Abstract
Near a bifurcation point, the response time of a system is expected to diverge due to the phenomenon of critical slowing down. We investigate critical slowing down in well-mixed stochastic models of biochemical feedback by exploiting a mapping to the mean-field Ising universality class. We analyze the responses to a sudden quench and to continuous driving in the model parameters. In the latter case, we demonstrate that our class of models exhibits the Kibble-Zurek collapse, which predicts the scaling of hysteresis in cellular responses to gradual perturbations. We discuss the implications of our results in terms of the tradeoff between a precise and a fast response. Finally, we use our mapping to quantify critical slowing down in T cells, where the addition of a drug is equivalent to a sudden quench in parameter space.
| Original language | American English |
|---|---|
| Article number | 022415 |
| Journal | Physical Review E |
| Volume | 100 |
| Issue number | 2 |
| DOIs | |
| State | Published - 26 Aug 2019 |
| Externally published | Yes |
Bibliographical note
Funding Information:We thank Anushya Chandran for helpful communications. This work was supported by Simons Foundation Grant No. 376198 (T.A.B. and A.M.), Human Frontier Science Program Grant No. LT000123/2014 (Amir Erez), National Science Foundation Research Experiences for Undergraduates Grant No. PHY-1460899 (C.P.), National Institutes of Health (NIH) Grants No. R01 GM082938 (A.E.) and No. R01 AI083408 (A.E., R.V., and G.A.-B), and the NIH National Cancer Institute Intramural Research programs of the Center for Cancer Research (A.E. and G.A.-B.).
Publisher Copyright:
© 2019 American Physical Society.