---
_id: '7623'
abstract:
- lang: eng
  text: A two-dimensional mathematical model for cells migrating without adhesion
    capabilities is presented and analyzed. Cells are represented by their cortex,
    which is modeled as an elastic curve, subject to an internal pressure force. Net
    polymerization or depolymerization in the cortex is modeled via local addition
    or removal of material, driving a cortical flow. The model takes the form of a
    fully nonlinear degenerate parabolic system. An existence analysis is carried
    out by adapting ideas from the theory of gradient flows. Numerical simulations
    show that these simple rules can account for the behavior observed in experiments,
    suggesting a possible mechanical mechanism for adhesion-independent motility.
acknowledgement: This work has been supported by the Vienna Science and Technology
  Fund, Grant no. LS13-029. G.J. and C.S. also acknowledge support by the Austrian
  Science Fund, Grants no. W1245, F 65, and W1261, as well as by the Fondation Sciences
  Mathématiques de Paris, and by Paris-Sciences-et-Lettres.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gaspard
  full_name: Jankowiak, Gaspard
  last_name: Jankowiak
- first_name: Diane
  full_name: Peurichard, Diane
  last_name: Peurichard
- first_name: Anne
  full_name: Reversat, Anne
  id: 35B76592-F248-11E8-B48F-1D18A9856A87
  last_name: Reversat
  orcid: 0000-0003-0666-8928
- first_name: Christian
  full_name: Schmeiser, Christian
  last_name: Schmeiser
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-6620-9179
citation:
  ama: Jankowiak G, Peurichard D, Reversat A, Schmeiser C, Sixt MK. Modeling adhesion-independent
    cell migration. <i>Mathematical Models and Methods in Applied Sciences</i>. 2020;30(3):513-537.
    doi:<a href="https://doi.org/10.1142/S021820252050013X">10.1142/S021820252050013X</a>
  apa: Jankowiak, G., Peurichard, D., Reversat, A., Schmeiser, C., &#38; Sixt, M.
    K. (2020). Modeling adhesion-independent cell migration. <i>Mathematical Models
    and Methods in Applied Sciences</i>. World Scientific. <a href="https://doi.org/10.1142/S021820252050013X">https://doi.org/10.1142/S021820252050013X</a>
  chicago: Jankowiak, Gaspard, Diane Peurichard, Anne Reversat, Christian Schmeiser,
    and Michael K Sixt. “Modeling Adhesion-Independent Cell Migration.” <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific, 2020. <a href="https://doi.org/10.1142/S021820252050013X">https://doi.org/10.1142/S021820252050013X</a>.
  ieee: G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, and M. K. Sixt, “Modeling
    adhesion-independent cell migration,” <i>Mathematical Models and Methods in Applied
    Sciences</i>, vol. 30, no. 3. World Scientific, pp. 513–537, 2020.
  ista: Jankowiak G, Peurichard D, Reversat A, Schmeiser C, Sixt MK. 2020. Modeling
    adhesion-independent cell migration. Mathematical Models and Methods in Applied
    Sciences. 30(3), 513–537.
  mla: Jankowiak, Gaspard, et al. “Modeling Adhesion-Independent Cell Migration.”
    <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 30, no. 3, World
    Scientific, 2020, pp. 513–37, doi:<a href="https://doi.org/10.1142/S021820252050013X">10.1142/S021820252050013X</a>.
  short: G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, M.K. Sixt, Mathematical
    Models and Methods in Applied Sciences 30 (2020) 513–537.
date_created: 2020-03-31T11:25:05Z
date_published: 2020-03-18T00:00:00Z
date_updated: 2023-08-18T10:18:56Z
day: '18'
department:
- _id: MiSi
doi: 10.1142/S021820252050013X
external_id:
  arxiv:
  - '1903.09426'
  isi:
  - '000525349900003'
intvolume: '        30'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1903.09426
month: '03'
oa: 1
oa_version: Preprint
page: 513-537
project:
- _id: 25AD6156-B435-11E9-9278-68D0E5697425
  grant_number: LS13-029
  name: Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  issn:
  - '02182025'
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modeling adhesion-independent cell migration
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 30
year: '2020'
...
---
_id: '727'
abstract:
- lang: eng
  text: 'Actin filaments polymerizing against membranes power endocytosis, vesicular
    traffic, and cell motility. In vitro reconstitution studies suggest that the structure
    and the dynamics of actin networks respond to mechanical forces. We demonstrate
    that lamellipodial actin of migrating cells responds to mechanical load when membrane
    tension is modulated. In a steady state, migrating cell filaments assume the canonical
    dendritic geometry, defined by Arp2/3-generated 70° branch points. Increased tension
    triggers a dense network with a broadened range of angles, whereas decreased tension
    causes a shift to a sparse configuration dominated by filaments growing perpendicularly
    to the plasma membrane. We show that these responses emerge from the geometry
    of branched actin: when load per filament decreases, elongation speed increases
    and perpendicular filaments gradually outcompete others because they polymerize
    the shortest distance to the membrane, where they are protected from capping.
