Browsing Mathematics (Faculty of) by Supervisor "Sivaloganathan, Sivabal"
Now showing items 1-7 of 7
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The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model
(University of Waterloo, 2015-11-30)Cancer is a ubiquitous disease that afflicts millions of people worldwide and we will undoubtedly encounter it at some point in our lives, whether it be random strangers on the news, or someone much closer. As such, research ... -
Evolutionary Dynamics of Cancer: Spatial and Heterogeneous Effects
(University of Waterloo, 2017-01-23)Despite significant advances in the study of cancer and associated combination therapeutic treatments, cancer still remains one of the most common and complex often-terminal diseases. Acquisition of high-throughput ... -
Long-time behaviour of a coupled PDE model of high intensity focused ultrasound heating of biological tissue
(University of Waterloo, 2021-11-11)High Intensity Focused Ultrasound (HIFU) has emerged as a novel therapeutic modality, for the treatment of various cancers, that is gaining significant traction in clinical oncology. It is a cancer therapy that avoids many ... -
On the evaluation of quantum instruments with a consideration to measurements in trapped ion systems
(University of Waterloo, 2022-12-20)Trapped ion chains have shown promise in their application as quantum simulators. However, the close proximity of ions in the trap leads to operations such as state detection causing loss of coherence of other ions due to ... -
Stochastic Effects and Fractal Kinetics in the Pharmacokinetics of Drug Transport
(University of Waterloo, 2018-05-16)Pharmacokinetics (PK) attempts to model the progression and time evolution of a drug in the human body from administration to the elimination stage. It is the primary quantitative approach used in drug discovery/development ... -
Studies of tumor heterogeneity, tumor microenvironment, and radiotherapy: A mathematical and computational approach
(University of Waterloo, 2019-01-04)Radiotherapy uses high doses of energy to eradicate cancer cells and thus destroy the bulk of tumors. Radiobiologists try to precisely deliver radiation to a targeted area in order to maximize the cancer cell kill rate ... -
Wave Refraction Effects in High Intensity Focused Ultrasound
(University of Waterloo, 2019-01-22)High-Intensity Focused Ultrasound (HIFU) is a promising field of research being developed as an alternative to surgery and radiation therapy for the treatment of tumours. Within this field, many current methods of ...