Medical Biomathematics and Biometrics Commons^™

Interaction Of Alu Polymorphisms And Novel Measures Of Discrimination In Association With Blood Pressure In African Americans Living In Tallahassee, Alexis C. Boulter, Jackyn Quinlan, Aida T. Miró-Herrans, Laurel N. Pearson, Nubiana L. Todd, Clarence C. Gravlee, Connie J. Mulligan

Human Biology Open Access Pre-Prints

African Americans are 40% more likely to be afflicted with hypertension in comparison to non-Hispanic, white Americans, resulting in a 30% higher instance of mortality due to cardiovascular disease. There is debate about the relative contributions of genetic and sociocultural risk factors to the racial disparity in hypertension.

We assayed three Alu insertion polymorphisms located in the angiotensin-1-converting enzyme (ACE), tissue plasminogen activator (PLAT), and with no-lysine kinase 1 (WNK1) genes. We also estimated West African genetic ancestry and developed novel measures of perceived discrimination to create a biocultural model of blood pressure among …

Mathematical Modeling And Simulations Of The Pathophysiology Of Type-2 Diabetes Mellitus, Frank K. Nani, Mingxian Jin

Math and Computer Science Faculty Working Papers

The pathophysiology of Type 2 Diabetes Mellitus (T2DM) is modelled using a coupled system of non-linear deterministic differential equations. An attempt is made to construct to a clinically plausible mathematical model that incorporates the homeostasis associated with endocrinological regulation of glucose and glycogen levels in the human body, by the hormones, insulin and glucagon. The model variables include the concentrations of glucose in the venous blood plasma, the concentration of glycogen in the liver/tissues, the concentration of the hormone glucagon, and the concentration of insulin in the venous blood plasma. The physiological interactions between the model parameters are depicted by …

Nonparametric Inference In Hidden Markov Models Using P-Splines, Roland Langrock, Thomas Kneib, Alexander Sohn, Stacy L. Deruiter

University Faculty Publications and Creative Works

Hidden Markov models (HMMs) are flexible time series models in which the distribution of the observations depends on unobserved serially correlated states. The state-dependent distributions in HMMs are usually taken from some class of parametrically specified distributions. The choice of this class can be difficult, and an unfortunate choice can have serious consequences for example on state estimates, and more generally on the resulting model complexity and interpretation. We demonstrate these practical issues in a real data application concerned with vertical speeds of a diving beaked whale, where we demonstrate that parametric approaches can easily lead to overly complex state …

An Association Study Between Adult Blood Pressure And Time To First Cardiovascular Disease, Yongjia Pu

Theses and Dissertations

BACKGROUND: Several studies have demonstrated the association between the time to hypertension event and multiple baseline measurements for adults, yet other survival cardiovascular disease (CVD) outcomes such as high cholesterol and heart attack have been somewhat less considered. The Fels Longitudinal Study (FLS) provides us an opportunity to connect adult blood pressure (BP) at certain ages to the time to first CVD outcomes. The availability of long-term serial BP measurements from FLS also potentially allows us to evaluate if the trend of the measured BP biomarkers over time predicts survival outcomes in adulthood through statistical modeling.

METHODS: When the reference …