In htis post, I’ll discuss a simulation technique for generating statistically exact jump times when the rate is state-dependent, $\lambda(X_t)$.

I’ve recently completed my PhD in the mathematical biology research program. Later this year, I’ll start a postdoc at the Courant Institute.

My research centers around using mathematics to understand how biological systems function *because* of **randomness**, rather than *in spite* of it.

Within this realm, I have particular interests in

- molecular motors and intracellular transport
- jump-diffusion processes
- noise in ligand-receptor signaling

Analysis of non-processive molecular motor transport using renewal reward theory.
submitted,
2017.

Complex nearly immotile behavior of microtubule-associated cargos.
submitted,
2017.

Math 3150.01 Partial differential equations (PDEs)

Canvas site

In htis post, I’ll discuss a simulation technique for generating statistically exact jump times when the rate is state-dependent, $\lambda(X_t)$.

I’ll discuss the use of operator splitting as the basis for numerically solving ODEs or PDEs with some concrete examples. Along the way, we’ll stumble into a lot of linear algebra and a teensy bit of Lie theory.

- miles@math.utah.edu
- LCB (LeRoy Cowles Building) 326, Salt Lake City, UT