On physical processes controlling nerve signalling

The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of knowledge but no definite, really satisfying solution. Such an unfavourable state is due to the extraordinary complexity of this phenomenon and eno...

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Published inThe European physical journal. ST, Special topics Vol. 232; no. 20-22; pp. 3561 - 3576
Main Authors Mareš, Jiří J., Špička, Václav, Hubík, Pavel
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2023
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Abstract The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of knowledge but no definite, really satisfying solution. Such an unfavourable state is due to the extraordinary complexity of this phenomenon and enormous technical difficulties encountered by experiments. Therefore, the problem till now persists as a challenging subject of research, being opened to various approaches. In the present contribution we are thus trying to summarize the accessible experimental findings and compare them critically with existing alternative theories. Finally, we attempt to compile a minimal model of the signal transmission in nerves, intentionally based only on well turned-out physically transparent arguments. The model combines two types of diffusion processes, microscopic and macroscopic ones, which act simultaneously and ensure nerve signalling. The full-time evolution of the corresponding action potential, from its emergence, increase, decrease and recovery phase, is controlled by the two types of membrane channels: by dissipative protein-based channels of Hodgkin–Huxley type and randomly created non-dissipative fissures in membranes. This approach could be useful for the efforts aiming to the improvement of the current models.
AbstractList The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of knowledge but no definite, really satisfying solution. Such an unfavourable state is due to the extraordinary complexity of this phenomenon and enormous technical difficulties encountered by experiments. Therefore, the problem till now persists as a challenging subject of research, being opened to various approaches. In the present contribution we are thus trying to summarize the accessible experimental findings and compare them critically with existing alternative theories. Finally, we attempt to compile a minimal model of the signal transmission in nerves, intentionally based only on well turned-out physically transparent arguments. The model combines two types of diffusion processes, microscopic and macroscopic ones, which act simultaneously and ensure nerve signalling. The full-time evolution of the corresponding action potential, from its emergence, increase, decrease and recovery phase, is controlled by the two types of membrane channels: by dissipative protein-based channels of Hodgkin–Huxley type and randomly created non-dissipative fissures in membranes. This approach could be useful for the efforts aiming to the improvement of the current models.
The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of knowledge but no definite, really satisfying solution. Such an unfavourable state is due to the extraordinary complexity of this phenomenon and enormous technical difficulties encountered by experiments. Therefore, the problem till now persists as a challenging subject of research, being opened to various approaches. In the present contribution we are thus trying to summarize the accessible experimental findings and compare them critically with existing alternative theories. Finally, we attempt to compile a minimal model of the signal transmission in nerves, intentionally based only on well turned-out physically transparent arguments. The model combines two types of diffusion processes, microscopic and macroscopic ones, which act simultaneously and ensure nerve signalling. The full-time evolution of the corresponding action potential, from its emergence, increase, decrease and recovery phase, is controlled by the two types of membrane channels: by dissipative protein-based channels of Hodgkin–Huxley type and randomly created non-dissipative fissures in membranes. This approach could be useful for the efforts aiming to the improvement of the current models.
Author Mareš, Jiří J.
Hubík, Pavel
Špička, Václav
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Cites_doi 10.1103/PhysRevE.87.032715
10.1088/1742-6596/558/1/012018
10.1085/jgp.22.5.649
10.1051/jphystap:019100090045700
10.1126/science.1179047
10.1002/andp.18551700105
10.1113/jphysiol.1939.sp003702
10.1143/JJAP.3.117
10.1038/ncomms7697
10.1016/S0021-9258(18)93797-X
10.1515/9783112343265
10.1113/jphysiol.1945.sp004114
10.1038/144710a0
10.1113/jphysiol.1949.sp004310
10.1038/81426
10.1007/BF02320727
10.1007/978-1-4614-8866-8
10.1007/s10867-020-09557-2
10.1098/rspb.1979.0069
10.1038/135721a0
10.1016/0006-3002(57)90343-8
10.1142/S179304800700043X
10.1002/cphy.cp010103
10.5479/sil.324681.39088000932442
10.1073/pnas.0503823102
10.1038/213267a0
10.1113/jphysiol.1976.sp011620
10.1098/rstb.1952.0012
10.1039/C9SM01290G
10.1088/0031-9155/41/11/001
10.1007/BF01790181
10.1113/jphysiol.1955.sp005291
10.1103/PhysRevE.101.022406
10.1007/BF01755237
10.1113/jphysiol.1952.sp004764
10.1126/science.7423196
10.2307/25066662
10.1038/221844a0
10.3390/philosophies3020011
10.1098/rspl.1854.0093
10.1039/C6SM01153E
10.1016/S0304-4157(01)00007-7
10.1055/s-0029-1206824
10.1113/jphysiol.1940.sp003823
10.1126/science.850785
10.7705/biomedica.v26i4.315
10.1119/1.1969147
10.1515/zpch-1904-4705
10.1016/j.padiff.2021.100140
10.1016/j.pneurobio.2009.03.002
10.1113/jphysiol.1914.sp001637
10.1016/j.bpj.2013.02.011
10.1140/epjs/s11734-021-00102-3
10.1113/jphysiol.1937.sp003507
10.1063/1.1763574
10.1007/BF01664248
10.1098/rsnr.1976.0015
10.1007/BF01338361
10.3389/fbioe.2016.00055
10.1113/jphysiol.1952.sp004776
10.1016/j.physe.2005.05.012
10.5194/ars-8-75-2010
10.1140/epjst/e2018-800108-6
10.1515/zpch-1889-0412
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References PurvesDNeuroscience20012New YorkSinauer Associates Inc
FukadaEYasudaIPiezoelectric effects in collagenJapan. J. Appl. Phys.196431171211964JaJAP...3..117F1:CAS:528:DyaF2cXks1Ojsw%3D%3D
JahnIDie Anfänge der instrumentellen Elektrobiologie in den Briefen Humboldts an Emil du Bois-RaymondMedizin historisches Journal19672135156
ColeKSCurtisHJElectric impedance of the squid giant axon during aktivityJ. Gen. Physiol.1939226496701:CAS:528:DyaA1MXmtFartw%3D%3D198731252142006
VávraRMělkaJNárys moderní elektrofysiologie1949PragueMelantrich Ltd.
