{"id":"https://openalex.org/W7168050522","doi":"https://doi.org/10.1007/s11047-026-10077-6","title":"A theoretical biology framework for exploring the behavioral extensibility of reaction systems","display_name":"A theoretical biology framework for exploring the behavioral extensibility of reaction systems","publication_year":2026,"publication_date":"2026-07-11","ids":{"openalex":"https://openalex.org/W7168050522","doi":"https://doi.org/10.1007/s11047-026-10077-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11047-026-10077-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11047-026-10077-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11047-026-10077-6.pdf","source":{"id":"https://openalex.org/S149828480","display_name":"Natural Computing","issn_l":"1567-7818","issn":["1567-7818","1572-9796"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Natural Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11047-026-10077-6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029845822","display_name":"Artiom Alhazov","orcid":"https://orcid.org/0000-0002-6184-3971"},"institutions":[{"id":"https://openalex.org/I112090838","display_name":"Academy of Sciences of Moldova","ror":"https://ror.org/01w01n720","country_code":"MD","type":"government","lineage":["https://openalex.org/I112090838"]}],"countries":["MD"],"is_corresponding":false,"raw_author_name":"Artiom Alhazov","raw_affiliation_strings":["State University of Moldova, Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5, 2028, Chi\u0219in\u0103u, Moldova"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State University of Moldova, Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5, 2028, Chi\u0219in\u0103u, Moldova","institution_ids":["https://openalex.org/I112090838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000617190","display_name":"Rudolf Freund","orcid":"https://orcid.org/0000-0003-1255-1953"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Rudolf Freund","raw_affiliation_strings":["Faculty of Informatics, TU Wien, Favoritenstra\u00dfe 9\u201311, 1040, Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Informatics, TU Wien, Favoritenstra\u00dfe 9\u201311, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038205943","display_name":"Nicolas Glade","orcid":"https://orcid.org/0000-0002-6176-662X"},"institutions":[{"id":"https://openalex.org/I4210136308","display_name":"Translational Innovation in Medicine and Complexity","ror":"https://ror.org/03985kf35","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210104684","https://openalex.org/I4210136308","https://openalex.org/I4210159245","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Glade","raw_affiliation_strings":["TIMC, Universit\u00e9 Grenoble-Alpes, 6 chemin Saint Ferjus, 38700, La Tronche, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TIMC, Universit\u00e9 Grenoble-Alpes, 6 chemin Saint Ferjus, 38700, La Tronche, France","institution_ids":["https://openalex.org/I4210136308","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140474337","display_name":"Sergiu Ivanov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107733","display_name":"Informatique, BioInformatique, Syst\u00e8mes Complexes","ror":"https://ror.org/01aqxgr98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107733","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sergiu Ivanov","raw_affiliation_strings":["IBISC, Universit\u00e9 \u00c9vry Paris-Saclay, 23, boulevard de France, 91034, \u00c9vry, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBISC, Universit\u00e9 \u00c9vry Paris-Saclay, 23, boulevard de France, 91034, \u00c9vry, France","institution_ids":["https://openalex.org/I4210107733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067423102","display_name":"Sergey Verlan","orcid":"https://orcid.org/0000-0001-7800-1618"},"institutions":[{"id":"https://openalex.org/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sergey Verlan","raw_affiliation_strings":["LACL, Univ. Paris Est Cr\u00e9teil, 61, av. G\u00e9n\u00e9ral de Gaulle, 94010, Cr\u00e9teil, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LACL, Univ. Paris Est Cr\u00e9teil, 61, av. G\u00e9n\u00e9ral de Gaulle, 94010, Cr\u00e9teil, France","institution_ids":["https://openalex.org/I197681013","https://openalex.org/I2800365227"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5140474337"],"corresponding_institution_ids":["https://openalex.org/I4210107733"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.86686792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11445","display_name":"Origins and Evolution of Life","score":0.5254999995231628,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11445","display_name":"Origins and Evolution of Life","score":0.5254999995231628,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.11379999667406082,"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.027899999171495438,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/extensibility","display_name":"Extensibility","score":0.8195000290870667},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6568999886512756},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5004000067710876},{"id":"https://openalex.org/keywords/formal-description","display_name":"Formal description","score":0.4844000041484833},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4781999886035919},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4537000060081482},{"id":"https://openalex.org/keywords/living-systems","display_name":"Living