کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9506053 | 1340376 | 2005 | 43 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bernstein's second theorem and Viro's method for sparse polynomial systems in chemistry
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
We consider a family of sparse polynomial systems denned by a directed graph and a bipartite graph which depend on certain parameters. A convex polyhedral cone serves as a representative of all positive solutions of the family. We study the boundary of this cone with Bernstein's second theorem and Viro's method. In particular we present new results about the parameter regions where several positive solutions appear. Since they are steady states of an underlying dynamical system of mass action kinetics, the resulting multistationarity has important implications for the dynamics of that system. Examples from applications illustrate the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 34, Issue 2, February 2005, Pages 252-294
Journal: Advances in Applied Mathematics - Volume 34, Issue 2, February 2005, Pages 252-294
نویسندگان
Karin Gatermann, Matthias Wolfrum,