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Interaction of fast and slow dynamics in endocrine control systems with an application to \(\beta \)-cell dynamics

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Publication:433665
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DOI10.1016/j.mbs.2011.10.003zbMath1320.92049OpenAlexW2032812866WikidataQ51503047 ScholiaQ51503047MaRDI QIDQ433665

Yi-Fang Wang, Michael Khan, Hugo Antonius van den Berg

Publication date: 5 July 2012

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

Full work available at URL: http://wrap.warwick.ac.uk/42182/1/WRAP_Van_Den_Berg_fastslow.pdf


zbMATH Keywords

glucoseinsulindiabetes\(\beta \)-cellendocrine control system


Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Multiple scale methods for ordinary differential equations (34E13)


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Glycolysis in saccharomyces cerevisiae: algorithmic exploration of robustness and origin of oscillations ⋮ Development of a computational model of glucose toxicity in the progression of diabetes mellitus ⋮ Differential flatness properties and multivariable adaptive fuzzy control of hormonal system dynamics



Cites Work

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  • Mathematical physiology
  • Construction of explicit Runge-Kutta pairs with stiffness detection
  • Multiscale Methods
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