(a) A diagram depicting the phosphorylation and sequestration of a substrate B. Bi (i = 0, 1, 2,…, n) represents free substrate B that has been phosphorylated on a total of i sites, S represents the sequestering entity (e.g., membrane surface, nucleus, or a binding protein), and BiS represents the sequestered phosphoforms of B. The values ki and di are rates for the phosphorylation and dephosphorylation reactions, respectively. Rate coefficients and characterize binding to and dissociation from S. (b) The corresponding reaction diagram. A represents the kinase; the phosphatase is not explicitly shown.