کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9471077 1320064 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cancer self remission and tumor stability - a stochastic approach
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Cancer self remission and tumor stability - a stochastic approach
چکیده انگلیسی
The paper aims to express the spontaneous regression and progression of a malignant tumor system as a prey-predator like system. The model is a three dimensional deterministic system, consisting of tumor cells, hunting predator cells and resting predator cells. Local stability analysis is performed along with numerical simulations to support the analytical findings. Moreover, the deterministic model is extended to a stochastic one allowing random fluctuations around the positive interior equilibrium. The stochastic stability properties of the model are investigated both analytically and numerically. The thresholds obtained from our study may be helpful to control the malignant tumor growth.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 196, Issue 1, July 2005, Pages 65-81
نویسندگان
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