Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition-Reference-Cited by-同舟云学术

Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition

Published:2012 Issue: Volume:2012 Page:1-6
ISSN:1748-670X
Container-title:Computational and Mathematical Methods in Medicine
language:en
Short-container-title:Computational and Mathematical Methods in Medicine

Author:

Cattani Carlo¹,Ciancio Armando²

Affiliation:

1. Department of Mathematics, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy

2. Department of Mathematics, University of Messina, Viale Ferdinando Stagno d'Alcontres 31, 98166 Messina, Italy

Abstract

A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

Link

http://downloads.hindawi.com/journals/cmmm/2012/610124.pdf

Reference19 articles.

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3. On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis

4. MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION

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