模拟肿瘤生长的Logistic细胞自动机模型  

A Logistic Cellular Automaton for Simulating Tumor Growth

作　　者：胡日查[1] 阮晓钢[2] 

机构地区：[1]北京工业大学计算机学院,北京100022 [2]北京工业大学电子信息与控制工程学院,北京100022

出　　处：《生物医学工程学杂志》2003年第1期79-82,共4页Journal of Biomedical Engineering

基　　金：北京市自然科学基金资助课题 ( 39930 10)

摘　　要：对模拟肿瘤生长的微分方程 L ogistic模型进行了分析和研究 ,设计了一种基于一维细胞自动机的肿瘤生长动态模型。以连续 L ogistic模型为基础 ,导出模型的离散差分形式 ,在前人工作的基础上 ,设计出基于细胞自动机的离散计算机生长动态模型 ,并设计出细胞自动机状态随机演化规则 ,对基于细胞自动机的肿瘤生长动态模型进行了数值仿真实验 ,理论分析和结果表明细胞自动机模型模拟仿真计算数据与微分方程 LThis 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.

关 键 词：LOGISTIC 细胞自动机 肿瘤建模 随机增长模型 

分 类 号：R319[医药卫生—基础医学]