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[一种用于模拟肿瘤生长的逻辑细胞自动机]

[A logistic cellular automaton for simulating tumor growth].

作者信息

Hu Richa, Ruan Xiaogang

机构信息

School of Computer, Beijing Polytechnic University, Beijing 100022.

出版信息

Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2003 Mar;20(1):79-82.

Abstract

This paper focuses on a differential equation logistic model simulating tumor growth. We design a kind of tumor dynamic growth model with one-dimensional cellular automata. A discrete logistic model is developed from the continuous logistic model. Based on others' work, we design discrete mathematical growth dynamic model with cellular automaton. In terms of discrete model, we design stochastic evolving rules of cellular automaton. And this paper simulates the tumor growth dynamic model with cellular automata. The theoretic analysis and results of cellular automaton model are in agreement with data from the ideal differential equation logistic growth of cancer.

摘要

本文聚焦于一个模拟肿瘤生长的微分方程逻辑模型。我们用一维细胞自动机构建了一种肿瘤动态生长模型。从连续逻辑模型推导出一个离散逻辑模型。基于他人的工作,我们设计了带有细胞自动机的离散数学生长动态模型。对于离散模型,我们设计了细胞自动机的随机演化规则。并且本文用细胞自动机模拟了肿瘤生长动态模型。细胞自动机模型的理论分析和结果与癌症理想微分方程逻辑生长的数据相符。

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