| Issue |
ITM Web of Conferences
Volume 4, 2015
Workshop on Mathematics for Life Sciences (WMLS 2014)
|
|
|---|---|---|
| Article Number | 01001 | |
| Number of page(s) | 8 | |
| DOI | https://doi.org/10.1051/itmconf/20150401001 | |
| Published online | 07 May 2015 | |
Mathematical models of morphogenesis
University of Lisbon, Instituto Superior Técnico, Department of Physics, Non-Linear Dynamics Group, Av. Rovisco Pais, 1049-001 Lisbon, Portugal
a e-mail: ruidilao@tecnico.ulisboa.pt
Morphogenesis is the ensemble of phenomena that generates the form and shape of organisms. Organisms are classified according to some of its structural characteristics, to its metabolism and to its form. In particular, the empirical classification associated with the phylum concept is related with the form and shape of organisms. In the first part of this talk, we introduce the class of mathematical models associated the Turing approach to pattern formation. In the Turing approach, morphogenesis models are described by reaction-diffusion parabolic partial differential equations. Based on this formalism, we present a mathematical model describing the first two hours of development of the fruit fly Drosophila. In the second part of this talk, we present results on Pareto optimality to calibrate and validate mathematical models.
© 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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