کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4500199 1319969 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing weakly reversible linearly conjugate chemical reaction networks with minimal deficiency
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Computing weakly reversible linearly conjugate chemical reaction networks with minimal deficiency
چکیده انگلیسی

Mass-action kinetics is frequently used in systems biology to model the behavior of interacting chemical species. Many important dynamical properties are known to hold for such systems if their underlying networks are weakly reversible and have a low deficiency. In particular, the Deficiency Zero and Deficiency One Theorems guarantee strong regularity with regards to the number and stability of positive equilibrium states. It is also known that chemical reaction networks with distinct reaction structure can admit mass-action systems with the same qualitative dynamics. The theory of linear conjugacy encapsulates the cases where this relationship is captured by a linear transformation. In this paper, we propose a mixed-integer linear programming algorithm capable of determining the minimal deficiency weakly reversible reaction network which admits a mass-action system which is linearly conjugate to a given reaction network.


► Mixed-integer linear programming algorithm derived.
► Capable of determining weakly reversible networks with minimal deficiency.
► We propose an enzyme-substrate model with binary interactions.
► The minimal deficiency network depends on the rate constants.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 241, Issue 1, January 2013, Pages 88–98
نویسندگان
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