On the space and time evolution of regular or irregular human heart or brain signals

TL;DR

This paper proposes a coupled map model to simulate and analyze the space and time evolution of human heart and brain signals under various physiological conditions, aiming to replicate empirical data with simple mathematics.

Contribution

It introduces a new coupled map approach to model biological signals, providing a simpler alternative to artificial networks for mimicking complex physiological data.

Findings

Model successfully replicates empirical heart and brain signals.

Results show good agreement with real physiological data.

Model is mathematically simple and easy to implement.

Abstract

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential differences and so on. The biological systems (groups of cells) start from various initial conditions for spatial designs (or initial signals for temporal designs) and they evolve in time in terms of the mentioned interactions (connections) besides some individual feedings. The basic aim of the present contribution is to mimic various empirical data for the heart (in normal, quasi-stable, unstable and post operative physiological conditions) or brain (regular or irregular; for epilepsy) signals. The mentioned empirical data are borrowed from various literatures which are cited. The suggested model (to be used besides or instead of the artificial network models) involves simple mathematics and the related software is easy. The results may be considered as in good agreement with the mentioned real signals.