Modeling of a delay induced biochemical system for product optimization

Abstract

Abstract. Enzymatic reactions occur through active sites of enzymes, which combine with the substrates to form intermediate complexes and subsequently lead to product. Transformation from one intermediate to another requires time dependent conformational changes of complexes. These changes are thus often accompanied by some time delay during formation of product. Time delay due to conformational changes can be avoided by controlling suitable reaction parameters, which are better identified by mathematical modeling. In this research article, we have proposed a delay differential equation model of enzymatic reaction system and analyzed the dynamics of the system critically from analytical and numerical points of view. It has been observed that time delay affects the stability and performance characteristics of the system. A control induced delay differential equation model is derived to reduce the delay induced instability of the system which contributes product optimization.