Numerical solution of inverse problem for secretion and kinetics of C-peptide model

The minimal model of insulin secretion based on C-peptide data (Toffolo et al., 1995) is presented in this report. The secretion model is identified on C-peptide taken in plasma; it must be integrated into a model of whole-body C-peptide kinetics. The kinetic model is the one proposed by (Eaton et al., 1980) and consists of 2 compartments. Compartment 1, accessible to measurement, represents plasma and rapidly equilibrating tissues, whereas compartment 2 represents tissues in slow exchange with plasma. This model allows estimating distribution of insulin in the blood and tissues. A new iterative algorithm for finding kinetic constants and secretion parameters is proposed. Numerical solution of inverse problem was obtained by using synthetic data. Different levels of noise were added to such data. The question of initial approximation is covered in this talk.)