1. Ca2+ transients and Ca2+ release flux were determined optically in
cut skeletal muscle fibres under voltage clamp. 'Decay' of release dur
ing a depolarizing pulse was defined as the difference between the pea
k value of release and the much lower steady level reached after about
100 ms of depolarization. Using a double-pulse protocol, the inactiva
ting effect of release was measured by 'suppression', the difference b
etween the peak values of release in the test pulse, in the absence an
d presence of a conditioning pulse that closely preceded the test puls
e. 2. The relationship between decay and suppression was found to foll
ow two simple arithmetic rules. Whenever the conditioning: depolarizat
ion was less than or equal to the test depolarization, decay in the co
nditioning release was approximately equal to suppression of the test
release. Whenever the conditioning depolarization was greater than tha
t of the test, suppression was complete, i.e. test release was reduced
to a function that increased monotonically to a steady level. The ste
ady level was the same with or without conditioning. 3. These arithmet
ic rules suggest that inactivation of Ca2+ release channels is strictl
y and fatally linked to their activation. More than a strict linkage,
however, is required to explain the arithmetic properties. 4. The arit
hmetic rules of inactivation result in three other properties that are
inexplicable with classical models of channel gating: constant suppre
ssion, incremental inactivation and increment detection. These propert
ies were first demonstrated for inositol trisphosphate (IP3)-sensitive
channels and used to define IP3-induced release as quantal. In this s
ense, it can now be stated that skeletal muscle Ca2+ release is activa
ted by membrane voltage in a quantal manner. 5. For both classes of in
tracellular Ca2+ channels, one explanation of the observations is the
existence of subsets of channels with different sensitivities (to volt
age or agonist dose). In an alternative explanation, channels are iden
tical, but have a complex repertoire of voltage- or dose-dependent res
ponses.