Pattern production through a chiral chasing mechanism.

摘要: Recent experiments on zebrafish pigmentation suggests that their typical black and white striped skin pattern is made up of a number interacting chromatophore families. Specifically, two these cell families have been shown to interact through nonlocal chasing mechanism, which has previously modeled using integro-differential equations. We extend this framework include the experimentally observed fact cells often exhibit chiral movement, in chase, run away, at angles different line connecting centers. This simplified use multiple small limits leading coupled set partial differential equations are amenable Fourier analysis. analysis results production dispersion relations necessary conditions for patterning instability occur. Beyond theoretical development new planiforms we able corroborate experimental hypothesis global patterns can be dependent chirality chromatophores.