Optimal control study on Michaelis–Menten kinetics — A fractional version

Abstract

Systems biology adopts a holistic approach and brings a whole new way of understanding complex biological systems where it becomes important to study the interactions within its components. This article is concerned with the analysis of Michaelis Menten kinetics in the sense of fractional derivatives which fills the gap in the existing literature. Further, the study extends with the optimal control. Thus aiming for better accuracy and understanding, the comparison of classical and fractional systems shall be examined through numerical illustrations. The basic study of chemical reaction networks with fractional derivative is discussed at the end with numerical results.