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An embedding method for simulation o...
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Wong, Chao-Jen.
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An embedding method for simulation of immobilized enzyme kinetics and transport in sessile hydrogel drops.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
An embedding method for simulation of immobilized enzyme kinetics and transport in sessile hydrogel drops./
作者:
Wong, Chao-Jen.
面頁冊數:
89 p.
附註:
Source: Dissertation Abstracts International, Volume: 66-12, Section: B, page: 6712.
Contained By:
Dissertation Abstracts International66-12B.
標題:
Applied Mechanics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3197909
ISBN:
9780542439445
An embedding method for simulation of immobilized enzyme kinetics and transport in sessile hydrogel drops.
Wong, Chao-Jen.
An embedding method for simulation of immobilized enzyme kinetics and transport in sessile hydrogel drops.
- 89 p.
Source: Dissertation Abstracts International, Volume: 66-12, Section: B, page: 6712.
Thesis (Ph.D.)--The Claremont Graduate University, 2006.
We present a new numerical method, termed the embedding method, to solve a system of nonlinear diffusion-reaction partial differential equations that describes the enzyme kinetics and transport occurring within a sessile axisymmetric hydrogel drop. Michaelis-Menten kinetics is used to model the reaction mechanism leading enzyme-mediated substrate to product conversion.
ISBN: 9780542439445Subjects--Topical Terms:
1018410
Applied Mechanics.
An embedding method for simulation of immobilized enzyme kinetics and transport in sessile hydrogel drops.
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Source: Dissertation Abstracts International, Volume: 66-12, Section: B, page: 6712.
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Thesis (Ph.D.)--The Claremont Graduate University, 2006.
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We present a new numerical method, termed the embedding method, to solve a system of nonlinear diffusion-reaction partial differential equations that describes the enzyme kinetics and transport occurring within a sessile axisymmetric hydrogel drop. Michaelis-Menten kinetics is used to model the reaction mechanism leading enzyme-mediated substrate to product conversion.
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The embedding method combines ideas from finite differences, especially the alternating direction implicit (ADI) on a Cartesian grid, and the volume-fraction-based front-capturing method, which accounts for interface calculations of multi-phase problem and modification to apply correct boundary conditions. The method has been implemented in two-dimensions as well as in axisymmetric three-dimensions. The major advantage of this method is that it can handle problems on zonal boundary or multi-media interfaces using a regular structured-block mesh without exactly conforming to the geometry. The major aspect of this method is its simplicity of implementation and efficiency of programming.
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Validations of the method are given by comparing steady-state solutions against these obtained with the shooting method and by comparing simulations against those of a finite volume method on an unstructured, body-fitted grid. Software with a graphical interface is developed, and it enables visualization and animation of the numerical results.
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