کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9740114 | 1489225 | 2005 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A mathematical model of vascular tumor treatment by chemotherapy
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
From the viewpoint of biological stoichiometry, a mathematical model of vascular tumor treatment with chemotherapy techniques is proposed utilizing a system of delayed differential equations representing the change in mass of healthy cells, competing parenchyma cells, chemotherapy, and the number of blood vessels within the tumor. In the absence of treatment, mathematical analysis of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence, and global stability are analyzed. It is shown that the system can be permanent, but whenever the boundary equilibrium is stable, the interior equilibrium of the system cannot be globally stable for at least small values of time delay. Further, in this case, persistence cannot occur at least for small values of the time delay. Necessary and sufficient conditions for Hopf bifurcation to occur are also obtained by using the time delay as a bifurcation parameter. Finally, based on all these qualitative behaviors of the model, a continuous treatment for tumor growth is considered. The analysis is carried out both analytically and numerically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 42, Issues 9â10, November 2005, Pages 1089-1112
Journal: Mathematical and Computer Modelling - Volume 42, Issues 9â10, November 2005, Pages 1089-1112
نویسندگان
Wenxiang Liu, H.I. Freedman,