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How does the brain encode spatial structure? One way is through hippocampal neurons called place cells, which become associated to convex regions of space known as their receptive fields: each place cell fires at a high rate precisely when the animal is in the receptive field. The firing patterns of multiple place cells form what is known as a convex neural… (More)

- Bryan Félix, Anne Shiu, Zev Woodstock
- Applied Mathematics and Computation
- 2016

Multistationary chemical networks are a subject of interest to scientists and mathematicians alike. While some criteria for multistationarity have been given, explicitly solving for these rates and concentrations is nontrivial. We use an existence proof to describe a method that allows us to find multiple steady states of a system given that satisfies the… (More)

- Meredith McCormack-Mager, Carlos Munoz, Zev Woodstock
- 2015

Violations of the second law of thermodynamics often occur unde-tected in chemical reaction networks, leading to inaccuracy of the model. Beard et al. have given necessary and sucient conditions for determining thermodynamic feasibility of flux vectors based on cycles of an oriented matroid derived from a reaction network's stoichiometric matrix. Their… (More)

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