کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840695 908489 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Qualitative analysis of a delayed free boundary problem for tumor growth under the effect of inhibitors
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Qualitative analysis of a delayed free boundary problem for tumor growth under the effect of inhibitors
چکیده انگلیسی

In this paper we study a delayed free boundary problem for the growth of tumors under the effect of inhibitors. The establishing of the model is based on the diffusion of nutrient and inhibitors, and mass conservation for the two processes proliferation and apoptosis. It is assumed that the process of proliferation is delayed compared to apoptosis. We mainly study the asymptotic behavior of the solution, and prove that under some assumptions, in the case where c1c1 and c2c2 are sufficiently small, the volume of the tumor cannot expand without limit; it will either disappear or evolve to a dormant state as t→∞t→∞.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 10, July 2011, Pages 3295–3304
نویسندگان
,