The Kinematics of Biological Growth-Reference-Cited by-同舟云学术

The Kinematics of Biological Growth

Published:2009-03-31 Issue:3 Volume:62 Page:
ISSN:0003-6900
Container-title:Applied Mechanics Reviews
language:en
Short-container-title:

Author:

Garikipati K.¹

Affiliation:

1. Department of Mechanical Engineering, Michigan Center for Theoretical Physics, and Center for Computational Medicine and Biology, University of Michigan, 2350 Hayward Street, Ann Arbor, MI 48109-2125

Abstract

The kinematic aspects of biological growth models are reviewed by paying attention to the handful of crucial ideas on which modern treatments rest. Both surface and volumetric growth are considered. A critical appraisal is presented of the geometric and physical features of the models. Links are made to the mathematical treatment of growth and evolving interface phenomena in other physical problems. Computational issues are pointed out wherever appropriate.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/appliedmechanicsreviews/article-pdf/doi/10.1115/1.3090829/5442464/030801_1.pdf

Reference60 articles.

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2. A Continuum Treatment of Growth in Biological Tissue: Mass Transport Coupled With Mechanics;Garikipati;J. Mech. Phys. Solids

3. A Framework for Deformation, Generalized Diffusion, Mass Transfer and Growth in Multi-Species Multi-Phase Biological Tissues;Loret;Eur. J. Mech. A/Solids

4. The Role of Stress in the Growth of a Multicell Spheroid;Ambrosi;J. Math. Biol.

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