Quantum theory of nerve excitation

Based on quantum transitions of membrane dipoles, the four fundamental properties of nerve impulse are derived in this paper: the all-or-none response, the strength-duration relation, refractoriness and refractory period and frequency modulation. Furthermore, the theory offers a physical mechanism for nerve excitation similar to a two-level ammonia maser. It also implies non-threshold excitation at elevated temperatures. The role of trimethylamine ions near the surface of a phospholipid membrane is briefly discussed to indicate a possible connection between theory and reality.     

Properties of the stochastic energization-relaxation channel model for vectorial ion transport

A model for the primary active transport by an ion pump protein is proposed. The model, the "energization-relaxation channel model," describes an ion pump as a multiion channel that undergoes stochastic transitions between two conformational states by external energy supply. When the potential profile along ion transport pathway is asymmetrical, a net ion flux is induced by the transitions. In this model, the coupling of the conformational change and ion transport is stochastic and loose. The model qualitatively reproduces known properties of active transport such as the effect of ion concentration gradient and membrane potential on the rate of transport and the inhibition of ion transport at high ion concentration. We further examined the effect of various parameters on the ion transport properties of this model. The efficiency of the coupling was almost 100% under some conditions.     

Effects of small nonpolar molecules on membrane compressibility and permeability: A theoretical study of the effects of anesthetic gases

We explore from a theoretical perspective the effects of small nonpolar molecules, such as anesthetic gases, on membrane compressibility and permeability. As a model system we expand a previously proposed generalization of Nagle's model for biomembrane phase transitions. In this model anesthetic gases alter membrane compressibility, causing profound changes in membrane permeability. Anesthetics either increase or decrease membrane permeability, depending on whether the membrane lipid is originally in the solid or melted state, or in a two-phase region. These changes are reversed by high pressure, in agreement with experimental results. Anesthetic-induced changes in compressibility are predicted to inhibit fusion of phospholipid vesicles to each other and to planar bilayers, and thus might be expected to inhibit the fusion of presynaptic vesicles with the presynaptic nerve membrane. This work provides a detailed molecular theory for many of the effects of anesthetic gases on both synapse and axon, and provides a coherent framework for understanding diverse experimental results.     

The flux-force relations across complex membranes with active transport

Equations are derived for the total material flux, and the total electric current flux, across a complex membrane system with active transport. The equations describe the fluxes as linear functions of forces across the system, and specifically of electrical potential, hydrostatic pressure, chemical potentials, and active transport rates. The equations can be simplified for experimental studies by making one or more of the forces equal to zero. The osmotic pressure difference across a membrane system is shown to be a function of the electrical potential and chemical potential differences and of the active transport rates. The transmembrane potential is shown to be the sum of a diffusion potential and an active transport potential. A simple equation is derived describing the current across a membrane as a linear function of the electrical potential and the active transport rate. Specific examples of the application of the equations to nerve membrane potentials are considered.     

Retardation currents in excitable membranes and models of flicker noise

We have presented (Holden and Rubio, 1976) a model for flicker noise in nerve membranes in which there are interactions between adjacent ionic channels. These interactions are proposed to be mediated by order-disorder transitions in the membrane matrix. In this paper we explore the relaxation behaviour of our model, and, using transition state theory, predict a new class of membrane ionic currents which we call retardation currents. Such retardation currents have slow (hundreds of ms) kinetics, a low temperature dependence and appear as inactivation processes. We consider some candidate retardation currents.     

A channel model with fluctuating barrier structures.

Following the theory 'Fluctuations of barrier structure in ionic channels' (L?uger, P., Stephan, W. and Frehland, E. (1980) Biochim. Biophys. Acta 602, 167-180), we constructed a model of a channels with several conformational states. The origin of these conformational states and the source for the transitions from one to the other are given explicitly for the presented model. In this work the effect of multiple conformational states on the ion transport process is analyzed. We considered a channel protein with two main barriers and one binding site. The site is surrounded by dipolar groups. The dipole moment of these groups can be reoriented by thermal activity and also by electrical interaction with the transported ions. Differently polarized states generate different activation energy barriers for the ions. The set of conformational states of the channel is constituted by all the possible polarized states of the binding site. Using the rate-theory analysis of ion transport (Gl?sstone, S., Laider, K.J. and Eyring, H. (1941) The theory of rate processes, McGraw-Hill, New York), the possible coupling between ion flux and the channel conformational transitions has been incorporated into the model by considering the dependence of the rate constants on the heights of the energy barriers. The resulting multistate kinetic equations have been solved numerically. It was shown that the simple saturation characteristic of the flux-concentration curve was obtained. For certain values of the model parameters, the channel shows a strongly different conductance for anions compared to cations. In fact, the model contains an interesting mechanism that exhibits selectivity with respect to the charge of the ions.     

