Geodesic
Modelling the tissue growth with the possibility of external influence on tissue shape
Prikladnaâ diskretnaâ matematika, no. 4 (2013), pp. 103-113.

Voir la notice de l'article provenant de la source Math-Net.Ru

The imitation model of morphogenesis is constructed; its formalism includes the external influence on the shape of cell clusters in the form of the stream of signalling molecules across the border of these clusters. This model uses only the universal parameters, which are guaranteed to have biological meaning, as well as the possibility of the use in the models of morphogenesis based on differential equations.
Keywords: multicellular organisms, morphogenesis, discrete models, controllable tissue formation. 
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     title = {Modelling the tissue growth with the possibility of external influence on tissue shape},
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M. N. Nazarov. Modelling the tissue growth with the possibility of external influence on tissue shape. Prikladnaâ diskretnaâ matematika, no. 4 (2013), pp. 103-113. http://geodesic.mathdoc.fr/item/PDM_2013_4_a10/

[1] Xu F., Sridharan B., et al., “Embryonic stem cell bioprinting for uniform and controlled size embryoid body formation”, Biomicrofluidics, 5:2 (2011), 022207 | DOI

[2] Belousov L. V., Osnovy obschei embriologii, Izd-vo Mosk. un-ta, M., 2005, 368 pp.

[3] Korochkin L. I., Biologiya individualnogo razvitiya (geneticheskii aspekt), Izd-vo Mosk. un-ta, M., 2003, 400 pp.

[4] Bykov V. L., Tsitologiya i obschaya gistologiya (funktsionalnaya morfologiya kletok i tkanei cheloveka), SOTIS, SPb., 2002, 520 pp.

[5] Baker M., “Tissue models: A living system on a chip”, Nature, 471:7340 (2011), 661–665 | DOI

[6] Nazarov M. N., “O poiske universalnykh parametrov dlya modelei morfogeneza”, Vladikavkazskii matematicheskii zhurnal, 15:3 (2013), 58–66

[7] Bagorda A., Parent C. A., “Eukaryotic chemotaxis at a glance”, J. Cell Sci., 121 (2008), 2621–2624 | DOI

[8] Belousov L. V., “Morphomechanics: goals, basic experiments and models”, Int. J. Dev. Biol., 50:2 (2006), 81–92 | DOI