- Tytuł:
- Evolving morphogenetic fields in the zebra skin pattern based on Turings morphogen hypothesis
- Autorzy:
-
Gravan, C. P.
Lahoz-Beltra, R. - Powiązania:
- https://bibliotekanauki.pl/articles/907636.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
pole morfogenetyczne
model reakcji-dyfuzji
automat komórkowy
mammalian coat pattern
morphogenetic field
Turing reaction-diffusion
evolving cellular automata
developmental models
modeling biological structures - Opis:
- One of the classical problems of morphogenesis is to explain how patterns of different animals evolved resulting in a consolidated and stable pattern generation after generation. In this paper we simulated the evolution of two hypothetical morphogens, or proteins, that diffuse across a grid modeling the zebra skin pattern in an embryonic state, composed of pigmented and nonpigmented cells. The simulation experiments were carried out applying a genetic algorithm to the Young cellular automaton: a discrete version of the reaction-diffusion equations proposed by Turing in 1952. In the simulation experiments we searched for proper parameter values of two hypothetical proteins playing the role of activator and inhibitor morphogens. Our results show that on molecular and cellular levels recombination is the genetic mechanism that plays the key role in morphogen evolution, obtaining similar results in the presence or absence of mutation. However, spot patterns appear more often than stripe patterns on the simulated skin of zebras. Even when simulation results are consistent with the general picture of pattern modeling and simulation based on the Turing reaction-diffusion, we conclude that the stripe pattern of zebras may be a result of other biological features (i.e., genetic interactions, the Kipling hypothesis) not included in the present model.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2004, 14, 3; 351-361
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł