Foundations of semialgebraic gebe-environment networks

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dc.authoridErfan Babaee Tirkolaee / 0000-0003-1664-9210
dc.authorscopusidErfan Babaee Tirkolaee / 57196032874
dc.authorwosidErfan Babaee Tirkolaee / U-3676-2017
dc.contributor.authorKropat, Erik
dc.contributor.authorWeber, Gerhard-Wilhelm
dc.contributor.authorTirkolaee, Erfan Babaee
dc.date.accessioned2020-10-21T08:16:58Z
dc.date.available2020-10-21T08:16:58Z
dc.date.issued2020en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractGene-environment network studies rely on data originating from different disciplines such as chemistry, biology, psychology or social sciences. Sophisticated regulatory models are required for a deeper investigation of the unknown and hidden functional relationships between genetic and environmental factors. At the same time, various kinds of uncertainty can arise and interfere with the system's evolution. The aim of this study is to go beyond traditional stochastic approaches and to propose a novel framework of semialgebraic gene-environment networks. Foundation is laid for future research, methodology and application. This approach is a natural extension of interconnected systems based on stochastic, polyhedral, ellipsoidal or fuzzy (linguistic) uncertainty. It allows for a reconstruction of the underlying network from uncertain (semialgebraic) data sets and for a prediction of the uncertain futures states of the system. In addition, aspects of network pruning for large regulatory systems in genome-wide studies are discussed leading to mixed-integer programming (MIP) and continuous programming.en_US
dc.identifier.citationKropat, E., Weber, G. W., & Tirkolaee, E. B. (2020). Foundations of semialgebraic gene-environment networks. Journal of Dynamics & Games, 7(4), 253.en_US
dc.identifier.doi10.3934/jdg.2020018en_US
dc.identifier.endpage268en_US
dc.identifier.issn2164-6066en_US
dc.identifier.issue4en_US
dc.identifier.startpage253en_US
dc.identifier.urihttps://doi.org/10.3934/jdg.2020018
dc.identifier.urihttps://hdl.handle.net/20.500.12713/1149
dc.identifier.volume7en_US
dc.identifier.wosWOS:000575815100001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorTirkolaee, Erfan Babaee
dc.language.isoenen_US
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMSen_US
dc.relation.ispartofJOURNAL OF DYNAMICS AND GAMESen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGene-Environment Networksen_US
dc.subjectSemialgebraic Regressionen_US
dc.subjectSemialgebraic Uncertaintyen_US
dc.subjectGeometric Modelen_US
dc.subjectForecastingen_US
dc.subjectUncertainty Modelingen_US
dc.subjectMixed-Integer Programmingen_US
dc.subjectContinuous Programmingen_US
dc.titleFoundations of semialgebraic gebe-environment networksen_US
dc.typeArticleen_US

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