کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7221926 1470385 2018 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of solutions of a free-boundary tumor model with angiogenesis
ترجمه فارسی عنوان
رفتار وابسته به راه حل های یک مدل تومور آزاد مرزی با آنژیوژنز
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
This paper is concerned with a free boundary problem modeling the growth of solid tumor spheroid with angiogenesis. The model comprises a coupled system of two elliptic equations describing the distribution of nutrient concentration σ and inner pressure p within the tumor tissue. Angiogenesis results in a new boundary condition ∂nσ+βσ−σ¯=0 instead of the widely studied condition σ=σ¯ over the moving boundary, where β is a positive constant. We first prove that this problem admits a unique radial stationary solution, and this solution is globally asymptotically stable under radial perturbations. Then we establish local well-posedness of the problem and study asymptotic stability of the radial stationary solution under non-radial perturbations. A positive threshold value γ∗ is obtained such that the radial stationary solution is asymptotically stable for γ>γ∗ and unstable for 0<γ<γ∗.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 44, December 2018, Pages 86-105
نویسندگان
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