Department of Mathematics, Statistics and Computer Science

                Since 1985, The Department has offered a Ph.D. in Mathematics with a specialization in Biomathematics.

This program is based on the research of associated faculty in biomedical areas. The dissertation research is

collaborative with faculty of Marquette's Department of Biological Sciences , the Department of Biomedical Engineering,

the Medical College of Wisconsin, the Zablocki VA Medical Center, and Milwaukee area hospitals. The last student finishing

with a Ph.D. in Mathematics is Pandiyan. All future students will be through the program in Computational Sciences which

started in the Fall semester of 2009

Due to the applied nature of the research, coursework involves a broad range of pure and applied topics.

In addition, the Biomathematics Seminar chooses timely topics of interest for semester or year-long treatment.

The seminar is offered every semester. Topics have included Differential Equations and Dynamical Systems in Biology,

Fourier Analysis of fMRI (1 year), Modeling Heart, Lung, and Thyroid,

Models of Protein Docking, Stochastic Modelling for Systems Biology,

Biological Sequence Analysis, Modeling with Stochastic Differential Equations,

Numerical Solution of Stochastic Differential Equations, Nonlinear Time Series,

Numerical Solution of Partial Differential Equations, Monte Carlo Simulation, Medical Imaging, Integral

Equations, Delay Differential Equations, Modeling the Immune Response, Chaos in Iterated Systems and Cellular Automata,

Modeling the Microarray, and Simulation Methods.

                Students who have received degrees in this program, their dissertation titles, and (major professor) are:

1988    Xuncheng Huang  Mathematical analysis of population models  (S. Merrill)

1992    Ondine Harris The Polymerase Chain Reaction: A Stochastic Model,
                        Methods of Quantification, and Applications to HIV  (S. Merrill)

1993    Zhixiong He Mathematical models of muscle response to periodic stimuli  (S. Merrill)

1996    Xing Wu Dynamical systems in the modeling of lampry fictive swimming  (S. Merrill)

  1998    Christina Kendziorski A physiologically based mathematical model of arterial pressure
                        recordings  (P. Tonellato)

2001    Brian Murphy Modeling the time to engraftment of white blood cells and platelets following
                        autologous peripheral blood stem cell transplantation  (S. Merrill)

2001    Albert Manual Mathematical model for evaluation of velocity profile effects on
                        cross-sectional concentration with application to x-ray imaging (A. Clough)

2004    Jinghui Luo Construction and analysis of airway water clearance models (G. Krenz)

2005    Roumyana Yordanova Markov chain decomposition and characterization of hypertensive blood
                        pressure with applications to linkage analysis (P.Tonellato)

2008 Shivani Ratnakumar Markov chain modeling of ECG gated live left atrial fluoroscopy variability

to establish a well-defined basis for rigid registration to a 3D CT image (S. Merrill)

2011 Balamurugan Pandiyan Mathematical modeling and dynamical analysis of the operation of the

hypothalamus-pituitary-thyroid (HPT) axis in autoimmune (Hashimoto’s) thyroiditis(S. Merrill)