{"id":"https://openalex.org/W2007627399","doi":"https://doi.org/10.1186/1752-0509-8-71","title":"Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method","display_name":"Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method","publication_year":2014,"publication_date":"2014-06-18","ids":{"openalex":"https://openalex.org/W2007627399","doi":"https://doi.org/10.1186/1752-0509-8-71","mag":"2007627399","pmid":"https://pubmed.ncbi.nlm.nih.gov/24939084"},"language":"en","primary_location":{"id":"doi:10.1186/1752-0509-8-71","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-8-71","pdf_url":"https://bmcsystbiol.biomedcentral.com/counter/pdf/10.1186/1752-0509-8-71","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://bmcsystbiol.biomedcentral.com/counter/pdf/10.1186/1752-0509-8-71","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063077232","display_name":"Tam\u00e1s Sz\u00e9kely","orcid":"https://orcid.org/0000-0003-2093-0056"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Tam\u00e1s Sz\u00e9kely","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK. tamas.szekely@cs.ox.ac.uk","Department of Computer Science University of Oxford Oxford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK. tamas.szekely@cs.ox.ac.uk","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Computer Science University of Oxford Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003330950","display_name":"Kevin Burrage","orcid":"https://orcid.org/0000-0002-8111-1137"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["AU","GB"],"is_corresponding":false,"raw_author_name":"Kevin Burrage","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK","Department of Mathematics, Queensland University of Technology, Brisbane, Qld 4001, Australia","Department of Computer Science, University of Oxford, Oxford, UK","Department of Mathematics, Queensland University of Technology, Brisbane, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Mathematics, Queensland University of Technology, Brisbane, Qld 4001, Australia","institution_ids":["https://openalex.org/I160993911"]},{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Mathematics, Queensland University of Technology, Brisbane, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068361059","display_name":"Konstantinos C. Zygalakis","orcid":"https://orcid.org/0000-0002-3860-9167"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Konstantinos C Zygalakis","raw_affiliation_strings":["Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, UK","Mathematical Sciences, University of Southampton, Southampton, UK;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences, University of Southampton, Southampton, SO17 1BJ, UK","institution_ids":["https://openalex.org/I43439940"]},{"raw_affiliation_string":"Mathematical Sciences, University of Southampton, Southampton, UK;","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000315012","display_name":"Manuel Barrio-Sol\u00f3rzano","orcid":"https://orcid.org/0000-0002-3810-0344"},"institutions":[{"id":"https://openalex.org/I108103353","display_name":"Universidad de Valladolid","ror":"https://ror.org/01fvbaw18","country_code":"ES","type":"education","lineage":["https://openalex.org/I108103353"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel Barrio","raw_affiliation_strings":["Departamento de Inform\u00e1tica, Universidad de Valladolid, 47011 Valladolid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, Universidad de Valladolid, 47011 Valladolid, Spain","institution_ids":["https://openalex.org/I108103353"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5063077232"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.7114,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69417778,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"8","issue":"1","first_page":"71","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.8226000070571899,"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"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.8226000070571899,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.030500000342726707,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.016499999910593033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6494422554969788},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.554254412651062},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5451537370681763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5424550175666809},{"id":"https://openalex.org/keywords/stochastic-simulation","display_name":"Stochastic simulation","score":0.5205586552619934},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5013182163238525},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.4787991940975189},{"id":"https://openalex.org/keywords/backward-differentiation-formula","display_name":"Backward