| Autor: |
Evans, Ryan M., Edwards, David A. |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Bulletin of Mathematical Biology, 79 (2017): 2214--2241 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s11538-017-0327-9 |
| Popis: |
Optical biosensors are often used to measure kinetic rate constants associated with chemical reactions. Such instruments operate in the \textit{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 biosenors 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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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