Lectures
Stochastic Models of Cell Cycle Regulation in Eukaryotes
given on Nov 5, 2008, at VBI, Virginia Tech, Blacksburg, VA.
| Why do we need stochastic models for cell cycle regulation? | slides and audio |
| Stochastic models of cell cycle control in budding yeast. | slides and audio |
Practical Bifurcation Theory
8 lectures given weekly at Virginia Tech, Blacksburg, VA. (Oct. 6-Dec. 1, 2008)
| 1: Local Bifurcations--saddle node bifurcations. | slides and audio |
| 2: Hopf bifurcations. | slides and audio |
| 3A: Floquet multipliers--period doubling, torus and cyclic fold bifurcations. | slides and audio |
| 3B: Global bifurcations--homoclinic and heteroclinic orbits. | slides and audio |
| 4A: Codimension Two bifurcations--Cusp, Takens Bogdanov, Degenerate Hopf | slides and audio |
| 4B: How do 1-p bifurcation diagrams fit together at DH and TB points. | slides and audio |
| 5: An example by Guckenheimer on multiple bifurcations for chemical reactors. | slides and audio |
| 6A: More on Codimension Two bifurcations--TB and Saddle-Node-Loop | slides and audio |
| 6B: Fold-Hopf bifurcations. | slides and audio |
| 7: Fold-Hopf bifurcations continued. Case 1 and 2. | slides and audio |
| 8: Fold-Hopf bifurcations, Case 3 and 4. | slides and (no audio) |
Network Dynamics and Cell Physiology
given at Institute for Mathematics and Its Applications (IMA), Univ. of Minnesota, St. Paul, MN, April 17-18, 2008.
| Cell physiology, molecular biology and modeling. | video |
| Network motifs: sniffers, buzzers, toggles and blinkers. | video |
| Cell cycle regulation. | video |
Biological Switches and Clocks
given at Kavli Institute for Theoretical Physics (KITP) program, UC Santa Barbara, CA, Jul 2 - Aug 10, 2007.
| Biological switches | video |
| Cell cycle regulation | video |
Control of Cell Growth, Division and Death
given at Mathematical Biosciences Institute (MBI), Ohio State Univerisity, Columbus, OH, Sep 29 - Oct 3, 2003
| Modeling the cell cycle engine and checkpoints in yeast cells. | video |
| Modeling cell growth, diviions and morphology in fission yeast. | video |
Miscellaneous Lectures
|
2008. New frontiers in system biology. (slides) |
| 2008. How do cells compute? (slides) | |
| 2006. Network dynamics and cell physiology. (slides) | |
| 1999. Coping with complexity. (slides) | |
| 1998. Commencement speech at Virginia Tech on Dec. 18. (pdf or html) |
