DLVO for complex solutions

Physics Asked by Marina on July 25, 2020

I am working with a complex solution of 2 proteins and salt. I have been trying to use DLVO (Derjaguin, Landau, Vervey, and Overbeek) theory to get an approximation of the Van Der Waals attractive force ($$F_{wppr}$$) and the electric double layer repulsive force ($$F_{el}$$) between the molecules in the solution. However, textbooks only provide equations of Van der Waals and EDL forces for two types of molecules/spheres/cylinders. How can I calculate the forces for a more complex solution (2 proteins and 2 ions for example)?

$$F_{wppr} = -frac{A}{6 D^2}left(frac{r_1 r_2}{r_1 + r_2}right)$$

$$F_{el} = kappa Z left(frac{r_1 r_2}{r_1 + r_2} right) e ^ {-kappa D}$$

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