Publication:
From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach

Issued Date

2011-01-01

Resource Type

Article

ISSN

08957177

DOI

10.1016/j.mcm.2010.07.025

Other identifier(s)

2-s2.0-77958480143

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Mathematical and Computer Modelling. Vol.53, No.1-2 (2011), 122-130

Suggested Citation

K. Patanarapeelert, T. D. Frank, I. M. Tang From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach. Mathematical and Computer Modelling. Vol.53, No.1-2 (2011), 122-130. doi:10.1016/j.mcm.2010.07.025 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/11809

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Title

From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach

Author(s)

K. Patanarapeelert
 T. D. Frank
 I. M. Tang

Other Contributor(s)

Silpakorn University
 University of Connecticut
 Mahidol University
 Commission on Higher Education

Abstract

Several models of tumor growth have been developed from various perspectives and for multiple scales. Due to the complexity of interactions, how the macroscopic dynamics formed by such interactions at the microscopic level is a difficult problem. In this paper, we focus on reconstructing a model from the output of an experimental model. This is carried out by the data analysis approach. We simulate the growth process of tumor with immune competition by using cellular automata technique adapted from previous studies. We employ an analysis of data given by the simulation output to derive an evolution equation of macroscopic dynamics of tumor growth. In a numerical example we show that the dynamics of tumor at stationary state can be described by an Ornstein-Uhlenbeck process. We show further how the result can be linked to the stochastic Gompertz model. © 2010 Elsevier Ltd.

Keyword(s)

Computer Science
 Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/11809

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