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A dose-response curve is given by R = f(x), where R is percent of maximum response and x
Chapter 4, Problem 13(choose chapter or problem)
A dose-response curve is given by R = f(x), where R is percent of maximum response and x is the dose of the drug in mg. The curve has the shape shown in Figure 4.77. The inflection point is at (15, 50) and \(f^{\prime}(15)=11\).
(a) Explain what \(f^{\prime}(15)\) tells you in terms of dose and response for this drug.
(b) Is \(f^{\prime}(10)\) greater than or less than 11? Is \(f^{\prime}(20)\) greater than or less than 11? Explain.
Questions & Answers
QUESTION:
A dose-response curve is given by R = f(x), where R is percent of maximum response and x is the dose of the drug in mg. The curve has the shape shown in Figure 4.77. The inflection point is at (15, 50) and \(f^{\prime}(15)=11\).
(a) Explain what \(f^{\prime}(15)\) tells you in terms of dose and response for this drug.
(b) Is \(f^{\prime}(10)\) greater than or less than 11? Is \(f^{\prime}(20)\) greater than or less than 11? Explain.
ANSWER:Step 1 of 3
The dose response curve is modelled in a logistic growth model. It plots the intensity of physiological response as a function of dose administered. From the figure, it can be stated that the inflection point is where the concavity of the asymptote changes. Dose response is concave up for low doses and concave down for high doses