{"id":"https://openalex.org/W2803649963","doi":"https://doi.org/10.1137/18m1189026","title":"A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix","display_name":"A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2803649963","doi":"https://doi.org/10.1137/18m1189026","mag":"2803649963"},"language":"en","primary_location":{"id":"doi:10.1137/18m1189026","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1189026","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research-repository.st-andrews.ac.uk/bitstream/10023/19387/1/sfakianakis_etal_siammms2020.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015892154","display_name":"Nikolaos Sfakianakis","orcid":"https://orcid.org/0000-0002-2675-6338"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nikolaos Sfakianakis","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075584405","display_name":"Anotida Madzvamuse","orcid":"https://orcid.org/0000-0002-9511-8903"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anotida Madzvamuse","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9511-8903","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5063667645","display_name":"Mark A. J. Chaplain","orcid":"https://orcid.org/0000-0001-5727-2160"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mark A. J. Chaplain","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-5727-2160","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00094528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"18","issue":"2","first_page":"824","last_page":"850"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10336","display_name":"Cancer Cells and Metastasis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10336","display_name":"Cancer Cells and Metastasis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extracellular-matrix","display_name":"Extracellular matrix","score":0.8224728107452393},{"id":"https://openalex.org/keywords/epithelial\u2013mesenchymal-transition","display_name":"Epithelial\u2013mesenchymal transition","score":0.6851770877838135},{"id":"https://openalex.org/keywords/cancer-cell","display_name":"Cancer cell","score":0.6360902190208435},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5394917130470276},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5335208773612976},{"id":"https://openalex.org/keywords/cell-biology","display_name":"Cell biology","score":0.506341814994812},{"id":"https://openalex.org/keywords/tumor-microenvironment","display_name":"Tumor microenvironment","score":0.49437785148620605},{"id":"https://openalex.org/keywords/mesenchymal-stem-cell","display_name":"Mesenchymal stem cell","score":0.4684826135635376},{"id":"https://openalex.org/keywords/cancer","display_name":"Cancer","score":0.4588748514652252},{"id":"https://openalex.org/keywords/metastasis","display_name":"Metastasis","score":0.4542969763278961},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.4184877872467041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.359687864780426},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.3526971936225891},{"id":"https://openalex.org/keywords/cancer-research","display_name":"Cancer research","score":0.3299420177936554},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3261343538761139},{"id":"https://openalex.org/keywords/tumor-cells","display_name":"Tumor cells","score":0.29246091842651367},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.09478065371513367}],"concepts":[{"id":"https://openalex.org/C189165786","wikidata":"https://www.wikidata.org/wiki/Q193825","display_name":"Extracellular matrix","level":2,"score":0.8224728107452393},{"id":"https://openalex.org/C76419328","wikidata":"https://www.wikidata.org/wiki/Q74419","display_name":"Epithelial\u2013mesenchymal transition","level":4,"score":0.6851770877838135},{"id":"https://openalex.org/C96232424","wikidata":"https://www.wikidata.org/wiki/Q4118072","display_name":"Cancer cell","level":3,"score":0.6360902190208435},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5394917130470276},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5335208773612976},{"id":"https://openalex.org/C95444343","wikidata":"https://www.wikidata.org/wiki/Q7141","display_name":"Cell biology","level":1,"score":0.506341814994812},{"id":"https://openalex.org/C2776107976","wikidata":"https://www.wikidata.org/wiki/Q1786433","display_name":"Tumor microenvironment","level":3,"score":0.49437785148620605},{"id":"https://openalex.org/C198826908","wikidata":"https://www.wikidata.org/wiki/Q1922379","display_name":"Mesenchymal stem