| Issue |
ITM Web of Conferences
Volume 5, 2015
Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology
|
|
|---|---|---|
| Article Number | 00016 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/itmconf/20150500016 | |
| Published online | 11 December 2015 | |
Structured Models for Cell Populations: Direct and Inverse Problems
1 IMPA, Estr. Dona Castorina, 110, 22460-320 Rio de Janeiro, Brazil
2 Computational Science Center, University of Vienna, Oskar Morgenstern-Platz 1, 1090 Vienna, Austria
a e-mail: vvla@impa.br
b e-mail: zubelli@impa.br
Structured population models in biology lead to integro-differential equations that describe the evolution in time of the population density taking into account a given feature such as the age, the size, or the volume. These models possess interesting analytic properties and have been used extensively in a number of areas. In this article, we consider a size-structured model for cell division and revisit the question of determining the division (birth) rate from the measured stable size distribution of the population. We formulate such question as an inverse problem for an integro-differential equation posed on the half line. The focus is to compare from a computational view point the performance of different algorithms. Finally, we will discuss real data reconstructions with E. coli data.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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