MarešJJHubíkPŠpičkaVDiffusive propagation of nervous signals and their quantum controlEur. Phys. J. Spec. Top.201922723292347
BernsteinJUntersuchungen zur Thermodynamik der bioelektrischen StrömePflügers Arch. Ges. Physiol.1902925215621:CAS:528:DyaD28XntVQ%3D
HillBCSchubertEDNokesMAMichelsonRPLaser Interferometer Measurement of Changes in Crayfish Axon Diameter Concurrent with Action PotentialScience19771964264281977Sci...196..426H1:STN:280:DyaE2s7ltVOkuw%3D%3D850785
HeimburgTJacksonADOn the action potential as a propagating density pulse and the role of anestheticsBiophys. Rev. Lett.2007257781:CAS:528:DC%2BD2sXjtlyht7c%3D
FrankenhaeuserBSaltatory conduction in myelinated nerve fibresJ. Physiol.19521181071121:STN:280:DyaG3s%2FisFWiuw%3D%3D130006941392427
A. Galvani, De viribus electricitatis in motu masculari commentarius. (Bononiae, 1791); Russian translation in: Izbrannye raboty o zhivotnom elektritschestve, ed. by E. E. Goldenberg, A. V. Lebedinskii (OGIZ, Leningrad, 1937)
HermannLZur Theorie der Erregungsleitung und der elektrischen ErregungPflügers Arch. Ges Physiol.189975574590
HodgkinALHuxleyAFA quantitative description of membrane current and its application to conduction and excitation in nerveJ. Physiol.19521175005441:STN:280:DyaG3s%2FhsFGjug%3D%3D129912371392413
AdrianEDThe all-or-none principle in nerveJ. Physiol.1914474604741:STN:280:DC%2BD2s%2Fnt1Srug%3D%3D169932221420489
T. Heimburg, A. Blicher, L. D. Mosgaard, K. Zecchi: Electromechanical properties of biomembranes and nerves. Journal of Physics, Conf. Ser. 558 (2014) 012018
BressloffPCWaves in Neural Media2014BerlinSpringer
F.F. Runge, R.E. Liesegang, B.P. Belousov, A.M. Zhabotinsky, in Selbsorganisation Chemischer Strukturen, ed. L. Kuhnert, U. Niedersen (Ostwald’s Klassiker, Verlag H. Deutsch, Frankfurt am Main, 1987)
KondoSMiuraTReaction–diffusion model as a framework for understanding biological pattern formationScience2010329161616202010Sci...329.1616K27324671:CAS:528:DC%2BC3cXhtFOqsrvI20929839
IwasaKTasakiIGibbonsRCSwelling of nerve fibres associated with action potentialsScience19802103383391980Sci...210..338I1:STN:280:DyaL3M%2FjtlOnsQ%3D%3D7423196
PetrovAGFlexoelectricity of model and living membranesBiochem. Biophys. Acta.20011561125
HodgkinALKeynesRDThe potassium permeability of giant nerve fibreJ. Physiol.195512861881:STN:280:DyaG2M%2FntValsg%3D%3D143685751365755
GolgiCSur l’anatomie microscopique des organes centraux du systéme nerveuxArch. Ital. Biol.188671547
MaxwellSSIs the conduction of the nerve impulse a chemical or a physical process?J. Biol. Chem.19073359385
GabrielCGabrielSCorthoutEThe dielectric properties of biological tissuesPhys. Med. Biol.199641223122491:STN:280:DyaK2s%2Fpt1emuw%3D%3D8938024
FallerRUCD Biophysics 241: Membrane Biology2015DavisUniversity of California
HodgkinALHuxleyAFAction Potentials Recorded from Inside a Nerve FibreNature19391447107111939Natur.144..710H
HodgkinALEvidence for electrical transmission in nerveJ. Physiol.1937901832101:STN:280:DC%2BD2s%2FntlOmsg%3D%3D169948851395060
VasudevanDMSreekumariSVaidyanathanKTextbook of Biochemistry for Medical Students20199New DelhiJaypee Brothers Medical Publishers Ltd.
ManukureSBookerTA short overview of solitons and applicationsPartial Differential Equations in Applied Mathematics20214
KatzBSchmittOHElectric interaction between two adjacent nerve fibresJ. Physiol. (London)1940974714881:STN:280:DC%2BD2s%2FnsVSnsQ%3D%3D16995178
NernstWDie elektromotorische Wirksamkeit der IonenZ. Physikalische Chemie18894129181
TuringAThe chemical basis of morphogenesisPhil. Trans. R. Soc. Lond. B195223737721952RSPTB.237...37T3363444
L.P. Liu, P. Sharma, Flexoelectricity and thermal fluctuations of lipid bilayer membranes. Phys. Rev. E 87, 032715 (2013)
Torres-FernándezOThe Golgi silver impregnation methodBiomedica20062649850817315476
J.G. Needham, General Biology-A book of Outlines and Practical Studies for General Student. (Legare Street Press, 2022)
HodgkinALThe relation between conduction velocity and the electrical resistance outside a nerve fibreJ. Physiol.1939945605701:STN:280:DC%2BD2s%2Fntl2gsw%3D%3D169950661393884
Lévi-LeblondJ-MBalibarFQuantics, rudiments of quantum physics1990AmsterdamNorth-Holland
MiloRPhillipsRCell Biology by the Numbers2016New YorkGarland Science
de la PeñaLCettoAMThe Quantum Dice – An Introduction to Stochastic Electrodynamics1996Academic Publishers, DordrechtKluwer
PeyrardMHow is information transmitted in a nerve?J. Biol. Phys.202046327341330379767719126
ParsegianAEnergy of an Ion crossing a Low Dielectric MembraneNature19692218448461969Natur.221..844P1:CAS:528:DyaF1MXosVakug%3D%3D5765058
HeimburgTJacksonADOn soliton propagation in bio-membranes and nervesProc. Natl. Acad. Sci. U.S.A.2005102979097952005PNAS..102.9790H1:CAS:528:DC%2BD2MXmsFartbg%3D159942351175000
O. Heaviside: Electromagnetic Theory, Vol.II. (The Electrician Co. Ltd., London, 1899; Reprint: Cambridge University Press, New York, 2011)
