Mathematical models of morphogenesis
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 t...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2015-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/itmconf/20150401001 |
| _version_ | 1818664660300201984 |
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| author | Dilão Rui |
| author_facet | Dilão Rui |
| author_sort | Dilão Rui |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T05:36:16Z |
| format | Article |
| id | doaj.art-1580e1206cc04821876545c96791417b |
| institution | Directory Open Access Journal |
| issn | 2271-2097 |
| language | English |
| last_indexed | 2024-12-17T05:36:16Z |
| publishDate | 2015-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj.art-1580e1206cc04821876545c96791417b2022-12-21T22:01:37ZengEDP SciencesITM Web of Conferences2271-20972015-01-0140100110.1051/itmconf/20150401001itmconf-wmls2014_01001Mathematical models of morphogenesisDilão RuiMorphogenesis 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.http://dx.doi.org/10.1051/itmconf/20150401001 |
| spellingShingle | Dilão Rui Mathematical models of morphogenesis ITM Web of Conferences |
| title | Mathematical models of morphogenesis |
| title_full | Mathematical models of morphogenesis |
| title_fullStr | Mathematical models of morphogenesis |
| title_full_unstemmed | Mathematical models of morphogenesis |
| title_short | Mathematical models of morphogenesis |
| title_sort | mathematical models of morphogenesis |
| url | http://dx.doi.org/10.1051/itmconf/20150401001 |
| work_keys_str_mv | AT dilaorui mathematicalmodelsofmorphogenesis |