[{"abstract":[{"lang":"eng","text":"Additional analyses of the trajectories"}],"day":"20","doi":"10.1021/jacs.9b13450.s001","type":"research_data_reference","date_published":"2020-05-20T00:00:00Z","year":"2020","citation":{"apa":"Gupta, C., Khaniya, U., Chan, C. K., Dehez, F., Shekhar, M., Gunner, M. R., … Singharoy, A. (2020). Supporting information. American Chemical Society . <a href=\"https://doi.org/10.1021/jacs.9b13450.s001\">https://doi.org/10.1021/jacs.9b13450.s001</a>","ama":"Gupta C, Khaniya U, Chan CK, et al. Supporting information. 2020. doi:<a href=\"https://doi.org/10.1021/jacs.9b13450.s001\">10.1021/jacs.9b13450.s001</a>","chicago":"Gupta, Chitrak, Umesh Khaniya, Chun Kit Chan, Francois Dehez, Mrinal Shekhar, M.R. Gunner, Leonid A Sazanov, Christophe Chipot, and Abhishek Singharoy. “Supporting Information.” American Chemical Society , 2020. <a href=\"https://doi.org/10.1021/jacs.9b13450.s001\">https://doi.org/10.1021/jacs.9b13450.s001</a>.","ieee":"C. Gupta <i>et al.</i>, “Supporting information.” American Chemical Society , 2020.","mla":"Gupta, Chitrak, et al. <i>Supporting Information</i>. American Chemical Society , 2020, doi:<a href=\"https://doi.org/10.1021/jacs.9b13450.s001\">10.1021/jacs.9b13450.s001</a>.","short":"C. Gupta, U. Khaniya, C.K. Chan, F. Dehez, M. Shekhar, M.R. Gunner, L.A. Sazanov, C. Chipot, A. Singharoy, (2020).","ista":"Gupta C, Khaniya U, Chan CK, Dehez F, Shekhar M, Gunner MR, Sazanov LA, Chipot C, Singharoy A. 2020. Supporting information, American Chemical Society , <a href=\"https://doi.org/10.1021/jacs.9b13450.s001\">10.1021/jacs.9b13450.s001</a>."},"date_updated":"2023-08-22T07:49:38Z","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"8040"}]},"status":"public","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","month":"05","title":"Supporting information","article_processing_charge":"No","department":[{"_id":"LeSa"}],"date_created":"2021-07-23T12:02:39Z","oa_version":"Published Version","author":[{"first_name":"Chitrak","last_name":"Gupta","full_name":"Gupta, Chitrak"},{"full_name":"Khaniya, Umesh","first_name":"Umesh","last_name":"Khaniya"},{"full_name":"Chan, Chun Kit","last_name":"Chan","first_name":"Chun Kit"},{"full_name":"Dehez, Francois","last_name":"Dehez","first_name":"Francois"},{"full_name":"Shekhar, Mrinal","first_name":"Mrinal","last_name":"Shekhar"},{"first_name":"M.R.","last_name":"Gunner","full_name":"Gunner, M.R."},{"id":"338D39FE-F248-11E8-B48F-1D18A9856A87","full_name":"Sazanov, Leonid A","orcid":"0000-0002-0977-7989","last_name":"Sazanov","first_name":"Leonid A"},{"last_name":"Chipot","first_name":"Christophe","full_name":"Chipot, Christophe"},{"full_name":"Singharoy, Abhishek","first_name":"Abhishek","last_name":"Singharoy"}],"_id":"9713","publisher":"American Chemical Society "},{"type":"preprint","date_published":"2020-11-20T00:00:00Z","year":"2020","citation":{"short":"J. Slovakova, M.K. Sikora, S. Caballero Mancebo, G. Krens, W. Kaufmann, K. Huljev, C.-P.J. Heisenberg, BioRxiv (2020).","mla":"Slovakova, Jana, et al. “Tension-Dependent Stabilization of E-Cadherin Limits Cell-Cell Contact Expansion.” <i>BioRxiv</i>, Cold Spring Harbor Laboratory, 2020, doi:<a href=\"https://doi.org/10.1101/2020.11.20.391284\">10.1101/2020.11.20.391284</a>.","ista":"Slovakova J, Sikora MK, Caballero Mancebo S, Krens G, Kaufmann W, Huljev K, Heisenberg C-PJ. 2020. Tension-dependent stabilization of E-cadherin limits cell-cell contact expansion. bioRxiv, <a href=\"https://doi.org/10.1101/2020.11.20.391284\">10.1101/2020.11.20.391284</a>.","apa":"Slovakova, J., Sikora, M. K., Caballero Mancebo, S., Krens, G., Kaufmann, W., Huljev, K., &#38; Heisenberg, C.-P. J. (2020). Tension-dependent stabilization of E-cadherin limits cell-cell contact expansion. <i>bioRxiv</i>. Cold Spring Harbor Laboratory. <a href=\"https://doi.org/10.1101/2020.11.20.391284\">https://doi.org/10.1101/2020.11.20.391284</a>","ama":"Slovakova J, Sikora MK, Caballero Mancebo S, et al. Tension-dependent stabilization of E-cadherin limits cell-cell contact expansion. <i>bioRxiv</i>. 