HillBCSchubertEDNokesMAMichelsonRPLaser interferometer measurements of changes in crayfish axon diameter concurrent with action potentialScience19771964264281977Sci...196..426H1:STN:280:DyaE2s7ltVOkuw%3D%3D850785
HodgkinALKatzBThe effect of sodium ions on the electrical activity of the giant axon of the squidJ. Physiol.194910837771:STN:280:DyaH1M%2FivFOnsQ%3D%3D181281471392331
KandellERSchwartzJHJessellTMSiegelbaumSAHudspethAJPrinciples of Neural Science20135New YorkMcGraw-Hill
FengTPThe heat production of nerveErgeb. Physiol. Biol. Chem. Exp. Pharmakol.19363873132
L. R. Squire, D. Berg, F. E. Bloom, S. du Lac, A. Ghosh, N. C. Spitzer: Fundamental Neuroscience, 4th ed. (Elsevier, Acad. Press, Amsterdam, 2012)
MarešJJStávekJŠestákJQuantum aspects of self-organized periodic chemical reactionsJ. Chem. Phys.2004121149915032004JChPh.121.1499M15260695
HowarthJWRitchieJMStaggDThe initial heat production in garfish olfactory nerve fibresProc. R. Soc. Lond. B19792053473671979RSPSB.205..347H1:CAS:528:DyaE1MXlslagsb4%3D41251
du Bois-RaymondEGesammelte Abhandlungen zur Allgemeinen Muskel- und Nervenphysik1877LeipzigVeit & Co
Waldeyer-HartzWÜber einige neuere Forschungen im Gebiete der Anatomie des Centralnerven SystemsDeutsche med. Wochenschrift18911712131218
HodgkinALHuxleyAFResting and action potentials in single nerve fibresJ. Physiol.19451041761951:STN:280:DC%2BD2s%2FntVKnsA%3D%3D169916771393558
C.S. Sherrington, The central nervous system. In: A Textbook of Physiology, 7th Ed. - M. Foster, Part III. (Mac Millan, London, 1897)
T. Heimburg: The important consequences of reversible heat production in nerves and the adiabaticity of the action potential. (arXiv:2002.06031v2 [physics.bio-ph] 7 Aug 2020)
RosserWGVWhat makes an electric current flow?Am. J. Phys.1963318848851963AmJPh..31..884R
A. Koch Torres Assis, J. A. Hernandes: Elektrischer Strom und Oberflächenladungen. (C. Roy Keys Inc., 2013, Montreal)
FürthRÜber einige Beziehungen zwischen klassischer Statistik und QuantenmechanikZ. f. Phys.1933811431621933ZPhy...81..143F
ShamosMLavineLPiezoelectricity as a Fundamental Property of Biological TissuesNature19672132672691967Natur.213..267S1:STN:280:DyaF2s3gt1GitA%3D%3D6030604
Mert-TerziMDesernoMNagleJFMechanical properties of lipid bilayers: a note on the Poisson ratioSoft Matter201915908590922019SMat...15.9085T
TasakiITakeushiTWeitere Studien über den AktionsstromPflüg. Arch. ges. Physiol.1942254764782
W. Rall: Core conductor theory and cable properties of neurons. In: The Nervous System, Cellular Biology of Neurons, Ed. E. R. Kandell (Am Physiol. Soc., Betheseda, 1977)
BarberiesSDCajal’s law of dynamic polarization: mechanism and designPhilosophies201831126
AppaliRPetersenSvan RienenUA comparison of Hodgkin-Huxley and soliton neural theoriesAdv. Radio Sci.2010875792010AdRS....8...75A
MarešJJŠestákJStávekJŠevčíkováHKrištofikJHubíkPDo periodic chemical reactions reveal Fürth’s quantum diffusion limit?Physica E2005291451492005PhyE...29..145M
SkouJCThe influence of some cations on an adenosine triphosphatase from peripheral nervesBiochem. Biophys. Acta.1957233944011:CAS:528:DyaG2sXjs1aitQ%3D%3D13412736
El HadyAMachtaBBMechanical surface waves accompany action potential propagationNat. Commun.2015666972015NatCo...6.6697E25819404
BrunnerEReaktiongeschwindigkeit in heterogenen SystemenZ. Phys. Chem.19044756
HäusserMThe Hodgkin – Huxley theory of the action potentialNat. Neurosci. Suppl.200031165
de LichterveldeACLSouzaJPBazantMZHeat of nervous conduction: a thermodynamic frameworkPhys. Rev. E20201012020PhRvE.101b2406D32168602
HilleBIonic channels of excitable membranes1992CambridgeCambridge University Press
J.J. Mareš, V. Špička, P. Hubík, Possible role of extracellular tissue in biological neural networks. Eur. Phys. J. Spec. Top. 230(2021), 1089–1098 (1906)
EinsteinAInvestigations on the theory of the Brownian movement1956New YorkDover Publications Inc
W. Thomson: On the theory of electric telegraph. Proc. R. Soc. Lond. 7 (1854–1855) 382–399
S. Ramón y Cajal, The structure and connections of neurons. (Nobel lecture, Dec. 12, 1906)
DebyePHückelEZur Theorie der Elektrolyte IPhys. Z.1923241852061:CAS:528:DyaB3sXhs12jsw%3D%3D
BianXKimCKarniadakisGE111 years of Brownian motionSoft Matter201612633163462016SMat...12.6331B1:CAS:528:DC%2BC28XhtV2nurzO273967465476231
A. Pietak, M. Levin: Exploring Instructive Physiological Signaling with the Bioelectric Tissue Simulation Engine. Front. Bioeng. Biotechnol. 4 (2016) 55(26)
HillAVHeat Production of Muscle and NerveNature19351357217241935Natur.135..721H
HobbieRKRothBJInte
ED Adrian (1045_CR17) 1914; 47
PC Bressloff (1045_CR77) 2014
M Peyrard (1045_CR57) 2020; 46
S Kondo (1045_CR53) 2010; 329
AL Hodgkin (1045_CR64) 1955; 128
S Manukure (1045_CR76) 2021; 4
E Brunner (1045_CR50) 1904; 47
A El Hady (1045_CR79) 2015; 6
E du Bois-Raymond (1045_CR2) 1877
AL Hodgkin (1045_CR58) 1937; 90
R Fürth (1045_CR47) 1933; 81
