Biology

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Gillespie Algorithm

The Gillespie Algorithm for stochastic equations is used heavily in a number of fields of applied mathematics, in particular computational systems biology.

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algorithm applied mathematics biology computational biology computational mathematics computer science differential equation probability stochastic equation

Lindenmeyer systems

Originally developed to model plant growth, L-systems are a logical approach to various scientific questions, as well as one of many ways to generate artistically pleasing fractals.

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art biology botany computability computer science fractal logic theoretical computer science

Molecular Set Theory

In 1960, A.F. Bartholomay wrote about a mathematical model of chemical reaction mechanisms using set theory.

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applied mathematics biology category theory chemistry set theory

Protein Structure Prediction

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biology chemistry computer science optimization

The Hyperbolic Crochet Coral Reef

Naturally growing coral and crochet share an interesting trait in common: they help visualize hyperbolic planes. This talk might explore aspects of geometry, art and craft, or biology.

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art biology geometry hyperbolic geometry recreational mathematics

Tropical geometry and Computational Biology

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tropical algebra, where the sum of twonumbers is their minimum and the product is their sum. This turnspolynomials into piecewise-linear functions, and their zero sets into polyhedralcomplexes.

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algebra algebraic geometry applied mathematics biology computational biology computer science geometry