differentiation formula","score":0.4418320059776306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43399083614349365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4060709774494171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39757633209228516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38065844774246216},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.3317342698574066},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2526448965072632},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.101856529712677}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6494422554969788},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.554254412651062},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5451537370681763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5424550175666809},{"id":"https://openalex.org/C25915931","wikidata":"https://www.wikidata.org/wiki/Q4180825","display_name":"Stochastic simulation","level":2,"score":0.5205586552619934},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5013182163238525},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.4787991940975189},{"id":"https://openalex.org/C152522140","wikidata":"https://www.wikidata.org/wiki/Q795746","display_name":"Backward differentiation formula","level":5,"score":0.4418320059776306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43399083614349365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4060709774494171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39757633209228516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38065844774246216},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3317342698574066},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2526448965072632},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.101856529712677},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D004791","descriptor_name":"Enzyme Inhibitors","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D004791","descriptor_name":"Enzyme Inhibitors","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D004791","descriptor_name":"Enzyme Inhibitors","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007700","descriptor_name":"Kinetics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008956","descriptor_name":"Models, Chemical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008956","descriptor_name":"Models, Chemical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008956","descriptor_name":"Models, Chemical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D048088","descriptor_name":"Informatics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D048088","descriptor_name":"Informatics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D048088","descriptor_name":"Informatics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1186/1752-0509-8-71","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-8-71","pdf_url":"https://bmcsystbiol.biomedcentral.com/counter/pdf/10.1186/1752-0509-8-71","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},{"id":"pmid:24939084","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/24939084","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC systems biology","raw_type":null},{"id":"pmh:oai:eprints.soton.ac.uk:366734","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401019","display_name":"ePrints Soton (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:europepmc.org:3077136","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4085235","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":null,"raw_type":"Text"},{"id":"pmh:oai:uvadoc.uva.es:10324/65823","is_oa":true,"landing_page_url":"https://uvadoc.uva.es/handle/10324/65823","pdf_url":null,"source":{"id":"https://openalex.org/S4306401553","display_name":"UVaDOC UVaDOC University of Valladolid Documentary Repository (University of Valladolid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108103353","host_organization_name":"Universidad de Valladolid","host_organization_lineage":["https://openalex.org/I108103353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1186/1752-0509-8-71","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-8-71","pdf_url":"https://bmcsystbiol.biomedcentral.com/counter/pdf/10.1186/1752-0509-8-71","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320290","display_name":"University of Oxford","ror":"https://ror.org/052gg0110"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2007627399.pdf","grobid_xml":"https://content.openalex.org/works/W2007627399.