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  The emergence of complexity from a simple model for tissue growth

Dunlop, J. W. C., Zickler, G. A., Weinkamer, R., Fischer, F. D., & Fratzl, P. (2019). The emergence of complexity from a simple model for tissue growth. Journal of Statistical Physics. doi:10.1007/s10955-019-02461-7.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-61BA-C Version Permalink: http://hdl.handle.net/21.11116/0000-0005-61BB-B
Genre: Other

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 Creators:
Dunlop, J. W. C., Author
Zickler, G. A., Author
Weinkamer, Richard1, Author              
Fischer, F. D., Author
Fratzl, Peter2, Author              
Affiliations:
1Richard Weinkamer, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society, ou_1863295              
2Peter Fratzl, Biomaterialien, Max Planck Institute of Colloids and Interfaces, Max Planck Society, ou_1863294              

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Free keywords: Tissue growth; Phase separation; Precipitation; Surface tension; Wetting
 Abstract: The growth of living tissue is known to be modulated by mechanical as well as biochemical signals. We study a simple numerical model where the tissue growth rate depends on a chemical potential describing biochemical and mechanical driving forces in the material. In addition, the growing tissue is able to adhere to a three-dimensional surface and is subjected to surface tension where not adhering. We first show that this model belongs to a wider class of models describing particle growth during phase separation. We then analyse the predicted tissue shapes growing on a solid support corresponding to a cut hollow cylinder, which could be imagined as an idealized description of a broken long bone. We demonstrate the appearance of complex shapes described by Delauney surfaces and reminiscent of the shapes of callus appearing during bone healing. This complexity of shapes arises despite the extreme simplicity of the growth model, as a consequence of the three-dimensional boundary conditions imposed by the solid support.

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Language(s): eng - English
 Dates: 2019-12-14
 Publication Status: Published online
 Pages: -
 Publishing info: -
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 Rev. Method: -
 Identifiers: DOI: 10.1007/s10955-019-02461-7
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Title: Journal of Statistical Physics
Source Genre: Journal
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISBN: 1572-9613