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OPTIMAL TREATMENT STRATEGIES FOR CANCER PATIENTS IN TERMS OF SURVIVAL MONTHS AND SOCIO-ECONOMIC FACTORS
(2020-05-29)
One of the main challenges of cancer patients and their healthcare providers is making decisions regarding choosing the best treatment option. In the first part of thesis, we analyze breast cancer patients’ data to discover ...
ASYMPTOTIC NORMALITY OF THE DECONVOLUTION KERNEL DENSITY ESTIMATORS BASED ON INDEPENDENT AS WELL AS STRONG MIXING RIGHT CENSORED DATA
(2020-08-10)
We consider estimation of a density when observed lifetime from the convolution model contaminated by additive measurement errors. A kernel type deconvolution density estimator of the unknown distribution based on right ...
Impact of domestic animals on prevalence of vector-borne diseases in humans
(2020-06-05)
Vector-borne infectious diseases are one of the leading problems for public health worldwide, particularly in underdeveloped and developing countries. These diseases infect humans through the bite of infected vectors. The ...
BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)
We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ...
PRECISION MEDICINE: GENE AND CLINICAL DATA ANALYSIS OF RENAL CANCER
(2020-05-12)
Recent advances in biotechnology led to generation of large complex biological and clinical data sets that can be used to infer the underlying mechanism of many diseases and arrive at personalized treatments. One of these ...
INVERSE PROBLEMS AND FORWARD PROPAGATION OF OPTICAL FLOW
(2020-08-24)
Optical flow is a concept originally introduced in computer vision that quantifies, and aids in the presentation of, motion (flow field) between two or more images. In essence, it is a solution of an inverse problem ...
New Development of Grid Generation and Image Analysis
(2020-08-05)
Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts.
The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ...
Likelihood Inference for Flexible Cure Rate Models in the Context of Infectious Diseases with Multiple Exposures
(2020-09-01)
Cure rate models are mostly used to study data arising from cancer clinical
trials. Its use in the context of infectious diseases has not been explored well. In 2007,
Tournoud and Ecochard rst proposed a mechanistic ...
Mathematical Modeling of Scavengers and Zebras on the African Savanna with Disease Dynamics
(2020-09-01)
The purpose of this dissertation is to use mathematical models to see how anthrax in the zebra population in Etosha National Park (ENP) interacts with scavenger populations and disease dynamics. First, we study if scavengers ...
OPTIMIZING L1 LOSS REGULARIZER AND ITS APPLICATION TO EEG INVERSE PROBLEM
(2020-07-21)
Sparse reconstruction occurs frequently in science and engineering and real-world applications, including statistics, finance, imaging, biological system, compressed sensing, and, today more than ever, machine learning and ...