NDLI: Colloquium: Mechanical formalisms for tissue dynamics

Content Provider	Springer Nature Link
Author	Tlili, Sham Gay, Cyprien Graner, François Marcq, Philippe Moli, François Saramito, Pierre
Copyright Year	2015
Abstract	The understanding of morphogenesis in living organisms has been renewed by tremendous progress in experimental techniques that provide access to cell scale, quantitative information both on the shapes of cells within tissues and on the genes being expressed. This information suggests that our understanding of the respective contributions of gene expression and mechanics, and of their crucial entanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assist the design and interpretation of experiments, point out the main ingredients and assumptions, and ultimately lead to predictions. The newly accessible local information thus calls for a reflection on how to select suitable classes of mechanical models. We review both mechanical ingredients suggested by the current knowledge of tissue behaviour, and modelling methods that can help generate a rheological diagram or a constitutive equation. We distinguish cell scale (“intra-cell”) and tissue scale (“inter-cell”) contributions. We recall the mathematical framework developed for continuum materials and explain how to transform a constitutive equation into a set of partial differential equations amenable to numerical resolution. We show that when plastic behaviour is relevant, the dissipation function formalism appears appropriate to generate constitutive equations; its variational nature facilitates numerical implementation, and we discuss adaptations needed in the case of large deformations. The present article gathers theoretical methods that can readily enhance the significance of the data to be extracted from recent or future high throughput biomechanical experiments.
Starting Page	1
Ending Page	31
Page Count	31
File Format	PDF
ISSN	12928941
Journal	The European Physical Journal E
Volume Number	38
Issue Number	5
e-ISSN	1292895X
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-05-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Living systems: Biological Matter Soft and Granular Matter, Complex Fluids and Microfluidics Biophysics and Biological Physics Surfaces and Interfaces, Thin Films Nanotechnology Polymer Sciences Statistical Physics, Dynamical Systems and Complexity
Content Type	Text
Resource Type	Article
Subject	Chemistry Medicine Biophysics Materials Science Surfaces and Interfaces Biotechnology

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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