کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7222032 | 1470386 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We study a free boundary problem modeling solid tumor growth. The simplified model contains a parameter λ. Different from previous works on bifurcation analysis, a new ingredient of the present paper is that the influence of the extracellular matrix (ECM) and matrix degrading enzymes (MDE) interactions is included in the model. We first show that for each λ>0, there exists a unique radially symmetric stationary solution with radius r=RS. Then we prove that there exist a positive integer nâ and a sequence of λn(n>nâ) for which branches of symmetry-breaking stationary solutions bifurcate from the radially symmetric one. In particular, we discover that these λn are larger than those λËn previously known when the effects of ECM and MDE are not considered in the model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 43, October 2018, Pages 362-377
Journal: Nonlinear Analysis: Real World Applications - Volume 43, October 2018, Pages 362-377
نویسندگان
Hongjing Pan, Ruixiang Xing,