18. Hormone Release Insulin is a hormone produced by the pancreas to help regulate the level of glucose in your body. Insulin controls blood giucose by signaling fat and muscle cells to absorb glucose from the bloodstream. This process helps to reduce high blood glucose levels. If your body can- not naturally produce insulin (or becomes resistant to it) you may develop symptoms of diabetes. For diabetics, glucose levels have to be regulated through diet, exercise, and, if necessary, through insulin injections. There are several different types of insulin and the rate at which they cause the body to infuse glucose differ. The following graph represents the infusion rate of glucose for two different types of insulin: Insulin A, which acts faster and Insulin B, which lasts longer. 600 500 400 Insulin B 300 200 100 2 Time After Injection of Insulin (hours) Let IA(t) and IB(t) represent the amount of glucose infusion caused by Insulin A and Insulin B, respectively, up to time t. At the time when the two insulin curves in the figure intersect, which is bigger, IA or Ig? Explain your answer. b) At what time is the difference between La(t) and Ia(t) greatest? c) On the time interval (0, 4] use a Riemann sum with At = 1 and the height measured (by hand) at the midpoint of each subinterval to esti- mate Ia(4) and In(4). Ed) At approximately what time is IA = Ig? %3D Glucose Infusion Rate (mg/min) Insulin A
18. Hormone Release Insulin is a hormone produced by the pancreas to help regulate the level of glucose in your body. Insulin controls blood giucose by signaling fat and muscle cells to absorb glucose from the bloodstream. This process helps to reduce high blood glucose levels. If your body can- not naturally produce insulin (or becomes resistant to it) you may develop symptoms of diabetes. For diabetics, glucose levels have to be regulated through diet, exercise, and, if necessary, through insulin injections. There are several different types of insulin and the rate at which they cause the body to infuse glucose differ. The following graph represents the infusion rate of glucose for two different types of insulin: Insulin A, which acts faster and Insulin B, which lasts longer. 600 500 400 Insulin B 300 200 100 2 Time After Injection of Insulin (hours) Let IA(t) and IB(t) represent the amount of glucose infusion caused by Insulin A and Insulin B, respectively, up to time t. At the time when the two insulin curves in the figure intersect, which is bigger, IA or Ig? Explain your answer. b) At what time is the difference between La(t) and Ia(t) greatest? c) On the time interval (0, 4] use a Riemann sum with At = 1 and the height measured (by hand) at the midpoint of each subinterval to esti- mate Ia(4) and In(4). Ed) At approximately what time is IA = Ig? %3D Glucose Infusion Rate (mg/min) Insulin A
Biology 2e
2nd Edition
ISBN:9781947172517
Author:Matthew Douglas, Jung Choi, Mary Ann Clark
Publisher:Matthew Douglas, Jung Choi, Mary Ann Clark
Chapter37: The Endocrine System
Section: Chapter Questions
Problem 2VCQ: Figure 37.11 Pancreatic tumors may cause excess secretion of glucagon. Type I diabetes results from...
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![18. Hormone Release Insulin is a hormone produced by the pancreas to help
regulate the level of glucose in your body. Insulin controls blood glucose
by signaling fat and muscle cells to absorb glucose from the bloodstream.
This process helps to reduce high blood glucose levels. If your body can-
not naturally produce insulin (or becomes resistant to it) you may develop
symptoms of diabetes. For diabetics, glucose levels have to be regulated
through diet, exercise, and, if necessary, through insulin injections. There
are several different types of insulin and the rate at which they cause the
body to infuse glucose differ. The following graph represents the infusion
rate of glucose for two different types of insulin: Insulin A, which acts faster
and Insulin B, which lasts longer.
600
500-
400
Insulin B
300
200
100
2
Time After Injection of Insulin (hours)
Let IA(t) and IB(t) represent the amount of glucose infusion caused by
Insulin A and Insulin B, respectively, up to time t. At the time when
the two insulin curves in the figure intersect, which is bigger, IA or Ig?
Explain your answer.
b) At what time is the difference between La(t) and Ia(t) greatest?
c) On the time interval (0, 4] use a Riemann sum with At = 1 and the
height measured (by hand) at the midpoint of each subinterval to esti-
mate Ia(4) and Ip(4).
%3D
d) At approximately what time is IA = Ig?
Glucose Infusion Rate (mg/min)
Insulin A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd156a27-dfc0-427e-9c78-a8deae8a9ee9%2Fc53ff416-c3c9-438e-9cb5-3b3a17d0748a%2Fknnwu6y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:18. Hormone Release Insulin is a hormone produced by the pancreas to help
regulate the level of glucose in your body. Insulin controls blood glucose
by signaling fat and muscle cells to absorb glucose from the bloodstream.
This process helps to reduce high blood glucose levels. If your body can-
not naturally produce insulin (or becomes resistant to it) you may develop
symptoms of diabetes. For diabetics, glucose levels have to be regulated
through diet, exercise, and, if necessary, through insulin injections. There
are several different types of insulin and the rate at which they cause the
body to infuse glucose differ. The following graph represents the infusion
rate of glucose for two different types of insulin: Insulin A, which acts faster
and Insulin B, which lasts longer.
600
500-
400
Insulin B
300
200
100
2
Time After Injection of Insulin (hours)
Let IA(t) and IB(t) represent the amount of glucose infusion caused by
Insulin A and Insulin B, respectively, up to time t. At the time when
the two insulin curves in the figure intersect, which is bigger, IA or Ig?
Explain your answer.
b) At what time is the difference between La(t) and Ia(t) greatest?
c) On the time interval (0, 4] use a Riemann sum with At = 1 and the
height measured (by hand) at the midpoint of each subinterval to esti-
mate Ia(4) and Ip(4).
%3D
d) At approximately what time is IA = Ig?
Glucose Infusion Rate (mg/min)
Insulin A
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