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a) You add 5 x 106 cells to 1 ml of solution. Each cell possesses 5 x 105 EGF receptors. You add the ligand EGF at 10-9 M. The KD for ligand binding the receptor is 5 x 10-10 M. Do not assume ligand is in excess. Assume no internalization. At steady state,1. what fraction of receptors are bound?2. what fraction of ligand is free?
b) To the same system as above, you add a single chain antibody (scFv) in solution at a concentration of 2 x 10-9 M that can bind the same ligand with a KDS = 5 x 10-10 M. See Figure below. A single chain antibody has one binding site. In the absence of internalization, and at steady state:1. what fraction of receptors are bound?2. what fraction of ligand is free?3. what fraction of the single chain antibody (ScFv) is bound?
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