"One way to separate a mixture of stem cells and differentiatedcells is to label the cell population with a specific antibody.Let's say stem cells express exactly 100 copies of the membraneantigen X, while all differentiated cells express exactly 10 copiesof X.

To the cell mixture, you add a very large solution of 0.1Î¼Mantibody (for X). The K_d (dissociation constant) for theantibody-antigen binding reaction is 1Î¼M (treat antibody as if ithas only one binding site).

1) On average, how many antibody molecules will be bound perstem cell? What about per differentiated cell?

2) Find the standard deviation of the of the number ofantibodies bound per stem cell (assume binomial distribution)

Question

"One way to separate a mixture of stem cells and differentiatedcells is to label the cell population with a specific antibody.Let's say stem cells express exactly 100 copies of the membraneantigen X, while all differentiated cells express exactly 10 copiesof X.

To the cell mixture, you add a very large solution of 0.1Î¼Mantibody (for X). The K_d (dissociation constant) for theantibody-antigen binding reaction is 1Î¼M (treat antibody as if ithas only one binding site).

1) On average, how many antibody molecules will be bound perstem cell? What about per differentiated cell?

2) Find the standard deviation of the of the number ofantibodies bound per stem cell (assume binomial distribution)

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