systems","score":0.4397999942302704}],"concepts":[{"id":"https://openalex.org/C32833848","wikidata":"https://www.wikidata.org/wiki/Q4115054","display_name":"Extensibility","level":2,"score":0.8195000290870667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7199000120162964},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6568999886512756},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5004000067710876},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4999000132083893},{"id":"https://openalex.org/C2985583900","wikidata":"https://www.wikidata.org/wiki/Q722617","display_name":"Formal description","level":2,"score":0.4844000041484833},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4781999886035919},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4537000060081482},{"id":"https://openalex.org/C2776184637","wikidata":"https://www.wikidata.org/wiki/Q6506039","display_name":"Living systems","level":2,"score":0.4397999942302704},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.36320000886917114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35339999198913574},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C152662350","wikidata":"https://www.wikidata.org/wiki/Q815297","display_name":"Systems biology","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.29089999198913574},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11047-026-10077-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11047-026-10077-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11047-026-10077-6.pdf","source":{"id":"https://openalex.org/S149828480","display_name":"Natural Computing","issn_l":"1567-7818","issn":["1567-7818","1572-9796"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Natural Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05696853v1","is_oa":false,"landing_page_url":"https://univ-evry.hal.science/hal-05696853","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Natural Computing, 2026, 25 (2), pp.22. &#x27E8;10.1007/s11047-026-10077-6&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11047-026-10077-6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11047-026-10077-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11047-026-10077-6.pdf","source":{"id":"https://openalex.org/S149828480","display_name":"Natural Computing","issn_l":"1567-7818","issn":["1567-7818","1572-9796"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Natural Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7438210480","display_name":null,"funder_award_id":"CalcADN (ANR-24-RRII-0001)","funder_id":"https://openalex.org/F4320322892","funder_display_name":"Centre National de la Recherche Scientifique"}],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168050522.pdf","grobid_xml":"https://content.openalex.org/works/W7168050522.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W588789200","https://openalex.org/W595285250","https://openalex.org/W1489393069","https://openalex.org/W1972648361","https://openalex.org/W1995984957","https://openalex.org/W2002668213","https://openalex.org/W2017288340","https://openalex.org/W2018137441","https://openalex.org/W2023752208","https://openalex.org/W2105557836","https://openalex.org/W2128325638","https://openalex.org/W2132059948","https://openalex.org/W2146183673","https://openalex.org/W2215907076","https://openalex.org/W2287973342","https://openalex.org/W2588843024","https://openalex.org/W2596652947","https://openalex.org/W2621002426","https://openalex.org/W2742475082","https://openalex.org/W2770459703","https://openalex.org/W2922484450","https://openalex.org/W2969484183","https://openalex.org/W2974767025","https://openalex.org/W3089469747","https://openalex.org/W3094432269","https://openalex.org/W3109070087","https://openalex.org/W3121074412","https://openalex.org/W3209289010","https://openalex.org/W4245888925","https://openalex.org/W4299308903","https://openalex.org/W4383066791","https://openalex.org/W4392140894","https://openalex.org/W4394720629","https://openalex.org/W4412019238","https://openalex.org/W4412878303"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"During":[1],"evolution,":[2],"some":[3,79],"living":[4],"systems":[5,74,85,110],"grow":[6],"more":[7],"complex.":[8],"They":[9],"develop":[10],"new":[11,14,43,96],"functions":[12,46],"and":[13,17,20,24,45,67,90,114],"structures:":[15],"flying":[16],"wings,":[18],"digestion":[19],"digestive":[21],"systems,":[22],"swimming":[23],"fins,":[25],"etc.":[26],"Due":[27],"to":[28,77],"natural":[29],"selection,":[30],"this":[31,55,95],"increase":[32],"in":[33,70,75],"complexity":[34],"must":[35],"be":[36],"operated":[37],"while":[38,49],"keeping":[39],"livelihood,":[40],"i.e.,":[41],"the":[42,51,59,63,87,99,126],"structures":[44],"are":[47],"added":[48],"maintaining":[50],"original":[52],"behavior.":[53],"In":[54],"work,":[56],"we":[57,102],"continue":[58],"effort":[60],"of":[61,65,98,125],"representing":[62],"phenomenon":[64],"structural":[66],"behavioral":[68],"extension":[69,127],"abstract":[71],"discrete":[72],"dynamical":[73],"order":[76],"elucidate":[78],"big-picture":[80],"tendencies.":[81],"We":[82,105],"choose":[83],"reaction":[84,109],"as":[86],"formal":[88],"tool,":[89],"propose":[91],"a":[92],"translation":[93],"into":[94],"language":[97],"extensibility":[100],"framework":[101],"developed":[103],"previously.":[104],"argue":[106],"that":[107],"using":[108],"makes":[111],"definitions":[112],"lighter":[113],"therefore":[115],"should":[116],"allow":[117],"for":[118],"better":[119],"insights":[120],"from":[121],"future":[122],"exhaustive":[123],"exploration":[124],"space.":[128]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-07-12T00:00:00"}