2020. doi:<a href=\"https://doi.org/10.1101/2020.11.20.391284\">10.1101/2020.11.20.391284</a>","ieee":"J. Slovakova <i>et al.</i>, “Tension-dependent stabilization of E-cadherin limits cell-cell contact expansion,” <i>bioRxiv</i>. Cold Spring Harbor Laboratory, 2020.","chicago":"Slovakova, Jana, Mateusz K Sikora, Silvia Caballero Mancebo, Gabriel Krens, Walter Kaufmann, Karla Huljev, and Carl-Philipp J Heisenberg. “Tension-Dependent Stabilization of E-Cadherin Limits Cell-Cell Contact Expansion.” <i>BioRxiv</i>. Cold Spring Harbor Laboratory, 2020. <a href=\"https://doi.org/10.1101/2020.11.20.391284\">https://doi.org/10.1101/2020.11.20.391284</a>."},"date_updated":"2024-03-25T23:30:10Z","oa":1,"abstract":[{"text":"Tension of the actomyosin cell cortex plays a key role in determining cell-cell contact growth and size. The level of cortical tension outside of the cell-cell contact, when pulling at the contact edge, scales with the total size to which a cell-cell contact can grow1,2. Here we show in zebrafish primary germ layer progenitor cells that this monotonic relationship only applies to a narrow range of cortical tension increase, and that above a critical threshold, contact size inversely scales with cortical tension. This switch from cortical tension increasing to decreasing progenitor cell-cell contact size is caused by cortical tension promoting E-cadherin anchoring to the actomyosin cytoskeleton, thereby increasing clustering and stability of E-cadherin at the contact. Once tension-mediated E-cadherin stabilization at the contact exceeds a critical threshold level, the rate by which the contact expands in response to pulling forces from the cortex sharply drops, leading to smaller contacts at physiologically relevant timescales of contact formation. Thus, the activity of cortical tension in expanding cell-cell contact size is limited by tension stabilizing E-cadherin-actin complexes at the contact.","lang":"eng"}],"day":"20","doi":"10.1101/2020.11.20.391284","status":"public","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","related_material":{"record":[{"id":"10766","relation":"later_version","status":"public"},{"id":"9623","relation":"dissertation_contains","status":"public"}]},"main_file_link":[{"url":"https://doi.org/10.1101/2020.11.20.391284","open_access":"1"}],"acknowledgement":"We would like to thank Edouard Hannezo for discussions, Shayan Shami Pour and Daniel Capek for help with data analysis, Vanessa Barone and other members of the Heisenberg laboratory for thoughtful discussions and comments on the manuscript. We also thank Jack Merrin for preparing the microwells, and the Scientific Service Units at IST Austria, specifically Bioimaging and Electron Microscopy, and the Zebrafish Facility for continuous support. We acknowledge Hitoshi Morita for the kind gift of VinculinB-GFP plasmid. This research was supported by an ERC Advanced Grant (MECSPEC) to C.-P.H, EMBO Long Term grant (ALTF 187-2013) to M.S and IST Fellow Marie-Curie COFUND No. P_IST_EU01 to J.S.","author":[{"id":"30F3F2F0-F248-11E8-B48F-1D18A9856A87","last_name":"Slovakova","first_name":"Jana","full_name":"Slovakova, Jana"},{"id":"2F74BCDE-F248-11E8-B48F-1D18A9856A87","first_name":"Mateusz K","last_name":"Sikora","full_name":"Sikora, Mateusz K"},{"id":"2F1E1758-F248-11E8-B48F-1D18A9856A87","full_name":"Caballero Mancebo, Silvia","orcid":"0000-0002-5223-3346","last_name":"Caballero Mancebo","first_name":"Silvia"},{"id":"2B819732-F248-11E8-B48F-1D18A9856A87","first_name":"Gabriel","last_name":"Krens","orcid":"0000-0003-4761-5996","full_name":"Krens, Gabriel"},{"last_name":"Kaufmann","first_name":"Walter","full_name":"Kaufmann, Walter","orcid":"0000-0001-9735-5315","id":"3F99E422-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Huljev, Karla","first_name":"Karla","last_name":"Huljev","id":"44C6F6A6-F248-11E8-B48F-1D18A9856A87"},{"id":"39427864-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0912-4566","full_name":"Heisenberg, Carl-Philipp