cell","level":2,"score":0.4684826135635376},{"id":"https://openalex.org/C121608353","wikidata":"https://www.wikidata.org/wiki/Q12078","display_name":"Cancer","level":2,"score":0.4588748514652252},{"id":"https://openalex.org/C2779013556","wikidata":"https://www.wikidata.org/wiki/Q181876","display_name":"Metastasis","level":3,"score":0.4542969763278961},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.4184877872467041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.359687864780426},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3526971936225891},{"id":"https://openalex.org/C502942594","wikidata":"https://www.wikidata.org/wiki/Q3421914","display_name":"Cancer research","level":1,"score":0.3299420177936554},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3261343538761139},{"id":"https://openalex.org/C3020616263","wikidata":"https://www.wikidata.org/wiki/Q1216998","display_name":"Tumor cells","level":2,"score":0.29246091842651367},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.09478065371513367},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/18m1189026","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1189026","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/19387","is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/19387","pdf_url":"https://research-repository.st-andrews.ac.uk/bitstream/10023/19387/1/sfakianakis_etal_siammms2020.pdf","source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Journal article"},{"id":"pmh:oai:arXiv.org:1805.10541","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.10541","pdf_url":"https://arxiv.org/pdf/1805.10541","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2803649963","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1805.10541v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:figshare.com:article/23475650","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_hybrid_multiscale_model_for_cancer_invasion_of_the_extracellular_matrix/23475650","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:sro.sussex.ac.uk:89977","is_oa":false,"landing_page_url":"http://sro.sussex.ac.uk/id/eprint/89977/4/A%20Hybrid%20Multiscale%20Model%20for%20Cancer%20Invasion%20of%20the%20Extracellular%20Matrix.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400129","display_name":"Sussex Research Online (University of Sussex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162608824","host_organization_name":"University of Sussex","host_organization_lineage":["https://openalex.org/I162608824"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1805.10541","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.10541","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/19387","is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/19387","pdf_url":"https://research-repository.st-andrews.ac.uk/bitstream/10023/19387/1/sfakianakis_etal_siammms2020.pdf","source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Journal article"},"sustainable_development_goals":[{"display_name":"Life below water","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/14"}],"awards":[{"id":"https://openalex.org/G1000966427","display_name":null,"funder_award_id":"No 642866","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G32435163","display_name":null,"funder_award_id":"642866","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3728093668","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4421442999","display_name":null,"funder_award_id":"EP/K032208","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4909487410","display_name":"Research Training Network on Integrated Component Cycling in Epithelial Cell Motility","funder_award_id":"642866","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5128091834","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G553495057","display_name":null,"funder_award_id":"SFB873","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G570629271","display_name":null,"funder_award_id":"EP/J016780/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7000731051","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320670","display_name":"Wolfson Foundation","ror":"https://ror.org/0333xzh65"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2803649963.pdf","grobid_xml":"https://content.openalex.org/works/W2803649963.