Rice, Winslow, Jafri, 1999

Model Structure

Calcium-induced calcium release (CICR) in cardiac muscle displays both gradedness and high gain. It is graded because release of Ca²⁺ from the sarcoplasmic reticulum (SR) is proportional to the influx of trigger Ca²⁺, and high gain refers to the observation that Ca²⁺ release from the SR is much greater than the trigger influx. Inherent to such high-gain systems is positive feedback, which causes an all-or-nothing response rather than graded Ca²⁺ release. Such behaviour is predicted by all mathematical models in which sarcolemmal Ca²⁺ influx and SR Ca²⁺ release are directed into a single compartment, or common pool model.

The previous (1998) model of cardiac calcium handling, (see Jafri-Rice-Winslow Ventricular Model, 1998) by the authors was an example of a common pool model. While it was able to simulate frequency-dependent aspects of cardiac Ca²⁺ cycling and high gain, it also displayed an all-or-none rather than a graded Ca²⁺ release. By contrast, their 1999 model (see the figure below) is based on functional release units (FRUs) formulated from one sarcolemmal dihydropyridine receptor (DHPR), eight ryanodine receptor (RyR) channels, and the volume (subspace) surrounding them. It is assumed that a variable number of independent FRUs can be recruited to produce graded Ca²⁺ release. Voltage-gated DHPR channels open adjacent RyRs via a localised increase in [Ca²⁺].

Results obtained with the stochastic model suggest that high gain and gradedness can occur by the recruitment of independent FRUs without requiring spatial [Ca²⁺] gradients within a functional unit, or coupling between adjacent units.

The complete original paper reference is cited below:

Modeling Gain and Gradedness of Ca²⁺ Release in the Functional Unit of the Cardiac Diadic Space John J. Rice, Saleet Jafri and Raimond L. Winslow, 1999, Biophysical Journal , 77, 1871-1884. (Full text and PDF versions of the article are available for Journal Members on the Biophysical Journal website.) PubMed ID: 10512809

A) Schematic diagram of the functional release unit model. B) State diagram of the DHPR Channel. C) State diagram of the RyR channel.