کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631049 | 1340615 | 2012 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Reaction-diffusion models of threshold and waveblock in heterogeneous excitable media
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Nonlinear and linear reaction-diffusion equation models of heterogeneous excitable media are presented. These models include threshold, but no recovery. The linear model behaves in a similar manner to the nonlinear model under certain parameter constraints. It is shown that if a threshold stimulus is applied near the boundary of heterogeneities in excitability, waveblock and unidirectional propagation may occur. In this case, an excitation front propagates in one direction while propagation in the opposite direction is blocked. Waveblock corresponds to specific time-independent, nonhomogeneous steady state solutions of the models. These steady states are numerically and analytically investigated to determine the critical parameter values for which waveblock will occur.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 13, 1 March 2012, Pages 7212-7220
Journal: Applied Mathematics and Computation - Volume 218, Issue 13, 1 March 2012, Pages 7212-7220
نویسندگان
John G. Alford,