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. Capasso
Primo
;
D. La Torre
Penultimo
;
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 growth
Collage Theorem ; Inverse problems ; Biological models
Settore SECS-S/06 - Metodi mat. dell'economia e Scienze Attuariali e Finanziarie
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/177513
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