Dynamics in Biology Research Group - Spring 2014.
Front: Xue Gong, Todd Young, Kara Finley. Back: Richard Buckalew, Ying Xin, Winfried Just, Danielle Witt,
Valentin Afraimovich, Greg Moses, Bismark Oduro, Will Clark.
Missing: Nathan Breitsch, Philip Miller.
My mission: To contribute to transformative progress in biology and
medicine through the application of dynamical systems ideas and to
give students at all levels exciting and rigorous training in the
mathematical sciences that will help them to have productive, rewarding careers.
Department of Mathematics
- Joint Editor-in-Chief of the research journal: Dynamical Systems
- Coordinator for MATH 2301, 2302, 3300 Calculus I - III
- 2002 Recipient of the College of Arts and Sciences
"Dean's Outstanding Teacher Award"
New Professor Lecture, April 2011
- Department of Mathematics
Athens, OH 45701
- E-mail: email@example.com
- Office: Morton Hall 547
- Office hours: MR 11:10-12:00
- Phone: (740) 593-1277
Education & Professional Experience
Introduction to Numerical Math and Matlab Programming
Ohio University's MATLAB Homework Page
MATH 344 Page
1804 Project - Computational Technology in the Calculus and Beyond
Book: Technology in College Math - A Simple Approach
The Matlab Workbook - A Supplement for Calculus, Differential Equations and Linear Algebra.
- Gregory Moses
- PhD Mathematics; active since Summer 2010. Project: Dynamical modeling of the cell cycle in large ensembles of cells with cell-cell feedback.
- Xue (Shirley) Gong
- PhD Mathematics; active since Fall 2010. Project: Dynamical modeling of the cell cycle in large ensembles of cells with cell-cell feedback.
- Kara Finley
- Bachelors Biology; active since Spring 2012. Project: Dynamical modeling of the cell cycle in large ensembles of cells with cell-cell feedback.
- Philip Miller
- Bachelors Biology expected 2015; active since Fall 2012. Project: Cell cycle dynamics and Chagas Disease
modeling, with W. Just..
- William Clark
- Bachelors Math and Mechanical Engineering; active since Spring 2013. Project: Computations of
models of epidemiology of Chagas disease, with W. Just.
- Richard Bucklew
- Ph.D. Mathematics 2014.
Project: Dynamical modeling of the cell cycle in large ensembles of cells with cell-cell feedback. '
Currently: Postdoc at the Mathematical Biosciences Institute (MBI) in Columbus, Ohio.
- Danielle Witt
- B.S. Math and Physics 2014; active 2012-14. Projects: Computation of random dynamical systems,
with A. Neiman and simulation of movement of filaments in axons with P. Jung.
Currently: Masters in applied math student at Wright State University.
- Nathan Brietch
- B.S. HTC Mathematics 2014; active 2011-2014
Project: Dynamical modeling of the cell cycle in large ensembles of cells with cell-cell feedback.
Won Outstanding HTC Thesis Award.
Currently masters student in computer science at Kent State Univesity.
- Ben Elbert
- M.S. Applied Math 2012; active 2010-12. Project: Computation of Lyapunov exponents and conversion
between continuous and Boolean dynamical systems, with W. Just.
Currently at Alliance Data, Columbus OH.
- Neal Burk
- B.S. Mathematics 2011; active 2010-2011. Project: Computations of cell cycle systems.
Interned with Sherwin Williams. M.S. in accounting.
Currently an associate at Ernst and Young in Cleveland.
- Mike Smith
- M.S. Applied Mathematics 2011; active 2009-2011. Project: Computations of cell cycle systems.
Currently studying for doctorate in Math Ed at Ohio U.
- Derrick Sturgill
- M.S. Applied Math 2011; active 2009-2011. Project: Computations of cell cycle systems.
Currently studying for doctorate in Math Ed at Ohio U.
- Andrew DiLullo
- B.S. 2007. Project: Using Potential Function in binary classification.
Finished a PhD Physics at Ohio University. Currently: Postdoctoral Researcher at Argonne National Laboratory
- Shannon McDonough
- B.S. Actuarial Science 2005. Project: Organization of Matlab learning materials.
Currently: Biostatistician at SWOG - leading cancer research.
- Hans Kicken
- B.S. 2003. Project: Computations of Schelling's model of segregation.
Currently: Working in the insurance industry in the Charlottesville Virginia Area.
- Russell Francis
- B.S. Chemical Engineering 2003 and M.S. Applied Math 2008.
Project: Computation of adiabatic invariants under separatrix crossings in Hamiltonian systems.
Currently working for a security startup company based in Pittsburgh.