1045_CR21
AL Hodgkin (1045_CR59) 1939; 144
AL Hodgkin (1045_CR19) 1949; 108
1045_CR22
1045_CR66
TP Feng (1045_CR69) 1936; 38
1045_CR67
1045_CR68
J Bernstein (1045_CR5) 1902; 92
B Katz (1045_CR44) 1940; 97
R Appali (1045_CR56) 2010; 8
AL Hodgkin (1045_CR63) 1952; 117
(1045_CR42) 2001
JJ Mareš (1045_CR48) 2005; 29
SD Barberies (1045_CR11) 2018; 3
M Gouy (1045_CR36) 1910; 9
AL Hodgkin (1045_CR61) 1939; 94
L de la Peña (1045_CR49) 1996
AL Hodgkin (1045_CR60) 1976; 263
K Iwasa (1045_CR72) 1980; 210
(1045_CR16) 2013
M Häusser (1045_CR65) 2000; 3
JJ Mareš (1045_CR39) 2019; 227
B Frankenhaeuser (1045_CR43) 1952; 118
BC Hill (1045_CR84) 1977; 196
A Einstein (1045_CR55) 1956
ACL de Lichtervelde (1045_CR73) 2020; 101
1045_CR54
1045_CR14
1045_CR15
A Fick (1045_CR87) 1855; 94
W Waldeyer-Hartz (1045_CR10) 1891; 17
B Hille (1045_CR26) 1992
TA Ghanem (1045_CR25) 2008; 214
A Parsegian (1045_CR86) 1969; 221
J-M Lévi-Leblond (1045_CR46) 1990
P Debye (1045_CR28) 1923; 24
C Golgi (1045_CR8) 1886; 7
AG Petrov (1045_CR80) 2001; 1561
1045_CR83
1045_CR40
M Mert-Terzi (1045_CR85) 2019; 15
G Gramse (1045_CR35) 2013; 104
AV Hill (1045_CR70) 1935; 135
1045_CR45
I Jahn (1045_CR3) 1967; 2
WGV Rosser (1045_CR37) 1963; 31
1045_CR4
RK Hobbie (1045_CR24) 2007
1045_CR1
JJ Mareš (1045_CR52) 2004; 121
C Gabriel (1045_CR30) 1996; 41
X Bian (1045_CR88) 2016; 12
1045_CR9
JW Howarth (1045_CR71) 1979; 205
DM Vasudevan (1045_CR12) 2019
I Tasaki (1045_CR20) 1942; 254
W Nernst (1045_CR27) 1889; 4
R Faller (1045_CR32) 2015
R Vávra (1045_CR82) 1949
KS Cole (1045_CR62) 1939; 22
JC Skou (1045_CR81) 1957; 23
O Torres-Fernández (1045_CR7) 2006; 26
T Heimburg (1045_CR23) 2005; 102
AL Hodgkin (1045_CR18) 1945; 104
M Shamos (1045_CR31) 1967; 213
1045_CR33
1045_CR34
S Andersen (1045_CR74) 2009; 88
E Fukada (1045_CR29) 1964; 3
SS Maxwell (1045_CR13) 1907; 3
R Milo (1045_CR41) 2016
BC Hill (1045_CR78) 1977; 196
1045_CR38
A Turing (1045_CR51) 1952; 237
L Hermann (1045_CR6) 1899; 75
T Heimburg (1045_CR75) 2007; 2
References_xml – reference: KondoSMiuraTReaction–diffusion model as a framework for understanding biological pattern formationScience2010329161616202010Sci...329.1616K27324671:CAS:528:DC%2BC3cXhtFOqsrvI20929839
– reference: DebyePHückelEZur Theorie der Elektrolyte IPhys. Z.1923241852061:CAS:528:DyaB3sXhs12jsw%3D%3D
– reference: PurvesDNeuroscience20012New YorkSinauer Associates Inc
– reference: J.C. Eccles, From electrical to chemical transmission in central nervous system. Notes and Records of the Roy. Soc. London30, 219–230 (1976)
– reference: L. R. Squire, D. Berg, F. E. Bloom, S. du Lac, A. Ghosh, N. C. Spitzer: Fundamental Neuroscience, 4th ed. (Elsevier, Acad. Press, Amsterdam, 2012)
– reference: HeimburgTJacksonADOn soliton propagation in bio-membranes and nervesProc. Natl. Acad. Sci. U.S.A.2005102979097952005PNAS..102.9790H1:CAS:528:DC%2BD2MXmsFartbg%3D159942351175000
– reference: FallerRUCD Biophysics 241: Membrane Biology2015DavisUniversity of California
– reference: ShamosMLavineLPiezoelectricity as a Fundamental Property of Biological TissuesNature19672132672691967Natur.213..267S1:STN:280:DyaF2s3gt1GitA%3D%3D6030604
– reference: HodgkinALThe relation between conduction velocity and the electrical resistance outside a nerve fibreJ. Physiol.1939945605701:STN:280:DC%2BD2s%2Fntl2gsw%3D%3D169950661393884
– reference: W. Thomson: On the theory of electric telegraph. Proc. R. Soc. Lond. 7 (1854–1855) 382–399
– reference: FickAUeber DiffussionAnn. der Phys.18559459861855AnP...170...59F
– reference: Waldeyer-HartzWÜber einige neuere Forschungen im Gebiete der Anatomie des Centralnerven SystemsDeutsche med. Wochenschrift18911712131218
– reference: TuringAThe chemical basis of morphogenesisPhil. Trans. R. Soc. Lond. B195223737721952RSPTB.237...37T3363444
– reference: HowarthJWRitchieJMStaggDThe initial heat production in garfish olfactory nerve fibresProc. R. Soc. Lond. B19792053473671979RSPSB.205..347H1:CAS:528:DyaE1MXlslagsb4%3D41251
– reference: Torres-FernándezOThe Golgi silver impregnation methodBiomedica20062649850817315476
– reference: F.F. Runge, R.E. Liesegang, B.P. Belousov, A.M. Zhabotinsky, in Selbsorganisation Chemischer Strukturen, ed. L. Kuhnert, U. Niedersen (Ostwald’s Klassiker, Verlag H. Deutsch, Frankfurt am Main, 1987)
– reference: HodgkinALHuxleyAFAction Potentials Recorded from Inside a Nerve FibreNature19391447107111939Natur.144..710H
– reference: du Bois-RaymondEGesammelte Abhandlungen zur Allgemeinen Muskel- und Nervenphysik1877LeipzigVeit & Co
– reference: A. Galvani, De viribus electricitatis in motu masculari commentarius. (Bononiae, 1791); Russian translation in: Izbrannye raboty o zhivotnom elektritschestve, ed. by E. E. Goldenberg, A. V. Lebedinskii (OGIZ, Leningrad, 1937)
– reference: EinsteinAInvestigations on the theory of the Brownian movement1956New YorkDover Publications Inc
