---
_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'
...