The kinetics relating calcium and force in skeletal muscle

Stein, Richard B.; Bobet, Jacques; Oguztöreli, Mehmet N.; Fryer, M W

doi:10.1016/s0006-3495(88)83006-6

Cited by 41 publications

(21 citation statements)

References 39 publications

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“…We assume that r increases to 1 immediately following the firing of an action potential, which is assumed to be very brief (Ͻ1 ms), and decays exponentially with a time constant r . This assumption is based on several studies with skeletal muscles (Miledi et al, 1982;Stein et al, 1988), in which intracellular Ca 2ϩ transients, in response to repetitive action potentials, exhibited sublinear processes. The value of r (fraction of open RyRs) between spikes k and k ϩ 1 is therefore…”

Section: Methodsmentioning

confidence: 99%

Temporal and Spatial Characteristics of Vibrissa Responses to Motor Commands

Simony¹,

Bagdasarian²,

Herfst³

et al. 2010

Journal of Neuroscience

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A mechanistic description of the generation of whisker movements is essential for understanding the control of whisking and vibrissal active touch. We explore how facial-motoneuron spikes are translated, via an intrinsic muscle, to whisker movements. This is achieved by constructing, simulating, and analyzing a computational, biomechanical model of the motor plant, and by measuring spiking to movement transformations at small and large angles using high-precision whisker tracking in vivo. Our measurements revealed a supralinear summation of whisker protraction angles in response to consecutive motoneuron spikes with moderate interspike intervals (5 ms Ͻ ⌬t Ͻ 30 ms). This behavior is explained by a nonlinear transformation from intracellular changes in Ca 2ϩ concentration to muscle force. Our model predicts the following spatial constraints: (1) Contraction of a single intrinsic muscle results in movement of its two attached whiskers with different amplitudes; the relative amplitudes depend on the resting angles and on the attachment location of the intrinsic muscle on the anterior whisker. Counterintuitively, for a certain range of resting angles, activation of a single intrinsic muscle can lead to a retraction of one of its two attached whiskers. (2) When a whisker is pulled by its two adjacent muscles with similar forces, the protraction amplitude depends only weakly on the resting angle. (3) Contractions of two adjacent muscles sums up linearly for small amplitudes and supralinearly for larger amplitudes. The model provides a direct translation from motoneuron spikes to whisker movements and can serve as a building block in closed-loop motor-sensory models of active touch.

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Section: Methodsmentioning

confidence: 99%

Temporal and Spatial Characteristics of Vibrissa Responses to Motor Commands

Simony¹,

Bagdasarian²,

Herfst³

et al. 2010

Journal of Neuroscience

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“…It was assumed, for simplicity, that the muscle contraction is limited by calcium kinetics, namely that Ca 2 diffusion in the cytoplasm and acto-myosin cross-bridge formations are rapid and not acting as rate limiting factors [36]- [38]. The active state of the muscle was thus expressed by the following two dynamic variables: a) Ca 2 concentration: The temporal intracellular (myoplasm) free concentration of Ca 2 ions, [Ca] , is governed by the release and uptake of calcium from and into the SR.…”

Section: ) the Musculotendon Modelmentioning

confidence: 99%

“…If there is no cooperativity between the sites, then the reaction between calcium and troponin is modeled by the following first-order reaction [38]: (10) given by the differential equation: The rate constants and express respectively, the forward and backward Ca 2 -troponin kinetics [37], [38]. It was shown that force production is proportional to the number of Ca 2 ions bound to each troponin molecule [38], hence, , and with . The parameters used in (9) and (11) are given in Table II [41], [42].…”

Section: ) the Musculotendon Modelmentioning

confidence: 99%

“…Rest conditions and values for the nonspecific muscle parameters were taken from previous works [6], [24], [43]. Rate constants and physiological parameters for the excitation-contraction mechanism were taken from given experimental data on calcium kinetics in skeletal muscle [36]- [38], [42], [44]. Note that the initial fiber length, that corresponds with the steady state solution at a certain knee angle was obtained by solving (5) in which the initial values were substituted.…”

Section: ) Computation Formulationmentioning

confidence: 99%

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EMG and metabolite-based prediction of force in paralyzed quadriceps muscle under interrupted stimulation

Levin

Mizrahi

1999

IEEE Trans. Rehab. Eng.

