کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137191 1489178 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical schemes for a size-structured cell population model with equal fission
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Numerical schemes for a size-structured cell population model with equal fission
چکیده انگلیسی

We study numerically the evolution of a size-structured cell population model, with finite maximum individual size and minimum size for mitosis. We formulate two schemes for the numerical solution of such a model. The schemes are analysed and optimal rates of convergence are derived. Some numerical experiments are also reported to demonstrate the predicted accuracy of the schemes. We also consider the behaviour of the methods with respect to the different discontinuities that appear in the solution to the problem and the stable size distribution. In addition, the numerical schemes are used to study asynchronous exponential growth.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 50, Issues 5–6, September 2009, Pages 653–664
نویسندگان
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