Table 1. Comparison of CICO and stepwise profile likelihood methods for the cancer taxol treatment model.
| LikelihoodProfiler (CICO) | Original Matlab (Stepwise PL) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Parameter | Lower Endpoint | Upper Endpoint | LF Calls (Lower) | LF Calls (Upper) | Time (sec) | Lower Endpoint | Upper Endpoint | LF Calls (Lower) | LF Calls (Upper) | Time (sec) |
| a0 | 6.76 | 17.3 | 285 | 601 | 2.79 | (7.9, 8.32)* | (17.05, 17.46)* | 285 | 1715 | 97.74 |
| ka | 4.99 | 10.73 | 522 | 349 | 3.26 | (4.86, 5.26)* | (10.52, 10.93)* | 682 | 670 | 75.16 |
| r0 | NI | 0.4 | 49 | 796 | 2.85 | NI | (0.36, 0.37)* | 1510 | 7475 | 531.96 |
| d0 | 0.19 | NI | 601 | 170 | 2.81 | (0.13, 0.2)* | NI | 1605 | >20000 | >1000 |
| kd | 50.51 | NI | 796 | 223 | 3.74 | (47.65, 53.61)* | NI | 930 | 12260 | 722.52 |
CI endpoints estimated with CICO and CIs’ estimates obtained in the original Matlab stepwise optimization-based implementation. The CI endpoints for original Matlab implementation are given as intervals
(*) because stepwise PL approach doesn’t estimate endpoints with any preset tolerance but marks two points before and after parameter’s profile intersects the threshold. NI stands for non-identifiable parameter. Elapsed time is measured by @time in Julia and tic toc in Matlab. Computations were performed on a standard desktop computer (2.30 GHz Intel Core i3 with 8 GB RAM).