Physics of the nerve impulse

Markin, V. S.; Pastushenko, V. F.; Chizmadzhev, Yu.A.

doi:10.1070/pu1977v020n10abeh005468

Cited by 10 publications

(13 citation statements)

References 3 publications

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“…From the physical point of view, the excitation of a concave autowave transferring energy in the presence of nested ring regions with a decreasing excitation rate with a decrease in the diameter of the rings can be considered as a sequential synchronization of autowaves in these ring regions. Only studies of the interaction of autowaves for the case of their rectilinear propagation in nerve fibers are known in the works of Katz, Schmitt, V. S. Markin and others [20].…”

Section: Axiomatic Model For the Description Of Electrical Processes mentioning

confidence: 99%

“…This allows a significant number of concave wave applications to be implemented. Let us consider the realizations CSACE when bodies flow around a liquid [19][20][21][22][23][24][25].…”

Section: Concave Autowaves In Hydrodynamicsmentioning

confidence: 99%

“…The mathematical model of tornado formation is presented in [19][20][21][22][23][24][25]. The storm cloud in which a tornado forms is a vapor-air mixture saturated with energy.…”

Section: Concave Autowaves In the Formation Of Atmospheric Tornadoesmentioning

confidence: 99%

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Nonlinear Concave Spiral Waves in Active Media Transferring Energy

Mazurov¹

2019

EPJ Web Conf.

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Spiral concave autowaves are widely implemented in physics, chemistry, hydrodynamics, meteorology and other fields. A mathematical model of spiral concave autowaves based on the Fitzhugh-Nagumo equation and modified axiomatic models are presented. The existence of spiral concave autowaves transferring energy was predicted via computational experiments. Applications of spiral concave autowaves carrying energy in hydrodynamics, generation of tornadoes, breaking waves, and tsunamis and examples of such autowaves in biology and medicine are reviewed and the importance of concave spiral autowaves transferring energy is emphasized.

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Section: Axiomatic Model For the Description Of Electrical Processes mentioning

confidence: 99%

“…This allows a significant number of concave wave applications to be implemented. Let us consider the realizations CSACE when bodies flow around a liquid [19][20][21][22][23][24][25].…”

Section: Concave Autowaves In Hydrodynamicsmentioning

confidence: 99%

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Nonlinear Concave Spiral Waves in Active Media Transferring Energy

Mazurov¹

2019

EPJ Web Conf.

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“…For example, for the contact of a liquid drop (phase 1) with a solid surface (phase 3) in a gaseous medium (phase 2), the expression for the work of formation of the drop (assuming heterogeneous nucleation of water drops on a hydrophobic surface) can be written /1,7,99/ (in our symbols) as (21) where Δσ = σ η -σ 23 -σ |2 , -Δ/Ί = /», -Ρ 2 , and Vf and A$ are the volume and the surface area of the drop (for the idealised model of the drop, above). In this work the line tension κ was determined on the basis of measurements of the work of heterogeneous nucleation of water drops from a supersaturated vapour onto hydrophobic (liquid or solid) substrates.…”

Section: Line Tension Defined As An Excess Of Free Energymentioning

confidence: 99%

Line Tension in Thin Liquid Films and Layer Thermodynamics

Babak¹

1999

Reviews in Chemical Engineering

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The results of theoretical and experimental studies on the line tension in thin liquid films and three-phase systems in the last 30 years have been examined and generalised. The main theories of line tension, the reported measurements of its value and sign, and the results of numerical calculations of the line tension on the basis of various thermodynamic models have been analysed. The results of this analysis are discussed within the framework of the generalised line tension theory 762,637.The main conclusions concerning the line tension value and sign may be summarised as follows. 1) The line tension depends on the parameters characterising the shape of the disjoining pressure isotherm Π(Η) in the liquid films, as well as on contact angles, capillary pressure P c and interaction free energy (the grand thermodynamic potential) ΔΩ(Η Γ ) in the film of thickness H f . 2) The most significant effect on the line tension value and sign is produced by the shape of the Il(H)-isotherm rather than by the absolute value of the interaction free energy ΔΩ(Η Γ ), i.e. by the contact angle 6 f . 3) The n(H)-isotherms with only one coagulation minimum or one coagulation barrier lead to line tensions with negative or positive signs, respectively. It is a general rule that the sign of the line tension coincides with the sign of the interaction free energy ΔΩ(Η Γ ) for these simple shapes of the II(H)-isotherms. 4) As soon as either a coagulation barrier is added to the II(H)-isotherms with a near coagulation minimum, or a coagulation minimum appears besides the coagulation barrier, the sign of the line tension tends to change to the opposite. 157 Brought to you by | Purdue University Libraries Authenticated Download Date | 6/19/15 12:23 AM Vol. IS, No. 3, 1999 Line Tension In Thin Liquid Films And Layer Thermodynamics 5) The values and signs of both, the interaction free energy Π(Η) and the line tension τ, characterise the shape of the Il(H)-isotherm. This justifies the effort now being directed towards the experimental determination of the line tension, since a knowledge of the value and sign of this parameter should provide new information on the shape of the disjoining pressure isotherm.

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“…These heads also show a kind of low-energy static 'ferroelectric' behaviour in the frozen-in situation at low temperatures, while the motion of the muscle filaments during the muscular contraction is very reminiscent of a pulse soliton. There are other phenomena (nerve impulse [15], membrane activity [16], etc.) which might be described this way.…”

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confidence: 99%

Electret Model for the Collective Behaviour of Biological Systems

Bilz

Büttner

Fröhlich

1981

Zeitschrift Für Naturforschung B

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Abstract It is suggested that several basic properties of biological systems, such as muscular motions, active transport of energy, etc., may be described in terms of a dynamical model possessing metastable ferroelectric states. The model is based on the observation that confi-gurationally unstable anions, in particular O2-, can lead to ferroelectric phase transitions. Due to the highly variable electronic polarizability of such ions a fourth-order potential is generated which can be the origin of three types of solitary excitations: elastic 'pulse' solitons, ferroelectric 'kink' (or domain-wall) solitons and periodic (coherent) solitary waves. Their possible relation to biological phenomena is discussed.

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Physics of the nerve impulse

Cited by 10 publications

References 3 publications

Nonlinear Concave Spiral Waves in Active Media Transferring Energy

Nonlinear Concave Spiral Waves in Active Media Transferring Energy

Line Tension in Thin Liquid Films and Layer Thermodynamics

Electret Model for the Collective Behaviour of Biological Systems

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