they violate the transfer in the membranes of bio-phonon data signals through the creation of a bilayer lipid matrix defects in its structure, and possibly at the expense of changes its compressibility. The internal volume of the neuron is used for life support of the cell. There the intracellular transport of those components, synthesis, metabolism of proteins, neurotransmitters [79] and other molecules necessary for cell function as a living system. And most importantly, ensures the functioning of the cell "information" of molecular membrane system, maintaining its efficiency and constant readiness to transmit signals, as transmission of information and transport of substances needed for the cell space divided among them. (Simplified description, but does not alter the fundamental picture.)

In any textbook on information transmission may be read to signal that the need to periodically adjust its increase and its possible distortion. Therefore needed intermediate repeater station, which may, if necessary, to produce more, switching and/or transformation (encoding), they received signals. These stations must be in constant readiness and be provided with independent power source. In our case we are dealing with a "molecular amplifier", which must be periodically placed along the length of the neutron (the axon). The structure of the axon satisfies all these requirements. We see a regular structure; along which there are equal nodes of Ranvier (intercepts). Then we get the information signal, and the accompanying potential jump that occurs in these areas – well known to all potential actions that accompany the propagation of nerve signals along the axon, and the resulting work of molecular "amplifiers". Naturally for the molecular phonon amplifier used source of energy that is always "in hands" – a source of electrical energy, is always present in biological cells the transmembrane potential difference. It does not matter which particular point or points of eclectic capacitor, what is the lipid bilayer of the biomembrane, capacity, because on the plates (plates) of the capacitor, it is installed everywhere the same. Membrane potential exists all over cell surface and may be used at any point and at any time. It does not really matter where the molecular "electric generator" and the speed of his work (his power). The slow speed of the "generator" may be compensated for their number. The only thing that it is desirable to do – to isolate the membrane surface to compensate its spontaneous discharge. The myelin sheath of axons that way it looks and has all the necessary properties: it is a good electrical insulator, and also prevents the penetration of biological membranes of surface-active compounds that may cause the formation of structural defects in the lipid bilayer matrix. In other words, in this case, we have all the necessary and sufficient for the functioning of molecular quantum-phonon membrane information chain.

It is obvious that to destroy the molecular system possible in several ways: to destabilize the signal transduction pathways and/or disrupt the molecular "amplifiers". Enough to break down one of the "molecular amplifier" on the line, so all the line is not working. It needs to recover, or seek ways around to transfer the information. Of course, that the simultaneous violation of signaling pathways and molecular amplifiers, which may be added signal sources and receivers of these signals is finite, will reach its goal – the destruction of the whole information system of cells – faster and have more varied. In other words, it is obvious that the larger units and pieces of cell information system we break, then the more destabilizing the whole system work.

It seems that some drugs – opiates, cocaine and others – are acting specific to the protein part of the "molecular amplifier", blocking the activity of individual sections of membrane proteins. Drugs temporarily block the work of membrane amplifiers, and neurotoxins bind irreversibly, completely blocking the transmission of nerve impulses.

There are non-specific compounds which may "dissolved" in the lipid bilayer regions of biological membranes. One of the best known compounds of this kind is alcohol (C2H5OH) with the action that is facing a wide range of people, not just experts who study it especially from a professional point of view.

It is reasonable to assume that the better solubility of the molecules in lipid membranes, then, respectively, all other things being equal, they would form a greater number of defects and stronger influence on the parameters of the membrane, the stronger the activity of these compounds. I.e. it is obtained by previously known Meyer-Overton rule [80].

Must again be noted that alcohol, organic solvents, anesthetics and other similar molecules of different nature, including the gases used for anesthesia, within the framework MMB have fundamentally similar molecular mechanism of action. The mechanism of action depends on their solubility in membranes, rather than on the chemical structure of the compounds. That is why the description is carried out and an alternative mechanism for this rather broad class of compounds. Of course, in between there may be differences, but these differences are not fundamental, which also coincides with the findings obtained in independent studies [29 – 31].

All above stated can be formulated briefly as follows: foreign molecule "dilute" the inner hydrocarbon region of lipid bilayer of biological membranes, disrupting the functioning of membrane proteins, preventing their activation and/or return (relaxation) to its original state once they complete the elementary act of its operation. This occurs because change the integral parameters of biomembranes – its lateral surface pressure (surface free energy of the interface membrane - washing her solution) and the lateral compressibility. In this same process can be violated exchange of signals between different protein molecules (systems) within the biological membrane. What is especially important for the signals in nerve cells. More details on this process considered previously [29 – 31].

The action of these compounds (alcohol and other organic "solvents") leads to the fact that the cell perceives their presence, as the action of high temperature, which also gives rise to defects in the quasi-crystalline matrix of the biomembrane. This is the thermal defects that arise due to increased thermal motion of molecules. But this rise in temperature only "apparent" real organism lives in the same conditions that had lived before, but these conditions are perceived as abnormal (hotter than they really are).

