David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 26 (3):164-180 (1977)
In this paper we try to answer the question whether diffusion is a possible mechanism to explain mesoderm induction in Amphibians. First the embryological data are discussed and a hypothesis for mesoderm formation is set forth. The blastula being essentially a hollow sphere, we assume that the induction mechanism in an embryo at the blastula stage can be simulated by diffusion-reaction processes on spherical surfaces. A model is constructed for the simple case when the source is held constant with respect to time, the decay proportional to the concentration and the diffusion coefficient a constant, From simulation we find a (best) value for the decay constant to be 6 × 10–5/sec and for the diffusion constant to be 0.24 × 10– 6 cm2/sec. The relation between the parameters is derived from an analytic solution for the diffusion process on a spherical surface with a continuously producing point source and the concentration proportional to the decay. The form and regulative properties of the steady concentration gradient are discussed.
|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
Pedrito Maynard-Reid II & Yoav Shoham (2001). Belief Fusion: Aggregating Pedigreed Belief States. [REVIEW] Journal of Logic, Language and Information 10 (2):183-209.
Pedrito Maynard-Reid & Yoav Shoham (2001). Belief Fusion: Aggregating Pedigreed Belief States. Journal of Logic, Language and Information 10 (2):183-209.
Maria J. Montes-Sancho (2011). An Institutional Perspective on the Diffusion of International Management System Standards. Business Ethics Quarterly 21 (1):103-132.
P. T. (2002). Quantum State Diffusion - Ian Percival, Quantum State Diffusion, Cambridge University Press, Cambridge, 1998. [REVIEW] Studies in History and Philosophy of Science Part B 33 (4):707-716.
Timothy P. Spiller (2002). Quantum State Diffusion. [REVIEW] Studies in History and Philosophy of Science Part B 33 (4):707-716.
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):373-386.
M. A. J. Chaplain (1995). The Mathematical Modelling of Tumour Angiogenesis and Invasion. Acta Biotheoretica 43 (4):387-402.
Nicolas Glade, Jacques Demongeot & James Tabony (2002). Numerical Simulations of Microtubule Self-Organisation by Reaction and Diffusion. Acta Biotheoretica 50 (4):239-268.
Michael R. Dietrich (1996). Monte Carlo Experiments and the Defense of Diffusion Models in Molecular Population Genetics. Biology and Philosophy 11 (3):339-356.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #499,539 of 1,410,432 )
Recent downloads (6 months)1 ( #177,872 of 1,410,432 )
How can I increase my downloads?