– reference: AppaliRPetersenSvan RienenUA comparison of Hodgkin-Huxley and soliton neural theoriesAdv. Radio Sci.2010875792010AdRS....8...75A
– reference: RosserWGVWhat makes an electric current flow?Am. J. Phys.1963318848851963AmJPh..31..884R
– reference: HillBCSchubertEDNokesMAMichelsonRPLaser Interferometer Measurement of Changes in Crayfish Axon Diameter Concurrent with Action PotentialScience19771964264281977Sci...196..426H1:STN:280:DyaE2s7ltVOkuw%3D%3D850785
– reference: L.P. Liu, P. Sharma, Flexoelectricity and thermal fluctuations of lipid bilayer membranes. Phys. Rev. E 87, 032715 (2013)
– reference: W. Rall: Core conductor theory and cable properties of neurons. In: The Nervous System, Cellular Biology of Neurons, Ed. E. R. Kandell (Am Physiol. Soc., Betheseda, 1977)
– reference: J.J. Mareš, V. Špička, P. Hubík, Possible role of extracellular tissue in biological neural networks. Eur. Phys. J. Spec. Top. 230(2021), 1089–1098 (1906)
– reference: HillBCSchubertEDNokesMAMichelsonRPLaser interferometer measurements of changes in crayfish axon diameter concurrent with action potentialScience19771964264281977Sci...196..426H1:STN:280:DyaE2s7ltVOkuw%3D%3D850785
– reference: MarešJJHubíkPŠpičkaVDiffusive propagation of nervous signals and their quantum controlEur. Phys. J. Spec. Top.201922723292347
– reference: Lévi-LeblondJ-MBalibarFQuantics, rudiments of quantum physics1990AmsterdamNorth-Holland
– reference: GabrielCGabrielSCorthoutEThe dielectric properties of biological tissuesPhys. Med. Biol.199641223122491:STN:280:DyaK2s%2Fpt1emuw%3D%3D8938024
– reference: HäusserMThe Hodgkin – Huxley theory of the action potentialNat. Neurosci. Suppl.200031165
– reference: NernstWDie elektromotorische Wirksamkeit der IonenZ. Physikalische Chemie18894129181
– reference: PetrovAGFlexoelectricity of model and living membranesBiochem. Biophys. Acta.20011561125
– reference: VasudevanDMSreekumariSVaidyanathanKTextbook of Biochemistry for Medical Students20199New DelhiJaypee Brothers Medical Publishers Ltd.
– reference: FengTPThe heat production of nerveErgeb. Physiol. Biol. Chem. Exp. Pharmakol.19363873132
– reference: HodgkinALHuxleyAFA quantitative description of membrane current and its application to conduction and excitation in nerveJ. Physiol.19521175005441:STN:280:DyaG3s%2FhsFGjug%3D%3D129912371392413
– reference: HeimburgTJacksonADOn the action potential as a propagating density pulse and the role of anestheticsBiophys. Rev. Lett.2007257781:CAS:528:DC%2BD2sXjtlyht7c%3D
– reference: ColeKSCurtisHJElectric impedance of the squid giant axon during aktivityJ. Gen. Physiol.1939226496701:CAS:528:DyaA1MXmtFartw%3D%3D198731252142006
– reference: O. Heaviside: Electromagnetic Theory, Vol.II. (The Electrician Co. Ltd., London, 1899; Reprint: Cambridge University Press, New York, 2011)
– reference: A. Koch Torres Assis, J. A. Hernandes: Elektrischer Strom und Oberflächenladungen. (C. Roy Keys Inc., 2013, Montreal)
– reference: KatzBSchmittOHElectric interaction between two adjacent nerve fibresJ. Physiol. (London)1940974714881:STN:280:DC%2BD2s%2FnsVSnsQ%3D%3D16995178
– reference: AndersenSJacksonADHeimburgTTowards a thermodynamic theory of nerve pulse propagationProgr. Neurobiol.200988104113
– reference: TasakiITakeushiTWeitere Studien über den AktionsstromPflüg. Arch. ges. Physiol.1942254764782
– reference: Mert-TerziMDesernoMNagleJFMechanical properties of lipid bilayers: a note on the Poisson ratioSoft Matter201915908590922019SMat...15.9085T
– reference: A. Pietak, M. Levin: Exploring Instructive Physiological Signaling with the Bioelectric Tissue Simulation Engine. Front. Bioeng. Biotechnol. 4 (2016) 55(26)
– reference: FrankenhaeuserBSaltatory conduction in myelinated nerve fibresJ. Physiol.19521181071121:STN:280:DyaG3s%2FisFWiuw%3D%3D130006941392427
– reference: BrunnerEReaktiongeschwindigkeit in heterogenen SystemenZ. Phys. Chem.19044756
– reference: MarešJJŠestákJStávekJŠevčíkováHKrištofikJHubíkPDo periodic chemical reactions reveal Fürth’s quantum diffusion limit?Physica E2005291451492005PhyE...29..145M
– reference: HodgkinALChance and design in electrophysiology: an informal account of certain experiments on nerve carried out between 1934 and 1952J. Physiol.19762631211:STN:280:DyaE2s%2Fps1Cguw%3D%3D7964201307686
– reference: BarberiesSDCajal’s law of dynamic polarization: mechanism and designPhilosophies201831126
– reference: de la PeñaLCettoAMThe Quantum Dice – An Introduction to Stochastic Electrodynamics1996Academic Publishers, DordrechtKluwer
– reference: BianXKimCKarniadakisGE111 years of Brownian motionSoft Matter201612633163462016SMat...12.6331B1:CAS:528:DC%2BC28XhtV2nurzO273967465476231
– reference: GhanemTABrenemanKDRabbittRDBrownHMIonic Composition of Endolymph and Perilymph in the Inner Ear of the Oyster ToadfishBiol. Bull.200821483901:CAS:528:DC%2BD1cXjt1yrtLw%3D182587782716389
– reference: HillAVHeat Production of Muscle and NerveNature19351357217241935Natur.135..721H
