Application of fractional derivative on non-linear biochemical reaction models
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
KeAi Communications Co.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Systems of ordinary differential equations play an important role in analyzing the dynamics for real world situations such as cell signaling pathways, population growth, enzymatic inhibitor reactions, and ecological models. Although, using differential equations have a great advantage to understand the dynamical behavior for such systems but most of the biological models have memory or sometimes called after effects. Such effects in the systems are often neglected. The idea of fractional-order differential equations gives a great role in understanding and identifying these effects on the model dynamics. In this paper, we review the basic ideas of fractional differential equations and their applications on non-linear biochemical reaction models. We apply this idea to a non-linear model of enzyme inhibitor reactions. The suggested method provides a good step forwards to understand the model dynamics in complex enzymatic reactions. We use a numerical approach to calculate some computational simulation of the model for different initial conditions and parameters. © 2020 The Author(s)
Açıklama
Anahtar Kelimeler
Biochemical reaction networks, Fractional differential equations, Mathematical modelling, Numerical simulations
Kaynak
International Journal of Intelligent Networks
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
1
