Todd Young
Dynamics in Biology Research Group - Fall 2012. Front: Nathan Breitsch, Danielle Witt, Xue Gong, Kara Finley. Middle: Bismark Oduro, Winfried Just, Todd Young, Philip Miller. Back: Richard Buckalew, Greg Moses.	Professor Undergraduate Chair Department of Mathematics 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.

• Math Q2S Web Site

• 2002 Recipient of the College of Arts and Sciences "Dean's Outstanding Teacher Award"
  
• Coordinator for MATH 2301, 2302, 3300 Calculus I - III
• Q2S Undergraduate Coordinator

Contact Information Department of Mathematics Ohio University Athens, OH 45701 E-mail: youngt@ohio.edu Office: Morton Hall 547 Office hours: MR 11:10-12:00 Phone: (740) 593-1277

Education & Professional Experience

Teaching

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.

Research

General Interest:

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 Research Assistants.

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.

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. Doi: 10.1016/j.mbs.2011.12.004.

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. PMC: 3276378.

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:

• The Fourth International Conference on Recent Advances in Applied Dynamical Systems, June 16-20, 2010, Zhejiang Normal University

• Nonlinear Dynamics: New Directions Centro de Investigación en Matemáticas, Guanajuato May 11-14, 2010. A conference dedicated to Valentin Afraimovich on the occasion of his 65th birthday.

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