scholarly journals The Effect of Shortening on the Time-Course of Active State Decay

1972 ◽  
Vol 60 (2) ◽  
pp. 202-220 ◽  
Author(s):  
Kay L. Briden ◽  
Norman R. Alpert
Keyword(s):  
Time Course ◽  
Active State ◽  
Sartorius Muscle ◽  
Quick Release ◽  
State Decay ◽  
State Force ◽  
Contraction Cycle ◽  
Frog Sartorius ◽  
Isotonic Shortening

The active state describes the force developed in a muscle when the contractile elements are neither lengthening nor shortening. Recently it was suggested that perturbations used to measure the active state also alter the time-course of the active state. The present research was undertaken to assess quantitatively the effect of two such perturbations, isotonic shortening and quick release, on the active state in frog sartorius muscle. Methods were developed which allowed the determination of active state points following periods of controlled isotonic shortening or quick release early in the contraction cycle. All experiments were carried out within the plateau region of the length-tension curve. Both isotonic shortening and quick release altered the active state decay. The active state force decreased as the extent of shortening or release was increased. For each 0.1 mm of isotonic shortening there was a 2% decrease in active state force. Quick release produced a larger decrement. From this data we conclude that the time-course of active state can be measured only in relative terms because it is altered by the motion which takes place in the contractile machine while the active state is being measured. This finding helps to resolve paradoxes in the literature relating to the time-course of the active state, calculated and experimentally determined isometric tetanic myograms, and the heat of shortening.

scholarly journals Reappraisal of diffusion, solubility, and consumption of oxygen in frog skeletal muscle, with applications to muscle energy balance.

1985 ◽  
Vol 86 (1) ◽  
pp. 105-134 ◽  
Author(s):  
M Mahler ◽  
C Louy ◽  
E Homsher ◽  
A Peskoff
Keyword(s):  
Diffusion Equation ◽  
Time Course ◽  
Atp Hydrolysis ◽  
Rana Temporaria ◽  
Direct Method ◽  
Diffusion Method ◽  
Sartorius Muscle ◽  
O2 Consumption ◽  
Dimensional Diffusion ◽  
Frog Sartorius

Previously we tested the validity of the one-dimensional diffusion equation for O2 in the excised frog sartorius muscle and used it to measure the diffusion coefficient (D) for O2 in this muscle and the time course of its rate of O2 consumption (Qo2) after a tetanus (Mahler, 1978, 1979, J. Gen. Physiol., 71:533-557, 559-580, 73:159-174). A transverse section of the frog sartorius is in fact well fit by a hemi-ellipse with width divided by maximum thickness averaging 5.1 +/- 0.2. Using the previous techniques with the two-dimensional diffusion equation and this hemi-elliptical boundary yields a value for D that is 30% smaller than reported previously; the revised values at 0, 10, and 22.8 degrees C are 6.2, 7.9, and 10.8 X 10(-6) cm2/s, respectively. After a tetanus at 20 degrees C, Qo2 rose quickly to a peak and then declined exponentially, with a time constant (tau) approximately 15% faster than that reported previously; tau averaged 2.1 min in Rana temporaria and 2.6 min in Rana pipiens. A technique was devised to measure the solubility (alpha) of O2 in intact, respiring muscles, and yielded alpha (muscle)/alpha (H2O) = 1.26 +/- 0.04. With these modifications, the values for O2 consumption obtained with the diffusion method were in agreement with those measured by the direct method of Kushmerick and Paul (1976, J. Physiol. [Lond.]., 254:693-709). Using results from both methods, at 20 degrees C the ratio of phosphorylcreatine split during a tetanus to O2 consumption during recovery ranged from 5.2 to 6.2 mumol/mumol, and postcontractile ATP hydrolysis was estimated to be 13.6 +/- 4.1 (n = 3) nmol/mumol total creatine.

scholarly journals Kinetics of oxygen consumption after a single isometric tetanus of frog sartorius muscle at 20 degrees C.

