Subcutaneous insulin absorption model for parameter estimation from time-course of plasma insulin

A mathematical model for the absorption of subcutaneously administered soluble insulin is presented. A dissociation-diffusion model with distributed parameter was transformed into a lumped parameter model by spatial discretization. Simulations of various insulin injections with this model demonstrate volume and concentration dependant absorption as experimentally observed. The model can be used for simulating absorption following multiple injections or continuous insulin infusion within a wide range of insulin concentrations and volumes. Parameter estimation from experimental data confirm that this model can be employed for individual therapy adjustment.