Biological Modeling

In recent decades, an explosive synergy between biology and mathematics has greatly enriched and extended both fields. Indeed, given its ability to reveal otherwise invisible worlds in all kinds of biological systems, mathematics has been called the "new microscope in biology." In turn, biology has stimulated the creation of new realms of mathematics. Duke's Mathematics Department has a large group of mathematicians who work on specific biological and medical applications and as well as the development of new applied mathematical techniques and new mathematical theorems inspired by biological applications. The range of applications is large and the mathematical techniques diverse, including dynamical systems, partial differential equations, stochastic dynamics, fluid dynamics, geometry, topology, and algebra.

Faculty

Ingrid Daubechies

James B. Duke Professor of Mathematics and Electrical and Computer Engineering

Keywords in this area
shape space

Richard Timothy Durrett

James B. Duke Professor of Mathematics

Keywords in this area
population genetics, selective sweeps, stepping stone models, interacting particle systems, contact processes, spatial ecological models, cancer modeling, tumor heterogeneity

Other research areas
Biological Modeling Probability

John Harer

Professor of Mathematics

Keywords in this area
Gene Regulatory Networks, Network Inference

Gregory Joseph Herschlag

Visiting Assistant Professor of Mathematics

Keywords in this area
biological modeling

David P. Kraines

Associate Professor Emeritus of Mathematics

Keywords in this area
Prisoner's dilemma, sequestering CO2

Other research areas
Biological Modeling Topology

Anita T. Layton

Robert R. & Katherine B. Penn Professor of Mathematics

Keywords in this area
mathematical biology, mathematical physiology, mathematical modeling, kidney physiology, renal hemodynamics, diabetes, multiscale modeling, fluid-structure interactions, computational fluid dynamics, numerical partial differential equations, feedback control, systems biology

Harold Layton

Professor of Mathematics

Keywords in this area
renal modeling

Jonathan Christopher Mattingly

Professor of Mathematics

Keywords in this area
Stochastic and Random PDEs, Stochastic Dynamical Systems, Mathematical Ecology and Evolution, Metabolic and Cellular modeling, Out of equilibrium statistical mechanics

Sayan Mukherjee

Professor of Statistical Science

Keywords in this area
quantitative genetics, statistical genetics

James H. Nolen

Associate Professor of Mathematics

Keywords in this area
asymptotic analysis

Amanda Randles

Assistant Professor of Biomedical Engineering

Michael C. Reed

Professor of Mathematics

Other research areas
Analysis Biological Modeling
missing portrait

Marc Daniel Ryser

Visiting Assistant Professor in the Department of Mathematics

Keywords in this area
cancer biology, cancer epidemiology, early carcinogenesis, Human papillomavirus, cancer evolution