Transport Effects on Multiple-Component Reactions in Optical Biosensors

Area of Science:

• Biophysics
• Biochemistry
• Molecular Biology

Background:

• Optical biosensors are crucial for measuring kinetic rate constants in chemical reactions.
• These biosensors operate in a surface-volume configuration, essential for studying processes like DNA translesion synthesis.
• DNA translesion synthesis is a critical pathway for DNA damage repair.

Purpose of the Study:

• To simplify complex mathematical models of biosensor experiments studying DNA translesion synthesis.
• To develop a reduced ordinary differential equation (ODE) model from nonlinear integrodifferential equations (IDEs).
• To validate the accuracy of the ODE model against numerical simulations of the IDE model.

Main Methods:

• Modeling multi-component biosensor experiments using nonlinear integrodifferential equations (IDEs).
• Deriving simplified ordinary differential equations (ODEs) in physically relevant asymptotic limits.
• Developing and applying a numerical method to solve the IDE system for validation.

Main Results:

• The complex IDE model for biosensor experiments was successfully reduced to a simpler ODE model.
• Numerical simulations confirmed that the ODE model accurately approximates the behavior of the IDE model.
• The validated ODE model is suitable for parameter estimation in biosensor experiments.

Conclusions:

• The simplified ODE model provides an efficient and accurate method for analyzing optical biosensor data.
• This approach facilitates the study of kinetic rate constants in complex biological processes like DNA repair.
• The validated ODE model is a valuable tool for advancing research in molecular biosensing and DNA damage response.