Effect of the medium redox potential on the growth and metabolism of anaerobic bacteria

Based on the available literature data on a decrease in the redox potential of medium to low negative values and a decrease in pH during the growth of sugar-fermenting anaerobic bacteria, it was concluded that these processes cannot be described by the theory of redox potential. A theory was developed according to which the regulation of bacterial metabolism is accomplished through changes in the redox potential. The theory considers the redox potential as a factor determining the growth of anaerobic bacteria, which is regulated by oxidizers and reducers. The assumption is put forward that, under anaerobic conditions, bacteria are sensitive to changes in the redox potential and have a redox taxis. The effect of the redox potential on the transport of protons and other substances through membranes and the activity of membrane-bound enzymes, including the proton F1-F0-ATPase, whose mechanisms of action involve changes in the proton conductance of the membrane, the generation of proton-driving force, and dithiol-disulfide transitions in proteins was studied.     

Action of Brefeldin A on Amphibian Neurons: Passage of Newly Synthesized Proteins Through the Golgi Complex Is Not Required for Continued Fast Organelle Transport in Axons

Abstract: The relation between the availability of newly synthesized protein and lipid and the axonal transport of optically detectable organelles was examined in peripheral nerve preparations of amphibia (Rana catesbeiana and Xenopus laevis) in which intracellular traffic from the endo-plasmic reticulum to the Golgi complex was inhibited with brefeldin A (BFA). Accumulation of fast-transported radio-labeled protein or phospholipid proximal to a sciatic nerve ligature was monitored in vitro in preparations of dorsal root ganglia and sciatic nerve. Organelle transport was examined by computer-enhanced video microscopy of single myelinated axons. BFA reduced the amount of radiolabeled protein and lipid entering the fast-transport system of the axon without affecting either the synthesis or the transport rate of these molecules. The time course of the effect of BFA on axonal transport is consistent with an action at an early step in the intrasomal pathway, and with its action being related to the observed rapid (<1 h) disassembly of the Golgi complex. At a concentration of BFA that reduced fast-transported protein by >95%, no effect was observed on the flux or velocity of anterograde or retrograde organelle transport in axons for at least 20 h. Bidirectional axonal transport of organelles was similarly unaffected following suppression of protein synthesis by >99%. The findings suggest that the anterograde flux of transport organelles is not critically dependent on a supply of newly synthesized membrane precursors. The possibilities are considered that anterograde organelles normally arise from membrane components supplied from a post-Golgi storage pool, as well as from recycled retrograde organelles.     

Membrane model of the regulation of proliferation: the theory and interpretation of an experiment

The role of cell surface physical organization in the cell cycle regulation is analyzed within the framework of the earlier proposed theory (Chernavskii et al., 1982). Two models of cell surface are considered: hard-frame fluid-mosaic model (latticemosaic) and the fluid-mosaic one. The former deals with normal cells. The existence of integral carcasse or "frame" which is formed by the essential part of cross-linked membrane components and may have at least two different conformational states is hypothesized. The second model describes membranes of tumour cells. With the latter theory any mitogen (excluding the restoration of nutrient depletion) reduces the mechanical tensile strength of the frame and stimulates the general structural rearrangement of the plasma membrane. There are only two conformational transitions during the cell cycle which serve as signals for the beginning of S and M phases. If the values of tensile strength are great enough and therefore the conformational transitions are impossible, the cells pass into the resting (prereplicative--G01, or premitotical--G02) state. Three types of experiments are interpreted in the proposed theory: a) on differences in the action of growth factors on normal and tumour cell cycle, b) on the necessary condition for mitogenicity of lectins, c) on the stimulation of proliferation by mechanical deformation of cells.     