1978 ◽  
Vol 71 (5) ◽  
pp. 559-580 ◽  
Author(s):  
M Mahler
Keyword(s):  
Oxygen Consumption ◽  
Time Course ◽  
Atp Hydrolysis ◽  
Preceding Paper ◽  
Nonlinear Process ◽  
Forthcoming Paper ◽  
Sartorius Muscle ◽  
Frog Sartorius Muscle ◽  
Kinetics Of ◽  
Frog Sartorius

The time-course of the rate of oxygen consumption (QO2) has been measured in the excised frog sartorius muscle after single isometric tetani of 0.1-1.0 s at 20 degrees C. To measure deltaQO2(t), the change in QO2 from its basal level, a novel method was devised, based on the validity in this tissue of the one-dimensional diffusion equation for oxygen, established in the preceding paper. After a tetanus, deltaQO2 reached a peak within 45-90 s, then declined exponentially, and could be well fit by deltaQO2(t) = QO + Q1(epsilon -k1t - epsilon-k2t). tau2 (= 1/k2), which characterized the rise of deltaQO2, was a decreasing function of tetanus duration (range: from 1.1 +/- 0.28 min [nu = 5] for a 0.1-s tetanus, to 0.34 +/- 0.05 min [nu = 8] for a 1.0-sec tetanus). tau1 (= 1/k1), which characterized the decline of deltaQO2, was not dependent on tetanus duration, with mean 3.68 +/- -.24 min (nu = 46). A forthcoming paper in this series shows that these kinetics of deltaQO2 are the responses to impulse-like changes in the rate of ATP hydrolysis. The variation of tau2 with tetanus duration thus indicates the involvement of a nonlinear process in the coupling of O2 consumption to ATP hydrolysis. However, the monoexponential decline of deltaQO2(t), with time constant independent of tetanus duration, suggests that during this phase, the coupling is rate-limited by a single reaction with apparent first order kinetics.

scholarly journals Diffusion and consumption of oxygen in the resting frog sartorius muscle.

1978 ◽  
Vol 71 (5) ◽  
pp. 533-557 ◽  
Author(s):  
M Mahler
Keyword(s):  
Diffusion Equation ◽  
Time Course ◽  
Muscle Thickness ◽  
Oxygen Electrode ◽  
Sartorius Muscle ◽  
One Dimensional ◽  
Frog Sartorius Muscle ◽  
The One ◽  
Frog Sartorius ◽  
Made In

Adaptations of the method of Takahashi et al. (1966. J. Gen. Physiol. 50:317-333) were used to test the validity of the one-dimensional diffusion equation for O2 in the resting excised frog sartorius muscle. This equation is: (formula: see text) where x is the distance perpendicular to the muscle surface. t is time, P(x, t) is the partial pressure of O2,D and alpha are the diffusion coefficient and solubility for O2 in the tissue, and Q is the rate of O2 consumption. P(O, t), the time-course of PO2 at one muscle surface, was measured by a micro-oxygen electrode. Transients in the PO2 profile of the muscle were induced by two methods: (a) after an equilibration period, one surface was sealed off by a disc in which the O2 electrode was embedded; (b) when PO2 at this surface reached a steady state, a step change was made in the PO2 at the other surface. With either method, the agreement between the measured P(O, t) and that predicted by the diffusion equation was excellent, making possible the calculation of D and Q. These two methods yielded statistically indistinguishable results, with the following pooled means (+/- SEM): (formula: see text) At each temperature, D was independent of muscle thickness (range, 0.67-1.34 mm). The activation energy (EA) for diffusion of oxygen in muscle was -3.85 kcal/mol, which closely matches the corresponding value in water. Together with absolute values of D in water taken from the literature, the present data imply that (Dmuscle/DH2O) is in the range 0.59-0.69. This value, and that of EA, are in agreement with the theory of Wang (1954, J. Am. Chem. Soc. 76:4755-4763), suggesting that with respects to the diffusion of O2, to a useful approximation, frog skeletal muscle may be considered simply as a homogeneous protein solution.

scholarly journals The relationship between initial creatine phosphate breakdown and recovery oxygen consumption for a single isometric tetanus of the frog sartorius muscle at 20 degrees C.

