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Facilitated Diffusion of Glucose - Explanation

I need a basic explanation of the difference in the rates at which glucose is transported across a cell membrane versus the concentration gradient of glucose. I am trying to understand the difference in diffusion through a lipid bilayer compared to facilitated diffusion. I could also really use help with finding online references on similar topics.

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I have found several good web resources which I have changed into PDF files and attached here. Basically, in facilitated diffusion, proteins in the cell membrane (lipid bilayer) help molecules (such as glucose) get across. They cannot move ...