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V.A. YAVORSKY (2020) 'INTERSPIKE MODEL OF IMPULSE ACTIVITY OF ISOLATED NEURON' in O.A. Krishtal, E.A. Lukyanetz (Eds.), ESSAYS ON NEUROPHYSIOLOGY BY PLATON KOSTYUK AND HIS STUDENTS, AKADEMPERIODYKA, pp. 233-236


INTERSPIKE MODEL OF IMPULSE ACTIVITY OF ISOLATED NEURON

V.A. YAVORSKY

    Bogomoletz Institute of physiology NAS of Ukraine, Kyiv, Ukraine
DOI: https://doi.org/10.15407/biph.books.EssNeur.233


Abstract

A mathematical model of stationary activity in single neurons is developed to describe interspike intervals (ISI) and the influence of calcium-dependent accommodation on action potential generation. Unlike conductance-based Hodgkin-Huxley-type models, this approach focuses on the neuron’s firing responses rather than reproducing individual ionic currents. The model introduces a balance equation for intracellular calcium dynamics, incorporating calcium influx during action potential generation and its subsequent removal via transport mechanisms. The relationship between inward current and ISI is examined under different stimulation protocols, revealing a rational dependence in ramp protocols and an exponential saturation function in step protocols. This framework provides a simplified yet effective method for analyzing neuronal excitability and adaptation to calcium-dependent regulation.

Keywords: neuronal excitability, interspike intervals, calcium dynamics, action potential, mathematical modeling, accommodation, inward current, neuronal adaptation, firing responses, single neuron activity

References


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