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Use of Label-free Optical Biosensors to Detect Modulation of Potassium Channels by G-protein Coupled Receptors
Published on: February 10, 2014
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Receptor heterogeneity in optical biosensors.
Ryan M Evans1, David A Edwards2
1Applied and Computational Mathematics Division, Information and Technology Laboratory, National Institute of Standards and Technology, 100 Bureau Drive, Gaithersburg, MD, 20899, USA. ryan.evans@nist.gov.
Journal of Mathematical Biology
|July 15, 2017
Summary
This study simplifies complex biochemical reaction modeling in optical biosensors. A new ordinary differential equation (ODE) model accurately predicts rate constants, improving biosensor analysis.
Area of Science:
- Biochemistry
- Chemical Engineering
- Biophysics
Background:
- Optical biosensors measure biochemical reaction rate constants.
- Ligand molecules are convected over immobilized receptors in a flow cell.
- Transport effects complicate accurate rate constant measurement.
Purpose of the Study:
- To quantify transport effects on biochemical reactions in optical biosensors.
- To develop a simplified model for predicting rate constants.
- To adapt the model for inverse problems like finding rate constants.
Main Methods:
- Modeling convection-diffusion equations with reaction boundary conditions.
- Reducing complex partial differential equations (PDEs) to ordinary differential equations (ODEs).
- Comparing ODE model results with numerical simulations of integrodifferential equations (IDEs).
Main Results:
- A simplified ODE model was developed for biosensor analysis.
- The ODE model accurately predicts rate constants.
- The ODE model results favorably compared with IDE simulations, even outside its validity range.
Conclusions:
- The ODE model offers a practical and accurate method for analyzing biochemical reactions in optical biosensors.
- This approach simplifies the determination of rate constants.
- The model's effectiveness extends beyond its theoretical limitations.
