|
|||||
|
|
Solving inverse problems for biological models using the collage method for differential equations |
|
| Authors: | V Capasso H E Kunze D La Torre E R Vrscay |
| Institution: | 1. Department of Mathematics, University of Milan, Milan, Italy 2. Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada 3. Department of Economics, Business and Statistics, University of Milan, Milan, Italy 4. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada |
| 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. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |