How is the first law of thermodynamics related to a diabetes patient?
Added by Robert B.
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For an organism this becomes a bookkeeping rule — the change in the body's stored energy equals energy taken in minus energy given out. Show more…
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What is the first law of thermodynamics, and how does it relate to energy use?
Let's model someone's blood glucose level and their blood insulin level. Models like this are important for designing an "artificial pancreas" for people with Type 1 diabetes. I read a paper that suggested that a simple model for the rate of change of blood glucose has the following components: A constant input rate (due to the liver releasing glycogen, but the exact reason isn't important) a decay term proportional to current blood glucose level, a decay term that is proportional to both current glucose level & current insulin level, and an input term due to food absorbed after meals, which is proportional to a surge curve with appropriate adjustable parameters. And, a simple model for the rate of change of insulin level has the following components: A decay term proportional to the current insulin level, and a term proportional to the amount that the blood glucose is above the target of 100. If the blood glucose is below the target of 100, this term is just simply 0. Write formulas based on these ideas here. For any constants you need for the rate-of-change for blood glucose, use symbols like b0, b1, b2, etc, and for any constants you need for the rate-of-change for insulin, use symbols like c0, c1, c2, etc. dG/dt = dI/dt = For this part, you don't have to implement any calculations. Which term from above would you say is the "control" term--the part that helps the body control glucose by making insulin?
Frank D.
The first law of thermodynamics seems to conflict with what we know about ourselves. For example, after strenuous exercise, we run out of "energy." We must eat to replenish our energy stores. Where has that energy gone? What form has it taken?
Adi S.
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