Work

A class of solutions for a neural model influenced by magnetic field and diffusion term

Year: 2025

Type: article

Abstract: The scientific interest raised by synapse phenomenons leads to increasing investigations on analytical aspects of the problem. In this paper, a mathematical system of PDEs, that describes biological aspects of synapses affected by electromagnetic fields, is considered. To highlight contributions of magnetic field, a class of travelling-wave solutions is determined and specific solutions are obtained. This allows us to explicitly show how the parameters characterizing magnetic effects vary according to both the diffusion term and the coefficients related to Fitzugh-Rinzel type models.

Source: Ricerche di Matematica

DOI: 10.1007/s11587-025-00957-x

Author: Monica De Angelis

Institution: University of Naples Federico II

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Università degli Studi di Napoli Federico II, Istituto Nazionale di Alta Matematica "Francesco Severi"