TY - JOUR T1 - Analog of the Hutchinson equation in biophysical neurodynamics: from the Morris-Lecar model to a delay differential equation JF - bioRxiv DO - 10.1101/2022.01.15.476459 SP - 2022.01.15.476459 AU - A.V. Paraskevov Y1 - 2022/01/01 UR - http://biorxiv.org/content/early/2022/01/18/2022.01.15.476459.abstract N2 - Starting with the classical biophysical Morris-Lecar model of neuronal excitability, we introduce a functional analog of the Hutchinson equation initially obtained for population dynamics with delayed negative feedback. It is shown that the resulting equation with a fixed time delay qualitatively reproduces the dynamics of the original model upon direct current stimulation, preserving both the initial type of neuronal excitability and biophysically realistic spike shape within a wide range of the delay values. If the delay becomes very small (2 ms or less), the simplified delay-based model exhibits a distinct transition from the 1st to the 2nd excitability type.Competing Interest StatementThe authors have declared no competing interest. ER -