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An approximate model of the response behavior of the sensor based on a cascade of first-order filters. The biomass X(t) is assumed to be approximately related to the concentration of malonyl-CoA M(t) through a first-order pole-zero filter. The sensor complex malonyl-CoA-FapR concentration C(t) is then related to M(t) through a first-order filter and finally, the RFP concentration R(t) is again related to C(t) through another first-order filter.
