Transport Effects on Multiple-Component Reactions in Optical Biosensors

Bulletin of Mathematical Biology
Ryan M Evans, David A Edwards

Abstract

Optical biosensors are often used to measure kinetic rate constants associated with chemical reactions. Such instruments operate in the surface-volume configuration, in which ligand molecules are convected through a fluid-filled volume over a surface to which receptors are confined. Currently, scientists are using optical biosensors to measure the kinetic rate constants associated with DNA translesion synthesis-a process critical to DNA damage repair. Biosensor experiments to study this process involve multiple interacting components on the sensor surface. This multiple-component biosensor experiment is modeled with a set of nonlinear integrodifferential equations (IDEs). It is shown that in physically relevant asymptotic limits these equations reduce to a much simpler set of ordinary differential equations (ODEs). To verify the validity of our ODE approximation, a numerical method for the IDE system is developed and studied. Results from the ODE model agree with simulations of the IDE model, rendering our ODE model useful for parameter estimation.

References

Feb 2, 2000·Biophysical Journal·J García De La TorreB Carrasco
Feb 15, 2000·Journal of Mathematical Biology·David A EdwardsD S Cohen
Mar 30, 2001·Bulletin of Mathematical Biology·David A Edwards
Jun 16, 2004·Current Opinion in Genetics & Development·Brian S Plosky, Roger Woodgate
Dec 13, 2005·Nature Reviews. Molecular Cell Biology·Errol C Friedberg
Jun 24, 2006·Bulletin of Mathematical Biology·David A Edwards
Mar 17, 2007·DNA Repair·Alan R LehmannCatherine M Green
Sep 25, 2007·Analytical Biochemistry·Rebecca L RichDavid G Myszka
Apr 4, 2008·Proceedings of the National Academy of Sciences of the United States of America·Zhihao ZhuangStephen J Benkovic
Jan 5, 2011·Mathematical Biosciences·David A Edwards
Jul 20, 2014·Bulletin of Mathematical Biology·Matthew E Zumbrum, David A Edwards
Sep 11, 2014·Journal of Mathematical Biology·Matthew E Zumbrum, David A Edwards
Jun 26, 2017·Analytical Biochemistry·David A EdwardsWenbin Li

Citations

Jul 15, 2017·Journal of Mathematical Biology·Ryan M Evans, David A Edwards

Related Concepts

Base Excision Repair
Ligands
Biosensing Techniques
Optical Phenomena
Mathematical Concepts
DNA Repair
Fluid Therapy
Ligands
Surface
Instrument - Device

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