Kinetic Processes in Biologies

1 Kinetics of Cell Surface Receptor-Ligand Binding  

Let us continue by considering the simplest case, where the ligand concentration remains essentially constant at its initial value of [L]q, and the concentration of unbound 

The use of dimensionless groups will simplify the solution to Eq. (3.119). Let the concentration of the complex, [C], be scaled to the total receptor concentration, such that u = [C]/[f ]T and the dimensionless time, t, is given by t = kr/t. The ratio of the reverse to forward rate constants is simply the dissociation equilibrium constant (the inverse of our normal equilibrium constant), Kd = K/kf, so that Eq. (3.119) now becomes 

Source D. A. Lauffenburger and J. J. Linderman, Receptors, p. 30. Copyright 1993 by Oxford University Press, Inc. 

Avrami, M., Kinetics of phase change I General theory, J. Chem. Phys., 7, 1103 (1939). 

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