Transient frequency preference in simple cell signaling motifs

CONSTANZA FERNANDEZ SANCHEZ DE LA VEGA; JULIANA REVES; BALDERRAMA ROCÍO; ALEJANDRA VENTURA

Congreso; 9th international congress on industrial and applied mathematics; 2019

    In many biological contexts it is important to understand how the cell signaling system responds to time-dependent inputs. Signaling pathways stimulated by inputs that    change rapidly over time need to process a significant amount of information. How much information they can process per unit of time is proportional to its bandwidth,    which is determined by measuring the system's respones to fluctuating signals at different frequencies. The larger the bandwidth of a pathway, the shorter its response    time and the more accurately they respond to a rapidly varying signal.\\        Our goal is to identify conditions for which simple signaling topologies can optimize a given response at certain band of input frequencies,    where by optimizing we mean,  maximizing the production or the level of activation of a protein at these frequencies. We refer to this optimization as    Frequency Preference (\textbf{FP}).\\        When a pulsatile signal stimulates a signaling component, an initial, transient response is induced, later on a quasi stationary (asymptotically periodic) behavior is achieved.  This last phase is obtained when the stimulation lasts for a long time compared with the time-scale of the signaling component. Several articles in the literature    have looked for motifs and conditions leading to \textbf{FP}. However, all of them    focus on the stationary response. In this work we pay attention to what we call {\bf Transient    Frequency Preference} (\textbf{TFP}), meaning with this a maximum in the frequency-response curve    when the response is measured in a time window within the transient phase.