[1] Hodgkin, A.L. and Huxley, A.F. (1952) A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve. The Journal of Physiology, 117, 500-544.
https://doi.org/10.1113/jphysiol.1952.sp004764
[2] Engelbretcht, J. (1981) On Theory of Pulse Transmission in a Nerve Fibre. Proceedings of the Royal Society of London, 375, 195.
https://doi.org/10.1098/rspa.1981.0047
[3] Tasaki, I. and Matsumoto. G. (2002) On the Cable Theory of Nerve Conduction. Bulletin of Mathematical Biology, 64, Article ID: 1069.
https://doi.org/10.1006/bulm.2002.0310
[4] Heimburg, T. and Jackson, A.D. (2005) On Soliton Propagation in Biomembranes and Nerves. Proceedings of the National Academy of Sciences of the United States of America, 102, 9790-9795.
https://doi.org/10.1073/pnas.0503823102
[5] Dikandé, A.M. and Ga-Akeku, B. (2008) Localized Short Impulses in a Nerve Model with Self-Excitable Membrane. Physical Review E, 80, Article ID: 041904.
https://doi.org/10.1103/PhysRevE.80.041904
[6] Keynes, R.D. and Aidley, D.J. (1982) Nerve and Muscle. Cambridge University Press, Cambridge, MA.
[7] Fongang Achu, G., Moukam-Kakmeni, F.M. and Dikandé, A.M. (2018) Breathing Pulses in the Damped-Soliton Model for Nerves. Physical Review E, 97, Article ID: 012211.
https://doi.org/10.1103/PhysRevE.97.012211
[8] Engelbrecht, J., Peets, T., Tamm, J., Laasmaa, M. and Vendelin, M. (2018) On the Complexity of Signal Propagation in Nerve Fibres. Proceedings of Estonian Academy of Science, 67, 28-38.
https://doi.org/10.3176/proc.2017.4.28
[9] Warman, E.N., Grill, W.M. and Duran, D. (1992) Modeling the Effects of Electric Fields on Nerve Fibers: Determination of Excitation Thresholds. IEEE Transactions on Biomedical Engineering, 39, 1244-1254.
https://doi.org/10.1109/10.184700
[10] Grill, W.M. (1999) Modeling the Effects of Electric Fields on Nerve Fibers: Influence of Tissue Electrical Properties. IEEE Transactions on Biomedical Engineering, 46, 918-928.
https://doi.org/10.1109/10.775401
[11] Mueller, J.K. and Tyler, W.J. (2014) A Quantitative Overview of Biophysical Forces Impinging on Neural Function. Physical Biology, 11, Article ID: 051001.
https://doi.org/10.1088/1478-3975/11/5/051001
[12] Heimburg, T. (2014) Mechanical Aspects of Membrane Thermodynamics. Estimation of the Mechanical Properties of Lipid Membranes Close to the Chain Melting Transition from Calorimetry. Biochimica et Biophysica Acta (BBA)-Biomembranes, 1415, 147-162.
https://doi.org/10.1016/S0005-2736(98)00189-8
[13] Tasaki, I., Kusano, K. and Byrne, M. (1989) Rapid Mechanical and Thermal Changes in the Garfish Olfactory Nerve Associated with a Propagated Impulse. Biophysical Journal, 55, 1033-1040.
https://doi.org/10.1016/S0006-3495(89)82902-9
[14] Tasaki, I. and Byrne, M. (1990) Volume Expansion of Nonmyelinated Nerve Fibers during Impulse Conduction. Biophysical Journal, 57, 633-635.
https://doi.org/10.1016/S0006-3495(90)82580-7
[15] Blunck, R. and Batulan, Z. (2012) Mechanism of Electromechanical Coupling in Voltage-Gated Potassium Channels. Frontiers in Pharmacology, 3, 166.
https://doi.org/10.3389/fphar.2012.00166
[16] Covarrubias, M., Barber, A.F., Carnevale, V., Treptow, W. and Eckenhof, R.G. (2015) Mechanistic Insights into the Modulation of Voltage-Gated Ion Channels by Inhalational Anesthetics. Biophysical Journal, 109, 2003-2011.
https://doi.org/10.1016/j.bpj.2015.09.032
[17] Heimburg, T. (2004) Mechanistic Insights into the Modulation of Voltage-Gated Ion Channels by Inhalational Anesthetics. Biochimica et Biophysica Acta-Biomembranes, 1662, 113.
[18] Wallace, D.C. (1965) Thermal Expansion and Other Anharmonic Properties of Crystals. Physical Review, 139, A877.
https://doi.org/10.1103/PhysRev.139.A877
[19] Petrov, A.G. (1965) Flexoelectricity of Model and Living Membranes. Biochimica et Biophysica Acta (BBA)-Biomembranes, 1561, 1-25.
https://doi.org/10.1016/S0304-4157(01)00007-7
[20] Gross, D., Williams, W.S. and Connor, J.A. (1983) Theory of Electromechanical Effects in Nerve. Cellular and Molecular Neurobiology, 3, 89-111.
https://doi.org/10.1007/BF00735275
[21] Heimburg, T., Blicher, A., Mosgaard, L.D. and Zecchi, K. (2004) Electromechanical Properties of Biomembranes and Nerves. Journal of Physics: Conference Series, 558, Article ID: 012018.
https://doi.org/10.1088/1742-6596/558/1/012018
[22] Plaksin, M., Shoham, S. and Kimmel, E. (2014) Intramembrane Cavitation as a Predictive Bio-Piezoelectric Mechanism for Ultrasonic Brain Stimulation. Physical Review X, 4, Article ID: 011004.
https://doi.org/10.1103/PhysRevX.4.011004
[23] Gardner, C.S., Greene, J.M., Kruskal, M.D. and Miura, R.M. (1967) Method for Solving the Korteweg-de Vries Equation. Physical Review Letters, 19, 1095-1097.
https://doi.org/10.1103/PhysRevLett.19.1095
[24] Lax, P.D. (1968) Integrals of Nonlinear Equations of Evolution and Solitary Waves. Communications on Pure and Applied Mathematics, 31, 467-490.
https://doi.org/10.1002/cpa.3160210503
[25] Gelfand, I.M. and Levitan, B.M. (1951) On the Determination of a Differential Equation from Its Spectral Function. Izv. Akad. Nauk SSSR Ser. Mat., 15, 309-360.
[26] Marchenko, V.A. (1955) Reconstruction of the Potential Energy from the Phases of the Scattered Waves. Doklady Akademii Nauk SSSR, 104, 695-698.
[27] Abramowitz, M. and Stegun, I.A. (1972) Handbook of Mathematical Functions with Formula, Graphs and Mathematical Tables. National Bureau of Standards, Dover, USA.