Therefore, we use the finite difference method to carry out the Turing pattern simulations through MATLAB28 (detailed formula derivation and parameter setting are shown in the Supplementary Note 1. Numerical Simulation in Supplementary Information). We are now in a position to examine patterns ...
We performed our computations using Matlab 7 software on a Pentium IV, 2800 MHz CPU machine with 2 Gbyte of memory. 6.1. Test problem 1 In this example, we consider the Allen–Cahn equation as follows [13](6.1)∂u(x,y,z,t)∂t=∇2u(x,y,z,t)−1ε2f(u(x,y,z,t)),(...
To eliminate such small islands, we first labelled all separate objects with the MATLAB function bwlabeln and the object with the largest area was selected. We then extracted the border of the epithelium with the MATLAB function bwboundaries (Fig. 2b). Finally the extracted border was approximated...