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Physical Sciences and Mathematics Commons

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Optimization

Georgia State University

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Full-Text Articles in Physical Sciences and Mathematics

Treatments Of Chlamydia Trachomatis And Neisseria Gonorrhoeae, Ken Kun Zhao Apr 2008

Treatments Of Chlamydia Trachomatis And Neisseria Gonorrhoeae, Ken Kun Zhao

Mathematics Theses

Chlamydia Trachomatis and Neisseria Gonorrhoeae rank as the two most commonly reported sexually transmitted diseases (STDs) in the United States. Under limited budget, publicly funded clinics are not able to screen and treat the two diseases for all patients. They have to make a decision as to which group of population shall go through the procedure for screening and treating the two diseases. Therefore, we propose a cubic integer programming model on maximizing the number of units of cured diseases. At the same time, a two-step algorithm is established to solve the cubic integer program. We further develop a web-server, …


Discrete Algorithms For Analysis Of Genotype Data, Dumitru Brinza Jun 2007

Discrete Algorithms For Analysis Of Genotype Data, Dumitru Brinza

Computer Science Dissertations

Accessibility of high-throughput genotyping technology makes possible genome-wide association studies for common complex diseases. When dealing with common diseases, it is necessary to search and analyze multiple independent causes resulted from interactions of multiple genes scattered over the entire genome. The optimization formulations for searching disease-associated risk/resistant factors and predicting disease susceptibility for given case-control study have been introduced. Several discrete methods for disease association search exploiting greedy strategy and topological properties of case-control studies have been developed. New disease susceptibility prediction methods based on the developed search methods have been validated on datasets from case-control studies for several common …


Cad Tools For Dna Micro-Array Design, Manufacture And Application, Nisar Hundewale Dec 2006

Cad Tools For Dna Micro-Array Design, Manufacture And Application, Nisar Hundewale

Computer Science Dissertations

Motivation: As the human genome project progresses and some microbial and eukaryotic genomes are recognized, numerous biotechnological processes have attracted increasing number of biologists, bioengineers and computer scientists recently. Biotechnological processes profoundly involve production and analysis of highthroughput experimental data. Numerous sequence libraries of DNA and protein structures of a large number of micro-organisms and a variety of other databases related to biology and chemistry are available. For example, microarray technology, a novel biotechnology, promises to monitor the whole genome at once, so that researchers can study the whole genome on the global level and have a better picture of …