Threshold response curve In biochemistry, the general threshold response curve is the graph of an equation kS* R = S* + a"" where R is the chemical response when the level of the sub- stance being acted on is S and a, k, and n are positive con- stants. An example is the removal rate R of alcohol from the bloodstream by the liver when the blood alcohol con- centration is S. (a) Find an equation of the horizontal asymptote for the graph. (b) In the case of alcohol removal, n = 1 and a typical value of k is 0.22 gram per liter per minute. What is the interpretation of k in this setting?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Threshold response curve In biochemistry, the general
threshold response curve is the graph of an equation
kS*
R =
S* + a""
where R is the chemical response when the level of the sub-
stance being acted on is S and a, k, and n are positive con-
stants. An example is the removal rate R of alcohol from
the bloodstream by the liver when the blood alcohol con-
centration is S.
(a) Find an equation of the horizontal asymptote for the
graph.
(b) In the case of alcohol removal, n = 1 and a typical
value of k is 0.22 gram per liter per minute. What is the
interpretation of k in this setting?
Transcribed Image Text:Threshold response curve In biochemistry, the general threshold response curve is the graph of an equation kS* R = S* + a"" where R is the chemical response when the level of the sub- stance being acted on is S and a, k, and n are positive con- stants. An example is the removal rate R of alcohol from the bloodstream by the liver when the blood alcohol con- centration is S. (a) Find an equation of the horizontal asymptote for the graph. (b) In the case of alcohol removal, n = 1 and a typical value of k is 0.22 gram per liter per minute. What is the interpretation of k in this setting?
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