General linear compartment model with zero input: III. First passage residence time of enzyme systems

In this paper, we present an alternative procedure to derive the residence times of enzyme and compartment systems. This procedure allows to express the residence time by a general, symbolic and simplified formula relating it directly with the rate constants. It is applicable to any enzyme reaction scheme which can be formulated as a set of first-order or pseudo-first order interconversions, without any other restriction. A computer program has been developed that greatly facilitates the task of the residence time derivations. The above analysis was extrapolated to any linear compartment model.