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Main Authors: Leventi-Peetz, Anastasia-Maria, Peetz, Jörg-Volker, Weber, Kai, Zacharis, Nikolaos
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.23940
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author Leventi-Peetz, Anastasia-Maria
Peetz, Jörg-Volker
Weber, Kai
Zacharis, Nikolaos
author_facet Leventi-Peetz, Anastasia-Maria
Peetz, Jörg-Volker
Weber, Kai
Zacharis, Nikolaos
contents In this work, a three-dimensional multicomponent reaction-diffusion model has been developed, combining excitable-system dynamics with diffusion processes and sharing conceptual features with the FitzHugh-Nagumo model. Designed to capture the spatiotemporal behavior of biological systems, particularly electrophysiological processes, the model was solved numerically to generate time-series data. These data were subsequently used to train and evaluate an Echo State Network (ESN), which successfully reproduced the system's dynamic behavior. The results demonstrate that simulating biological dynamics using data-driven, multifunctional ESN models is both feasible and effective.
format Preprint
id arxiv_https___arxiv_org_abs_2510_23940
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modeling Biological Multifunctionality with Echo State Networks
Leventi-Peetz, Anastasia-Maria
Peetz, Jörg-Volker
Weber, Kai
Zacharis, Nikolaos
Machine Learning
Artificial Intelligence
In this work, a three-dimensional multicomponent reaction-diffusion model has been developed, combining excitable-system dynamics with diffusion processes and sharing conceptual features with the FitzHugh-Nagumo model. Designed to capture the spatiotemporal behavior of biological systems, particularly electrophysiological processes, the model was solved numerically to generate time-series data. These data were subsequently used to train and evaluate an Echo State Network (ESN), which successfully reproduced the system's dynamic behavior. The results demonstrate that simulating biological dynamics using data-driven, multifunctional ESN models is both feasible and effective.
title Modeling Biological Multifunctionality with Echo State Networks
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2510.23940