Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis
Analysis of a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis
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DOI：
10.1016/j.jmaa.2019.123474
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发表时间：
2020-01
影响因子：
1.3
通讯作者：
Genglin Li;Youshan Tao
中科院分区：
文献类型：
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作者：
Genglin Li;Youshan Tao
在有界的真实的区间内，本文考虑了描述血管新生过程中毛细血管芽分支的趋化-对流模型{ut = d 1 u x x−（u v x）x+（u w x）x，v t= d 2 v x x+（v w x）x+ k u− μ v，w t= d 3 w x+ r u− δ w，其中d 1，d 2，d 3，k，r，μ和δ为正参数。它表明，对于所有适当的正则初始数据，相关的Neumann初边值问题承认一个全局定义的有界光滑解。
In a bounded real interval, this work considers the chemotaxis-convection model {u t= d 1 u x x−(u v x) x+(u w x) x, v t= d 2 v x x+(v w x) x+ k u− μ v, w t= d 3 w x x+ r u− δ w, that describes the branching of capillary sprouts during angiogenesis, where d 1, d 2, d 3, k, r, μ and δ are positive parameters. It is shown that for all suitably regular initial data, an associated Neumann initial-boundary problem admits a globally defined bounded smooth solution.