David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 48 (1):47-63 (2000)
A theoretical model is presented for pattern formation in an epithelium. The epithelial model consists of a thin, incompressible, viscoelastic membrane on an elastic foundation (substrate), with the component cells assumed to have active contractile properties similar to those of smooth muscle. The analysis includes the effects of large strains and material nonlinearity, and the governing equations were solved using finite differences. Deformation patterns form when the cells activate while lying on the descending limb of their total (active + passive) stress-stretch curve. Various one-dimensional and two-dimensional simulations illustrate the effects of spatial and temporal variations in passive stiffness, as well as the effects of foundation stiffness and stretch activation. The model can be used to examine the mechanical aspects of pattern formation in morphogenetic processes such as angiogenesis and myocardial trabeculation.
|Keywords||Philosophy Philosophy of Biology Evolutionary Biology|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Malcolm Maden (1993). The Effect of Vitamin a (Retinoids) on Pattern Formation Implies a Uniformity of Developmental Mechanisms Throughout the Animal Kingdom. Acta Biotheoretica 41 (4):425-445.
Philippe Tracqui & Jacques Ohayon (2004). Transmission of Mechanical Stresses Within the Cytoskeleton of Adherent Cells: A Theoretical Analysis Based on a Multi-Component Cell Model. Acta Biotheoretica 52 (4):323-341.
Loïc Forest & Jacques Demongeot (2008). A General Formalism for Tissue Morphogenesis Based on Cellular Dynamics and Control System Interactions. Acta Biotheoretica 56 (1):51-74.
M. A. J. Chaplain (1995). The Mathematical Modelling of Tumour Angiogenesis and Invasion. Acta Biotheoretica 43 (4):387-402.
Paco Lorente, Carmen Delgado, Mario Delmar & Jose Jalife (1992). Analytical Modeling of the Hysteresis Phenomenon in Guinea Pig Ventricular Myocytes. Acta Biotheoretica 40 (2-3):177-193.
Hisao Honda, Masaharu Tanemura & Akihiro Yoshida (2000). Differentiation of Wing Epidermal Scale Cells in a Butterfly Under the Lateral Inhibition Model - Appearance of Large Cells in a Polygonal Pattern. Acta Biotheoretica 48 (2):121-136.
Alexander Egoyan, Elastic Membrane Based Model of Human Perception. Toward a Science of Consciousness.
Rosine Chandebois (1977). Cell Sociology and the Problem of Position Effect: Pattern Formation, Origin and Role of Gradients. Acta Biotheoretica 26 (4):203-238.
D. Manoussaki, S. R. Lubkin, R. B. Vemon & J. D. Murray (1996). A Mechanical Model for the Formation of Vascular Networks in Vitro. Acta Biotheoretica 44 (3-4):271-282.
Added to index2009-01-28
Total downloads12 ( #205,927 of 1,726,249 )
Recent downloads (6 months)5 ( #147,227 of 1,726,249 )
How can I increase my downloads?