J","first_name":"Carl-Philipp J","last_name":"Heisenberg"}],"publication":"bioRxiv","_id":"9750","title":"Tension-dependent stabilization of E-cadherin limits cell-cell contact expansion","month":"11","article_processing_charge":"No","date_created":"2021-07-29T11:29:50Z","department":[{"_id":"CaHe"},{"_id":"EM-Fac"},{"_id":"Bio"}],"project":[{"name":"International IST Postdoc Fellowship Programme","grant_number":"291734","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"_id":"260F1432-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"742573","name":"Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation"},{"grant_number":"187-2013","name":"Modulation of adhesion function in cell-cell contact formation by cortical tension","_id":"2521E28E-B435-11E9-9278-68D0E5697425"}],"acknowledged_ssus":[{"_id":"Bio"},{"_id":"EM-Fac"},{"_id":"SSU"}],"publication_status":"published","oa_version":"Preprint","language":[{"iso":"eng"}],"ec_funded":1,"page":"41","publisher":"Cold Spring Harbor Laboratory"},{"related_material":{"record":[{"relation":"used_in_publication","id":"7569","status":"public"}]},"status":"public","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","doi":"10.1371/journal.pcbi.1007642.s001","day":"25","date_published":"2020-02-25T00:00:00Z","type":"research_data_reference","date_updated":"2023-08-18T06:47:47Z","year":"2020","citation":{"ama":"Grah R, Friedlander T. Supporting information. 2020. doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s001\">10.1371/journal.pcbi.1007642.s001</a>","apa":"Grah, R., &#38; Friedlander, T. (2020). Supporting information. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s001\">https://doi.org/10.1371/journal.pcbi.1007642.s001</a>","chicago":"Grah, Rok, and Tamar Friedlander. “Supporting Information.” Public Library of Science, 2020. <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s001\">https://doi.org/10.1371/journal.pcbi.1007642.s001</a>.","ieee":"R. Grah and T. Friedlander, “Supporting information.” Public Library of Science, 2020.","short":"R. Grah, T. Friedlander, (2020).","mla":"Grah, Rok, and Tamar Friedlander. <i>Supporting Information</i>. Public Library of Science, 2020, doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s001\">10.1371/journal.pcbi.1007642.s001</a>.","ista":"Grah R, Friedlander T. 2020. Supporting information, Public Library of Science, <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s001\">10.1371/journal.pcbi.1007642.s001</a>."},"publisher":"Public Library of Science","month":"02","title":"Supporting information","oa_version":"Published Version","article_processing_charge":"No","department":[{"_id":"GaTk"}],"date_created":"2021-08-06T07:15:04Z","author":[{"first_name":"Rok","last_name":"Grah","orcid":"0000-0003-2539-3560","full_name":"Grah, Rok","id":"483E70DE-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Tamar","last_name":"Friedlander","full_name":"Friedlander, Tamar"}],"_id":"9776"},{"publisher":"Public Library of Science","title":"Maximizing crosstalk","month":"02","oa_version":"None","article_processing_charge":"No","department":[{"_id":"GaTk"}],"date_created":"2021-08-06T07:21:51Z","author":[{"id":"483E70DE-F248-11E8-B48F-1D18A9856A87","last_name":"Grah","first_name":"Rok","full_name":"Grah, Rok","orcid":"0000-0003-2539-3560"},{"full_name":"Friedlander, Tamar","last_name":"Friedlander","first_name":"Tamar"}],"_id":"9777","related_material":{"record":[{"status":"public","id":"7569","relation":"used_in_publication"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1371/journal.pcbi.1007642.s002"}],"oa":1,"doi":"10.1371/journal.pcbi.1007642.s002","day":"25","date_published":"2020-02-25T00:00:00Z","type":"research_data_reference","date_updated":"2023-09-12T11:02:25Z","year":"2020","citation":{"ama":"Grah R, Friedlander T. 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Maximizing crosstalk, Public Library of Science, <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s002\">10.1371/journal.pcbi.1007642.s002</a>."