Projects
Reaction-Diffusion
Letterforms created through simulations based on ideas from Alan Turing’s seminal paper ‘The chemical basis of morphogenesis’.
“One of the fundamental questions in developmental biology is how the vast range of pattern and structure we observe in nature emerges from an almost uniformly homogeneous fertilized egg. In particular, the mechanisms by which biological systems maintain robustness, despite being subject to numerous sources of noise, are shrouded in mystery.”
http://rsfs.royalsocietypublishing.org/content/2/4/487
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Rearrangement of the stripe pattern of Pomocanthus imperator with accompanying computer simulations. Reproduced with permission from Macmillan Publishers Ltd: Kondo & Asai. Copyright ©1995. http://rsfs.royalsocietypublishing.org/content/2/4/487
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Turing patterns produced through simulating the Schnakenberg kinetics, system (2.5). (a) One-dimensional simulations. (i) Final steady state of u after 1000 simulated time units. (ii) Temporal evolution. (b) Two-dimensional simulation. (i) Final steady state of u after 1000 simulated time units. (ii) Final steady state of v after 1000 simulated time units. The parameters are Du = 1, Dv = 40, c1 = 0.1, c2 = 0.9, c−1 = 1 and c3 = 1. The simulations have zero-flux boundary conditions. This means that none of the chemicals can diffuse out of the domain, i.e. the boundaries are impermeable. The initial conditions are random perturbations about the homogeneous steady state. http://rsfs.royalsocietypublishing.org/content/2/4/487
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