Mathematical modeling for enzyme inhibitors with slow and fast subsystems
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor and Francis Ltd.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Mathematical modeling for biochemical enzyme inhibitor systems plays an important role in the systems of biology. Studying and analyzing the dynamical behavior for such models often need some techniques to obtain the model reduction. The well-known techniques of model reduction are suggested in order to divide the model equations into slow and fast subsystems. They are quasi steady-state approximation and quasi-equilibrium approximation. These techniques are great mathematical tools for simplifying model equations and identifying some analytical approximate solutions. In this work, we define mathematical models of enzyme inhibitors and suggest the model reduction approaches. We study two models as examples for enzyme inhibitors such as competitive inhibition and uncompetitive inhibition. Obtained results show that the suggested approaches are effective tools to minimize the number of elements and to find analytical approximate solutions. Accordingly, the idea of separating slow and fast equations will be applied for a wide range of complex enzyme inhibitor networks. © 2020 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.
Açıklama
Anahtar Kelimeler
enzyme reactions, Mathematical modeling, model reductions, slow and fast subsystems
Kaynak
Arab Journal of Basic and Applied Sciences
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
27
Sayı
1
