Published November 30, 2009 | Version v1
Journal article

On vortices heating biological excitable media

  • 1. International Center for Relativistic Astrophysics - I.C.R.A., University of Rome 'La Sapienza', I-00185 Rome (Italy)
  • 2. Istituto per le Applicazioni del Calcolo 'M. Picone', CNR, I-00161 Rome (Italy)
  • 3. Nonlinear Physics and Mathematical Modeling Lab, Engineering Faculty, University Campus Bio-Medico, I-00128 Rome (Italy)

Description

An extension of the Hodgkin-Huxley mathematical model for the propagation of nerve signal which takes into account dynamical heat transfer in biological tissue is derived and fine tuned with existing experimental data. The medium is heated by Joule's effect associated with action potential propagation, leading to characteristic thermal patterns in association with spiral and scroll waves. The introduction of heat transfer-necessary on physical grounds-provides a novel way to directly observe the movement, regular or chaotic, of the tip of spiral waves in numerical simulations and possibly in experiments regarding different biological excitable media.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2009.03.164

Additional details

Identifiers

DOI
10.1016/j.chaos.2009.03.164;
PII
S0960-0779(09)00313-0;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
42
Journal Issue
4
Journal Page Range
p. 2057-2066
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41020628
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CHAOS THEORY; HEAT TRANSFER; HEATING; MATHEMATICAL MODELS; SIMULATION
Descriptors DEC
ENERGY TRANSFER; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.