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

DOI10.1016/j.dam.2008.06.030zbMath1172.92015OpenAlexW1966862134MaRDI QIDQ1026224

Ömür Uğur, Gerhard-Wilhelm Weber, Aysun Tezel, Pakize Taylan

Publication date: 24 June 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.06.030

zbMATH Keywords

intervalserrorsuncertaintysplinesmodelingstructural stabilitydynamical systemcomputational biologymatrixdiscretecontinuoushybridconic programmingChebychev approximationgeneralized semi-infinite programming

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Dynamical systems in biology (37N25) Best approximation, Chebyshev systems (41A50) Biochemistry, molecular biology (92C40) Genetics and epigenetics (92D10)

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Uses Software

• ElemStatLearn

Cites Work

• Some remarks on a successive projection sequence
• On generalized semi-infinite programming. (With comments and rejoinder).
• Modeling gene regulatory networks with piecewise linear differential equations
• The semismooth approach for semi-infinite programming under the reduction ansatz
• Generalized semi-infinite programming: On generic local minimizers
• Optimization of gene-environment networks in the presence of errors and uncertainty with Chebychev approximation
• Nonlinear optimization: Characterization of structural stability
• Generalized semi-infinite optimization: A first order optimality condition and examples
• Bi-level strategies in semi-infinite programming.
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• Recent contributions to linear semi-infinite optimization
• On parametric nonlinear programming
• Optimization and dynamics of gene-environment networks with intervals
• An algorithm to analyze stability of gene-expression patterns
• A survey on piecewise-linear models of regulatory dynamical systems
• On generalized semi-infinite optimization of genetic networks
• Stability of dynamical systems: A constructive approach
• Semi-Infinite Programming: Theory, Methods, and Applications
• Mathematical contributions to dynamics and optimization of gene-environment networks
• On Generic One-Parametric Semi-Infinite Optimization
• New approaches to regression by generalized additive models and continuous optimization for modern applications in finance, science and technology
• Linear Optimization Problems with Inexact Data
• An exact sequence in differential topology
• Functional Operators (AM-22), Volume 2
• The elements of statistical learning. Data mining, inference, and prediction
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