Statistical models in DNA sequence evolution and in atmospheric science
Sophie Thorpe
Undergraduate Researcher
Mathematics Major (College of Arts & Sciences)
Wai-Tong (Louis) Fan
Faculty Mentor
Wai-Tong (Louis) Fan (College of Arts & Sciences)
Project Description
The research involves mathematical modeling, computer simulations and statistical analysis for important questions in applied sciences. We shall develop mathematical models to analyse dynamical systems in the biological and the atmospheric sciences. We will start from classical examples (such as the Wright Fisher model and the Moran model), perform computer simulations for those example models and gradually build more realistic models to test important scientific hypothesis.
Technology or Computational Component
Students will solve ordinary differential equations through numerical method such as the Euler method. They will perform computer simulation of various Markov chains to visualize and illustrate the system under study. They will learn how to ask questions and formulate conjectures, which are important skills in research.