title: Optimal Prediction by Cellular Signaling Networks.
abstract: Living cells can enhance their fitness by anticipating environmental change. We study how accurately linear signaling networks in cells can predict future signals. We find that maximal predictive power results from a combination of input-noise suppression, linear extrapolation, and selective readout of correlated past signal values. Single-layer networks generate exponential response kernels, which suffice to predict Markovian signals optimally. Multilayer networks allow oscillatory kernels that can optimally predict non-Markovian signals. At low noise, these kernels exploit the signal derivative for extrapolation, while at high noise, they capitalize on signal values in the past that are strongly correlated with the future signal. We show how the common motifs of negative feedback and incoherent feed-forward can implement these optimal response functions. Simulations reveal that E. coli can reliably predict concentration changes for chemotaxis, and that the integration time of its response kernel arises from a trade-off between rapid response and noise suppression.
authors.affiliation: Bioquant, Universtität Heidelberg, Im Neuenheimer Feld 267, 69120 Heidelberg, Germany.
authors.forename: Nils B
authors.initials: NB
authors.lastname: Becker
authors.affiliation: Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA.
authors.forename: Andrew
authors.initials: A
authors.lastname: Mugler
authors.affiliation: FOM Institute AMOLF, Science Park 104, 1098 XG Amsterdam, The Netherlands.
authors.forename: Pieter Rein
authors.initials: PR
authors.lastname: Ten Wolde
mesh_terms: D002468:Cell Physiological Phenomena / Q000502:physiology*; D002633:Chemotaxis / Q000502:physiology; D003198:Computer Simulation; D004926:Escherichia coli / Q000502:physiology; D008390:Markov Chains; D008954:Models, Biological; D015398:Signal Transduction / Q000502:physiology*