On soliton propagation in biomembranes and nerves.

The lipids of biological membranes and intact biomembranes display chain melting transitions close to temperatures of physiological interest. During this transition the heat capacity, volume and area compressibilities, and relaxation times all reach maxima. Compressibilities are thus nonlinear functions of temperature and pressure in the vicinity of the melting transition, and we show that this feature leads to the possibility of soliton propagation in such membranes. In particular, if the membrane state is above the melting transition solitons will involve changes in lipid state. We discuss solitons in the context of several striking properties of nerve membranes under the influence of the action potential, including mechanical dislocations and temperature changes.

[1]  Udo Kaatze,et al.  Compressibility of Lipid Mixtures Studied by Calorimetry and Ultrasonic Velocity Measurements , 2002 .

[2]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[3]  I. Tasaki.  A macromolecular approach to excitation phenomena: mechanical and thermal changes in nerve during excitation. , 1988, Physiological chemistry and physics and medical NMR.

[4]  J P Wikswo,et al.  Magnetic field of a nerve impulse: first measurements. , 1980, Science.

[5]  K. Iwasa,et al.  Mechanical changes in squid giant axons associated with production of action potentials. , 1980, Biochemical and biophysical research communications.

[6]  K Kusano,et al.  Rapid mechanical and thermal changes in the garfish olfactory nerve associated with a propagated impulse. , 1989, Biophysical journal.

[7]  I. Tasaki,et al.  Effects of Tetrodotoxin on Excitability of Squid Giant Axons in Sodium-Free Media , 1967, Science.

[8]  T. Hianik,et al.  Cholesterol-induced variations in the volume and enthalpy fluctuations of lipid bilayers. , 1998, Biophysical journal.

[9]  A Watanabe,et al.  Changes in fluorescence, turbidity, and birefringence associated with nerve excitation. , 1968, Proceedings of the National Academy of Sciences of the United States of America.

[10]  J. M. Sanz-Serna,et al.  Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation , 1988 .

[11]  R. Dimova,et al.  Pretransitional effects in dimyristoylphosphatidylcholine vesicle membranes: optical dynamometry study. , 2000, Biophysical journal.

[12]  Gerald H. Pollack,et al.  Cells, Gels and the Engines of Life: A New Unifying Approach to Cell Function , 2001 .

[13]  T. Heimburg.  Mechanical aspects of membrane thermodynamics. Estimation of the mechanical properties of lipid membranes close to the chain melting transition from calorimetry. , 1998, Biochimica et biophysica acta.

[14]  J. Loeb,et al.  EVIDENCE FOR PHASE TRANSITION IN NERVE FIBERS, CELLS AND SYNAPSES , 1999 .

[15]  W. Hardy.  The Conduction of the Nervous Impulse , 1918, Nature.

[16]  Excitability of squid giant axons in the absence of univalent cations in the external medium. , 1966, Proceedings of the National Academy of Sciences of the United States of America.

[17]  T. Heimburg,et al.  Enthalpy and volume changes in lipid membranes I. The proportionality of heat and volume changes in the lipid melting transition and its implication for the elastic constants. , 2001 .

[18]  A. Hill,et al.  The positive and negative heat production associated with a nerve impulse , 1958, Proceedings of the Royal Society of London. Series B - Biological Sciences.

[19]  A. Aminoff.  Cells, gels and the engines of life. A new, unifying approach to cell function , 2003 .

[20]  T. Schäffer,et al.  Analyzing heat capacity profiles of peptide-containing membranes: cluster formation of gramicidin A. , 2003, Biophysical journal.

[21]  D. Gill,et al.  Biradical spin labeling for nerve membranes. , 1969, Proceedings of the National Academy of Sciences of the United States of America.

[22]  T. Heimburg,et al.  Relaxation kinetics of lipid membranes and its relation to the heat capacity. , 2002, Biophysical journal.

[23]  A. Karimi,et al.  Master‟s thesis , 2011 .

[24]  I. Tasaki,et al.  Volume expansion of nonmyelinated nerve fibers during impulse conduction. , 1990, Biophysical journal.

[25]  T. Heimburg.  A model for the lipid pretransition: coupling of ripple formation with the chain-melting transition. , 2000, Biophysical journal.

[26]  C. J. Adkins.  Thermodynamics and statistical mechanics , 1972, Nature.

[27]  W. Landau,et al.  The Conduction of the Nervous Impulse , 1965, Neurology.

[28]  S. Mitaku,et al.  Anomalies of nanosecond ultrasonic relaxation in the lipid bilayer transition. , 1982, Biochimica et biophysica acta.

[29]  R. Keynes,et al.  The origin of the initial heat associated with a single impulse in mammalian non‐myelinated nerve fibres , 1968, The Journal of physiology.

[30]  B. Chait,et al.  The structure of the potassium channel: molecular basis of K+ conduction and selectivity. , 1998, Science.