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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

• Christopher Janetopoulos and Richard A. Firtel. Directional sensing during chemotaxis.
• Victor Sourjik. Receptor clustering and signal processing in E. coli chemotaxis.
• George H. Wadhams and Judith P. Armitage. Making sense of it all: bacterial chemotaxis.
• Pattern Formation in Turing Systems

Lecture Topics

1. 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
2. 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
3. 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)