1987
DOI: 10.1016/s0006-3495(87)83307-6
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Force-interval relationship in heart muscle of mammals. A calcium compartment model

Abstract: A mathematical model was derived that describes peak force of contraction as a function of stimulus interval and stimulus number in terms of Ca2+ transport between three hypothetical Ca2+ compartments. It includes the conventional uptake and release compartments and recirculation of a fraction r of the activator Ca2+. Peak force is assumed to be proportional to the amount of activator Ca2+ released from the release compartment into the sarcoplasm. A new extension is a slow exchange of Ca2+ with the extracellul… Show more

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Cited by 72 publications
(45 citation statements)
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“…Although the physiological processes that underlie the force-interval relationship are not fully characterized, a number of investigators have demonstrated that developed force after an interposed beat is directly related to the amplitude of the calcium transient (34)(35)(36)(37). This observation has prompted authors to propose a model with, in its simplest form, functional uptake and release compartments for calcium (38)(39)(40). Generally speaking, these models propose that after a contraction calcium is taken up into the uptake compartment but can only be released from the release compartment.…”
Section: Discussionmentioning
confidence: 99%
“…Although the physiological processes that underlie the force-interval relationship are not fully characterized, a number of investigators have demonstrated that developed force after an interposed beat is directly related to the amplitude of the calcium transient (34)(35)(36)(37). This observation has prompted authors to propose a model with, in its simplest form, functional uptake and release compartments for calcium (38)(39)(40). Generally speaking, these models propose that after a contraction calcium is taken up into the uptake compartment but can only be released from the release compartment.…”
Section: Discussionmentioning
confidence: 99%
“…Our interpretation of the results is based on the current model of Ca 2+ transport in heart muscle fibers (1,32,37,39,48,50). Briefly, on excitation the sarcoplasmic retieulum releases its Ca 2+ content into the sarcoplasm, and peak force is proportional to the amount of released Ca 2+.…”
Section: Discussionmentioning
confidence: 98%
“…1). The exponential decay of potentiation is characterized by the decay constant, D, and can be described (39,50) by the empirical equation dP/dt(n + 1) = D x dP/dt(n) + constant,…”
Section: Basic Research In Cardiology !/Ol 85 No 6 (I990)mentioning
confidence: 99%
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“…There have been several studies concerning the force-interval relation of cardiac muscle but most have dealt with isolated hearts or papillary muscle and could not be applied directly to the in situ heart. [6][7][8][9] This difficulty is partly because the preceding interval and the contractile state of the previous beat may modulate the contractile state of the following contraction; thus, there is no means for determining LV contractility on a beat-to-beat basis when there are variations in loading conditions.…”
mentioning
confidence: 99%