Integral Feedback Control in System Biology Application to Bacterial Chemotaxis

The necessity of integral feedback control is important to bioengineers, because they must reverse engineer systems designed by evolution. When a system exhibits robust asymptotic tracking, it must have Integral feedback as structural properties of the system. In this paper we are investigating the conditions under which a system has the property that the output is independent of the input level in steady state. This is called perfect adaptation in biology, but we will refer to it as asymptotic tracking following control theory terminology. The application of integral adaptive and heuristic model based on Volttera kernel to biochemical signaling networks and bacterial chemotaxis are presented.