(391d) Investigation of Biased Brownian Motion of Polyelectrolyte Under an Applied Electrical Field

Key to this research is the determination of the effective diffusion (or biased diffusion under an electrical field) and effective mobility (also under an electrical field) whose competition determine the quality of the separation for a given type of protein. This competition can be efficiently assessed by the Optimal Time of Separation^[1-2] that incorporates the two effects in a convenient manner to study the impact of the two transport based parameters, i.e. when the effective mobility wins over the dispersion (or biased effects due to the electrical field) the device leads to an efficient separation. Otherwise, we will achieve an efficient mixing.

The focus of this research is on the use of probabilistic- stochastic- based process to obtain such coefficients. This, to the best of our knowledge, would be the first effort to determine the effective coefficients such as biased diffusion and effective mobility for proteins (Polyelectrolyte) under an applied electrical field, i.e. “Biased Brownian Motion of Polyelectrolyte under an Applied Electrical Field”. This research project is mostly focused on modeling and complemented by computational work. Results will be useful pieces of information at the device level and illustrated with parameters beneficial for practitioners. In summary, this project offers a very efficient path to obtain vital information to guide both experiments and new research relevant to both environmental proteomics and clinical diagnostics.

[1] Aris, R. “On the Dispersion of a Solute in a Fluid Flowing through a Tube .” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 235, 67,1956.

[2] Taylor, GI. “Dispersion of Soluble Matter in Solvent Flowing Slowly through a Tube.” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 1137,186 ,1953.