Continuous, discrete and ultradiscrete models of an inflammatory response

A.S. Carstea, A. Ramani, J. Satsuma, R. Willox and B. Grammaticos

Physica A: Statistical Mechanics and its Applications, 2006, vol. 364, issue C, 276-286

Abstract: We present a three-component model which could represent the reaction of the organism to pathogen invasion. A continuous-time (differential) model is constructed first. Its discrete analogue is then derived and is used for numerical simulations which show a great variety of behaviours. We also construct a cellular automaton for the model using the ultra-discretisation procedure.

Keywords: Pathophysiology; Immune response; Discrete-time; Cellular automaton (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:364:y:2006:i:c:p:276-286

DOI: 10.1016/j.physa.2005.08.073

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