Piecewise synergetic systems and applications in biochemical systems theory

DOI10.1515/gmj-2016-0065zbMath1358.92045OpenAlexW2562068785MaRDI QIDQ516915

Anna Machina, Arcady Ponosov, Valeria Tafintseva

Publication date: 15 March 2017

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11250/2491401

zbMATH Keywords

optimizationparameter estimationuniform convergencesteady statespiecewise approximations

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Discontinuous ordinary differential equations (34A36) Algorithms for approximation of functions (65D15)

Cites Work

• A comparison of variant theories of intact biochemical systems. I: Enzyme-enzyme interactions and biochemical systems theory
• A comparison of variant theories of intact biochemical systems. II: Flux- oriented and metabolic control theories
• Strategies for representing metabolic pathways within biochemical systems theory: Reversible pathways
• A methodological basis for description and analysis of systems with complex switch-like interactions
• Analysis and generic properties of gene regulatory networks with graded response functions
• Alternative designs for a genetic switch: Analysis of switching times using the piecewise power-law representation
• Polynomial representations of piecewise-linear differential equations arising from gene regulatory networks
• Deterministic global optimization. Theory, methods and applications
• Recent developments in parameter estimation and structure identification of biochemical and genomic systems
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