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Mathematical Methods For Biosensor Models, Qi Wang Aug 2011

Mathematical Methods For Biosensor Models, Qi Wang

Doctoral

A biosensor is defined as a compact analytical device incorporating a biological sensing element integrated within a physico-chemical transducer whose aim is to produce optical or electronic signals proportional to the concentration of an analyte in a sample. Biosensors offer enormous potential to detect a wide range of analytes in health care, the food industry, environmental monitoring, security and defence. The beneficial impact on society as a result of the availability of such systems is immense, therefore investigating any strategy that could reduce development times and costs and reveal alternative designs is of utmost importance. In particular, mathematical modelling and …


Morphologies From Slippery Ballistic Deposition Model: A Bottom-Up Approach For Nanofabrication, Anthony Robledo, Christopher N. Grabill, Stephen M. Kuebler, Aniruddha Dutta, Helge Heinrich, Aniket Bhattacharya Jan 2011

Morphologies From Slippery Ballistic Deposition Model: A Bottom-Up Approach For Nanofabrication, Anthony Robledo, Christopher N. Grabill, Stephen M. Kuebler, Aniruddha Dutta, Helge Heinrich, Aniket Bhattacharya

Faculty Bibliography 2010s

We report pattern formation using a slippery ballistic deposition (SBD) model where growth germinates from a single site or from sites distributed periodically on a lattice. By changing the sticking probability p(s) and choosing systems with different lattice constants and symmetries, we demonstrate that a variety of patterns can be generated. These patterns can be further used as scaffolds for nanofabrication. We also demonstrate that by choosing a lateral sticking probability p(l) at the base that is different than p(s), one can control both the early and late time morphologies originating from a seed. Furthermore, we indicate a possible generalization …


Dispersion Relation On The Kerr Constant Of A Polymer-Stabilized Optically Isotropic Liquid Crystal, Meizi Jiao, Jin Yan, Shin-Tson Wu Jan 2011

Dispersion Relation On The Kerr Constant Of A Polymer-Stabilized Optically Isotropic Liquid Crystal, Meizi Jiao, Jin Yan, Shin-Tson Wu

Faculty Bibliography 2010s

The dispersion relation on the Kerr constant (K) of a polymer-stabilized isotropic phase (PSIP) liquid-crystal (LC) composite is investigated. Our experimental results show that K decreases as the wavelength (lambda) increases. The single-band birefringence dispersion model is used to fit the lambda K values of the PSIP LC composite. Very good agreement between the experiment and physical model is obtained.


Polymer Translocation Induced By A Bad Solvent, Christopher Lörscher, Tapio Ala-Nissila, Aniket Bhattacharya Jan 2011

Polymer Translocation Induced By A Bad Solvent, Christopher Lörscher, Tapio Ala-Nissila, Aniket Bhattacharya

Faculty Bibliography 2010s

We study polymer translocation through a nanopore subject to conformational differences created by putting two different solvents at the cis and trans compartments using Langevin dynamics in three dimensions (3D). Initially a fraction of the chain is placed in a good solvent at the cis side and the rest of the chain at the trans side is immersed in a bad solvent where it forms a globule. We study several aspects of the translocating chain as a function of the strength of the interaction epsilon/k(B)T for the bad solvent, where the temperature T is kept below the Theta temperature for …


A Mathematical Model For The Biological Treatment Of Industrial Wastewaters In A Cascade Of Four Reactors, Annette L. Worthy, Mark I. Nelson, Rubayyi Turki Alqahtani Jan 2011

A Mathematical Model For The Biological Treatment Of Industrial Wastewaters In A Cascade Of Four Reactors, Annette L. Worthy, Mark I. Nelson, Rubayyi Turki Alqahtani

Faculty of Informatics - Papers (Archive)

Many industrial processes, particularly in the food industry, produce slurriesor wastewaters containing high concentrations of biodegradable organicmaterials. Before these contaminated wastewaters can be dischargedthe concentration of these pollutants must be reduced. A method which has beenextensively employed to remove biodegradable organic matter is biologicaltreatment. In this process the wastewater (or slurry) is passed through abioreactor containing biomass which grows through consumption of thepollutants.The industrial treatment of wastewaters typically employs a reactor cascade.In a reactor cascade of n reactors the effluent stream from the ith reactor inthe cascade acts as the feed stream for the (i+1)th reactor, i.e. the nextreactor. The …


A Mathematical Model For The Biological Treatment Of Industrial Wastewater In A Reactor Cascade, Rubayyi Turki Alqahtani, Mark I. Nelson, Annette L. Worthy Jan 2011

A Mathematical Model For The Biological Treatment Of Industrial Wastewater In A Reactor Cascade, Rubayyi Turki Alqahtani, Mark I. Nelson, Annette L. Worthy

Faculty of Informatics - Papers (Archive)

Many industrial processes, particularly in the food industry, produce slurries or wastewaters containing high concentrations of biodegradable organic materials. Before these contaminated wastewaters can be discharged the concentration of the biodegradable organic pollutant must be reduced. One way to do this is to pass the wastewater through a bioreactor containing biomass which grows through consumption of the pollutant. Anaerobic conditions are often favoured for the processing of waste materials with high levels of biodegradable organic pollutants as these can be removed with low investment and operational costs. We investigate the steady state effluent concentration leaving a cascade of two reactors. …