Before revision:  Here we study how cells generally and optimally process multi-dimensional information embedded in dynamical patterns through biochemical networks. Considering a deterministic limit, we model the decoding networks by linear response functions, and optimize the functions with the calculus of variations to maximize the mutual information between patterns and output.
After revision:  Here we study how cells generally and optimally process multi-dimensional information embedded in dynamical patterns . We model the decoding networks by linear response functions, and optimize the functions with the calculus of variations to maximize the mutual information between patterns and output.