Modelling of in vivo calcium metabolism. II. minimal structure or maximum dynamic diversity: The interplay of biological constraints
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 40 (2-3) (1992)
The temporal behaviour of the nonlinear compartmental model we have developed for rat calcium metabolism is discussed with respect to the theoretical properties of the self-oscillating autocatalytic subunit around which the model is constructed. Depending on the approximations made, this subunit is described by a minimal two-variable model, SU2, or by a three-variable one, SU3. The diversity of the theoretical dynamic behaviours possible with SU2 is greatly increased with SU3. But the identification of SU3 parameter values in three different experimental situations reveals that biological constraints efficiently preserve a simple circadian rhythm for bone metabolism. This analysis indicates the significant contribution of the available bone crystal pool to the dynamic organization of this tissue, and hence to extracellular calcium homeostasis.
|Keywords||No keywords specified (fix it)|
|Categories||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
I. Ferrenq, L. Tranqui, B. Vailhé, P. Y. Gumery & P. Tracqui (1997). Modelling Biological Gel Contraction by Cells: Mechanocellular Formulation and Cell Traction Force Quantification. Acta Biotheoretica 45 (3-4).
David Fernández-Duque (2011). Dynamic Topological Logic Interpreted Over Minimal Systems. Journal of Philosophical Logic 40 (6):767-804.
Keith Davids & Simon Bennett (1998). The Dynamical Hypothesis: The Role of Biological Constraints on Cognition. Behavioral and Brain Sciences 21 (5):636-636.
Christian Brière (1994). Dynamics of the Goodwin-Trainor Mechanochemical Model. Acta Biotheoretica 42 (2-3).
Etienne Roux, Penelope J. Noble, Jean-Marc Hyvelin & Denis Noble (2001). Modelling of Ca2+-Activated Chloride Current in Tracheal Smooth Muscle Cells. Acta Biotheoretica 49 (4).
P. Tracqui (1994). Organizing Centres and Symbolic Dynamic in the Study of Mixed-Mode Oscillations Generated by Models of Biological Autocatalytic Processes. Acta Biotheoretica 42 (2-3).
Audrey Pustoc'H., Jacques Ohayon, Yves Usson, Alain Kamgoue & Philippe Tracqui (2005). An Integrative Model of the Self-Sustained Oscillating Contractions of Cardiac Myocytes. Acta Biotheoretica 53 (4).
Agnès Aubert, Robert Costalat & Romain Valabrègue (2001). Modelling of the Coupling Between Brain Electrical Activity and Metabolism. Acta Biotheoretica 49 (4).
B. Courtin, A. -M. Perault-Staub & J. -F. Staub (1995). Spatio-Temporal Self-Organization of Bone Mineral Metabolism and Trabecular Structure of Primary Bone. Acta Biotheoretica 43 (4).
Added to index2009-01-28
Total downloads2 ( #314,240 of 1,096,265 )
Recent downloads (6 months)1 ( #218,857 of 1,096,265 )
How can I increase my downloads?