Markov cellular automata models for chronic disease progression

作     者：Jane Hawkins Donna Molinek 

作者机构：Department of Mathematics University of North Carolina at Chapel HillCB #3250 Chapel Hill North Carolina 27599-3250 USA Department of Mathematics and Computer Science Davidson College Davidson North Carolina 28035 USA 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2015年第8卷第6期

页      面：259-280页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 070801[理学-固体地球物理学] 07[理学] 0708[理学-地球物理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Boswell Family National Science Foundation, NSF 

主　　题：HIV cellular automata Markov process HCV. 

摘      要：We analyze a Markov cellular automaton that models the spread of viruses that often progress to a chronic condition, such as human immunodeficiency virus （HIV） or hep- atitis C virus （HCV）. We show that the complex dynamical system produces a Markov process at the later stages, whose eigenvectors corresponding to the eigenvalue 1 have physical significance for the long-term prognosis of the virus. Moreover we show that drug treatment leads to chronic conditions that can be modeled by Markov shifts with more optimal eigenveetors.