}},{"publisher":"Public Library of Science","oa_version":"Published Version","article_processing_charge":"No","department":[{"_id":"GaTk"}],"date_created":"2021-08-06T07:24:37Z","month":"02","title":"Distribution of crosstalk values","_id":"9779","author":[{"id":"483E70DE-F248-11E8-B48F-1D18A9856A87","full_name":"Grah, Rok","orcid":"0000-0003-2539-3560","last_name":"Grah","first_name":"Rok"},{"full_name":"Friedlander, Tamar","first_name":"Tamar","last_name":"Friedlander"}],"status":"public","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","related_material":{"record":[{"status":"public","id":"7569","relation":"research_data"}]},"doi":"10.1371/journal.pcbi.1007642.s003","day":"25","date_updated":"2023-08-18T06:47:47Z","year":"2020","citation":{"mla":"Grah, Rok, and Tamar Friedlander. <i>Distribution of Crosstalk Values</i>. Public Library of Science, 2020, doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s003\">10.1371/journal.pcbi.1007642.s003</a>.","short":"R. Grah, T. Friedlander, (2020).","ista":"Grah R, Friedlander T. 2020. Distribution of crosstalk values, Public Library of Science, <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s003\">10.1371/journal.pcbi.1007642.s003</a>.","ama":"Grah R, Friedlander T. Distribution of crosstalk values. 2020. doi:<a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s003\">10.1371/journal.pcbi.1007642.s003</a>","apa":"Grah, R., &#38; Friedlander, T. (2020). Distribution of crosstalk values. Public Library of Science. <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s003\">https://doi.org/10.1371/journal.pcbi.1007642.s003</a>","chicago":"Grah, Rok, and Tamar Friedlander. “Distribution of Crosstalk Values.” Public Library of Science, 2020. <a href=\"https://doi.org/10.1371/journal.pcbi.1007642.s003\">https://doi.org/10.1371/journal.pcbi.1007642.s003</a>.","ieee":"R. Grah and T. Friedlander, “Distribution of crosstalk values.” Public Library of Science, 2020."},"date_published":"2020-02-25T00:00:00Z","type":"research_data_reference"},{"doi":"10.5517/ccdc.csd.cc24vsrk","day":"22","abstract":[{"text":"PADREV : 4,4'-dimethoxy[1,1'-biphenyl]-2,2',5,5'-tetrol\r\nSpace Group: C 2 (5), Cell: a 24.488(16)Å b 5.981(4)Å c 3.911(3)Å, α 90° β 91.47(3)° γ 90°","lang":"eng"}],"oa":1,"date_updated":"2023-09-05T16:03:47Z","year":"2020","citation":{"mla":"Schlemmer, Werner, et al. <i>CCDC 1991959: Experimental Crystal Structure Determination</i>. CCDC, 2020, doi:<a href=\"https://doi.org/10.5517/ccdc.csd.cc24vsrk\">10.5517/ccdc.csd.cc24vsrk</a>.","short":"W. Schlemmer, P. Nothdurft, A. Petzold, G. Riess, P. Frühwirt, M. Schmallegger, G. Gescheidt-Demner, R. Fischer, S.A. Freunberger, W. Kern, S. Spirk, (2020).","ista":"Schlemmer W, Nothdurft P, Petzold A, Riess G, Frühwirt P, Schmallegger M, Gescheidt-Demner G, Fischer R, Freunberger SA, Kern W, Spirk S. 2020. CCDC 1991959: Experimental Crystal Structure Determination, CCDC, <a href=\"https://doi.org/10.5517/ccdc.csd.cc24vsrk\">10.5517/ccdc.csd.cc24vsrk</a>.","ama":"Schlemmer W, Nothdurft P, Petzold A, et al. CCDC 1991959: Experimental Crystal Structure Determination. 2020. doi:<a href=\"https://doi.org/10.5517/ccdc.csd.cc24vsrk\">10.5517/ccdc.csd.cc24vsrk</a>","apa":"Schlemmer, W., Nothdurft, P., Petzold, A., Riess, G., Frühwirt, P., Schmallegger, M., … Spirk, S. (2020). CCDC 1991959: Experimental Crystal Structure Determination. CCDC. <a href=\"https://doi.org/10.5517/ccdc.csd.cc24vsrk\">https://doi.org/10.5517/ccdc.csd.cc24vsrk</a>","ieee":"W. Schlemmer <i>et al.</i>, “CCDC 1991959: Experimental Crystal Structure Determination.” CCDC, 2020.","chicago":"Schlemmer, Werner, Philipp Nothdurft, Alina Petzold, Gisbert Riess, Philipp Frühwirt, Max Schmallegger, Georg Gescheidt-Demner, et al. “CCDC 1991959: Experimental Crystal Structure Determination.” CCDC, 2020. <a href=\"https://doi.org/10.5517/ccdc.csd.cc24vsrk\">https://doi.org/10.5517/ccdc.csd.cc24vsrk</a>."