– reference: El HadyAMachtaBBMechanical surface waves accompany action potential propagationNat. Commun.2015666972015NatCo...6.6697E25819404
– reference: ManukureSBookerTA short overview of solitons and applicationsPartial Differential Equations in Applied Mathematics20214
– reference: HodgkinALKatzBThe effect of sodium ions on the electrical activity of the giant axon of the squidJ. Physiol.194910837771:STN:280:DyaH1M%2FivFOnsQ%3D%3D181281471392331
– reference: HodgkinALEvidence for electrical transmission in nerveJ. Physiol.1937901832101:STN:280:DC%2BD2s%2FntlOmsg%3D%3D169948851395060
– reference: FukadaEYasudaIPiezoelectric effects in collagenJapan. J. Appl. Phys.196431171211964JaJAP...3..117F1:CAS:528:DyaF2cXks1Ojsw%3D%3D
– reference: GolgiCSur l’anatomie microscopique des organes centraux du systéme nerveuxArch. Ital. Biol.188671547
– reference: GramseGDols-PerezAEdwardsMAFumagalliLGomilaGNanoscale Measurement of the Dielectric Constant of Supported Lipid Bilayers in Aqueous Solutions with Electrostatic Force MicroscopyBiophys. J.2013104125712622013BpJ...104.1257G1:CAS:528:DC%2BC3sXktlOhtrg%3D235280853602784
– reference: HodgkinALKeynesRDThe potassium permeability of giant nerve fibreJ. Physiol.195512861881:STN:280:DyaG2M%2FntValsg%3D%3D143685751365755
– reference: BernsteinJUntersuchungen zur Thermodynamik der bioelektrischen StrömePflügers Arch. Ges. Physiol.1902925215621:CAS:528:DyaD28XntVQ%3D
– reference: HilleBIonic channels of excitable membranes1992CambridgeCambridge University Press
– reference: PeyrardMHow is information transmitted in a nerve?J. Biol. Phys.202046327341330379767719126
– reference: MiloRPhillipsRCell Biology by the Numbers2016New YorkGarland Science
– reference: MarešJJStávekJŠestákJQuantum aspects of self-organized periodic chemical reactionsJ. Chem. Phys.2004121149915032004JChPh.121.1499M15260695
– reference: de LichterveldeACLSouzaJPBazantMZHeat of nervous conduction: a thermodynamic frameworkPhys. Rev. E20201012020PhRvE.101b2406D32168602
– reference: S. Ramón y Cajal, The structure and connections of neurons. (Nobel lecture, Dec. 12, 1906)
– reference: AdrianEDThe all-or-none principle in nerveJ. Physiol.1914474604741:STN:280:DC%2BD2s%2Fnt1Srug%3D%3D169932221420489
– reference: HermannLZur Theorie der Erregungsleitung und der elektrischen ErregungPflügers Arch. Ges Physiol.189975574590
– reference: SkouJCThe influence of some cations on an adenosine triphosphatase from peripheral nervesBiochem. Biophys. Acta.1957233944011:CAS:528:DyaG2sXjs1aitQ%3D%3D13412736
– reference: HobbieRKRothBJIntermediate Physics for Medicine and Biology20074New YorkSpringer
– reference: T. Heimburg, A. Blicher, L. D. Mosgaard, K. Zecchi: Electromechanical properties of biomembranes and nerves. Journal of Physics, Conf. Ser. 558 (2014) 012018
– reference: H. von Helmholtz: Messungen über die Fortpflanzungsgeschwindigkeit der Reizung in dem Nerven. Arch. Anat. Physiol. Wiss. Med. (1852) 199–216
– reference: HodgkinALHuxleyAFResting and action potentials in single nerve fibresJ. Physiol.19451041761951:STN:280:DC%2BD2s%2FntVKnsA%3D%3D169916771393558
– reference: GouyMSur la constitution de la charge électrique à la surface d‘un électrolyteJ. Phys. Theor. Appl.191094574681:CAS:528:DyaC3cXht1eluw%3D%3D
– reference: MaxwellSSIs the conduction of the nerve impulse a chemical or a physical process?J. Biol. Chem.19073359385
– reference: VávraRMělkaJNárys moderní elektrofysiologie1949PragueMelantrich Ltd.
– reference: IwasaKTasakiIGibbonsRCSwelling of nerve fibres associated with action potentialsScience19802103383391980Sci...210..338I1:STN:280:DyaL3M%2FjtlOnsQ%3D%3D7423196
– reference: T. Heimburg: The important consequences of reversible heat production in nerves and the adiabaticity of the action potential. (arXiv:2002.06031v2 [physics.bio-ph] 7 Aug 2020)
– reference: BressloffPCWaves in Neural Media2014BerlinSpringer
– reference: FürthRÜber einige Beziehungen zwischen klassischer Statistik und QuantenmechanikZ. f. Phys.1933811431621933ZPhy...81..143F
– reference: C.S. Sherrington, The central nervous system. In: A Textbook of Physiology, 7th Ed. - M. Foster, Part III. (Mac Millan, London, 1897)
– reference: KandellERSchwartzJHJessellTMSiegelbaumSAHudspethAJPrinciples of Neural Science20135New YorkMcGraw-Hill
– reference: ParsegianAEnergy of an Ion crossing a Low Dielectric MembraneNature19692218448461969Natur.221..844P1:CAS:528:DyaF1MXosVakug%3D%3D5765058
– reference: J.G. Needham, General Biology-A book of Outlines and Practical Studies for General Student. (Legare Street Press, 2022)
– reference: JahnIDie Anfänge der instrumentellen Elektrobiologie in den Briefen Humboldts an Emil du Bois-RaymondMedizin historisches Journal19672135156
– ident: 1045_CR14
– ident: 1045_CR83
  doi: 10.1103/PhysRevE.87.032715
– volume-title: Nárys moderní elektrofysiologie
  year: 1949
  ident: 1045_CR82
– volume: 24
  start-page: 185
  year: 1923
  ident: 1045_CR28
  publication-title: Phys. Z.
