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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 ...
ON SOME PROBLEMS IN SPARSE HYBRID IMAGING, NON-STANDARD FINITE DIFFERENCE METHODS, AND FOKKER-PLANCK FRAMEWORKS IN ESOPHAGEAL CANCER
(2022-08-16)
In this thesis, we first discuss nonlinear optimization frameworks for the sparsity-
based on nonlinear reconstruction of parameters in hybrid imaging modalities such as
current density impedance imaging (CDII) and two-photon ...
DECONVOLVING KERNEL REGRESSION FUNCTION ESTIMATION BASED ON RIGHT CENSORED DATA
(2021-08-16)
In this study, we propose a new regression function estimator when the observa-
tion is contaminated in the convolution model with error in independent variable. We
want to examine the e ect of the error variables when ...
Decomposition of Modules and Tensor Products over Principal Subalgebras of Truncated Polynomial Rings
(2022-08-15)
The topic of my dissertation is to investigate the behavior of modules and tensor products over a truncated polynomial ring with prime characteristic. This investigation utilizes principal subalgebras of the truncated ...
ON A CUBIC NONLINEAR EQUATION MODEL ARISING IN SHALLOW WATER THEORY
(2021-08-06)
The shallow water waves theory produces numerous integrable equations with cubic non- linearity as asymptotic models. We began our work by formally deriving a model equation for the free surface elevation η with higher-order ...
Exponential Tensor Modules
(2022-06-02)
Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ...
HIGHER-ORDER NONSTANDARD FINITE DIFFERENCE METHODS FOR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN MATHEMATICAL ECOLOGY
(2022-08-08)
Nonstandard finite difference (NSFD) methods have been widely used to numerically solve various problems in biology. In recent years, NSFD methods have been proposed that preserve essential properties of the solutions of ...
Twisting Systems and some Quantum P³s with Point Scheme a Rank-2 Quadric
(2022-05-18)
In 1996, J. J. Zhang introduced the concept of twisting a graded algebra by a twisting system, which generalizes the concept of twisting a graded algebra by an automorphism (the latter concept having been introduced in an ...
Abrading the enigma of the wound healing process: Modeling the inflammation, proliferation, and maturation stage
(2022-08-17)
Wound healing encompasses a group of processes categorized into overlapping stages known as the inflammation, proliferation, and maturation/remodeling stage. The dynamics of these processes are important in studying outcomes ...
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 ...