Nervous system exists that would quickly send information signals from the periphery to the brain for processing and issuing commands to the executive organs and tissues, for example, to perform any movement by the muscles.

Naturally, this is a quick transfer of the received signal to the addressee - it is the whole system exists, which requires expenditure of energy from protein system – the amplifier. Often, the speed and accuracy of the transmission and analysis of information received depends on the very life of the organism. As a result, inactivation of this system – dominoes fell (Fig. 6). Then the system needs to be translated to its original state - you need to again raise and set dominoes. There is already another form of transformation needed energy (chemical and/or electricity) for which the most likely to have effects other protein systems (or subsystems). Electrical membrane potential should be used (this is logical) in the transfer of the phonon signal "molecular amplifier" because it exists on the entire surface of the biomembrane, but not ruled out the use of other energy sources. However, in the case of chemical energy must be targeted to deliver the required connection to the place of their use. And this is a relatively slow process, which is the limiting stage of diffusion of compounds within the cell along a gradient of electrochemical potential. At this stage, returning to its original state – may well be relatively slow, perhaps running through a few steps or intermediate states. The slow reaction is easily offset by their number. If the return of molecular amplifiers in the initial state depends on the transmembrane potential, it is natural that, affecting the latter, we will disrupt the entire nervous system. And it's fairly well-known process electro anesthesia [78, 79]. To do so, impose the electrodes on the head with general anesthesia or to a particular nerve trunk innervating the area for which you want to process pain. The best effect is achieved by applying to the electrodes of rectangular pulses with a frequency of 100 – 200 Hz. It is possible that this frequency is associated with the time needed to bring the molecular amplifiers in working condition after the operation, i.e. perform a one-time act to strengthen and/or correction of the transmitted signal. Obviously, this is sufficient gross interference in the membrane of molecular amplifiers can lead to their inadvertent operation, resulting in spontaneous twitching of muscles under the influence of an external electric potential, which is not always acceptable.

The mechanism described suggests the existence and other physical methods of anesthesia, which will no longer have the disadvantages of the previously existing methods and/or upgrade the last of these same goals.

Thus, it appears that the recorded neurons upon excitation the action potential is not by nerve impulses, but the result of recovery after the operation of the amplifier of the membrane to its original state ready for use, i.e. to strengthen and/or correction of the transmitted information signal photon. In other words, that uses pre-stored cell energy of the electric field that is available anywhere at the cell membrane.

It is shown that the phonon mechanism of transmission of nerve impulses well explain the existence of threshold values, when in response to stimulation of the nerve impulse does not occur [65].

In conclusion, of this part of article gives picture of (Fig. 11), where the author also tried to portray realistically the non-existent quasi particle – a phonon [80].

Fig. 11. Another attempt to portray a phonon.

How could the author cope with this task – to judge you, but this picture is similar to that and I was trying to portray.

closing

Stated in this article MMB allow us to consider biological membranes as a mechanical system obeying to the same time and in one the same place the laws of classical and quantum mechanics. The boundary between quantum and classical effects is the velocity occurring in living systems processes. Quanta that transmit the mechanical interaction in biomembranes are (bio) phonons that not only transfer energy from one system to another protein but may be while information signals of still large enough information capacity – "phonon package" or "phonon word" acting in the living systems. In the beginning was the Word, and the Word was with God… In Him was life…. (John 1.1, 1.4).

Thus, the membrane possible to speak, are a mixture of two quasi gases condensed two-dimensional quasi crystal gas variable curvature consisting from molecules and gas, non-material quasi-particles – biophonons. Both are characterized by gas-specific parameters for each cell, the first gas (membrane lipid matrix) – to its surface pressure and compressibility, and the second – Σ ħωi – their frequency and structure. These parameters of both gases allow existing and function in biological membranes are not arbitrary molecules, but only those that correspond to these parameters. This fact is significant for pharmacology and genetic engineering. Not any molecule working in the membrane its native cells can penetrate and operate in the membrane of another cell.

Part of the other conclusions stemming from the MMB, were considered in the text of this article and references cited. This conclusion concerning the mechanism of action of alcohol, local anesthetics, sound, etc. It is described the mechanism extreme gas disinfection of various equipment, volumes, air-conditioning systems, etc. in situations where the object is not known and/or no time for it identification.

Really in this article it is impossible to describe all the conclusions arising from the MMB. Purpose of the article was a popular exposition of the basic concepts and rationale of the terms used an explanation of their physical nature.

In conclusion I would like to briefly mention some of the medico-biological aspects that are specific to MMB. Conducted the initial measurement of the phonon spectra of various living cells, showed their suitability for identification of the latter [7, 81], and moreover many-component systems. Naturally, the normal and abnormal cells are different from each other. It is not difficult to work on one type of cells without affecting other cells in the system. The simplest effect on cells is the initiation of their death, that just as suitable for the diagnosis and control of tumors.

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