{"id":"https://openalex.org/W72509845","doi":"https://doi.org/10.1007/978-3-642-40708-6_2","title":"Numerical Approximation of Rare Event Probabilities in Biochemically Reacting Systems","display_name":"Numerical Approximation of Rare Event Probabilities in Biochemically Reacting Systems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W72509845","doi":"https://doi.org/10.1007/978-3-642-40708-6_2","mag":"72509845"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-40708-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40708-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057440935","display_name":"Linar Mikeev","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Linar Mikeev","raw_affiliation_strings":["Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012212299","display_name":"Werner Sandmann","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Werner Sandmann","raw_affiliation_strings":["Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089228948","display_name":"Verena Wolf","orcid":"https://orcid.org/0000-0001-8460-6007"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Verena Wolf","raw_affiliation_strings":["Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Saarland University, Campus E1 3, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057440935"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1603,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.7792689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"5","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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/T10120","display_name":"Bacterial Genetics and Biotechnology","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9646000266075134,"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/truncation","display_name":"Truncation (statistics)","score":0.7664985656738281},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7508234977722168},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.6806895732879639},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6527566909790039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6468787789344788},{"id":"https://openalex.org/keywords/rare-events","display_name":"Rare events","score":0.6271772980690002},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5161939263343811},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.507513165473938},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.4951387941837311},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46264374256134033},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4595881700515747},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.43712177872657776},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4197843074798584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34780943393707275},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28208956122398376},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15776079893112183},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11561349034309387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08630910515785217},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08131980895996094}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.7664985656738281},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7508234977722168},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.6806895732879639},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6527566909790039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6468787789344788},{"id":"https://openalex.org/C2777317252","wikidata":"https://www.wikidata.org/wiki/Q18393516","display_name":"Rare events","level":2,"score":0.6271772980690002},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5161939263343811},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.507513165473938},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.4951387941837311},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46264374256134033},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4595881700515747},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.43712177872657776},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4197843074798584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34780943393707275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28208956122398376},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15776079893112183},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11561349034309387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08630910515785217},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08131980895996094},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-40708-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-40708-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W5385147","https://openalex.org/W34142743","https://openalex.org/W48288425","https://openalex.org/W242065599","https://openalex.org/W1514324734","https://openalex.org/W1516904278","https://openalex.org/W1522950143","https://openalex.org/W1535653284","https://openalex.org/W1543750907","https://openalex.org/W1592379908","https://openalex.org/W1597944220","https://openalex.org/W1621653743","https://openalex.org/W1946177469","https://openalex.org/W1968856189","https://openalex.org/W1976443948","https://openalex.org/W1978319180","https://openalex.org/W1980269662","https://openalex.org/W1983663927","https://openalex.org/W1997982531","https://openalex.org/W2014426364","https://openalex.org/W2018075920","https://openalex.org/W2018435536","https://openalex.org/W2042321087","https://openalex.org/W2059007465","https://openalex.org/W2059268258","https://openalex.org/W2073095544","https://openalex.org/W2073148112","https://openalex.org/W2077046573","https://openalex.org/W2078119846","https://openalex.org/W2082404215","https://openalex.org/W2085061065","https://openalex.org/W2102787760","https://openalex.org/W2104525378","https://openalex.org/W2116620527","https://openalex.org/W2139374901","https://openalex.org/W2155418451","https://openalex.org/W2494148899","https://openalex.org/W2903925079","https://openalex.org/W3008437073","https://openalex.org/W4211042066","https://openalex.org/W4235045732","https://openalex.org/W4253187718","https://openalex.org/W4300472753","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2044869171","https://openalex.org/W2073514592"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}