Stream broadening in free flow affinity electrophoresis

Area of Science:

• Analytical Chemistry
• Biophysics
• Chemical Kinetics

Background:

• Complexation reactions are fundamental in chemical and biological systems.
• Accurate measurement of complexation parameters is essential for understanding these processes.
• Free-Flow Affinity Electrophoresis (FFAE) is a high-throughput method for studying complexation.

Purpose of the Study:

• To address knowledge gaps in analyte transport within FFAE systems.
• To develop a mathematical formulation for quantifying stream broadening in FFAE.
• To enhance the accuracy and range of analytical information obtainable from FFAE.

Main Methods:

• Developed a mathematical formulation for stream broadening in FFAE.
• Derived a closed-form expression for stream width in the Taylor-Aris dispersion limit.
• Assumed fast analyte-ligand binding kinetics for the model.

Main Results:

• Identified four additive terms describing affinity interaction effects on stream dispersion in FFAE.
• Demonstrated that these terms scale with the square of the lateral migration distance.
• Showed inverse scaling of these terms with the Damköhler number.

Conclusions:

• The mathematical formulation provides a quantitative understanding of stream broadening in FFAE.
• This work improves the analytical capabilities of FFAE for complexation studies.
• The findings contribute to more accurate measurements of equilibrium and kinetic parameters in complex systems.