How do we explain the electrostatic interactions that affect the acid dissociation constant, using PB (Poisson-Boltzmann) relationship for biological macromolecule @blues (or any other relation if you deem it better)

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The general Poisson-Boltzmann relationship for electrostatic interactions: \[\nabla D(r) \nabla V_{e}(r)-D(r)K ^{2}\sinh[V _{e}(r)]+\frac{ 4 \pi Ze \rho(r) }{ k_{B}T }=0\] \[K=\frac{ 8 \pi (Ze)^{2}I }{ D(r) k_{B}T }\] \[I=\sum_{i=1}^{N}\frac{ Z_{i}^{2} c _{i}}{ 2 }\] So much I do know.

Is this something you really need help in biology or just something you found? Because this looks like graduate level biophysics.

@abb0t The assignment say, argue for a change in the acid dissociation constant by electrostatic interactions. I only know the equation because I have been reading Physical Biochemistry by Van Holde. He explain that the electrostatic interactions are affecting the pKa, but I don't see how he manage to say he graph the pKa change as a function of the logarithm to the ionic strength of the solution (log(I)). But I suppose you could look at the "self energy" as Van Holde call it and then estimate the change in pKa by the change in self energy?

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