    This network-intrinsic geometrical adaptation mechanism tunes protrusive force
    in response to mechanical load.'
acknowledged_ssus:
- _id: ScienComp
article_processing_charge: No
author:
- first_name: Jan
  full_name: Mueller, Jan
  last_name: Mueller
- first_name: Gregory
  full_name: Szep, Gregory
  id: 4BFB7762-F248-11E8-B48F-1D18A9856A87
  last_name: Szep
- first_name: Maria
  full_name: Nemethova, Maria
  id: 34E27F1C-F248-11E8-B48F-1D18A9856A87
  last_name: Nemethova
- first_name: Ingrid
  full_name: De Vries, Ingrid
  id: 4C7D837E-F248-11E8-B48F-1D18A9856A87
  last_name: De Vries
- first_name: Arnon
  full_name: Lieber, Arnon
  last_name: Lieber
- first_name: Christoph
  full_name: Winkler, Christoph
  last_name: Winkler
- first_name: Karsten
  full_name: Kruse, Karsten
  last_name: Kruse
- first_name: John
  full_name: Small, John
  last_name: Small
- first_name: Christian
  full_name: Schmeiser, Christian
  last_name: Schmeiser
- first_name: Kinneret
  full_name: Keren, Kinneret
  last_name: Keren
- first_name: Robert
  full_name: Hauschild, Robert
  id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87
  last_name: Hauschild
  orcid: 0000-0001-9843-3522
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-6620-9179
citation:
  ama: Mueller J, Szep G, Nemethova M, et al. Load adaptation of lamellipodial actin
    networks. <i>Cell</i>. 2017;171(1):188-200. doi:<a href="https://doi.org/10.1016/j.cell.2017.07.051">10.1016/j.cell.2017.07.051</a>
  apa: Mueller, J., Szep, G., Nemethova, M., de Vries, I., Lieber, A., Winkler, C.,
    … Sixt, M. K. (2017). Load adaptation of lamellipodial actin networks. <i>Cell</i>.
    Cell Press. <a href="https://doi.org/10.1016/j.cell.2017.07.051">https://doi.org/10.1016/j.cell.2017.07.051</a>
  chicago: Mueller, Jan, Gregory Szep, Maria Nemethova, Ingrid de Vries, Arnon Lieber,
    Christoph Winkler, Karsten Kruse, et al. “Load Adaptation of Lamellipodial Actin
    Networks.” <i>Cell</i>. Cell Press, 2017. <a href="https://doi.org/10.1016/j.cell.2017.07.051">https://doi.org/10.1016/j.cell.2017.07.051</a>.
  ieee: J. Mueller <i>et al.</i>, “Load adaptation of lamellipodial actin networks,”
    <i>Cell</i>, vol. 171, no. 1. Cell Press, pp. 188–200, 2017.
  ista: Mueller J, Szep G, Nemethova M, de Vries I, Lieber A, Winkler C, Kruse K,
    Small J, Schmeiser C, Keren K, Hauschild R, Sixt MK. 2017. Load adaptation of
    lamellipodial actin networks. Cell. 171(1), 188–200.
  mla: Mueller, Jan, et al. “Load Adaptation of Lamellipodial Actin Networks.” <i>Cell</i>,
    vol. 171, no. 1, Cell Press, 2017, pp. 188–200, doi:<a href="https://doi.org/10.1016/j.cell.2017.07.051">10.1016/j.cell.2017.07.051</a>.
  short: J. Mueller, G. Szep, M. Nemethova, I. de Vries, A. Lieber, C. Winkler, K.
    Kruse, J. Small, C. Schmeiser, K. Keren, R. Hauschild, M.K. Sixt, Cell 171 (2017)
    188–200.
date_created: 2018-12-11T11:48:10Z
date_published: 2017-09-21T00:00:00Z
date_updated: 2023-09-28T11:33:49Z
day: '21'
department:
- _id: MiSi
- _id: Bio
doi: 10.1016/j.cell.2017.07.051
ec_funded: 1
external_id:
  isi:
  - '000411331800020'
intvolume: '       171'
isi: 1
issue: '1'
language:
- iso: eng
month: '09'
oa_version: None
page: 188 - 200
project:
- _id: 25AD6156-B435-11E9-9278-68D0E5697425
  grant_number: LS13-029
  name: Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments
- _id: 25A603A2-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '281556'
  name: Cytoskeletal force generation and force transduction of migrating leukocytes
    (EU)
publication: Cell
publication_identifier:
  issn:
  - '00928674'
publication_status: published
publisher: Cell Press
publist_id: '6951'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Load adaptation of lamellipodial actin networks
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 171
year: '2017'
...