In the first part of this paper we show how inverse problems for differential equations can be solved using the so-called collage method. Inverse problems can be solved by minimizing the collage distance in an appropriate metric space. We then provide several numerical examples in mathematical biology. We consider applications of this approach to the following areas: population dynamics, mRNA and protein concentration, bacteria and amoeba cells interaction, tumor growth
Solving inverse problems for biological models using the collage method for differential equations / V. Capasso, H.E. Kunze, D. La Torre, E.R. Vrscay. - In: JOURNAL OF MATHEMATICAL BIOLOGY. - ISSN 0303-6812. - 67:1(2013), pp. 25-38.
Solving inverse problems for biological models using the collage method for differential equations
V. CapassoPrimo
;D. La TorrePenultimo
;
2013
Abstract
In the first part of this paper we show how inverse problems for differential equations can be solved using the so-called collage method. Inverse problems can be solved by minimizing the collage distance in an appropriate metric space. We then provide several numerical examples in mathematical biology. We consider applications of this approach to the following areas: population dynamics, mRNA and protein concentration, bacteria and amoeba cells interaction, tumor growthPubblicazioni consigliate
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