---
_id: '12277'
abstract:
- lang: eng
  text: 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.
acknowledgement: "We thank Grzegorz Gradziuk, StevenRiedijk, Janni Harju, and M. R.
  Schnucki for helpful discussions, and Andriy Goychuk for advice on the image segmentation.
  This project\r\nwas funded by the Deutsche Forschungsgemeinschaft (DFG, German Research
  Foundation), Project No. 201269156—SFB 1032 (Projects B01 and B12). D. B. B. is
  supported by the NOMIS Foundation and in part by a DFG fellowship within the Graduate
  School of Quantitative Biosciences Munich (QBM), as well as by the Joachim Herz
  Stiftung."
article_number: '031041'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: David
  full_name: Brückner, David
  id: e1e86031-6537-11eb-953a-f7ab92be508d
  last_name: Brückner
  orcid: 0000-0001-7205-2975
- first_name: Matthew
  full_name: Schmitt, Matthew
  last_name: Schmitt
- first_name: Alexandra
  full_name: Fink, Alexandra
  last_name: Fink
- first_name: Georg
  full_name: Ladurner, Georg
  last_name: Ladurner
- first_name: Johannes
  full_name: Flommersfeld, Johannes
  last_name: Flommersfeld
- first_name: Nicolas
  full_name: Arlt, Nicolas
  last_name: Arlt
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Joachim O.
  full_name: Rädler, Joachim O.
  last_name: Rädler
- first_name: Chase P.
  full_name: Broedersz, Chase P.
  last_name: Broedersz
citation:
  ama: Brückner D, Schmitt M, Fink A, et al. Geometry adaptation of protrusion and
    polarity dynamics in confined cell migration. <i>Physical Review X</i>. 2022;12(3).
    doi:<a href="https://doi.org/10.1103/physrevx.12.031041">10.1103/physrevx.12.031041</a>
  apa: Brückner, D., Schmitt, M., Fink, A., Ladurner, G., Flommersfeld, J., Arlt,
    N., … Broedersz, C. P. (2022). Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration. <i>Physical Review X</i>. American Physical
    Society. <a href="https://doi.org/10.1103/physrevx.12.031041">https://doi.org/10.1103/physrevx.12.031041</a>
  chicago: Brückner, David, Matthew Schmitt, Alexandra Fink, Georg Ladurner, Johannes
    Flommersfeld, Nicolas Arlt, Edouard B Hannezo, Joachim O. Rädler, and Chase P.
    Broedersz. “Geometry Adaptation of Protrusion and Polarity Dynamics in Confined
    Cell Migration.” <i>Physical Review X</i>. American Physical Society, 2022. <a
    href="https://doi.org/10.1103/physrevx.12.031041">https://doi.org/10.1103/physrevx.12.031041</a>.
  ieee: D. Brückner <i>et al.</i>, “Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration,” <i>Physical Review X</i>, vol. 12, no. 3.
    American Physical Society, 2022.
  ista: Brückner D, Schmitt M, Fink A, Ladurner G, Flommersfeld J, Arlt N, Hannezo
    EB, Rädler JO, Broedersz CP. 2022. Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration. Physical Review X. 12(3), 031041.
  mla: Brückner, David, et al. “Geometry Adaptation of Protrusion and Polarity Dynamics
    in Confined Cell Migration.” <i>Physical Review X</i>, vol. 12, no. 3, 031041,
    American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physrevx.12.031041">10.1103/physrevx.12.031041</a>.
  short: D. Brückner, M. Schmitt, A. Fink, G. Ladurner, J. Flommersfeld, N. Arlt,
    E.B. Hannezo, J.O. Rädler, C.P. Broedersz, Physical Review X 12 (2022).
date_created: 2023-01-16T10:02:06Z
date_published: 2022-09-20T00:00:00Z
date_updated: 2023-08-04T10:25:49Z
day: '20'
ddc:
- '530'
- '570'
department:
- _id: EdHa
doi: 10.1103/physrevx.12.031041
external_id:
  arxiv:
  - '2106.01014'
  isi:
  - '000861534700001'
file:
- access_level: open_access
  checksum: 40a8fbc3663bf07b37cb80020974d40d
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-30T11:07:27Z
  date_updated: 2023-01-30T11:07:27Z
  file_id: '12458'
  file_name: 2022_PhysicalReviewX_Brueckner.pdf
  file_size: 4686804
  relation: main_file
  success: 1
file_date_updated: 2023-01-30T11:07:27Z
has_accepted_license: '1'
intvolume: '        12'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometry adaptation of protrusion and polarity dynamics in confined cell migration
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2022'
...
---
_id: '7570'
abstract:
- lang: eng
  text: 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.
article_number: '011055'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexios
  full_name: Michailidis, Alexios
  id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
  last_name: Michailidis
  orcid: 0000-0002-8443-1064
- first_name: C. J.
  full_name: Turner, C. J.
  last_name: Turner
- first_name: Z.
  full_name: Papić, Z.
  last_name: Papić
- first_name: D. A.
  full_name: Abanin, D. A.
  last_name: Abanin
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Slow quantum thermalization
    and many-body revivals from mixed phase space. <i>Physical Review X</i>. 2020;10(1).
    doi:<a href="https://doi.org/10.1103/physrevx.10.011055">10.1103/physrevx.10.011055</a>
  apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., &#38; Serbyn, M.
    (2020). Slow quantum thermalization and many-body revivals from mixed phase space.
    <i>Physical Review X</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevx.10.011055">https://doi.org/10.1103/physrevx.10.011055</a>
  chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym
    Serbyn. “Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space.”
    <i>Physical Review X</i>. American Physical Society, 2020. <a href="https://doi.org/10.1103/physrevx.10.011055">https://doi.org/10.1103/physrevx.10.011055</a>.
  ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Slow
    quantum thermalization and many-body revivals from mixed phase space,” <i>Physical
    Review X</i>, vol. 10, no. 1. American Physical Society, 2020.
  ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Slow quantum
    thermalization and many-body revivals from mixed phase space. Physical Review
    X. 10(1), 011055.
  mla: Michailidis, Alexios, et al. “Slow Quantum Thermalization and Many-Body Revivals
    from Mixed Phase Space.” <i>Physical Review X</i>, vol. 10, no. 1, 011055, American
    Physical Society, 2020, doi:<a href="https://doi.org/10.1103/physrevx.10.011055">10.1103/physrevx.10.011055</a>.
  short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review
    X 10 (2020).
date_created: 2020-03-08T18:02:01Z
date_published: 2020-03-04T00:00:00Z
date_updated: 2023-08-18T07:01:07Z
day: '04'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevx.10.011055
external_id:
  arxiv:
  - '1905.08564'
  isi:
  - '000517969300001'
file:
- access_level: open_access
  checksum: 4b3f2c13873d35230173c73d0e11c408
  content_type: application/pdf
  creator: dernst
  date_created: 2020-03-12T12:13:07Z
  date_updated: 2020-07-14T12:48:00Z
  file_id: '7581'
  file_name: 2020_PhysicalReviewX_Michailidis.pdf
  file_size: 17828638
  relation: main_file
file_date_updated: 2020-07-14T12:48:00Z
has_accepted_license: '1'
intvolume: '        10'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/classical-physics-helps-predict-fate-of-interacting-quantum-systems/
scopus_import: '1'
status: public
title: Slow quantum thermalization and many-body revivals from mixed phase space
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2020'
...