Browsing Applied Mathematics by Subject "mathematical biology"
Now showing items 1-6 of 6
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Applications of Deep Learning to Differential Equation Models in Oncology
(University of Waterloo, 2023-07-25)The integration of quantitative tools in biology and medicine has led to many groundbreaking advances in recent history, with many more promising discoveries on the horizon. Conventional mathematical models, particularly ... -
Calcium Transport and Regulation in Male and Female Rat Kidney
(University of Waterloo, 2023-05-16)Calcium is an essential mineral that plays a critical role in many biological processes, such as muscle contraction, nerve function, and bone health. However, maintaining the right balance of calcium in the body is crucial ... -
Mathematical Modeling of Kidney Function During Pregnancy
(University of Waterloo, 2022-05-16)During pregnancy major adaptations must occur in the maternal body to be able to support the rapidly developing fetus and placenta. Adaptations occur in almost all tissues and organs. These changes are dynamic, complex, ... -
Mathematical Modelling of the Intrarenal Renin Angiotensin System in Hypertension
(University of Waterloo, 2023-04-24)Hypertension is the leading cause of cardiovascular disease and premature death world-wide. It is a highly multi-factorial disease associated with multiple risk factors and patho-physiological changes, including impaired ... -
Mathematical Models of Mitochondria in the Kidney and Liver
(University of Waterloo, 2022-03-24)Mitochondria are key players in several kinds of tissue injury, and are even the site of mechanism of certain diseases. In this work we introduce new models of mitochondrial ATP generation in multiple tissues, including ... -
Mutation rates of Escherichia coli with different balanced growth rates: a new fluctuation test protocol and phenotypic lag adjustments
(University of Waterloo, 2020-10-23)Bacteria are the oldest, most abundant life form on the planet, and every other organism’s livelihood is dependent on them. The bacteria Escherichia coli (E. coli) is commonly used in microbiology as a model organism to ...