{"id":"https://openalex.org/W4415421887","doi":"https://doi.org/10.15439/2025f1136","title":"An Application of Tensors in the Stochastic Reaction Diffusion Master Equation","display_name":"An Application of Tensors in the Stochastic Reaction Diffusion Master Equation","publication_year":2025,"publication_date":"2025-10-15","ids":{"openalex":"https://openalex.org/W4415421887","doi":"https://doi.org/10.15439/2025f1136"},"language":"en","primary_location":{"id":"doi:10.15439/2025f1136","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2025f1136","pdf_url":"https://annals-csis.org/Volume_43/drp/pdf/1136.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/Volume_43/drp/pdf/1136.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107963620","display_name":"M. Rahman","orcid":"https://orcid.org/0000-0002-6874-0801"},"institutions":[{"id":"https://openalex.org/I1335518801","display_name":"Texas A&M University \u2013 San Antonio","ror":"https://ror.org/0084njv03","country_code":"US","type":"education","lineage":["https://openalex.org/I1335518801"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Md Mustafijur Rahman","raw_affiliation_strings":["Texas A&M University San Antonio"],"raw_orcid":"https://orcid.org/0000-0002-6874-0801","affiliations":[{"raw_affiliation_string":"Texas A&M University San Antonio","institution_ids":["https://openalex.org/I1335518801"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052023580","display_name":"Roger B. Sidje","orcid":"https://orcid.org/0000-0001-5353-3642"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roger B. Sidje","raw_affiliation_strings":["University of Alabama"],"raw_orcid":"https://orcid.org/0000-0001-5353-3642","affiliations":[{"raw_affiliation_string":"University of Alabama","institution_ids":["https://openalex.org/I17301866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3015873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":null,"first_page":"587","last_page":"594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.951200008392334,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.935699999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.4738999903202057},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.36640000343322754},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.3587999939918518},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.3156999945640564},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.296099990606308},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.2863999903202057}],"concepts":[{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.4738999903202057},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43689998984336853},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37619999051094055},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.36640000343322754},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35830000042915344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3571000099182129},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35199999809265137},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2770000100135803},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2612000107765198},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25679999589920044},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.25540000200271606},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15439/2025f1136","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2025f1136","pdf_url":"https://annals-csis.org/Volume_43/drp/pdf/1136.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:4292e4ed33324aa9929b1374180408de","is_oa":true,"landing_page_url":"https://doaj.org/article/4292e4ed33324aa9929b1374180408de","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 43, Pp 587-594 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2025f1136","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2025f1136","pdf_url":"https://annals-csis.org/Volume_43/drp/pdf/1136.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415421887.pdf","grobid_xml":"https://content.openalex.org/works/W4415421887.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W111803032","https://openalex.org/W1967077133","https://openalex.org/W1982903250","https://openalex.org/W1988498168","https://openalex.org/W1993482030","https://openalex.org/W1995012220","https://openalex.org/W2024165284","https://openalex.org/W2046716159","https://openalex.org/W2060662954","https://openalex.org/W2066594542","https://openalex.org/W2074413263","https://openalex.org/W2078734278","https://openalex.org/W2085061065","https://openalex.org/W2113055885","https://openalex.org/W2132898564","https://openalex.org/W2134251598","https://openalex.org/W2146530408","https://openalex.org/W2155418451","https://openalex.org/W2166864311","https://openalex.org/W2235926820","https://openalex.org/W2258054274","https://openalex.org/W2738769799","https://openalex.org/W3039310193","https://openalex.org/W3203250628","https://openalex.org/W4288938614","https://openalex.org/W4388299012","https://openalex.org/W4400054838","https://openalex.org/W4412592930"],"related_works":[],"abstract_inverted_index":{"Various":[0],"scientific":[1],"fields":[2],"are":[3,9],"seeking":[4],"to":[5,47,64,91,116],"exploit":[6],"tensors,":[7],"which":[8],"multi-dimensional":[10],"arrays":[11],"that":[12,73,92],"expand":[13],"on":[14,119,127],"the":[15,29,41,49,66,78,94,100,120],"concept":[16],"of":[17,51,93,102,109,122],"matrices.Here,":[18],"we":[19],"consider":[20],"an":[21,106],"application":[22],"arising":[23],"from":[24],"complex":[25],"biological":[26,52],"systems":[27,53],"where":[28],"data":[30],"can":[31,113],"be":[32,114],"processed":[33],"and":[34,57,96],"analyzed":[35],"using":[36],"tensors.Our":[37,103],"modeling":[38],"framework":[39],"is":[40,60,80,87,105],"reaction-diffusion":[42],"master":[43,70],"equation":[44,71],"(RDME)":[45],"used":[46,115],"describe":[48],"dynamics":[50,121],"involving":[54],"both":[55],"reaction":[56,76],"diffusion":[58],"processes.It":[59],"already":[61],"notoriously":[62],"hard":[63],"solve":[65],"more":[67],"familiar":[68],"chemical":[69],"(CME)":[72],"only":[74],"involves":[75],"processes.Solving":[77],"RDME":[79,129],"even":[81],"harder":[82],"because":[83],"its":[84,128],"state":[85],"space":[86],"considerably":[88],"larger":[89],"compared":[90],"CME,":[95],"this":[97],"further":[98],"motivates":[99],"utilization":[101],"study":[104],"illustrative":[107],"example":[108],"how":[110],"tensor":[111],"techniques":[112],"make":[117],"predictions":[118],"a":[123],"metapopulation":[124],"model":[125],"based":[126],"formulation.":[130]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-24T00:00:00"}