Wednesday, February 23, 2011

The mathematics of fish schools and flocks of humans

What drives groups of individual animals to act in a coherent manner? Everyone has seen the oddly coordinated behavior exhibited by flocks of birds or schools of fish as they turn, sweep, and rotate seemingly as one. But how does a group of individuals make decisions about how to move and where to go at once? Do they follow some prescribed and describable mathematical behavior? A symposium at this year's AAAS conference attempted to answer this question.

Professor Ian Couzin from Princeton University opened the symposium by describing his work on modeling the underlying behavior of large groups of individuals. In his work, he describes the equation of motion for any individual entity as governed by three factors: a short-range repulsive behavior, an intermediate range desire to align with neighbors, and a long-range attraction to the group as a whole. 

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Kelly Carlson Sara Foster Natassia Malthe Victoria Silvstedt Hilary Swank

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