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- W57124197 abstract "Turing in 1952 proposed a mathematical model in which morphogenetic change occurs through the onset of thermodynamic instability. The major mechanism of transport in the model was diffusion. This led to a system of non-linear partial differential equations $$ frac{{partial {text{x}}}} {{partial {text{t}}}}, = ,mu ,nabla ^2 {text{x}},{text{ + }},{text{vx}} $$(1)where x(r¯,t) denotes the vector of change of chemical concentrations from an equilibrium point, V(x,r¯,t) is the reaction rate in the cell at position r¯, and µ is the diffusion constant. This was applied to a one-dimensional homogeneous ring to show how symmetry will naturally break down by the onset of instability." @default.
- W57124197 created "2016-06-24" @default.
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- W57124197 date "1974-01-01" @default.
- W57124197 modified "2023-09-26" @default.
- W57124197 title "A Model of Morphogenesis" @default.
- W57124197 doi "https://doi.org/10.1007/978-3-642-45455-4_18" @default.
- W57124197 hasPublicationYear "1974" @default.
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