Study of changes in diacylglycerol content on nerve excitation

Rhythmic excitation of a rabbit myelin nerve increased diacylglycerol (DAG) content from 1.53 to 2.17 microg/mg lipids. Inhibition of phosphoinositide-specific phospholipase C decreased DAG content. This suggests involvement of this enzyme in processes accompanying rhythmic excitation. The increase in membrane potential of the nerve fiber (K+-depolarization) was accompanied by increase in DAG and phosphatidylinositol monophosphate and decrease in phosphatidylinositol triphosphate and phosphatidylinositol diphosphate content. Treatment of the nerve with DAG or a protein kinase C activator increased (45)Ca influx by 40%, whereas treatment with an inhibitor of this enzyme, polymyxin, inhibited this parameter by 34%. The role of phosphoinositides and protein kinase C in the regulation of Ca2+ transport during rhythmic excitation of the myelin nerve is discussed.     

The free energy of biomembrane and nerve excitation and the role of anesthetics

In the electromechanical theory of nerve stimulation, the nerve impulse consists of a traveling region of solid membrane in a liquid environment. Therefore, the free energy necessary to stimulate a pulse is directly related to the free energy difference necessary to induce a phase transition in the nerve membrane. It is a function of temperature and pressure, and it is sensitively dependent on the presence of anesthetics which lower melting transitions. We investigate the free energy difference of solid and liquid membrane phases under the influence of anesthetics. We calculate stimulus-response curves of electromechanical pulses and compare them to measured stimulus-response profiles in lobster and earthworm axons. We also compare them to stimulus-response experiments on human median nerve and frog sciatic nerve published in the literature.     

Histochemical localization of gamma glutamyl transpeptidase in the paranodal region of peripheral nerve

Gamma glutamyl transpeptidase (GGT), an amino acid transport enzyme, was investigated in normal and degenerated sciatic nerve of rat. The enzyme activity, which is considered to be a marker for cerebrovascular endothelium, was found to be absent in microvessels of normal and degenerated nerves. In the perineurium of normal nerve, GGT activity was faint, while in degenerated nerve, it increased. The most striking finding of this study was the observation of GGT activity at the paranode of each normal myelinated axon. It is interesting that after axotomy (8 weeks), no GGT activity was observed in the Schwann cells of degenerated nerve. Thus, Schwann cell plasmalemma contributed to GGT staining only when this cell was in contact with an axon mature enough to cause it to produce myelin. We conclude that, in peripheral nerve, transmembrane amino acid transport is apparently regional and associated with the paranodal region of myelinated nerve fibers.     

Mechanics of solute translocation catalyzed by enzyme IImtl of the phosphoenolpyruvate-dependent phosphotransferase system of Escherichia coli.

The kinetics of binding of mannitol to enzyme IImtl embedded in the membrane of vesicles with an inside-out or a right-side-out orientation were analyzed at 4 degrees C in the absence of the phosphoryl group donor, P-HPr. The binding to the right-side-out oriented vesicles equilibrated too fast to be monitored by the flow dialysis technique. On the other hand, with the inside-out oriented membrane vesicles two conformational changes of the enzyme could be detected kinetically. One change involved a recruitment of binding sites from a state of the enzyme where the binding sites were inaccessible from the cytoplasmic volume. The second change involved a conformational change of the enzyme that followed upon the initial binding to the cytoplasmic-facing binding site leading to a state with a higher affinity for mannitol. Equilibrium binding to the inside-out and right-side-out oriented membrane vesicles at 4 degrees C indicated that the two transitions did not represent the translocation of the binding site, free and with mannitol bound to it, to the other side of the membrane. Instead, a model is proposed in which the conformational changes represent transitions from states with the binding pocket opened to the cytoplasmic side of the membrane to occluded states of the enzyme in which the binding sites, with or without mannitol bound, are not accessible to either side of the membrane.     

Symmetry and the stationary state behavior of enzyme membranes

An analysis of the stationary state behavior of model enzyme (or catalytic) membranes is considered. In particular, membrane functional symmetry is shown to be of critical importance in deriving a unique set of global linear phenomenological relations from their local counterparts. Indeed the appropriate transformation of the dissipation function, based on the correct identification of the “transport plane” within the membrane, leads to a global analog of the Curie Principle. By extending the argument from the near-equilibrium regime to the pseudo-first-order kinetic regime a set of practical equations can be derived. These make it possible to obtain local transport and reaction parameters from global measurements. The facilitation of transport by reaction is discussed.     

