In:
Journal of Inverse and Ill-posed Problems, Walter de Gruyter GmbH, Vol. 23, No. 5 ( 2015-10-1), p. 519-527
Abstract:
Four simple mathematical models of pharmacokinetic, competition between immune and tumor cells, infectious disease and tuberculosis epidemic are considered. An optimization approach for identification those models based on gradient type methods is introduced. Inverse problems are formulated in the form of an operator equation and then reduced to the minimization of the corresponding misfit functionals. The adjoint problems are used for the calculation of gradients. A mathematical model of competition between immune and tumor cells is considered numerically. The results of a numerical experiment are demonstrated.
Type of Medium:
Online Resource
ISSN:
0928-0219
,
1569-3945
DOI:
10.1515/jiip-2015-0072
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2015
detail.hit.zdb_id:
2041913-2
SSG:
11
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