--- _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 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. Mathematical Models and Methods in Applied Sciences. 2020;30(3):513-537. doi:10.1142/S021820252050013X apa: Jankowiak, G., Peurichard, D., Reversat, A., Schmeiser, C., & Sixt, M. K. (2020). Modeling adhesion-independent cell migration. Mathematical Models and Methods in Applied Sciences. World Scientific. https://doi.org/10.1142/S021820252050013X chicago: Jankowiak, Gaspard, Diane Peurichard, Anne Reversat, Christian Schmeiser, and Michael K Sixt. “Modeling Adhesion-Independent Cell Migration.” Mathematical Models and Methods in Applied Sciences. World Scientific, 2020. https://doi.org/10.1142/S021820252050013X. ieee: G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, and M. K. Sixt, “Modeling adhesion-independent cell migration,” Mathematical Models and Methods in Applied Sciences, 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.” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 3, World Scientific, 2020, pp. 513–37, doi:10.1142/S021820252050013X. 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' ...