Chapter 11: Problem 38
If a person has a \(50 \%\) increase in insulin sensitivity, what happens to insulin release for the person to remain in the normal curve?
Short Answer
Expert verified
For the person to remain in the normal curve with a 50% increase in insulin sensitivity, their insulin release should decrease to 66.67% of the original value.
Step by step solution
01
Understand the relationship between insulin sensitivity and insulin release
Insulin sensitivity is the measure of how effectively the body uses insulin to lower blood sugar levels. Insulin release is the process by which the pancreas secretes insulin into the bloodstream to regulate blood sugar levels.
In general, if a person's insulin sensitivity increases, the body requires less insulin to maintain normal blood sugar levels, since it can more effectively use the insulin already present. Therefore, to maintain the normal curve, insulin release should be adjusted accordingly.
02
Calculate the change in insulin sensitivity
We are given that the person has a 50% increase in insulin sensitivity. To calculate the new insulin sensitivity, we multiply the original sensitivity by 1.5 (since 50% is half of the original value, we add 50% to 100% which results in 150% or 1.5 as a factor).
Let's denote original insulin sensitivity by \(I_s\) and the new insulin sensitivity by \(I'_s\). Then we have:
\[I'_s = 1.5 * I_s\]
03
Determine the effect on insulin release
As insulin sensitivity increases, the need for insulin release decreases. So, we need to find the ratio between the new insulin sensitivity and the original one to determine the change in insulin release.
From the previous step, we have:
\[I'_s = 1.5 * I_s\]
Now, let's denote the original insulin release as \(I_r\) and the new insulin release as \(I'_r\). We can determine the ratio between the insulin release and insulin sensitivity.
\[\frac{I'_r}{I'_s} = \frac{I_r}{I_s}\]
04
Calculate the new insulin release
Now, we can use the ratio from Step 3 to calculate the new insulin release, \(I'_r\):
\[\frac{I'_r}{1.5 * I_s} = \frac{I_r}{I_s}\]
To find the new insulin release, multiply both sides of the equation by \(1.5 * I_s\):
\[I'_r = I_r * \frac{I_s}{1.5 * I_s}\]
As we can see, the original insulin sensitivity, \(I_s\), cancels out:
\[I'_r = I_r * \frac{1}{1.5}\]
The new insulin release, \(I'_r\), is then equal to \(\frac{2}{3}I_r\), which means it is about 66.67% of the original insulin release to maintain the normal curve with the increased insulin sensitivity.
In conclusion, for the person to remain in the normal curve with a 50% increase in insulin sensitivity, their insulin release should decrease to 66.67% of the original value.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Insulin Release
Insulin release is a vital process in the body that helps to manage blood sugar levels by delivering insulin from the pancreas into the bloodstream.
When you eat, carbohydrates are broken down into glucose, which raises blood sugar levels. This is where insulin comes in.
- Insulin facilitates the uptake of glucose by cells, therefore lowering blood sugar levels.
- It signals cells to absorb glucose and either use it for energy or store it as glycogen in muscles and the liver.
Blood Sugar Regulation
Blood sugar regulation is the body's mechanism to ensure that glucose in the blood remains at a stable and healthy level. The key players in this regulation are insulin and glucagon, two hormones secreted by the pancreas.
Sustaining balance involves several steps:
- When blood sugar rises, the pancreas releases insulin. The hormone encourages cells to absorb glucose, reducing blood sugar levels.
- Conversely, when blood sugar is low, glucagon prompts the release of glucose stored in the liver back into the bloodstream.
Pancreatic Function
The pancreas is a small yet crucial gland located behind the stomach. Apart from its digestive roles, it plays a central part in both insulin release and blood sugar regulation.
Here’s how it functions:
- It contains clusters of cells called islets of Langerhans, which house beta cells responsible for insulin production and release.
- Alpha cells within the islets produce glucagon, working in opposition to insulin.