{"status":"public","title":"Modeling adhesion-independent cell migration","quality_controlled":"1","date_created":"2020-03-31T11:25:05Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","oa":1,"scopus_import":"1","publisher":"World Scientific","issue":"3","publication_status":"published","date_published":"2020-03-18T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1903.09426"}],"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."}],"department":[{"_id":"MiSi"}],"day":"18","type":"journal_article","date_updated":"2023-08-18T10:18:56Z","article_processing_charge":"No","month":"03","isi":1,"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.","project":[{"_id":"25AD6156-B435-11E9-9278-68D0E5697425","name":"Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments","grant_number":"LS13-029"}],"volume":30,"intvolume":"        30","year":"2020","citation":{"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>.","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.","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>.","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>","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>","short":"G. Jankowiak, D. Peurichard, A. Reversat, C. Schmeiser, M.K. Sixt, Mathematical Models and Methods in Applied Sciences 30 (2020) 513–537."},"article_type":"original","_id":"7623","language":[{"iso":"eng"}],"author":[{"first_name":"Gaspard","last_name":"Jankowiak","full_name":"Jankowiak, Gaspard"},{"full_name":"Peurichard, Diane","last_name":"Peurichard","first_name":"Diane"},{"last_name":"Reversat","first_name":"Anne","full_name":"Reversat, Anne","id":"35B76592-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0666-8928"},{"full_name":"Schmeiser, Christian","last_name":"Schmeiser","first_name":"Christian"},{"id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87","full_name":"Sixt, Michael K","last_name":"Sixt","first_name":"Michael K","orcid":"0000-0002-6620-9179"}],"publication":"Mathematical Models and Methods in Applied Sciences","page":"513-537","doi":"10.1142/S021820252050013X","publication_identifier":{"issn":["02182025"]},"external_id":{"isi":["000525349900003"],"arxiv":["1903.09426"]}}