Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex

DOI10.1016/S0167-2789(97)00229-7zbMath0932.92024OpenAlexW2083442285MaRDI QIDQ1963768

Yanyan Li

Publication date: 7 February 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00229-7

zbMATH Keywords

bifurcationsphase response curveneural activitybaroreflex

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiology (general) (92C30)

Related Items (11)

A delay recruitment model of the cardiovascular control system ⋮ Contractivity properties of a class of linear multistep methods for nonlinear neutral delay differential equations ⋮ The baroreflex mechanism revisited ⋮ Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string. ⋮ Bactria and lytic phage coexistence in a chemostat with periodic nutrient supply ⋮ Central regulation of heart rate and the appearance of respiratory sinus arrhythmia: new insights from mathematical modeling ⋮ Seidel-Herzel model of human baroreflex in cardiorespiratory system with stochastic delays ⋮ From 1/f noise to multifractal cascades in heartbeat dynamics ⋮ Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations ⋮ Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization ⋮ Mathematical analysis of Mayer waves

Cites Work

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• Chaotic attractors of an infinite-dimensional dynamical system
• Oscillatory modes in a nonlinear second-order differential equation with delay
• Cardiac arrhythmias and circle maps−A classical problem
• Dynamics of heart rate
• Oscillation and Chaos in Physiological Control Systems

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