Identification of parameters of evolutionary model of monocyclic cells aggregation with the hop plants example

摘要

In this paper, we analyze the temporal evolution of the monocyclic age-structured cells aggregation using the exact analytical solution of the system of temporal-age initial-boundary problems for the transport equations. We consider the set of income equation coefficients as a set of parametrical algebraic functions with compact sets of parameter definition. Using the stochastic optimization method we resolve the parameters estimation problem for data of above-ground dried biomass of hop plant observed over 3 seasons. As the relative errors of deviation of simulated curves from points of observed data are less than 7%, we conclude that the age-structured models of cells aggregation are efficient enough to describe the temporal evolution of plant dried biomass.