Nonnegative Linear Elimination for Chemical Reaction Networks
نویسندگان
چکیده
منابع مشابه
Piecewise linear models of chemical reaction networks
We show that certain non-linear dynamical systems with non-linearities in the form of Hill functions, can be approximated by piecewise linear dynamical systems. The resulting piecewise systems have closed form solutions that can be used to understand the behavior of the fully nonlinear system. We justify the reduction using geometric singular perturbation theory, and illustrate the results in n...
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Models of biochemical networks are frequently complex and high-dimensional. Reduction methods that preserve important dynamical properties are therefore essential for their study. Interactions in biochemical networks are frequently modeled using Hill functions ([Formula: see text]). Reduced ODEs and Boolean approximations of such model networks have been studied extensively when the exponent [F...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2019
ISSN: 0036-1399,1095-712X
DOI: 10.1137/18m1197692