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Matthew E Zumbrum¹, David A Edwards

¹Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA, zumbrum@temple.edu.

Journal of Mathematical Biology

|September 11, 2014

Summary

This summary is machine-generated.

New optical biosensor models account for complex two-dimensional flow, improving reaction kinetics analysis. This research extends mathematical models to precisely study reactant depletion in devices like the Flexchip.

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Area of Science:

Biomedical Engineering
Chemical Engineering
Physical Chemistry

Background:

Optical biosensors analyze surface-volume reaction kinetics.
Existing models assume unidirectional flow, which is insufficient for complex geometries.
New devices like the Flexchip exhibit two-dimensional flow, impacting reactant depletion.

Purpose of the Study:

To extend mathematical models for optical biosensors to incorporate two-dimensional flow dynamics.
To investigate the impact of complex flow patterns on reactant depletion in biosensor devices.
To quantify the effect of two-dimensional flow on reaction kinetics analysis.

Main Methods:

Developed an extended mathematical model to include two-dimensional flow.
Utilized Schwarz-Christoffel mapping to relate complex geometries to simpler unidirectional flow models.
Analyzed ligand depletion effects for specific Flexchip dimensions.
Estimated rate constants from simulated data.

Main Results:

Successfully extended the mathematical model to simulate two-dimensional flow in optical biosensors.
Quantified the ligand depletion effect in a Flexchip with a specific geometry.
Demonstrated the importance of accounting for two-dimensional flow for accurate kinetic analysis.
Provided estimated rate constants reflecting the inclusion of complex flow.

Conclusions:

The extended mathematical model accurately captures two-dimensional flow effects in optical biosensors.
Accounting for complex flow is crucial for precise reaction kinetics and reactant depletion analysis.
This work provides a framework for analyzing novel biosensor designs like the Flexchip.