Figure Caption
Mean-field approximation of the inferred Ising model.(A) Schematic view of the mean-field Ising model. (B) Examples of simulated ππΏ and ππ
signals of the mean-field dynamical equations for two sets of parameters that correspond to fish ID #5 at two water temperatures (22Β°C and 30Β°C), see Appendix 2βtable 2. (C) Free-energy landscapes in the (ππΏ,ππ
) plane computed with the mean-field model. These data correspond to the same sets of parameters as in panel (B). Colored circles denote metastable states, and the line of black arrows indicates the optimal path between (ππππ€,ππππ€) and (ππππ€,πβππβ) states. (D) Schematic view of the free energy along the ππ
axes. The arrows denote the energy barriers Ξβ± associated with the various transitions. The dark green arrow denotes Ξβ±((πβππβ,ππππ€)β(ππππ€,ππππ€)); the purple arrow denotes Ξβ±((ππππ€,ππππ€)β(πβππβ,ππππ€)). (E) Values of the free-energy barriers as a function of temperature. Error bars are standard error of the mean (32 recordings, n = 13 fish at 5 different water temperatures). (F) Persistence time of the mean-field anterior rhombencephalic turning region (ARTR) model for all fish and runs at different experimental temperatures. Each dot refers to one fish at one temperature; colors encode temperature.