FURTHER CONSIDERATIONS ON THE CALCULATIONS OF SECRETION RATES. A CORRECTION

1961 ◽  
Vol 38 (3) ◽  
pp. 469-472 ◽  
Author(s):  
K. R. Laumas ◽  
J. F. Tait ◽  
S. A. S. Tait
Keyword(s):  
Steady State ◽  
Compartmental Model ◽  
Single Injection ◽  
Previous Treatment ◽  
Urinary Metabolite ◽  
Theoretical Treatment ◽  
Basic Equations ◽  
Special Circumstances ◽  
Secretion Rates

ABSTRACT Reconsideration of the question of the validity of the calculations of the secretion rates from the specificity activity of a urinary metabolite after the single injection of a radioactive hormone has led us to conclude that the basic equations used in a previous theoretical treatment are not generally applicable to the nonisotopic steady state if the radioactive steroid and hormone are introduced into the same compartment. If this is so, in a two compartmental model with metabolism occurring in both pools, it is now shown that the calculation (S = R — τ) is rigorously valid if certain precautions are taken. This is in contrast to the previous treatment which concluded (in certain special circumstances) that the calculation might not be correct. However, if the hormone is secreted in both compartments and the radioactive steroid is injected into only one, then the calculation (S = R — τ) may not be correct in certain circumstances as was previously concluded (Laumas et al. 1961).

THE VALIDITY OF THE CALCULATION OF SECRETION RATES FROM THE SPECIFIC ACTIVITY OF A URINARY METABOLITE

1961 ◽  
Vol 36 (2) ◽  
pp. 265-280 ◽  
Author(s):  
K. R. Laumas ◽  
J. F.. Tait ◽  
S. A. S. Tait
Keyword(s):  
Continuous Infusion ◽  
Experimental Test ◽  
Specific Activity ◽  
Single Injection ◽  
Hormone Secretion ◽  
The Body ◽  
The Other ◽  
Urinary Metabolite ◽  
Specific Activities ◽  
Secretion Rates

ABSTRACT The validity of the calculation of secretion rates from the specific activity of a urinary metabolite after the injection of the radioactive hormone (secretion rate equals radioactivity injected divided by the specific activity of a urinary metabolite ) has been critically examined. Although in previous applications of the method the expression has been assumed to be valid on an intuitive basis, it is concluded that this is not justified unless after continuous infusion the specific activity of the hormone is constant throughout the body. In the case of a single injection, where W has been termed the single injection factor, and must be equal to one for the method to be valid. If the transport and metabolism of the hormone can be described in terms of an outer and inner pool, it has been shown that the single injection factor is nearly equal to one unless the metabolite which is analyzed is formed mostly in one pool but the overall metabolism largely occurs in the other space. Other assumptions and sources of error in the method are discussed. It is concluded that a comparison of the specific activities of various metabolites is the most generally applicable experimental test of the validity of the method. On this basis, applications of the method to obtain the secretion rates of aldosterone and cortisol seem to be justified.

Episodic ovarian inhibin secretion is not due to LH pulses in anoestrous ewes

1989 ◽  
Vol 123 (2) ◽  
pp. 173-179 ◽  
Author(s):  
B. K. Campbell ◽  
A. S. McNeilly ◽  
D. T. Baird
Keyword(s):  
Breeding Season ◽  
Plasma Levels ◽  
Single Injection ◽  
Venous Blood ◽  
Follicular Development ◽  
Blood Samples ◽  
A Site ◽  
Ovarian Inhibin ◽  
Secretion Rates

ABSTRACT In sheep, secretion of oestradiol by the ovary is stimulated by pulses of LH but the factors controlling ovarian inhibin secretion are not well understood. We have investigated the effect of a single injection of LH on the ovarian secretion of inhibin. Six anoestrous Finn–Merino ewes which had one ovary autotransplanted to a site in the neck had jugular and timed ovarian venous blood samples collected at 10-min intervals for a total of 5 h. The secretion rates of both inhibin (1–3 ng/min) and oestradiol (0·5–8 ng/min) were similar to those observed during the breeding season indicating significant follicular development in these animals. After injection of 2·5 μg NIH-LH-S25 intravenously the concentration of LH in plasma rose from a baseline of 1·8 ±0·1 (s.e.m.) μg/l to a peak of 3·9 ±0·3 μg/l (P<0·01). This LH pulse stimulated a corresponding increase (P<0·01) in oestradiol secretion from a basal level of 0·9±0·2 ng/min to a peak of 4·6±0·6 ng/min that occurred within 30 min of injection. Although inhibin secretion was episodic in nature, increases were not related to either exogenous or endogenous LH pulses. We conclude that, in contrast to oestradiol, the secretion of inhibin by the ovary is not controlled acutely by changes in plasma levels of LH during anoestrus. Journal of Endocrinology (1989) 123, 173–179

THEORY OF THE TRANSIENT PHASE IN AN ENZYME SYSTEM INVOLVING TWO ENZYME-SUBSTRATE COMPLEXES: THE CASE OF THE FORMATION OF PRODUCTS FROM THE FIRST COMPLEX

1959 ◽  
Vol 37 (4) ◽  
pp. 737-743 ◽  
Author(s):  
Ludovic Ouellet ◽  
James A. Stewart
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Active Site ◽  
Substrate Concentration ◽  
Enzyme System ◽  
Kinetic Scheme ◽  
Enzyme Concentration ◽  
Theoretical Treatment ◽  
Transient Phase ◽  
Enzyme Substrate

