Modelling a dynamic magneto-agglutination bioassay.

Area of Science:

• Biomagnetic separation
• Microfluidic assay development
• Mathematical modeling of immunoassays

Background:

• Magneto-immunoassays offer sensitive detection but require robust modeling.
• Simulating bacterial agglutination is crucial for understanding assay dynamics.
• Paramagnetic particles are key for magnetic manipulation in bioassays.

Purpose of the Study:

• To develop an end-to-end mathematical model for a magneto-immunoassay.
• To simulate bacterial agglutination and its effect on particle dynamics.
• To validate the model against experimental data and predict dose-response.

Main Methods:

• Direct imaging to characterize dose-specific agglutination.
• Microfluidic assay with transient inductive magnetometer measurements.
• Modified Becker-Döring nucleation and Stokes flow equations for modeling.
• Inductive modeling to predict magnetometer response.

Main Results:

• Established a relationship between analyte dose and average cluster size.
• Modeled magnetophoretic transport dynamics of agglutinated clusters.
• Predicted concentration profiles of paramagnetic microparticles (PMPs) over time.
• Model predictions showed strong agreement with experimental results.

Conclusions:

• The developed end-to-end model accurately simulates magneto-immunoassay processes.
• The model successfully predicts dose-response curves and experimental outcomes.
• This work provides a framework for optimizing and designing advanced immunoassays.