Mathematical modeling of skin pigmentation patterns in Pseudoplatystoma
Posted: 16 Apr 2016, 21:24
Aldo Ledesma-Durán, L. Héctor Juárez-Valencia, & Iván Santamaría-Holek. 2016. Reaction diffusion patterns in Pseudoplatystoma fishes. arXiv preprint arXiv:1601.00705.
I bet this principle can also be applied to the crazy variety of striped Hypans and some of the corys too.
ABSTRACT
This paper studies how patterns derived from a system of reaction-diffusion equations may vary significantly depending on boundary and initial conditions, as well as in the spatial dependence of the coefficients involved. From an extensive numerical study of the BVAM model, we demonstrate that the geometric pattern of a reaction diffusion system is not uniquely determined by the value of the parameters in the equation. From this result, we suggest that the variability of patterns among individuals of the same specie may have its roots in this sensitivity. Furthermore, this study analyzes briefly how the inclusion of the advection and the space dependency in the parameters of the model influences the forms of a specific pattern. The results of this study are compared to the skin patterns that appear in Pseudoplatystoma fishes.
- Keywords Reaction-diffusion pattern · Advection · Boundary and initial conditions · Pseudoplatystoma fish