A theoretical treatment is worked out for the kinetic scheme[Formula: see text]in which the concentration of P1 is followed. The steady-state and transient phase equations are obtained subject to the condition that the substrate concentration is greatly in excess of the enzyme concentration. The conditions under which evidence in favor of this mechanism can be obtained from experimental data are discussed. Under certain conditions, the weight of the enzyme corresponding to one active site can be determined. Methods for the evaluation of the different constants are described.

scholarly journals Symmetry analysis of rotating fluid

2005 ◽  
Vol 47 (1) ◽  
pp. 65-74 ◽  
Author(s):  
K. Fakhar ◽  
Zu-Chi Chen ◽  
Xiaoda Ji
Keyword(s):  
Steady State ◽  
Infinite Number ◽  
Special Function ◽  
Equations Of Motion ◽  
Time Dependent ◽  
Lie Theory ◽  
Rotating Fluid ◽  
Type Solution ◽  
Function Type ◽  
Basic Equations

AbstractThe machinery of Lie theory (groups and algebras) is applied to the unsteady equations of motion of rotating fluid. A special-function type solution for the steady state is derived. It is then shown how the solution generates an infinite number of time-dependent solutions via three arbitrary functions of time. This algebraic structure also provides the mechanism to search for other solutions since its character is inferred from the basic equations.

The basic equations for a supplemented GSMP and its applications to queues

1988 ◽  
Vol 25 (03) ◽  
pp. 565-578 ◽  
Author(s):  
Masakiyo Miyazawa ◽  
Genji Yamazaki
Keyword(s):  
Stochastic Process ◽  
Steady State ◽  
Queueing Networks ◽  
General Setting ◽  
Main Concern ◽  
Stationary Condition ◽  
State Equations ◽  
Semi Markov Process ◽  
Basic Equations ◽  
Stieltjes Transforms

A supplemented GSMP (generalized semi-Markov process) is a useful stochastic process for discussing fairly general queues including queueing networks. Although much work has been done on its insensitivity property, there are only a few papers on its general properties. This paper considers a supplemented GSMP in a general setting. Our main concern is with a system of Laplace–Stieltjes transforms of the steady state equations called the basic equations. The basic equations are derived directly under the stationary condition. It is shown that these basic equations with some other conditions characterize the stationary distribution. We mention how to get a solution to the basic equations when the solution is partially known or inferred. Their applications to queues are discussed.

Calibrating compartmental models of neurons

1978 ◽  
Vol 235 (1) ◽  
pp. R93-R98 ◽  
Author(s):  
D. H. Perkel ◽  
B. Mulloney
Keyword(s):  
Steady State ◽  
Electrical Properties ◽  
Differential Equations ◽  
Compartmental Model ◽  
Compartmental Models ◽  
Electrical Measurements ◽  
Original Matrix ◽  
Systematic Procedure ◽  
The Matrix ◽  
Voltage Attenuation

Numerical parameters for a compartmental model of a neuron can be chosen to conform both to the neuron's structure and to its measured steady-state electrical properties. A systematic procedure for assigning parameters is described that makes use of the matrix of coefficients of the set of differential equations that embodies the compartmental model. The inverse of this matrix furnishes input resistances and voltage attenuation factors for the model, and an interactive modification of the original matrix and its inverse may be used to fit the model to anatomic and electrical measurements.

Effects of Diffusion in the Oxidative Degradation of Vulcanized Rubbers. I. Rate of Chain Scission in the Steady State

1977 ◽  
Vol 50 (1) ◽  
pp. 43-48 ◽  
Author(s):  
K. Ono ◽  
A. Kaeriyama ◽  
K. Murakami
Keyword(s):  
Oxygen Consumption ◽  
Steady State ◽  
Diffusion Constant ◽  
Oxidative Degradation ◽  
Relaxation Method ◽  
Chain Scission ◽  
Simple Relation ◽  
Theoretical Treatment ◽  
Steady State Condition ◽  
True Activation Energy

Abstract The effects of diffusion in the oxidation of cis-1,4-polyisoprene vulcanizates were investigated by means of the stress relaxation method. It was assumed that the diffusion of oxygen is coupled with first-order oxygen consumption and that the rate of chain scission is proportional to the rate of oxygen consumption. The diffusion equation of this process was solved under the steady-state condition to give a simple relation between the rate of chain scission and the film thickness. The experimental results were in good agreement with the theoretical treatment. The true activation energy as well as the ratio of the rate of oxidation k to the diffusion constant D could be estimated.

The effect of weak Brownian rotations on particles in shear flow

1971 ◽  
Vol 46 (4) ◽  
pp. 685-703 ◽  
Author(s):  
L. G. Leal ◽  
E. J. Hinch
Keyword(s):  
Reynolds Number ◽  
Steady State ◽  
Probability Distribution ◽  
Shear Flow ◽  
Equilibrium Distribution ◽  
Steady State Probability ◽  
Bulk Properties ◽  
Closed Orbits ◽  
Basic Equations

Axisymmetric particles in zero Reynolds number shear flow execute closed orbits. In this paper we consider the role of small Brownian couples in establishing a steady-state probability distribution for a particle being on any particular orbit. After presenting the basic equations, we derive an expression for the equilibrium distribution. This result is then used to calculate some bulk properties for a suspension of such particles, and these predicted properties are compared with available experimental observation.

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