Solvability of Solid Tumor Invasion Model

被引：1
|
作者：
Mani, V. N. Deiva [1 ]
Anthoni, S. Marshal [1 ]
Nyamoradi, N. [2 ]
机构：
[1] Anna Univ, Dept Math, Reg Campus, Coimbatore, Tamil Nadu, India
[2] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran
来源：
RESULTS IN MATHEMATICS | 2021年 / 76卷 / 01期
关键词：
Tumor invasion system; renormalized solution; 35K65; 92D25; NONLINEAR PARABOLIC PROBLEMS; CHEMOTAXIS-HAPTOTAXIS MODEL; GLOBAL WEAK SOLUTIONS; NAVIER-STOKES SYSTEM; RENORMALIZED SOLUTIONS; ASYMPTOTIC-BEHAVIOR; CLASSICAL-SOLUTIONS; ANGIOGENESIS MODEL; CANCER INVASION; EXISTENCE;
D O I：
10.1007/s00025-021-01346-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We illustrate the solvability through weak-renormalized solutions for an invasion system of healthy tissue by a solid tumor under the Dirichlet boundary conditions and the assumptions of no growth conditions and integrable data. This model consists of four parameters: tumor cell density, matrix degradation enzyme concentration, macromolecules concentration, and oxygen concentration.
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页数：24
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