# Miscellaneous

**APS March Meeting 2022 Poster.**
This poster summarizes the paper “Stochastic microbiome assembly depends on
context,’’ published in *PNAS* here.
Updated 3/18/22.

**The SmartToilet: “Dr. John” is the gateway to personalized medicine.**
First place winner of the SFU Postdoc Research Day *Writing for the Public
Contest*. A 250-word research summary prepared for “casual science
communication pieces for newspapers, magazine articles, blogs,
and more for public audiences.” Updated 3/31/21.

**SFU Postdoc Research Day 2021
Poster.** This poster summarizes
the theoretical aspects of Jones’ thesis (*Simplification and control of microbial
ecosystems*) and also showcases his postdoctoral work studying the role of
noise in ecological systems. Updated 3/31/21.

**Learning information theory with hangman.** For a game of hangman with a
three-letter word, in which X is the probability space of the first letter (26
elements) and Y is the probability space of the last two leters (26^2
elements), various information theoretic quantities (e.g. joint
entropy H(X,Y), conditional entropy H(Y|X), and the mutual information I(X;Y))
are examined.
Updated 11/26/20.

**Implementation of artificial boundary conditions in simulations of the 1D and 2D Fokker-Planck equations.**
The Fokker-Planck equation (FPE) describes the time-evolution of a probability
distribution subject to deterministic drift and stochastic diffusion.
Simulating this partial differential equation on a grid requires some care,
especially at the boundaries, to ensure no probability “leaks out.” This report
specifies how to implement boundary conditions in which
no leakage occurs with matrix equations for a 1D FPE equation, and
explains how this approach can be extended to 2D (and
higher-dimensional) FPE equations. Updated 10/6/20.