Symmetry structures in dynamic models of biochemical systems
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AbstractSymmetries provide a powerful concept for the development of mechanistic models by describing structures corresponding to the underlying dynamics of biological systems. In this paper, we consider symmetries of the non-linear Hill model describing enzymatic reaction kinetics, and derive a class of symmetry transformations for each order n of the model. We consider a minimal example consisting in the application of symmetry based methods to a model selection problem, where we are able to demonstrate superior performance compared to ordinary residual-based model selection. Finally, we discuss the role of symmetries in systematic model building in systems biology.
2020 ◽
Vol 17
(168)
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pp. 20200204
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2021 ◽
Vol 16
(4)
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pp. 638-669
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2017 ◽
Vol 66
(6)
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pp. 780-796
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2006 ◽
Vol 135
(1-2)
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pp. 125-154
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