癌细胞侵袭模型及其数值模拟  

Cancer Cell Invasion Model and Its Numerical Simulation

作　　者：肉孜买买提·马合木提 努日曼古丽·牙森 古丽博斯坦·阿克木 Rouzimaimaiti Mahemuti;Nurimanguli Yasen;Gulibositan Akemu(School of Information Technology and Engineering,Guangzhou College of Commerce,Guangzhou 511363,China;Guangdong Provincial Key Laboratory of Computational Science and Material Design,Southern University of Science and Technology,Shenzhen 518055,China;College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[1]广州商学院信息技术与工程学院,广东广州511363 [2]广东省计算科学与新材料设计重点实验室(南方科技大学),广东深圳518055 [3]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2023年第9期100-108,共9页Mathematics in Practice and Theory

基　　金：广东省计算科学与新材料设计重点实验室(南方科技大学)开放课题资助(2019B030301001)。

摘　　要：主要考虑癌侵袭过程中发挥着重要作用的侵袭伪足及其形成过程.侵袭伪足的形成需要几个过程,包括肌动蛋白重组,细胞外基质(ECM)的退化,和基质金属蛋白酶(MMP)的激活等等.考虑具有复杂机制的癌细胞侵袭并建立数学模型,这里出现两个正反馈循环,通过数值模拟来观察了这些正反馈循环对察癌细胞侵袭伪足形成的影响.In this paper,mainly consider the formation of invadopodia,which is crucial to cancer cell invasion.The formation of invadopodia requires several process,including actin reorganization,degradation of extracellular matrix(ECM),and activation of matrix metalloproteinases(MMP).We considered the invasion of cancer cells with complex mechanisms and established a mathematical model.There are two positive feedback loops,we mainly observed the influence of these positive feedback loops on the formation of invadopodia via numerical simulations.

关 键 词：数学模型 癌细胞侵袭 非线性偏微分方程 数值方法 

分 类 号：O241.8[理学—计算数学] R73[理学—数学]