Multi-compartment Model - Single-compartment Model

Single-compartment Model

Possibly the simplest application of multi-compartment model is in the single-cell concentration monitoring (see the figure above). If the volume of a cell is V, the mass of solute is q, the input is u(t) and the secretion of the solution is proportional to the density of it within the cell, then the concentration of the solution C"' within the cell over time is given by

where k is the proportionality.

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