Complexity of model testing for dynamical systems with toric steady states
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Complexity of model testing for dynamical systems with toric steady states. / Adamer, Michael F.; Helmer, Martin.
I: Advances in Applied Mathematics, Bind 110, 2019, s. 42-75.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Complexity of model testing for dynamical systems with toric steady states
AU - Adamer, Michael F.
AU - Helmer, Martin
PY - 2019
Y1 - 2019
N2 - In this paper we investigate the complexity of model selection and model testing for dynamical systems with toric steady states. Such systems frequently arise in the study of chemical reaction networks. We do this by formulating these tasks as a constrained optimization problem in Euclidean space. This optimization problem is known as a Euclidean distance problem; the complexity of solving this problem is measured by an invariant called the Euclidean distance (ED) degree. We determine closed-form expressions for the ED degree of the steady states of several families of chemical reaction networks with toric steady states and arbitrarily many reactions. To illustrate the utility of this work we show how the ED degree can be used as a tool for estimating the computational cost of solving the model testing and model selection problems.
AB - In this paper we investigate the complexity of model selection and model testing for dynamical systems with toric steady states. Such systems frequently arise in the study of chemical reaction networks. We do this by formulating these tasks as a constrained optimization problem in Euclidean space. This optimization problem is known as a Euclidean distance problem; the complexity of solving this problem is measured by an invariant called the Euclidean distance (ED) degree. We determine closed-form expressions for the ED degree of the steady states of several families of chemical reaction networks with toric steady states and arbitrarily many reactions. To illustrate the utility of this work we show how the ED degree can be used as a tool for estimating the computational cost of solving the model testing and model selection problems.
UR - http://www.scopus.com/inward/record.url?scp=85067341290&partnerID=8YFLogxK
U2 - 10.1016/j.aam.2019.06.001
DO - 10.1016/j.aam.2019.06.001
M3 - Journal article
AN - SCOPUS:85067341290
VL - 110
SP - 42
EP - 75
JO - Advances in Applied Mathematics
JF - Advances in Applied Mathematics
SN - 0196-8858
ER -
ID: 222971860