{"id":"https://openalex.org/W7161815865","doi":"https://doi.org/10.48550/arxiv.2605.20140","title":"A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model","display_name":"A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model","publication_year":2026,"publication_date":"2026-05-19","ids":{"openalex":"https://openalex.org/W7161815865","doi":"https://doi.org/10.48550/arxiv.2605.20140"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.20140","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.20140","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.20140","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136515810","display_name":"Jingyuan Hu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hu, Jingyuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136600502","display_name":"Zhongjian Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Zhongjian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136548559","display_name":"Jack Xin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xin, Jack","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136599129","display_name":"Zhiwen Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Zhiwen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9937999844551086,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular 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/bounded-function","display_name":"Bounded function","score":0.5648000240325928},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.47699999809265137},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4203000068664551},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.4156999886035919},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.414900004863739},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4120999872684479},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.39660000801086426},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.3837999999523163},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.35749998688697815}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6122999787330627},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5648000240325928},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.47699999809265137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4643999934196472},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4449999928474426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43160000443458557},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41760000586509705},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4156999886035919},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.414900004863739},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4120999872684479},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.3837999999523163},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.36899998784065247},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.35749998688697815},{"id":"https://openalex.org/C135649769","wikidata":"https://www.wikidata.org/wiki/Q27794802","display_name":"Particle density","level":3,"score":0.32170000672340393},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3034000098705292},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.29179999232292175},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.2888999879360199},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C2987747430","wikidata":"https://www.wikidata.org/wiki/Q24898874","display_name":"Particle method","level":3,"score":0.2524999976158142},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.20140","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.20140","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"doi:10.48550/arxiv.2605.20140","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.20140","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.6262437701225281,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1,83,155,163],"paper,":[2],"we":[3,131],"present":[4,132],"a":[5,11,64,76,133,169],"novel":[6],"numerical":[7,142,159],"framework":[8],"for":[9,82,137],"solving":[10],"specific":[12],"biological":[13],"reaction-diffusion-advection":[14],"system":[15,164],"of":[16,25,43,88,90,107,152,172],"cancer":[17],"growth":[18],"in":[19,70,100,165,185],"three":[20,166],"dimensions":[21],"(3D)":[22],"using":[23,75],"particles":[24,56],"variable":[26],"mass.":[27],"We":[28,79],"adopt":[29],"empirical":[30,113],"particle":[31,91,114],"measures":[32],"to":[33,102,161,181],"represent":[34],"cell":[35,108],"density":[36,109],"and":[37,57,141],"dynamically":[38],"construct":[39],"the":[40,49,55,58,86,103,112,116,120,127,138,145,150,157,182,186],"concentration":[41],"fields":[42],"multiple":[44],"related":[45],"chemical":[46],"species":[47],"throughout":[48],"3D":[50],"domain.":[51],"Efficient":[52],"interaction":[53],"between":[54],"spatial":[59,128],"grid":[60],"is":[61,72,156,178],"achieved":[62],"through":[63],"Particle-in-Cell":[65],"(PIC)":[66],"algorithm,":[67],"while":[68],"diffusion":[69],"space":[71],"solved":[73],"rapidly":[74],"spectral":[77],"method.":[78],"demonstrate":[80],"that":[81],"particular":[84],"system,":[85],"rate":[87],"change":[89],"mass":[92],"remains":[93],"bounded":[94],"over":[95],"finite":[96],"time":[97],"intervals.":[98],"Furthermore,":[99],"addition":[101],"inherent":[104],"positivity":[105],"preservation":[106],"guaranteed":[110],"by":[111,119,175],"measures,":[115],"concentrations":[117],"constructed":[118],"algorithm":[121],"are":[122],"also":[123],"unconditionally":[124],"positivity-preserving":[125],"on":[126],"grid.":[129],"Moreover,":[130],"rigorous":[134],"error":[135],"analysis":[136],"proposed":[139],"method,":[140],"experiments":[143],"confirm":[144],"theoretical":[146],"convergence":[147],"rates.":[148],"To":[149],"best":[151],"our":[153],"knowledge,":[154],"first":[158],"work":[160],"solve":[162],"dimensions,":[167],"wherein":[168],"rapid":[170],"spread":[171],"cells":[173],"driven":[174],"haptotactic":[176],"flux":[177],"observed,":[179],"similar":[180],"behavior":[183],"documented":[184],"two-dimensional":[187],"case.":[188]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-21T00:00:00"}