MBI Emphasis Year on Mathematical Challenges in Developmental Biology
September 2008- August 2009
Tutorial for Workshops 2 and 3 (October 9-10, 2008)
Organizer: Hans Othmer, School of Mathematics, University of Minnesota
| Thursday, October 9 |
| 10:00-11:00am |
Lecture |
| 11:15-11:30am |
Break |
| 11:30-12:30pm |
Lecture |
| 12:30-2:00pm |
Lunch break |
| 2:00-3:30pm |
Discuss Readings |
| Friday, October 10 |
| 10:00-11:00am |
Lecture |
| 11:15-11:30am |
Break |
| 11:30-12:30pm |
Lecture |
| 12:30-2:00pm |
Lunch break |
| 2:00-3:30pm |
Discuss Readings |
Related papers
Lecture Topics
- Background and overview:
- Model systems and the basic issues in pattern formation
- Basic processes in development
- Positional information theory
- Turing's theory
- An overview of what Turing's theory predicts
- Patterning on growing domains
- Types of models: Continuum, discrete, hybrid
- E. coli as a model system for colonial organization:
- Background on signal transduction, motor characteristics, motility and patterning
- Microscopic models of signal transduction
- Hybrid models of pattern formation
- Velocity jump processes and their mathematical description
- Diffusion approximation in the absence of taxis
- The classical chemotaxis equations
- Macroscopic chemotaxis equations from microscopic models of cell behavior
- Dictyostelium discoidium: a model developmental system:
- Overview of Dd development
- Modeling direction sensing and cAMP dynamics
- Continuum models of aggregation
- Hybrid models for early aggregation
- Mechanics in cell-based models
- The force exerted by a Dd slug
- Continuum models for amoeboid chemotaxis
Tutorial on Cancer, Angiogenesis, and Wound Healing (date to be announced)