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W157111480","https://openalex.org/W357199568","https://openalex.org/W1965949654","https://openalex.org/W1966038208","https://openalex.org/W1973376127","https://openalex.org/W1987717176","https://openalex.org/W1987732348","https://openalex.org/W1988906279","https://openalex.org/W1988987428","https://openalex.org/W1990240943","https://openalex.org/W1991464224","https://openalex.org/W1991962363","https://openalex.org/W1995689219","https://openalex.org/W2004280628","https://openalex.org/W2009746295","https://openalex.org/W2013945372","https://openalex.org/W2018589752","https://openalex.org/W2027061665","https://openalex.org/W2027946474","https://openalex.org/W2032168148","https://openalex.org/W2034269086","https://openalex.org/W2035608633","https://openalex.org/W2044227647","https://openalex.org/W2045484383","https://openalex.org/W2050984980","https://openalex.org/W2056180229","https://openalex.org/W2060433646","https://openalex.org/W2062410906","https://openalex.org/W2064209144","https://openalex.org/W2065191902","https://openalex.org/W2076269675","https://openalex.org/W2076583198","https://openalex.org/W2076782790","https://openalex.org/W2081615148","https://openalex.org/W2086641174","https://openalex.org/W2095554214","https://openalex.org/W2099703086","https://openalex.org/W2117692326","https://openalex.org/W2137985153","https://openalex.org/W2146606690","https://openalex.org/W2154589460","https://openalex.org/W2155121261","https://openalex.org/W2155216327","https://openalex.org/W2161324764","https://openalex.org/W2161809910","https://openalex.org/W2163778004","https://openalex.org/W2168414272","https://openalex.org/W2254911309","https://openalex.org/W2283154731","https://openalex.org/W2299806323","https://openalex.org/W2312041018","https://openalex.org/W2461943535","https://openalex.org/W2530494428","https://openalex.org/W2591752918","https://openalex.org/W2601909317","https://openalex.org/W2608410300","https://openalex.org/W2769521636","https://openalex.org/W2790255586","https://openalex.org/W2790765814","https://openalex.org/W2962681765","https://openalex.org/W2963621769","https://openalex.org/W4231021828","https://openalex.org/W4246941629"],"related_works":["https://openalex.org/W2955599187","https://openalex.org/W2893044096","https://openalex.org/W2003192549","https://openalex.org/W3193805373","https://openalex.org/W3018840896","https://openalex.org/W2962681765","https://openalex.org/W2058747001","https://openalex.org/W3106466918","https://openalex.org/W3101777652","https://openalex.org/W2163778004","https://openalex.org/W3017109588","https://openalex.org/W2901911696","https://openalex.org/W2303374189","https://openalex.org/W2282267255","https://openalex.org/W2949880289","https://openalex.org/W152116468","https://openalex.org/W1550202285","https://openalex.org/W2556552828","https://openalex.org/W2918202047","https://openalex.org/W1996874651"],"abstract_inverted_index":{"The":[0,36],"ability":[1],"to":[2,75,100,139],"locally":[3],"degrade":[4],"the":[5,12,30,34,39,43,49,51,56,90,98,106,126,129,132,150,168,171,177,185,189],"extracellular":[6],"matrix":[7,52],"(ECM)":[8],"and":[9,24,55,73,120,131,176],"interact":[10],"with":[11],"tumour":[13],"microenvironment":[14],"is":[15,25,61],"a":[16,26,62,84,93,113,142],"key":[17],"process":[18,64],"distinguishing":[19],"cancer":[20,47,155],"from":[21,92],"normal":[22],"cells,":[23,48],"critical":[27],"step":[28],"in":[29,141],"metastatic":[31],"spread":[32],"of":[33,38,118,128,149,154,170,179,184,188],"tumour.":[35,190],"invasion":[37,95,103,156,169,181],"surrounding":[40],"tissue":[41],"involves":[42],"coordinated":[44],"action":[45],"between":[46],"ECM,":[50],"degrading":[53],"enzymes,":[54],"epithelial-to-mesenchymal":[57],"transition":[58,91],"(EMT).":[59],"This":[60,135],"regulatory":[63],"through":[65],"which":[66,88],"epithelial":[67],"cells":[68,77],"(ECs)":[69],"acquire":[70],"mesenchymal":[71],"characteristics":[72],"transform":[74],"mesenchymal-like":[76],"(MCs).":[78],"In":[79],"this":[80,110],"paper,":[81],"we":[82],"present":[83],"new":[85],"mathematical":[86],"model":[87],"describes":[89],"collective":[94],"strategy":[96,104],"for":[97,105,166],"ECs":[99,130],"an":[101],"individual":[102],"MCs.":[107],"We":[108],"achieve":[109],"by":[111,162,173],"formulating":[112],"coupled":[114],"hybrid":[115],"system":[116],"consisting":[117],"partial":[119],"stochastic":[121],"differential":[122],"equations":[123],"that":[124,157],"describe":[125],"evolution":[127],"MCs,":[133],"respectively.":[134],"approach":[136],"allows":[137],"one":[138],"reproduce":[140],"very":[143],"natural":[144],"way":[145],"fundamental":[146],"qualitative":[147],"features":[148],"current":[151],"biomedical":[152],"understanding":[153],"are":[158],"not":[159],"easily":[160],"captured":[161],"classical":[163],"modelling":[164],"approaches,":[165],"example,":[167],"ECM":[172],"self-generated":[174],"gradients":[175],"appearance":[178],"EC":[180],"islands":[182],"outside":[183],"main":[186],"body":[187]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}