Excitation-contraction coupling model to estimate the recirculating fraction of activator calcium in intact cardiac muscle.

Potentiated contractions were evoked with rapid pace pause maneuver in 14 length-clamped ferret papillary muscles paced 12 times/min at 25 degrees C. At 1.25 mM [Ca2+]o the average steady-state force was 2.94 +/- 1.08 g/mm2 and the potentiated contraction averaged 10.96 +/- 1.61 g/mm2. At 5.0 mM [Ca2+]o the steady-state force increased to 6.18 +/- 1.23 g/mm2 and the potentiated contraction averaged 12.08 +/- 1.15 g/mm2. Under the conditions of these experiments the potentiated contraction obtained at 5.0 mM [Ca2+]o is equal to the maximum twitch tension (Fmax) these muscles can generate. We have previously shown that Fmax is an equivalent of maximal calcium activated force. Since there is a beat to beat nearly exponential decay of the evoked potentiation, the fraction (= fraction x) of the potentiation that is not dissipated with each beat is nearly constant. Using an excitation-contraction coupling model we have previously found that x reflects a measure of the recirculating fraction of activator calcium. Because the tension-calcium relationship is better characterized by a sigmoidal curve, we have now incorporated the Hill equation in the model. To account for the inverse relationship between [Ca2+]i and the magnitude of the slow inward current, a term for negative feedback (h) was also included. We have determined the quantity (x-h) because x and h could not be determined separately. The quantity (x-h) was denoted as x'. The average values of x' at 1.25 and 5.0 mM [Ca2+]o were significantly different (p less than 0.0001), approximately 20% at the lower [Ca2+]o and about 50% at the higher [Ca2+]o.(ABSTRACT TRUNCATED AT 250 WORDS)