Solving inverse problems for biological models using the collage method for differential equations
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 biolo...
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| Veröffentlicht in: | Journal of mathematical biology 2013-07, Vol.67 (1), p.25-38 |
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| container_title | Journal of mathematical biology |
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| creator | Capasso, V. Kunze, H. E. La Torre, D. Vrscay, E. R. |
| description | 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. |
| doi_str_mv | 10.1007/s00285-012-0515-z |
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| subjects | Animals Applications of Mathematics Dictyostelium - growth & development Dictyostelium - microbiology Gene Expression Regulation Humans Mathematical and Computational Biology Mathematical Concepts Mathematics Mathematics and Statistics Models, Biological Neoplasms - pathology Population Dynamics - statistics & numerical data Pseudomonas aeruginosa - growth & development Pseudomonas aeruginosa - pathogenicity Stochastic Processes |
| title | Solving inverse problems for biological models using the collage method for differential equations |
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