- Kiffany Keyes
- B.S. Math 2003. Project: Organization of Matlab learning materials.
Currently teaching High School in Clevelend.
- Mohamed Usman
- M.S. Applied Math 2001. Project: Computation of adiabatic invariants
under separatrix crossings in Hamiltonian systems.
Currently: Associate Professor of Mathematics, University of Dayton.
- Mike Saum
- M.S. Applied Math 1999. Project: Parallel computation of observed rotation numbers in dynamical systems. Currently Assistant Professor of Mathematics, Georgia Gwinnett College.
Differential Equations and Dynamical Systems. Especially:
Global Bifurcation Theory, Random Dynamical Systems and Applications to Biological Systems
Publications and Preprints
Current Projects and Sample Publications
- Cell Cycle Dynamics and Clustering
- This is a very broad project including both applied and pure mathematical parts. The project web site has details. It is a joint project with Erik Bozcko
of Vanderbilt University School of Medicine. It is funded by
a Joint DMS/NIGMS Initiative to Support Research in the Area of
Mathematical Biology grant NIH-NIGMS R01GM090207 that includes
opportunities for partial support for Graduate and Undergraduate
ODE, RDE and SDE Models of Cell Cycle Dynamics and Clustering in Yeast,
Erik M. Boczko, Tomas Gedeon, Chris C. Stowers and Todd Young, J. Biological Dynamics 4, July 2010, 328–345.
Clustering in Cell Cycle Dynamics with General Responsive/Signaling Feedback,
T. Young, B. Fernandez, R. Buckalew, G. Moses, E. Boczko,
J. Theor. Biology 292 (2012), 103-115.
Cell Cycle Dynamics: Clustering is Universal in Negative Feedback Systems,
N. Breitsch, G. Moses, T. Young, E. Boczko,
J. Math. Biology, to appear.
- Pulmonary Infection and Immunity
- This is joint work with Erik Bozcko at Vanderbilt University School of Medicine.
We are seeking to develop a new non-invasive monitoring technique, invented by Bozcko, to mitigate
ventilator associated pneumonia. We are also seeking to use the monitoring technique as a tool
to non-invasively study the human immune system in the lungs.
A Low Dimensional Dynamical Model of the Pulmonary
Innate Immune Response to Infection, T.R. Young, R. Buckalew, A.K. May, E.M. Boczko,
Math. Biosciences 235 (2012), 189-200.
Non-Invasive detection of pulmonary pathogens in
ventilator-circuit filters by PCR. R.J. Isaacs, K. Debelak, P.R. Norris, J.M. Jenkins,
J.C. Rooks, T.R. Young, A.K. May, E.M. Boczko,
Amer. J. Translational Research 4 (1) (2012), 72-82.
- Modularity and other aspects of Neural Networks
- This is joint work with Valentin Afraimovich, my advisor, Universidad Autónoma de San Luis Potosí and
Mikhail Rabinovich at the Institute for Nonlinear Science at UC San Diego.
Nonlinear dynamics of emotion-cognition interaction: When emotion does not destroy cognition? ,
by V. Afraimovich, T. Young, M.K. Muezzinoglu, M. Rabinovich,
Bulletin Mathematical Biology, 73 (2011), 266-284.
- Questions about Random Dynamical Systems and Bifurcations with Bounded Noise
- This is a joint project with Ale Jan Homburg in the Department of Mathematics at the University of Amsterdam.
Hard bifurcations in dynamical systems with bounded random perturbations,
with A.J. Homburg,
Regular & Chaotic Dynamics 11 (2006), 247-258.
The Hopf bifurcation with bounded noise, R.T. Botts, A.J. Homburg, T.R. Young, Discrete Cont. Dynam. Systems - A. 32 (2012), 2997-3007.
- Random Questions about Dynamical Systems and Bifurcations
- My research started in the area of Global Bifurcation Theory of
Smooth Dynamical Systems. I continue to be interested in the general
theory of dynamical systems. Some recent publications representing this
aspect of my research include:
Topological entropies for equivalent smooth flows,
with W.X.~Sun, T.Y. and Y.H.~Zhou,
Transactions of the American Mathematical Society 361 (2009), 3071-3082.
Higher Order Birkhoff Averages, Thomas Jordan, Vincent Naudot and T.Y., Dynamical Systems 361 (2009), 3071-3082..
- Signed Distance Function as a Tool for Binary Classification
- This project is a joint effort with Erik Bozcko
Comparison of binary classification based on signed distance functions
with support vector machines,
with E.~Boczko, D.~Wu and M.H.~Xie,
Proc. Ohio Collaborative Conference on Bioinformatics, 2006.
Some Past Conferences: