[{"year":"2020","oa_version":"Preprint","article_type":"original","publication_identifier":{"issn":["02182025"]},"scopus_import":"1","external_id":{"isi":["000525349900003"],"arxiv":["1903.09426"]},"date_updated":"2023-08-18T10:18:56Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"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.","lang":"eng"}],"_id":"7623","date_published":"2020-03-18T00:00:00Z","article_processing_charge":"No","issue":"3","arxiv":1,"volume":30,"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1903.09426","open_access":"1"}],"publication_status":"published","author":[{"full_name":"Jankowiak, Gaspard","first_name":"Gaspard","last_name":"Jankowiak"},{"last_name":"Peurichard","full_name":"Peurichard, Diane","first_name":"Diane"},{"orcid":"0000-0003-0666-8928","id":"35B76592-F248-11E8-B48F-1D18A9856A87","full_name":"Reversat, Anne","first_name":"Anne","last_name":"Reversat"},{"first_name":"Christian","full_name":"Schmeiser, Christian","last_name":"Schmeiser"},{"orcid":"0000-0002-6620-9179","id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87","full_name":"Sixt, Michael K","first_name":"Michael K","last_name":"Sixt"}],"type":"journal_article","day":"18","title":"Modeling adhesion-independent cell migration","citation":{"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.","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>."},"doi":"10.1142/S021820252050013X","language":[{"iso":"eng"}],"project":[{"_id":"25AD6156-B435-11E9-9278-68D0E5697425","name":"Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments","grant_number":"LS13-029"}],"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.","date_created":"2020-03-31T11:25:05Z","month":"03","page":"513-537","intvolume":"        30","status":"public","publication":"Mathematical Models and Methods in Applied Sciences","department":[{"_id":"MiSi"}],"quality_controlled":"1","isi":1,"publisher":"World Scientific"},{"page":"188 - 200","month":"09","date_created":"2018-12-11T11:48:10Z","publisher":"Cell Press","isi":1,"publication":"Cell","department":[{"_id":"MiSi"},{"_id":"Bio"}],"quality_controlled":"1","intvolume":"       171","status":"public","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>","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.","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>.","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."},"ec_funded":1,"title":"Load adaptation of lamellipodial actin networks","day":"21","type":"journal_article","author":[{"full_name":"Mueller, Jan","first_name":"Jan","last_name":"Mueller"},{"full_name":"Szep, Gregory","first_name":"Gregory","last_name":"Szep","id":"4BFB7762-F248-11E8-B48F-1D18A9856A87"},{"id":"34E27F1C-F248-11E8-B48F-1D18A9856A87","first_name":"Maria","full_name":"Nemethova, Maria","last_name":"Nemethova"},{"first_name":"Ingrid","full_name":"De Vries, Ingrid","last_name":"De Vries","id":"4C7D837E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Lieber","first_name":"Arnon","full_name":"Lieber, Arnon"},{"last_name":"Winkler","full_name":"Winkler, Christoph","first_name":"Christoph"},{"last_name":"Kruse","first_name":"Karsten","full_name":"Kruse, Karsten"},{"full_name":"Small, John","first_name":"John","last_name":"Small"},{"first_name":"Christian","full_name":"Schmeiser, Christian","last_name":"Schmeiser"},{"full_name":"Keren, Kinneret","first_name":"Kinneret","last_name":"Keren"},{"last_name":"Hauschild","full_name":"Hauschild, Robert","first_name":"Robert","orcid":"0000-0001-9843-3522","id":"4E01D6B4-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Sixt","full_name":"Sixt, Michael K","first_name":"Michael K","id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6620-9179"}],"project":[{"_id":"25AD6156-B435-11E9-9278-68D0E5697425","name":"Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments","grant_number":"LS13-029"},{"grant_number":"281556","name":"Cytoskeletal force generation and force transduction of migrating leukocytes (EU)","call_identifier":"FP7","_id":"25A603A2-B435-11E9-9278-68D0E5697425"}],"language":[{"iso":"eng"}],"doi":"10.1016/j.cell.2017.07.051","article_processing_charge":"No","issue":"1","_id":"727","abstract":[{"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.","lang":"eng"}],"date_published":"2017-09-21T00:00:00Z","publication_status":"published","volume":171,"publist_id":"6951","year":"2017","oa_version":"None","scopus_import":"1","external_id":{"isi":["000411331800020"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_updated":"2023-09-28T11:33:49Z","acknowledged_ssus":[{"_id":"ScienComp"}],"publication_identifier":{"issn":["00928674"]}}]