– ident: 1045_CR33
  doi: 10.1088/1742-6596/558/1/012018
– volume: 22
  start-page: 649
  year: 1939
  ident: 1045_CR62
  publication-title: J. Gen. Physiol.
  doi: 10.1085/jgp.22.5.649
– volume: 9
  start-page: 457
  year: 1910
  ident: 1045_CR36
  publication-title: J. Phys. Theor. Appl.
  doi: 10.1051/jphystap:019100090045700
– volume: 329
  start-page: 1616
  year: 2010
  ident: 1045_CR53
  publication-title: Science
  doi: 10.1126/science.1179047
– volume: 94
  start-page: 59
  year: 1855
  ident: 1045_CR87
  publication-title: Ann. der Phys.
  doi: 10.1002/andp.18551700105
– volume: 94
  start-page: 560
  year: 1939
  ident: 1045_CR61
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1939.sp003702
– volume: 3
  start-page: 117
  year: 1964
  ident: 1045_CR29
  publication-title: Japan. J. Appl. Phys.
  doi: 10.1143/JJAP.3.117
– volume: 6
  start-page: 6697
  year: 2015
  ident: 1045_CR79
  publication-title: Nat. Commun.
  doi: 10.1038/ncomms7697
– volume: 3
  start-page: 359
  year: 1907
  ident: 1045_CR13
  publication-title: J. Biol. Chem.
  doi: 10.1016/S0021-9258(18)93797-X
– volume-title: Gesammelte Abhandlungen zur Allgemeinen Muskel- und Nervenphysik
  year: 1877
  ident: 1045_CR2
  doi: 10.1515/9783112343265
– volume: 104
  start-page: 176
  year: 1945
  ident: 1045_CR18
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1945.sp004114
– volume: 144
  start-page: 710
  year: 1939
  ident: 1045_CR59
  publication-title: Nature
  doi: 10.1038/144710a0
– volume: 108
  start-page: 37
  year: 1949
  ident: 1045_CR19
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1949.sp004310
– volume: 3
  start-page: 1165
  year: 2000
  ident: 1045_CR65
  publication-title: Nat. Neurosci. Suppl.
  doi: 10.1038/81426
– volume: 38
  start-page: 73
  year: 1936
  ident: 1045_CR69
  publication-title: Ergeb. Physiol. Biol. Chem. Exp. Pharmakol.
  doi: 10.1007/BF02320727
– volume-title: The Quantum Dice – An Introduction to Stochastic Electrodynamics
  year: 1996
  ident: 1045_CR49
– ident: 1045_CR4
– volume-title: Waves in Neural Media
  year: 2014
  ident: 1045_CR77
  doi: 10.1007/978-1-4614-8866-8
– volume: 46
  start-page: 327
  year: 2020
  ident: 1045_CR57
  publication-title: J. Biol. Phys.
  doi: 10.1007/s10867-020-09557-2
– volume: 205
  start-page: 347
  year: 1979
  ident: 1045_CR71
  publication-title: Proc. R. Soc. Lond. B
  doi: 10.1098/rspb.1979.0069
– ident: 1045_CR34
– volume: 135
  start-page: 721
  year: 1935
  ident: 1045_CR70
  publication-title: Nature
  doi: 10.1038/135721a0
– ident: 1045_CR38
– volume: 23
  start-page: 394
  year: 1957
  ident: 1045_CR81
  publication-title: Biochem. Biophys. Acta.
  doi: 10.1016/0006-3002(57)90343-8
– volume: 2
  start-page: 57
  year: 2007
  ident: 1045_CR75
  publication-title: Biophys. Rev. Lett.
  doi: 10.1142/S179304800700043X
– ident: 1045_CR21
  doi: 10.1002/cphy.cp010103
– ident: 1045_CR1
  doi: 10.5479/sil.324681.39088000932442
– volume: 102
  start-page: 9790
  year: 2005
  ident: 1045_CR23
  publication-title: Proc. Natl. Acad. Sci. U.S.A.
  doi: 10.1073/pnas.0503823102
– volume: 213
  start-page: 267
  year: 1967
  ident: 1045_CR31
  publication-title: Nature
  doi: 10.1038/213267a0
– volume: 263
  start-page: 1
  year: 1976
  ident: 1045_CR60
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1976.sp011620
– ident: 1045_CR54
– volume-title: Intermediate Physics for Medicine and Biology
  year: 2007
  ident: 1045_CR24
– volume: 237
  start-page: 37
  year: 1952
  ident: 1045_CR51
  publication-title: Phil. Trans. R. Soc. Lond. B
  doi: 10.1098/rstb.1952.0012
– volume: 15
  start-page: 9085
  year: 2019
  ident: 1045_CR85
  publication-title: Soft Matter
  doi: 10.1039/C9SM01290G
– volume: 41
  start-page: 2231
  year: 1996
  ident: 1045_CR30
  publication-title: Phys. Med. Biol.
  doi: 10.1088/0031-9155/41/11/001
– volume: 92
  start-page: 521
  year: 1902
  ident: 1045_CR5
  publication-title: Pflügers Arch. Ges. Physiol.
  doi: 10.1007/BF01790181
– volume: 128
  start-page: 61
  year: 1955
  ident: 1045_CR64
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1955.sp005291
– volume: 101
  year: 2020
  ident: 1045_CR73
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.101.022406
– ident: 1045_CR9
– volume: 2
  start-page: 135
  year: 1967
  ident: 1045_CR3
  publication-title: Medizin historisches Journal
– volume-title: Investigations on the theory of the Brownian movement
  year: 1956
  ident: 1045_CR55
– volume: 254
  start-page: 764
  year: 1942
  ident: 1045_CR20
  publication-title: Pflüg. Arch. ges. Physiol.
  doi: 10.1007/BF01755237
– volume: 117
  start-page: 500
  year: 1952
  ident: 1045_CR63
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1952.sp004764
– volume: 7
  start-page: 15
  year: 1886
  ident: 1045_CR8
  publication-title: Arch. Ital. Biol.
