Implementing Gompertz model with a one-dimensional cellular automaton

Author

Ruan, Xiao-gang ; Hu, Ri-Cha

Author_Institution

Sch. of Electron. Inf. & Control Eng., Beijing Polytech. Univ., China

Volume

2

fYear

2002

fDate

2002

Firstpage

1116

Abstract

The paper focuses on modeling tumor growth with cellular automata. A one-dimensional cellular automaton is proposed for implementing the Gompertz: model to formulate tumor growth dynamics, which is called Gompertz CA. First, a discrete Gompertz model is derived from the standard Gompertz model. Then, stochastically evolutionary rules for the Gompertz CA are developed based on the discrete Gompertz model. The Gompertz CA is therefore randomized by the stochastically evolutionary rules so that it can be represented with a stochastic process or a stochastic difference equation.

Keywords

cellular automata; difference equations; physiological models; stochastic processes; tumours; Gompertz CA; discrete Gompertz model; growth dynamics; one-dimensional cellular automaton; stochastic difference equation; stochastic process; stochastically evolutionary rules; tumor growth; Automata; Biological interactions; Biological system modeling; Control engineering; Difference equations; Malignant tumors; Mathematical model; Neoplasms; Stochastic processes; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on

Print_ISBN

0-7803-7268-9

Type

conf

DOI

10.1109/WCICA.2002.1020752

Filename

1020752