@article{12277,
  abstract     = {Cell migration in confining physiological environments relies on the concerted dynamics of several cellular components, including protrusions, adhesions with the environment, and the cell nucleus. However, it remains poorly understood how the dynamic interplay of these components and the cell polarity determine the emergent migration behavior at the cellular scale. Here, we combine data-driven inference with a mechanistic bottom-up approach to develop a model for protrusion and polarity dynamics in confined cell migration, revealing how the cellular dynamics adapt to confining geometries. Specifically, we use experimental data of joint protrusion-nucleus migration trajectories of cells on confining micropatterns to systematically determine a mechanistic model linking the stochastic dynamics of cell polarity, protrusions, and nucleus. This model indicates that the cellular dynamics adapt to confining constrictions through a switch in the polarity dynamics from a negative to a positive self-reinforcing feedback loop. Our model further reveals how this feedback loop leads to stereotypical cycles of protrusion-nucleus dynamics that drive the migration of the cell through constrictions. These cycles are disrupted upon perturbation of cytoskeletal components, indicating that the positive feedback is controlled by cellular migration mechanisms. Our data-driven theoretical approach therefore identifies polarity feedback adaptation as a key mechanism in confined cell migration.},
  author       = {Brückner, David and Schmitt, Matthew and Fink, Alexandra and Ladurner, Georg and Flommersfeld, Johannes and Arlt, Nicolas and Hannezo, Edouard B and Rädler, Joachim O. and Broedersz, Chase P.},
  issn         = {2160-3308},
  journal      = {Physical Review X},
  keywords     = {General Physics and Astronomy},
  number       = {3},
  publisher    = {American Physical Society},
  title        = {{Geometry adaptation of protrusion and polarity dynamics in confined cell migration}},
  doi          = {10.1103/physrevx.12.031041},
  volume       = {12},
  year         = {2022},
}

@article{7570,
  abstract     = {The relaxation of few-body quantum systems can strongly depend on the initial state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic motion coexist with regular islands. In recent years, there has been much effort to understand the process of thermalization in strongly interacting quantum systems that often lack an obvious semiclassical limit. The time-dependent variational principle (TDVP) allows one to systematically derive an effective classical (nonlinear) dynamical system by projecting unitary many-body dynamics onto a manifold of weakly entangled variational states. We demonstrate that such dynamical systems generally possess mixed phase space. When TDVP errors are small, the mixed phase space leaves a footprint on the exact dynamics of the quantum model. For example, when the system is initialized in a state belonging to a stable periodic orbit or the surrounding regular region, it exhibits persistent many-body quantum revivals. As a proof of principle, we identify new types of “quantum many-body scars,” i.e., initial states that lead to long-time oscillations in a model of interacting Rydberg atoms in one and two dimensions. Intriguingly, the initial states that give rise to most robust revivals are typically entangled states. On the other hand, even when TDVP errors are large, as in the thermalizing tilted-field Ising model, initializing the system in a regular region of phase space leads to a surprising slowdown of thermalization. Our work establishes TDVP as a method for identifying interacting quantum systems with anomalous dynamics in arbitrary dimensions. Moreover, the mixed phase space classical variational equations allow one to find slowly thermalizing initial conditions in interacting models. Our results shed light on a link between classical and quantum chaos, pointing toward possible extensions of the classical Kolmogorov-Arnold-Moser theorem to quantum systems.},
  author       = {Michailidis, Alexios and Turner, C. J. and Papić, Z. and Abanin, D. A. and Serbyn, Maksym},
  issn         = {2160-3308},
  journal      = {Physical Review X},
  number       = {1},
  publisher    = {American Physical Society},
  title        = {{Slow quantum thermalization and many-body revivals from mixed phase space}},
  doi          = {10.1103/physrevx.10.011055},
  volume       = {10},
  year         = {2020},
}