– volume: 210
  start-page: 338
  year: 1980
  ident: 1045_CR72
  publication-title: Science
  doi: 10.1126/science.7423196
– volume: 214
  start-page: 83
  year: 2008
  ident: 1045_CR25
  publication-title: Biol. Bull.
  doi: 10.2307/25066662
– volume: 221
  start-page: 844
  year: 1969
  ident: 1045_CR86
  publication-title: Nature
  doi: 10.1038/221844a0
– volume: 3
  start-page: 11
  year: 2018
  ident: 1045_CR11
  publication-title: Philosophies
  doi: 10.3390/philosophies3020011
– volume-title: Ionic channels of excitable membranes
  year: 1992
  ident: 1045_CR26
– volume-title: Neuroscience
  year: 2001
  ident: 1045_CR42
– volume-title: Quantics, rudiments of quantum physics
  year: 1990
  ident: 1045_CR46
– ident: 1045_CR66
  doi: 10.1098/rspl.1854.0093
– volume: 12
  start-page: 6331
  year: 2016
  ident: 1045_CR88
  publication-title: Soft Matter
  doi: 10.1039/C6SM01153E
– ident: 1045_CR22
– ident: 1045_CR45
– volume: 1561
  start-page: 1
  year: 2001
  ident: 1045_CR80
  publication-title: Biochem. Biophys. Acta.
  doi: 10.1016/S0304-4157(01)00007-7
– volume: 17
  start-page: 1213
  year: 1891
  ident: 1045_CR10
  publication-title: Deutsche med. Wochenschrift
  doi: 10.1055/s-0029-1206824
– volume: 97
  start-page: 471
  year: 1940
  ident: 1045_CR44
  publication-title: J. Physiol. (London)
  doi: 10.1113/jphysiol.1940.sp003823
– volume: 196
  start-page: 426
  year: 1977
  ident: 1045_CR78
  publication-title: Science
  doi: 10.1126/science.850785
– volume: 26
  start-page: 498
  year: 2006
  ident: 1045_CR7
  publication-title: Biomedica
  doi: 10.7705/biomedica.v26i4.315
– volume: 31
  start-page: 884
  year: 1963
  ident: 1045_CR37
  publication-title: Am. J. Phys.
  doi: 10.1119/1.1969147
– volume: 47
  start-page: 56
  year: 1904
  ident: 1045_CR50
  publication-title: Z. Phys. Chem.
  doi: 10.1515/zpch-1904-4705
– volume-title: Textbook of Biochemistry for Medical Students
  year: 2019
  ident: 1045_CR12
– volume: 4
  year: 2021
  ident: 1045_CR76
  publication-title: Partial Differential Equations in Applied Mathematics
  doi: 10.1016/j.padiff.2021.100140
– ident: 1045_CR67
– volume-title: UCD Biophysics 241: Membrane Biology
  year: 2015
  ident: 1045_CR32
– volume: 88
  start-page: 104
  year: 2009
  ident: 1045_CR74
  publication-title: Progr. Neurobiol.
  doi: 10.1016/j.pneurobio.2009.03.002
– volume-title: Principles of Neural Science
  year: 2013
  ident: 1045_CR16
– volume: 47
  start-page: 460
  year: 1914
  ident: 1045_CR17
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1914.sp001637
– volume: 104
  start-page: 1257
  year: 2013
  ident: 1045_CR35
  publication-title: Biophys. J.
  doi: 10.1016/j.bpj.2013.02.011
– volume: 196
  start-page: 426
  year: 1977
  ident: 1045_CR84
  publication-title: Science
  doi: 10.1126/science.850785
– ident: 1045_CR40
  doi: 10.1140/epjs/s11734-021-00102-3
– volume: 90
  start-page: 183
  year: 1937
  ident: 1045_CR58
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1937.sp003507
– volume: 121
  start-page: 1499
  year: 2004
  ident: 1045_CR52
  publication-title: J. Chem. Phys.
  doi: 10.1063/1.1763574
– volume: 75
  start-page: 574
  year: 1899
  ident: 1045_CR6
  publication-title: Pflügers Arch. Ges Physiol.
  doi: 10.1007/BF01664248
– ident: 1045_CR15
  doi: 10.1098/rsnr.1976.0015
– volume: 81
  start-page: 143
  year: 1933
  ident: 1045_CR47
  publication-title: Z. f. Phys.
  doi: 10.1007/BF01338361
– ident: 1045_CR68
  doi: 10.3389/fbioe.2016.00055
– volume: 118
  start-page: 107
  year: 1952
  ident: 1045_CR43
  publication-title: J. Physiol.
  doi: 10.1113/jphysiol.1952.sp004776
– volume: 29
  start-page: 145
  year: 2005
  ident: 1045_CR48
  publication-title: Physica E
  doi: 10.1016/j.physe.2005.05.012
– volume: 8
  start-page: 75
  year: 2010
  ident: 1045_CR56
  publication-title: Adv. Radio Sci.
  doi: 10.5194/ars-8-75-2010
– volume: 227
  start-page: 2329
  year: 2019
  ident: 1045_CR39
  publication-title: Eur. Phys. J. Spec. Top.
  doi: 10.1140/epjst/e2018-800108-6
– volume-title: Cell Biology by the Numbers
  year: 2016
  ident: 1045_CR41
– volume: 4
  start-page: 129
  year: 1889
  ident: 1045_CR27
  publication-title: Z. Physikalische Chemie
  doi: 10.1515/zpch-1889-0412
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Snippet The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of...
The intensive experimental and theoretical research into the nerve signalling, which lasts for more than 230 years, has provided many valuable pieces of...
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SubjectTerms Atomic
Channels
Classical and Continuum Physics
Condensed Matter Physics
Dissipation
Foundations of Quantum Mechanics
Many Body Systems
Materials Science
Measurement Science and Instrumentation
Membranes
Molecular
Nerves
Non-Equilibrium Quantum Physics
Optical and Plasma Physics
Physics
Physics and Astronomy
Review
Signal transmission
Title On physical processes controlling nerve signalling
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