Data-driven discovery and parameter estimation of mathematical models in biological pattern formation
Fig 7
Turing mechanism and the analytical features.
(A) Relationship between analytical solution and predicted probability distribution. Probabilistic samplings of (fv, gv) (red) are mapped on the contour plot of analytically-obtained pattern characteristics (kmax and Dk. (B) Linear stability analysis of Turing pattern. The dispersion relation shows the relationship between the wavenumber k and the growth rate λ of its amplitude. kmax is the k when λ is at its maximum. Dk is calculated from kright and kleft, which are defined as the bounds on the range of k when λ is positive [20].