Utility of constraints reflecting system stability on analyses for biological models
Fig 3
TEAPS search expands the basin stability during its process and found the parameter sets satisfying the BSR condition.
(A) Three basic models were used for implementation of the BSR. (B) The estimated basin stability was increased by individual optimization process (gL-BFGS) of searching parameter sets satisfying the BSR condition using the TEAPS search algorithm. (C–E) Comparison of the parameter distributions found by the TEAPS and the brute-force searches as histograms or multidimensional density profiles for the models T1 (C), T2 (D) and T3 (E). The parameter sets satisfying the BSR condition were searched by TEAPS (upper left) or by the brute-force search (upper right), and the histograms of the distribution of the found parameter sets were compared. Density profiles of the obtained parameter sets were compared following the kernel density estimation (middle left: TEAPS, middle right: brute-force search). Two density profiles were overlaid (bottom).