Biological Modeling

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

Dorothy Elizabeth Buck

Dorothy Elizabeth Buck

Research Professor of Mathematics

Other research areas
Biological Modeling Topology
Ingrid Daubechies

Ingrid Daubechies

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

Keywords in this area

shape space

Richard Timothy Durrett

Richard Timothy Durrett

James B. Duke Distinguished 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

John Harer

Professor of Mathematics

Keywords in this area

Gene Regulatory Networks, Network Inference

Gregory Joseph Herschlag

Gregory Joseph Herschlag

Assistant Research Professor of Mathematics

Keywords in this area

biological modeling

Alexander A. Kiselev

Alexander A. Kiselev

William T. Laprade Distinguished Professor of Mathematics

Keywords in this area

Chemotaxis, enhancement of biological reactions

David P. Kraines

David P. Kraines

Associate Professor Emeritus of Mathematics

Keywords in this area

Prisoner's dilemma, sequestering CO2

Other research areas
Biological Modeling Topology
Jonathan Christopher Mattingly

Jonathan Christopher Mattingly

James B. Duke Distinguished Professor

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

Sayan Mukherjee

Professor of Statistical Science

Keywords in this area

quantitative genetics, statistical genetics

James H. Nolen

James H. Nolen

Associate Professor of Mathematics

Keywords in this area

asymptotic analysis

Amanda Randles

Amanda Randles

Alfred Winborne and Victoria Stover Mordecai Assistant Professor of Biomedical Sciences

Michael C. Reed

Michael C. Reed

Professor of Mathematics

Marc Daniel Ryser

Marc Daniel Ryser

Assistant Professor in Population Health Sciences

Keywords in this area

cancer biology, cancer epidemiology, early carcinogenesis, cancer evolution

Other research areas
Biological Modeling Probability
David G. Schaeffer

David G. Schaeffer

James B. Duke Distinguished Professor Emeritus of Mathematics

Hau-Tieng Wu

Hau-Tieng Wu

Associate Professor of Mathematics

Keywords in this area

physiological time series, multimodal time series