On optimization, dynamics and uncertainty: A tutorial for gene-environment networks

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dc.contributor.authorWeber, G. -W.
dc.contributor.authorUgur, Oe
dc.contributor.authorTaylan, P.
dc.contributor.authorTezel, A.
dc.date.accessioned2024-04-24T16:11:15Z
dc.date.available2024-04-24T16:11:15Z
dc.date.issued2009
dc.departmentDicle Üniversitesien_US
dc.descriptionWorkshop on Networks in Computational Biology -- SEP 10-12, 2006 -- Middle East Tech Univ, Ankara, TURKEYen_US
dc.description.abstractAn emerging research area in computational biology and biotechnology is devoted to mathematical modeling and prediction of gene-expression patterns; to fully understand its foundations requires a mathematical study. This paper surveys and mathematically expands recent advances in modeling and prediction by rigorously introducing the environment and aspects of errors and uncertainty into the genetic context within the framework of matrix and interval arithmetic. Given the data from DNA microarray experiments and environmental measurements we extract nonlinear ordinary differential equations which contain parameters that are to be determined. This is done by a generalized Chebychev approximation and generalized semi-infinite optimization. Then, time-discretized dynamical systems are studied. By a combinatorial algorithm which constructs and follows polyhedra sequences, the region of parametric stability is detected. Finally, we analyze the topological landscape of gene-environment networks in terms of structural stability. This pioneering work is practically motivated and theoretically elaborated; it is directed towards contributing to applications concerning better health care, progress in medicine, a better education and more healthy living conditions. (C) 2008 Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.dam.2008.06.030
dc.identifier.endpage2513en_US
dc.identifier.issn0166-218X
dc.identifier.issn1872-6771
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-67349274997
dc.identifier.scopusqualityQ1
dc.identifier.startpage2494en_US
dc.identifier.urihttps://doi.org/10.1016/j.dam.2008.06.030
dc.identifier.urihttps://hdl.handle.net/11468/15326
dc.identifier.volume157en_US
dc.identifier.wosWOS:000266758500026
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofDiscrete Applied Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectComputational Biologyen_US
dc.subjectChebychev Approximationen_US
dc.subjectGeneralized Semi-Infinite Programmingen_US
dc.subjectErrorsen_US
dc.subjectUncertaintyen_US
dc.subjectModelingen_US
dc.subjectDynamical Systemen_US
dc.subjectIntervalsen_US
dc.subjectMatrixen_US
dc.subjectStructural Stabilityen_US
dc.subjectSplinesen_US
dc.subjectConic Programmingen_US
dc.subjectContinuousen_US
dc.subjectDiscreteen_US
dc.subjectHybriden_US
dc.titleOn optimization, dynamics and uncertainty: A tutorial for gene-environment networksen_US
dc.titleOn optimization, dynamics and uncertainty: A tutorial for gene-environment networks
dc.typeConference Objecten_US

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