Hysteresis phenomena between periodic and stationary solutions in a model of pacemaker and nonpacemaker coupled cardiac cells

DOI10.1007/BF00276195zbMath0623.92014WikidataQ52614561 ScholiaQ52614561MaRDI QIDQ1091976

Paco Lorente, Mayer Landau, Stephane Canu, Jacques Henry

Publication date: 1987

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

zbMATH Keywords

subthreshold oscillationspacemakerbifurcation- continuation techniquescardiac electrophysiological modelcell sizescomplete inhibitioncoupled cardiac cellscoupling resistancehysteresis cyclesnon-pacemakersustained rhythmic activity

Mathematics Subject Classification ID

Physiological, cellular and medical topics (92Cxx)

Related Items

\(L^\infty\)-energy method for a parabolic system with convection and hysteresis effect, 𝐿^{∞}-Energy method and its applications to nonlinear partial differential equations, Hysteresis modeling for calcium-mediated ciliary beat frequency in airway epithelial cells, Periodic behaviour in automatic and non-automatic cardiac cells

Uses Software

• HSL
• AUTO

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• The computer-aided bifurcation analysis of predator-prey models
• Numerical solution of bifurcation problems for ordinary differential equations
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item