Michailova, McCulloch, 2001

Model Status

This is the original unchecked version of the model imported from the previous CellML model repository, 24-Jan-2006.

Model Structure

Several mathematical models have been developed with the aim of investigating Ca2+ signalling in cardiac muscle. Such models include:

  • Keizer and Levine, RyR Adaptation and Ca2+ Oscillations, 1996

  • Jafri, Rice, Winslow Ventricular Model, 1998

  • Hunter, McCulloch, ter Keurs Model of the Mechanical Properties of Cardiac Muscle, 1998

  • Nygren et al., Human Atrial Cell Model, 1998

  • Winslow et al., Canine Ventricular Cell Model, 1999

  • Rice et al.,Cooperative Mechanisms in Cardiac Muscle, 1999

However, the ability of these models to predict how the binding and transport of Ca2+ and Mg2+ by the mobile buffers ATP and ADP, or how changes in the ratio of [ATP]:[ADP] might influence intracellular ion concentrations and alter the behaviour of ion pumps or currents, is limited.

In the 2001 study by Michailova and McCulloch described here, the authors further develop the cardiac myocyte model of Winslow et al., 1999 by incorporating equations for Ca2+ and Mg2+ buffering and transport by ATP and ADP, in addition to equations which describe the ATP regulation of transmembrane ion transporters (see the figure below).

The complete original paper reference is cited below:

Model Study of ATP and ADP Buffering, Transport of Ca2+ and Mg2+, and Regulation of Ion Pumps in Ventricular Myocyte, Anushka Michailova and Andrew McCulloch, 2001, Biophysical Journal , 81, 614-629. (Full text (HTML) and PDF versions of the article are available to subscribers on the Biophysical Journal website.) PubMed ID: 11463611

Schematic diagram of the mechanisms involved in the model.