一类带有修复项趋化-趋触模型解的全局存在性
首发时间:2019-03-14
摘要:肿瘤浸润趋化模型是经典Keller-Segel趋化模型的一种扩展模型,肿瘤浸润包括许多涉及不同生物机制的重要步骤,众多生物学家和数学家建立了各种各样的关于肿瘤浸润不同方面的数学模型,特别是Chaplain和Anderson于2003年提出的一类新的肿瘤浸润趋化模型。本文主要考虑带修复项和一般Logistic源的肿瘤入侵模型,并在初值满足适当的正则性假设下,证明了经典解的全局存在性。
For information in English, please click here
Global boundedness in a chemotaxis-haptotaxis model with remodeling term.
Abstract:The chemotaxis model for tumor invasion is a extended model with classic chemotaxis model. Tumor invasion contains many important steps involved different biological mechanisms. Many biologists and mathematicians established various mathematics models for tumor invasion, especially a new tumor invasion model originally introduced by Chaplain and Anderson. This paper deals with the tumor invasion model with remodeling and generalized logistic source. Under appropriate regularity assumptions on the initial data, we prove the global boundedness of classical solutions.
Keywords: Partial differential equation Cheomtaxis Hapotaxis Global boundedness Tumor cells
基金:
引用
No.****
动态公开评议
共计0人参与
勘误表
一类带有修复项趋化-趋触模型解的全局存在性
评论
全部评论0/1000