Theoretical study of a two-dimensional autocatalytic model for calcium dynamics at the extracellular fluid-bone interface

DOI10.1007/BF02460138zbMath0626.92008OpenAlexW2084751952WikidataQ47859549 ScholiaQ47859549MaRDI QIDQ581285

Gerard Milhaud, Anne-Marie Perault-Staub, Philippe Tracqui, Jean-Francois Staub

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460138

zbMATH Keywords

birhythmicitycalcium metabolismextracellular fluid- bone interfacemultistability propertiesnonlinear substructureorder-two autocatalytic processsecondary nucleation mechanismsself-organized compartmental modelstable periodic regimestemporal behaviourstwo- dimensional model

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Physiological, cellular and medical topics (92Cxx)

Related Items

Local bifurcations of an enzyme-catalyzed reaction system with cubic rate law, Analysis of degenerate hopf bifurcations for a nonlinear model of calcium metabolism, Theoretical study of a two-dimensional autocatalytic model for calcium dynamics at the extracellular fluid-bone interface, Bifurcation Analysis of an Enzyme Reaction System with General Power of Autocatalysis, Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface, Mixed-mode oscillation genealogy in a compartmental model of bone mineral metabolism

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