Domains of calcium channels as dissipative structures in a simulated neuron

The lateral distribution of open calcium channels of the fluid-mosaic membrane were investigated in a phenomenological model of a cylinder-shaped nerve cell. The local density of the channels changed due to their lateral diffusion and voltage- and calcium-dependent conformation transitions between open and closed states. Domains with an increased steady density of the open calcium channels were created as a result of action of intracellular calcium on its own channels, increasing the probability of the open state of the latter. These spatially nonuniform distributions of the channels are considered dissipative structures emerged in the active nonlinear medium at the expense of energy of active transport.Neirofiziologiya/Neurophysiology, Vol. 26, No. 2, pp. 99–107, March–April, 1994.     

Carrier facilitated diffusion

The concept of a mobile carrier combining reversibly with a substrate is considered as a possible mechanism for facilitated transport across biological membranes. The mathematical model is a system of three reaction diffusion equations with certain boundary conditions. Two limiting cases are discussed in detail: The case of a "thin" membrane where the diffusion of bound and unbound carrier from one surface to the other may be simulated by a single jump. If the diffusion rate of the substance to be transported is small, then an approximate stationary solution is derived using singular perturbation theory. Finally, the results of numerical simulations are presented for a wide range of parameters.     

Semiconductor theory of ion transport in thin lipid membranes: I. Potential and field distributions

In the theory as presented in this paper and the following one, we shall attempt to apply the semiconductor principles and methods to the study of ion transport in thin lipid membranes. Detailed formulations are given on the potential energy barriers at the interfaces, voltage drops in the polar and non-polar regions, and potential and field distributions in the diffuse double layer and within a charged membrane. These results will be used mainly as the boundary conditions for the solution of ion flow as to be given in the following paper. The analysis clearly indicates that the ion transport is interface-limited and is profoundly influenced by the presence of surface charges. An explanation of Na⁺ extrusion in nerve membrane is given based on the field distribution analysis. The theory also suggests that the “membrane potential” depends mainly on surface charges but not necessarily on ion permeation through the membrane.     

Changes in host cell membrane activities in response to adhesion of Neisseria gonorrhoeae

Physiological changes in host cell model membranes (intact human erythrocytes and ghosts) as a consequence of bacterial adhesion were studied with special reference to Neisseria gonorrhoeae. Membrane activities examined were transport of K+, Cl- ions, pyruvate kinase, Na-K-dependent ATPase, and cAMP. We found that K+ and Cl- transport were affected, more so in membranes with attached pilated (P+) organisms than in those with apilated (P-) isogenic strains. In N. gonorrhoeae and in several other species of gram-negative bacteria studied, hemagglutination titres were directly correlated with effects on anion transport, suggesting that perturbations in anion transport are an immediate result of adhesion. Of three P+ gonococcus strains tested, two depressed Na-K-ATPase activity in the membrane, indicating a possible effect on the Na-K pump. Pyruvate kinase activity associated with the membrane appeared to be stimulated by attached gonococci, again by P+ strains to higher levels than P- organisms. Clearly, some enzyme properties of host membranes are intrinsically affected by bacterial adhesion. Human polymorphonuclear neutrophils were also investigated, and with some exceptions, changes observed in leukocyte enzyme activities tended to parallel those in erythrocytes. Since hypochlorous acid production is considered to be an important microbicidal mechanism in neutrophils, interference with Cl- transport could jeopardize their role in host defense.     

Adenine nucleotides in cholinergic transmission: presynaptic aspects.

1. Isolated nerve terminals (T-sacs and synaptosomes) prepared from the purely cholinergic Torpedo electric organ have been studied for their ability to incorporate and metabolise [2-3H] adenosine and to degrade 5'-AMP to adenosine. 2. A temperature-dependent, saturable uptake system for adenosine was found with kinetic properties similar to nucleoside transport systems in other cells. The uptake system in Torpedo nerve terminals was inhibited by 2'-deoxyadenosine, a known inhibitor of adenosine transport. 3. Intraterminal adenosine is rapidly metabolised to a number of products including AMP, ADP and ATP. 4. Isolated nerve terminals contain considerable 5'-nucleotidase activity, most of which resides on the outer face of the external membrane. The Km of the enzyme is congruent to 5 micron and it is inhibited by a phosphonate analogue of ADP, alpha-beta-methylene-ADP. It is suggested that this 5'-nucleotidase plays an important role in the production of adenosine from a nucleotide pool in the synaptic cleft.