David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 26 (3) (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).
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 ( #467,866 of 1,167,998 )
Recent downloads (6 months)1 ( #140,193 of 1,167,998 )
How can I increase my downloads?