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Example of Direct Variation: Identifying Direct Variation Equations
Example of Direct Variation: Identifying Direct Variation Equations

a review on dosage regimen - Indian Journal of Pharmaceutical
a review on dosage regimen - Indian Journal of Pharmaceutical

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Baroreflex Function in Elderly Hypertensives

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An evaluation of the brain distribution of [11C]GSK1034702, a

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... Non vertical lines are parallel if they have the same slope and different y-intercepts. The graphs of y = 2x  6 and y = 2x + 3 are parallel because they have the same slope, 2, but different y-intercepts, 6 and 3. ...
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QUANTITATIVE ANALYSIS OF DOSE
QUANTITATIVE ANALYSIS OF DOSE

... single substrate reaction (Michaelis-Menten equation) but also for multiple substrate reactions; the fractional effect is expressed with respect to the control velocity rather than to the maximal velocity (6). Furthermore, fa in equation 1 is simple to obtain, whereas the determination of Vm,x in th ...
Variable Separation and Exact Solutions for the Kadomtsev
Variable Separation and Exact Solutions for the Kadomtsev

RAJIV GANDHI UNIVERSITY OF HEALTH SCIENCES
RAJIV GANDHI UNIVERSITY OF HEALTH SCIENCES

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Plateau principle

The plateau principle is a mathematical model or scientific law originally developed to explain the time course of drug action The principle has wide applicability in pharmacology, physiology, nutrition, biochemistry and system dynamics. It applies whenever a drug or nutrient is infused or ingested at a relatively constant rate and when a constant fraction is eliminated during each time interval. Under these conditions, any change in the rate of infusion leads to an exponential increase or decrease until a new level is achieved. This behavior is also called an approach to steady state because rather than causing an indefinite increase or decrease, a natural balance is achieved when the rate of infusion or production is balanced by the rate of loss.An especially important use of the plateau principle is to study the renewal of tissue constituents in the human and animal body. In adults, daily synthesis of tissue constituents is nearly constant, and most constituents are removed with a first order reaction rate. Applicability of the plateau principle was recognized during radiotracer studies of protein turnover in the 1940s by Rudolph Schoenheimer and David Rittenberg. Unlike the case with drugs, the initial amount of tissue or tissue protein is not zero because daily synthesis offsets daily elimination. In this case, the model is also said to approach a steady state with exponential or logarithmic kinetics. Constituents that change in this manner are said to have a biological half-life.A practical application of the plateau principle is that most people have experienced ""plateauing"" during regimens for weight management or training for sports. After a few weeks of progress, one seems unable to continue gaining in ability or losing weight. This outcome results from the same underlying quantitative model. This entry will describe the popular concepts as well as development of the plateau principle as a scientific, mathematical model.In the sciences, the broadest application of the plateau principle is creating realistic time signatures for change in kinetic models (see Mathematical model). One example of this principle is the long time required to effectively change human body composition. Theoretical studies have shown that many months of consistent physical training and food restriction are needed to bring about permanent weight stability in people who were previously overweight.
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