},"date_published":"2020-03-22T00:00:00Z","type":"research_data_reference","main_file_link":[{"open_access":"1","url":"https://dx.doi.org/10.5517/ccdc.csd.cc24vsrk"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","status":"public","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"8329"}]},"oa_version":"Published Version","article_processing_charge":"No","department":[{"_id":"StFr"}],"date_created":"2021-08-06T07:41:07Z","title":"CCDC 1991959: Experimental Crystal Structure Determination","month":"03","_id":"9780","author":[{"full_name":"Schlemmer, Werner","last_name":"Schlemmer","first_name":"Werner"},{"first_name":"Philipp","last_name":"Nothdurft","full_name":"Nothdurft, Philipp"},{"full_name":"Petzold, Alina","last_name":"Petzold","first_name":"Alina"},{"last_name":"Riess","first_name":"Gisbert","full_name":"Riess, Gisbert"},{"full_name":"Frühwirt, Philipp","first_name":"Philipp","last_name":"Frühwirt"},{"last_name":"Schmallegger","first_name":"Max","full_name":"Schmallegger, Max"},{"first_name":"Georg","last_name":"Gescheidt-Demner","full_name":"Gescheidt-Demner, Georg"},{"last_name":"Fischer","first_name":"Roland","full_name":"Fischer, Roland"},{"id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","full_name":"Freunberger, Stefan Alexander","orcid":"0000-0003-2902-5319","last_name":"Freunberger","first_name":"Stefan Alexander"},{"last_name":"Kern","first_name":"Wolfgang","full_name":"Kern, Wolfgang"},{"full_name":"Spirk, Stefan","last_name":"Spirk","first_name":"Stefan"}],"publisher":"CCDC"},{"has_accepted_license":"1","publication":"SIAM Journal on Mathematical Analysis","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa_version":"Preprint","month":"02","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png"},"type":"journal_article","date_published":"2020-02-12T00:00:00Z","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1904.08647","open_access":"1"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"9733","status":"public"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","scopus_import":"1","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","_id":"9781","issue":"1","author":[{"first_name":"Dario","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2021-08-06T07:34:16Z","article_processing_charge":"No","department":[{"_id":"RoSe"}],"publication_status":"published","intvolume":"        52","title":"Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball","ec_funded":1,"quality_controlled":"1","page":"605-622","publisher":"Society for Industrial & Applied Mathematics ","article_type":"original","year":"2020","citation":{"ieee":"D. Feliciangeli and R. Seiringer, “Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1. Society for Industrial &#38; Applied Mathematics , pp. 605–622, 2020.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics , 2020. <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>.","apa":"Feliciangeli, D., &#38; Seiringer, R. (2020). Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics . <a href=\"https://doi.org/10.1137/19m126284x\">https://doi.org/10.1137/19m126284x</a>","ama":"Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(1):605-622. doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>","ista":"Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.","mla":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 1, Society for Industrial &#38; Applied Mathematics , 2020, pp. 605–22, doi:<a href=\"https://doi.org/10.1137/19m126284x\">10.1137/19m126284x</a>.","short":"D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622."},"date_updated":"2023-09-07T13:30:11Z","external_id":{"arxiv":["1904.08647 "],"isi":["000546967700022"]},"isi":1,"day":"12","doi":"10.1137/19m126284x","arxiv":1,"abstract":[{"lang":"eng","text":"We consider the Pekar functional on a ball in ℝ3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum."}],"acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","volume":52,"ddc":["510"]},{"oa":1,"abstract":[{"text":"Fitness interactions between mutations can influence a population’s evolution in many different ways. 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