1979 ◽  
Vol 73 (2) ◽  
pp. 159-174 ◽  
Author(s):  
M Mahler
Keyword(s):  
Oxygen Consumption ◽  
Time Course ◽  
Atp Hydrolysis ◽  
Creatine Phosphate ◽  
Sartorius Muscle ◽  
Exothermic Reactions ◽  
Rate Of Oxygen Consumption ◽  
The Relationship ◽  
Frog Sartorius

A previous paper (Mahler, M. 1978 J. Gen. Physiol. 71:559--580) describes the time-course of the suprabasal rate of oxygen consumption (delta QO2) in the sartorius muscle of R. pipiens after isometric tetani of 0.1--1.0 s at 20 degrees C. To test whether these were the responses to impulse changes in the rate of ATP hydrolysis, we compared the total suprabasal oxygen consumption during recovery (delta[O2]) with the amount of ATP hydrolyzed during a contraction, measured indirectly as the decrease in creatine phosphate (delta[CP]O). If suprabasal ATP hydrolysis during recovery is negligible in comparison with that during contraction, delta[CP]0/delta[O2] should approximate the P:O2 ratio for oxidative metabolism, which has an expected value of 6.1--6.5. We found: formula; see text. We conclude that in this muscle at 20 degrees C: (a) after a tetanus of 0.2--1.0 s, delta QO2(t) can be considered the response to an impulse increase in the rate of ATP hydrolysis; (b) the reversal during recovery of unidentified exothermic reactions occurring during the contraction (Woledge, R. C. 1971. Prog. Biophys. Mol. Biol. 22:39--74) can be coupled to an ATP hydrolysis that is at most a small fraction of delta[CP]0; (c) the pooled mean for delta[CP]0/delta[O2], 6.58 +/- 0.55, sets an experimental lower bound for the P:O2 ratio in vivo.

The effects of pH on the kinetics of fatigue and recovery in frog sartorius muscle

1985 ◽  
Vol 63 (11) ◽  
pp. 1435-1443 ◽  
Author(s):  
J. M. Renaud ◽  
G. W. Mainwood
Keyword(s):  
Extracellular Ph ◽  
Sartorius Muscle ◽  
Frog Sartorius Muscle ◽  
Fatigue Development ◽  
Effects Of Ph ◽  
Force Recovery ◽  
Ph Dependent ◽  
Contraction Cycle ◽  
Kinetics Of ◽  
Frog Sartorius

The effects of pH on the kinetics of fatigue and recovery in frog sartorius muscle were studied to establish whether the pH to which muscles are exposed (extracellular pH) has an effect on both the rate of fatigue development and recovery from fatigue. When frog sartorius muscles were stimulated with short tetanic stimuli at rates varying from 0.2 to 2.0 trains/s, a time- and frequency-dependent decrease in force development was observed, but extracellular pH had comparatively little effect. The recovery of tetanic force was dependent on the extracellular pH. This effect was characterized by a rapid recovery in force at pH 8.0 and an inhibition of recovery at pH 6.4 even when force decreased by only 25% during stimulation. Even when muscles were fatigued at pH 8.0 the rate of force recovery was still very small at pH 6.4. A model is proposed in which a step of the contraction cycle changes from a normal to a fatigued state. The rate of this transition is a function of the stimulation frequency and not pH. The reverse transition, from a fatigued to normal state is pH dependent; i.e., it is inhibited by H+. Measurements of resting and action potentials show that extracellular pH influences these parameters in the fatigue state, but there is no evidence that these changes are directly responsible for the pH-dependent step in the reversal of fatigue.

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