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arxiv: physics/0002050 · v1 · submitted 2000-02-28 · ⚛️ physics.bio-ph · cond-mat· nlin.PS· physics.chem-ph· q-bio

Scaling in dynamical Turing pattern formation: density of defects frozen into permanent patterns

classification ⚛️ physics.bio-ph cond-matnlin.PSphysics.chem-phq-bio
keywords patterndefectsturingdensityfrozenactivationbiologicalcells
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We estimate density of defects frozen into a biological Turing pattern which was turned on at a finite rate. A self-locking of gene expression in individual cells, which makes the Turing transition discontinuous, stabilizes the pattern together with its defects. A defect-free pattern can be obtained by spatially inhomogeneous activation of the genes.

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