What is one reason the membrane proteins could not go where the davson-danielli model thought they should go, sandwiching the lipid membrane on either side?

According to Davson-Danielli model, the phospholipid bilayer is sandwiched between two globular protein layers. According to this model, non-polar portions of proteins separate the polar portions of phospholipids from water, it causes the bilayer to get dissolve.

This is the reason why membrane protein could not exist in such manner.

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