Hodgkin–Huxley model based on ionic transport in axoplasmic fluid

Article type: Research Article

Authors: Bhatia, Suman^{a; *} | Singh, Phool^b | Sharma, Prabha^b

Affiliations: [a] Department of CSE&IT, The NorthCap University, Sec-23A Gurugram, 122017, India. E-mail: [email protected] | [b] Department of Applied Sciences, The NorthCap University, Sec-23A Gurugram, 122017, India. E-mails: [email protected], [email protected]

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: Hodgkin-Huxley model has been reframed to incorporate the physical parameters of fluid inside the axon. The reframed model comprises of set of partial differential equations containing the physical parameters: density, mass fraction of sodium, potassium and chlorine ions, longitudinal diffusivity of ions and rate of additions of ions along with the temperature. Obtained conduction velocity of 19.5m/sec at a temperature of 18.5 degree celcius and conduction velocity dependency on temperature within the range 5 to 25 degree celcius are two important results that strongly validate the proposed model. The behavior of all the physical parameters has been characterized with respect to the action potential. Action potential conduction velocity along with axoplasmic fluid viscosity has been characterized with respect to different temperatures. Longitudinal diffusivity of ions is also quantified.

Keywords: H–H model, diffusivity of ions, axoplasmic fluid viscosity, conduction velocity

DOI: 10.3233/JIN-170029

Journal: Journal of Integrative Neuroscience, vol. 16, no. 4, pp. 401-417, 2017