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 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 Post-liquefaction reconsolidation of sand

2016 ◽  
Vol 472 (2186) ◽  
pp. 20150745 ◽  
Author(s):  
O. Adamidis ◽  
G. S. P. Madabhushi
Keyword(s):  
Void Ratio ◽  
One Dimensional ◽  
Geotechnical Centrifuge ◽  
Significant Damage ◽  
Pore Water Pressures ◽  
The One ◽  
Crucial Parameter ◽  
Excess Pore ◽  
Good Agreement ◽  
Made In

Loosely packed sand that is saturated with water can liquefy during an earthquake, potentially causing significant damage. Once the shaking is over, the excess pore water pressures that developed during the earthquake gradually dissipate, while the surface of the soil settles, in a process called post-liquefaction reconsolidation. When examining reconsolidation, the soil is typically divided in liquefied and solidified parts, which are modelled separately. The aim of this paper is to show that this fragmentation is not necessary. By assuming that the hydraulic conductivity and the one-dimensional stiffness of liquefied sand have real, positive values, the equation of consolidation can be numerically solved throughout a reconsolidating layer. Predictions made in this manner show good agreement with geotechnical centrifuge experiments. It is shown that the variation of one-dimensional stiffness with effective stress and void ratio is the most crucial parameter in accurately capturing reconsolidation.

Constancy of Axial Spacings in Frog Sartorius Muscle during Contraction

Nature ◽  
1965 ◽  
Vol 206 (4991) ◽  
pp. 1358-1358 ◽  
Author(s):  
H. E. HUXLEY ◽  
W. BROWN ◽  
K. C. HOLMES
Keyword(s):  
Sartorius Muscle ◽  
Frog Sartorius Muscle ◽  
Frog Sartorius
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