Adaptive Temperature Compensation in Circadian Oscillations
Figure 4
Scaling of the limit cycle for first evolved model.
(A) Sketch of the model. Parameters and equations are given in Supplementary Text S1 (B) Variation of the period with input level demonstrating compensation. (C) limit cycle for different values of the input in space. Limit cycle varies over almost one order of magnitude in
while the period changes by
. The input values follow the color bar in F. (D) Rescaling the limit cycles to the unit interval in each variable shows almost perfect collapse for different input values. Circles indicate the fixed point. (E) PRC for different input values, represented by different colors. The PRC was computed by adding a degradation term of
for
for
of the period. (F)
as a function of phase for the limit cycle at different temperatures. The maximum of
is defined as phase
for the PRC. There is almost perfect overlap. Panels D–F here and the following figure, demonstrate our contention that the evolved models replicate essential properties of the Goodwin model even though there is no direct parameter rescaling.