Stochastic flows in integral and fractal dimensions and morphogenesis
Open Access
- 1 February 1981
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 78 (2) , 972-975
- https://doi.org/10.1073/pnas.78.2.972
Abstract
The effect of dimensionality and spatial extent on the dynamics of an irreversible reaction confined to a finite system was studied by a Monte Carlo simulation. Stochastic flows on surfaces of integral and fractal dimensions and the consequences of reducing the dimensionality of the reaction space are described. As regards the timing and efficiency of chemical reactions in small systems, our simulations show that placing the reactive site at a central location may be favored at an early stage of growth but, as the system evolves in size, a location on the boundary becomes favored. The possible relevance of these calculations to the problem of morphogenesis is brought out.Keywords
This publication has 1 reference indexed in Scilit:
- Spectator-ion effect on the passage of ions through membranes.Proceedings of the National Academy of Sciences, 1975