Associate Professor
Applied Mathematics

Meagan Herald is an applied mathematician trained in mathematical biology, whose research uses mathematical models to understand the mechanisms of chronic respiratory inflammation.  Several respiratory diseases result in respiratory inflammation even though these diseases have different origins.  For instance patients with cystic fibrosis (CF) , a genetic disorder , or chronic obstructive pulmonary disease (COPD), often associated with environmental causes, suffer from chronic respiratory inflammation [1, 2, 3, 4].  Inflammation scars the respiratory tissue reducing the health of the individual.  Patients with these diseases often succumb due to respiratory problems.  Using nonlinear differential equations, Herald creates realistic models which are based on the underlying biology and immunology.  Analysis of these models uses various techniques such as bifurcation and stability analysis as well as numerical simulations.  Understanding the mathematical models leads to biological predictions that may help explain behaviors of the system, help researchers focus experiments, or even suggest possible therapeutic targets.

1.  V. DeRose.  Mechanisms and markers of airway inflammation in cystic fibrosis.  European Respiratory Journal, 19:333-340, 2002.

2.  R. O’Donnell, D. Breen, S. Wilson, and R. Djukanovic.  Inflammatory cells in the airways in COPD.  Thorax, 61:448-454, 2006.

3.  R. Tirouvanziam, S. de Bentzmann, C, Hubeau, J. Hinnrasky, J. Jacquot, B. Peault, and E. Puchelle.  Inflammation and infection in naïve human cystic fibrosis airway grafts.  American Journal of Respiratory Cell and Molecular Biology, 23:121-127, 2000.

4.  J. B. West.  Pulmonary Pathophysiology: The Essentials.  Lippincott Williams and Wilkins, Baltimore, sixth edition, 2003.

Assistant Professor
Applied Mathematics

Blain Patterson earned his PhD in mathematics education from North Carolina State University in 2019. His research focuses on teacher content knowledge as well as improving teaching and learning in undergraduate mathematics classrooms.

Sarah Ritchey Patterson is currently an assistant professor at the Virginia Military Institute in the Applied Mathematics Department. She earned a B.S. in Mathematics and Computer Science from Youngstown State University in 2013 and a Ph.D. in Mathematics from Duke University in 2019. Her research interests include computational fluid dynamics, fluid-structure interaction problems, mathematical modeling, and pedagogy of mathematics and computation science. Sarah actively advises undergraduate research projects and uses this perspective to enhance her teaching.   Sarah is also the assistant director for the Math in Italy Study Abroad Program.