Mostly for me, I am writing a little history of mathematical models. A timeline really. 1202, Fibonacci tried to model…
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Estimating superinfection prevalence
We have published 2 papers in the last year related to superinfection. That is the phenomenon by which a single…
Stochastic solvers for dynamical systems
So there are two main ways that we might typically take a dynamical system (expressed as a set of interacting…
Compound interest cure
So I guess I never got around to summarizing our paper published last year in Scientific Reports (PAPER). The paper…
Immunology is a complex/nonlinear system, which is cool…
if you like typically analytically intractable math. The humanist motivations for studying immunology are, frankly, trivial to state. But what…
Euler’s Proof
I was reminded of Euler’s proof that there are infinitely many prime numbers in reading my new (used) copy of…
Extinction in an HIV model
Via Professor Jessica Conway’s really nice paper and complete notes in her supplementary file, I’m redoing a calculation for my own…
Lognormal and power law distributions
Where does a log-normal distribution “come from”? The log-normal distribution shows up all over the place because it arises from a quite…
Hyrien tricks for model fitting
In meeting with Ollivier recently, we discussed the proper approach for fitting a dynamical system model to time series data,…