期刊文献+

一个具有活跃期和休眠期的细胞分裂增长模型的分析

Analysis of a Cell Division Model with the Proliferating Phase and the Quiescent Phase
原文传递
导出
摘要 研究一个具有活跃期和休眠期的细胞分裂增长模型.利用算子半群理论给出此模型全局适定性的详细证明.并且将此模型与对应的经典的只有单一状态的细胞分裂增长模型进行比较分析,得出不同之处. In this article,we consider the cell division model with proliferating phase and quiescent phase.By using the Co-semigroup theory,we prove that this model is the wellposed.We also give a comparison between this two-phase model with the classical and corresponding one-phase model and show the difference between them.
作者 柏萌 BAI Meng(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing 526061 China)
出处 《数学的实践与认识》 北大核心 2020年第17期107-113,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11301474) 广东省自然科学基金项目(2018A030313536) 广东省普通高校特色创新项目(2017KTSCX195) 广东省高等学校优秀青年教师培养计划资助项目(YQ2015167)。
关键词 细胞分裂增长模型 算子半群 全局适定性 比较分析 cell division model semigroups well-posedness comparison
  • 相关文献

参考文献2

二级参考文献14

  • 1[1]Dyson J,Villella-Bressan R,Webb G F.A nonliear age and maturity structureed model of population dynamics.Ⅰ.Basic Theory[J].J Math Anal Appl,2000,242:93-104.
  • 2[2]Dyson J,Villella-Bressan R,Webb G F.A nonliear age and maturity structureed model of population dynamics.Ⅱ.Chaos[J].J Math Anal Appl,2000,242:255-270.
  • 3[3]Webb G F.Theory of Nonliear Age-Dependent Population Dynamics[M].Marcel Dekker,New York,1985.
  • 4[4]Hisashi Inaba.Nonliear dynamics of open marine population with space-limited recruitment:The case of mortality control[J].J Math Anal Appl,2002,275:537-556.
  • 5[5]Nobuyuki Kato,Kazushige Sato.Continuous dependence results for a general model of size-dependent population dynamics[J].J Math Anal Appl,2002,272:200-222.
  • 6[6]Mostafa ADIMY.Laurent PUJO-MENJOUET.Asymptotic behavior of a singular transport equation modelling cell division[J].Cont and Disc Dynam Syst Ser B,2003,3(1):439-456.
  • 7[7]Mackey M C,Rudnicki R.Global stability in a delayed partial differential equation describing cellular replication[J].J Math Biol,1994,33:89-109.
  • 8[8]Mackey M C,Rudnicki R.A new criterion for the global stability of simultaneous cell replication and maturation processes[J].J Math Biol,1999,38:195-219.
  • 9Arina O, Sanchez E, Webb G F. Necessary and Sufficient Conditions for Asynchronous Exponential Growth in Age Structured Cell Populations with Quiescence. J. Math. Anal. Appl., 1997, 215: 499-513.
  • 10Dyson J, Villella-Bressan R, Webb G F. Asynchronous Exponential Growth in an Age Structured Population of Proliferating and Quienscent Cells. Math. Biosci., 2002, 177, 178:73-83.

共引文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部