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Abstract-A major issue associated with functional electrical stimulation (FES) of a paralyzed limb is the decay with time of the muscle force as a result of fatigue. A possible means to reduce fatigue during FES is by using interrupted stimulation, in which fatigue and recovery occur in sequence. In this study, we present a model which enables us to evaluate the temporal force generation capacity within the electrically activated muscle during first stimulation fatigue, i.e., when the muscle is activated from unfatigued initial conditions, and during postrest stimulation, i.e., after different given rest durations. The force history of the muscle is determined by the activation as derived from actually measured electromyogram (EMG) data, and by the metabolic fatigue function expressing the temporal changes of muscle metabolites, from existing data acquired by in vivo

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“…[Japanese Journal of Physiology, 52, [479][480][481][482][483][484][485][486][487]2002] [ [16][17][18]. Twitch tension, generated by direct electrical stimulation, depends on interactions between different processes mentioned above and any change in the developed tension could be related to changes in the different steps of the excitation-contraction coupling mechanism [19,20]. However, in order to look at excitation-contraction coupling directly, without complications of additional effects due to the action potential, potassium (K ϩ ) contracture was generally used rather than twitch tension response.…”

mentioning

confidence: 99%

Post-Effects of Nandrolone Decanoate Treatment on Contractile Responses of Rat Skeletal Muscles

Joumaa

Bouhlel²,

Léoty³

2002

Jpn.J.Physiol

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steroids have been a subject of great interest in recent years. However, animal studies have given contradictory results, ranging from an insignificant effect [1] to improvement in physical working capacity [2], strength [3][4][5], protein synthesis [6], lysosomal and mitochondrial activities [7], and functioning of the sarcotubular system [8]. In general, many factors make it difficult to compare results, such as the species used, the gender and age of animals, the type of muscle studied [3,[9][10][11], experimental conditions, the specific anabolic androgenic steroids used [12], the doses, the mode and period of administration [6,[13][14][15], and the diet [5].In skeletal muscle, contraction is generated when action potentials invade the interior of individual fibers along the membrane of the transverse tubule system (T-tubule). The passage of the action potential is followed by an increase in free myoplasmic calcium concentration that activates troponin and allows crossbridge cycling and contraction. Changes in Ca 2ϩ concentration depend on an interaction between different processes: T-tubule action potential, voltage-sensor response, putative excitation-contraction coupling mechanism, the properties of the Ca 2ϩ release channel, Ca 2ϩ diffusion to and through myofibrils, Ca Japanese Journal of Physiology, 52, 479-487, 2002 Key words: anabolic androgenic steroid, contraction. Abstract:The post-effects of nandrolone decanoate treatment (15 mg · kg Ϫ1 · week Ϫ1) were studied on contractile responses of isolated small bundles of intact slow-(soleus) and fast-(extensor digitorum longus, edl) twitch fibers in rat. Five weeks of treatment induced, in edl, an increase in the amplitude of twitch (55%) and K ϩ contracture (32%) without significant change in the time constant of relaxation and caffeine contracture. In soleus, an increase in the amplitude of twitch (35%) and caffeine contracture (0.2 mM: 218%, 0.5 mM: 88%, 5 mM: 28%, and 10 mM: 25%) was observed without change in K ϩ contracture characteristics. In addition to these effects, 10 weeks of drug treatment increased the amplitude of soleus K ϩ contracture (29%) and edl caffeine contracture (0.2 mM: 247%, 0.5 mM: 170%, 5 mM: 29%, and 10 mM: 45%), and reduced the 50% recovery time for K ϩ contracture (EC 50 ) (soleus: 37%, edl: 12%). After 5-week treatment followed by 5-week arrest, as compared to the control group, no change in the amplitude of twitch, K ϩ or caffeine contractures was found in edl. In soleus, although no significant difference was observed in the amplitude of twitch, the amplitude of K ϩ (35%) and caffeine contractures (0.2 mM: 227%, 0.5 mM: 128%) remained greater than the control group. Moreover, the EC 50 values were prolonged (46%) in soleus, whereas no significant difference was observed in edl. The present work suggests that nandrolone decanoate treatment induced differential post-effects on contractile responses developed in slowand fast-twitch skeletal muscles by acting differently on the different steps of the excitation-contractio...

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The kinetics relating calcium and force in skeletal muscle

Cited by 41 publications

References 39 publications

Temporal and Spatial Characteristics of Vibrissa Responses to Motor Commands

Temporal and Spatial Characteristics of Vibrissa Responses to Motor Commands

EMG and metabolite-based prediction of force in paralyzed quadriceps muscle under interrupted stimulation

Post-Effects of Nandrolone Decanoate Treatment on Contractile Responses of Rat Skeletal Muscles

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