In this work we focus on how noise propagates in biochemical reaction networks and affects sensitivities of the system. We discover that the stochastic fluctuations can enhance sensitivities in one region of the value of control parameters by reducing sensitivities in another region. Based on this compensation principle, we designed a concentration detector in which enhanced amplification is ac...

A method for computing the network output sensitivities with respect to variations in the inputs for multilayer feedforward artiicial neural networks with diierentiable activation functions is presented. It is applied to obtain expressions for the rst and second order sensitivities. An example is introduced along with a discussion to illustrate how the sensitivities are calculated and to show h...