eytonxav
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So, you understanding of metabolic syndrome and insulin resistance developing into type 2 diabetes goes something like this:
As sugar builds up in the blood stream due to muscles losing their insulin sensitivity (something that can happen with age, inactive lifestyles, obesity), the body has to produce more and more insulin to get the muscles and fat cells to take up the blood sugar (glucose) for storage. It tends to create a vicious cycle as at first the body produces more and more insulin, and eventually the pancreas wears out, simply can't produce enough insulin, elevated blood sugar levels persist in the blood causing those bad long-term side effects suffered by diabetics. I think the high insulin levels can also cause long-term detrimental effects.
Exercise, such as walking, helps improve muscle sensitivity to insulin, and can reverse the progression into full blown diabetes. Which is why it is highly recommended for diabetics and ore-diabetics.
The walking after meals probably provides a double whammy - you are getting the benefit of improving muscle insulin sensitivity, but at the same time the activity is burning up some of the blood sugar directly thus lowering the blood sugar levels, thus not requiring as much insulin to be released.
This link has a nice explanation:
https://www.niddk.nih.gov/health-information/diabetes/types/prediabetes-insulin-resistance