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W9124626","https://openalex.org/W103288008","https://openalex.org/W1592379908","https://openalex.org/W1946177469","https://openalex.org/W1974272479","https://openalex.org/W1974631391","https://openalex.org/W1980266375","https://openalex.org/W1982903250","https://openalex.org/W1984429906","https://openalex.org/W1987253195","https://openalex.org/W1987928041","https://openalex.org/W1989817320","https://openalex.org/W1991299115","https://openalex.org/W1997698024","https://openalex.org/W2011432832","https://openalex.org/W2011753240","https://openalex.org/W2013440660","https://openalex.org/W2019768978","https://openalex.org/W2021426723","https://openalex.org/W2022176539","https://openalex.org/W2032748090","https://openalex.org/W2034895724","https://openalex.org/W2040431865","https://openalex.org/W2042388195","https://openalex.org/W2043866598","https://openalex.org/W2045490693","https://openalex.org/W2047515584","https://openalex.org/W2048634371","https://openalex.org/W2056160976","https://openalex.org/W2059719532","https://openalex.org/W2063690718","https://openalex.org/W2071490795","https://openalex.org/W2075213059","https://openalex.org/W2082618321","https://openalex.org/W2084924279","https://openalex.org/W2091198609","https://openalex.org/W2091474733","https://openalex.org/W2093470850","https://openalex.org/W2102787760","https://openalex.org/W2127436236","https://openalex.org/W2135734223","https://openalex.org/W2139468632","https://openalex.org/W2155290264","https://openalex.org/W2155418451","https://openalex.org/W2167154952","https://openalex.org/W2170223994","https://openalex.org/W2171280873","https://openalex.org/W2315559992","https://openalex.org/W3104248402","https://openalex.org/W3104859924"],"related_works":["https://openalex.org/W2109753894","https://openalex.org/W4249521513","https://openalex.org/W2003147761","https://openalex.org/W1971076002","https://openalex.org/W2076853808","https://openalex.org/W3017111482","https://openalex.org/W2094035517","https://openalex.org/W2065785067","https://openalex.org/W2146104299","https://openalex.org/W2048226115"],"abstract_inverted_index":{"BACKGROUND:":[0],"Biochemical":[1],"systems":[2],"with":[3,107,177],"relatively":[4],"low":[5],"numbers":[6],"of":[7,60,138,158,160,269],"components":[8],"must":[9,264],"be":[10,182,218],"simulated":[11],"stochastically":[12],"in":[13,156,165,203],"order":[14,202],"to":[15,91,97,117,123,185,198,227],"capture":[16],"their":[17],"inherent":[18],"noise.":[19],"Although":[20],"there":[21,31],"has":[22],"recently":[23],"been":[24],"considerable":[25],"work":[26],"on":[27,104,135],"discrete":[28,79],"stochastic":[29,189,214,259],"solvers,":[30],"is":[32,48,89,102,152,171,196,211,247],"still":[33],"a":[34,73,136,212],"need":[35],"for":[36,52,77,112,174,220,257],"numerical":[37,75,260],"methods":[38,163],"that":[39,57,100,143,180,216],"are":[40,175,240,254],"both":[41,59,248],"fast":[42,118,221],"and":[43,115,141,222,251],"accurate.":[44],"The":[45,168,207],"Bulirsch-Stoer":[46,71,209,245],"method":[47,51,76,151,210,246],"an":[49,93,105],"established":[50],"solving":[53],"ordinary":[54],"differential":[55],"equations":[56],"possesses":[58],"these":[61],"qualities.":[62],"RESULTS:":[63],"In":[64],"this":[65,166],"paper,":[66],"we":[67],"present":[68],"the":[69,98,124,153,162,204,238,243],"Stochastic":[70,208,244],"method,":[72,261],"new":[74],"simulating":[78],"chemical":[80],"reaction":[81],"systems,":[82],"inspired":[83],"by":[84],"its":[85,234],"deterministic":[86,109],"counterpart.":[87],"It":[88],"able":[90],"achieve":[92,199],"excellent":[94],"efficiency":[95],"due":[96],"fact":[99],"it":[101,122,170,195,231],"based":[103],"approach":[106],"high":[108,235],"order,":[110],"allowing":[111],"larger":[113],"stepsizes":[114],"leading":[116],"simulations.":[119,224,270],"We":[120],"compare":[121],"Euler":[125],"\u03c4-leap,":[126],"as":[127,129,144,146,262],"well":[128,145],"two":[130],"more":[131],"recent":[132],"\u03c4-leap":[133],"methods,":[134,230],"number":[137],"example":[139],"problems,":[140,194],"find":[142],"being":[147],"very":[148],"accurate,":[149],"our":[150],"most":[154,172],"robust,":[155],"terms":[157],"efficiency,":[159],"all":[161],"considered":[164],"paper.":[167],"problems":[169],"suited":[173],"those":[176],"increased":[178],"populations":[179],"would":[181],"too":[183],"slow":[184],"simulate":[186],"using":[187],"Gillespie's":[188],"simulation":[190],"algorithm.":[191],"For":[192],"such":[193],"likely":[197],"higher":[200],"weak":[201],"moments.":[205],"CONCLUSIONS:":[206],"novel":[213],"solver":[215],"can":[217],"used":[219],"accurate":[223],"Crucially,":[225],"compared":[226],"other":[228],"similar":[229],"better":[232],"retains":[233],"accuracy":[236],"when":[237],"timesteps":[239],"increased.":[241],"Thus":[242],"computationally":[249],"efficient":[250],"robust.":[252],"These":[253],"key":[255],"properties":[256],"any":[258],"they":[263],"typically":[265],"run":[266],"many":[267],"thousands":[268]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}
