Just as physics speaks the language of mathematics, the life sciences speak the
language of algorithms. The difference lies in the high descriptive complexity of the
systems commonly found in social and biological organisms. While history plays a
minor role in physics, it is the distinguishing feature of the living world. Algorithms
provide not only the expressivity needed to model complex living systems but also
the analytical tools for their analyses. This (self-contained) talk will discuss the
power of "natural algorithms" through the lens of "influence systems," a broad
family of high-dimensional dynamical systems for which algorithmic tools can do
what differential equations cannot.