# Mathematical Biology

## Disease Dynamics 2013 (Photos)

## Alan Turing and the Patterns of Life

## 2012 IGTC Summit: Prof. Steve Krone (Part II)

There are many examples in nature where a system goes through a succession of states that are cyclically related. Examples include ecological succession in a forest and SIRS models of epidemics. When such populations are spatially arranged (as are *all* populations to some degree), these cyclic dynamics can sometimes lead to the spontaneous formation of spatial patterns such as spiral waves. We will explore this phenomenon via interacting particle system models and related differential equations.

## 2012 IGTC Summit: Prof. Steve Krone (Part I)

These talks will provide an introduction to individual-based stochastic spatial models (sometimes called interacting particle systems or stochastic cellular automata). We will proceed from very simple basic models to more elaborate ones, illustrating the ideas with examples of spatial biological population dynamics. We will compare these models and results with analogous differential equations (ODE and PDE) and see how they are connected. Biological topics will include spatial population growth and spread, epidemics, evolution of pathogens, and antibiotic resistance plasmids. Throughout, we will point out situations in which spatial structure can dramatically influence the ecology and evolution of populations.

## IGTC 2012 Math Bio Summit

## Mechanical Simulations of Cell Motility

## Polymer Size Distributions (continued)

## On growth and form: geometry, physics and biology

## Mathematical Cell Biology Summer Course Lecture 36

## Mathematical Cell Biology Summer Course Lecture 35

- Regulatory circuits in Bacterial Chemotaxis and motility
- Introduction to molecular motors, porters vs rowers and cooperativity of myosin in muscle
- Microtubule dynamics
- Cytokinesis
- FRAP studies of microtubule dynamics in the mitotic spindle