Welcome!

Josh Chang headshot

I am generally interested in using analytical as well as statistical and computational approaches in order to understand biological systems, particularly those of neuroscience. I am also interested in fundamental questions of probability measure in infinite dimensional Banach spaces. My recent work as been on inverse problems relevant to biology as well as mathematical modeling of Cortical Spreading Depression and ectopic tissue calcification.

I am currently a postdoctoral fellow at the National Institutes of Health working primarily on a joint project with the social security administration in the goal of optimizing all aspects of the processing of disability benefits. From 2012-2015, I was an NSF postdoctoral fellow at the Mathematical Biosciences Institute (MBI). My postdoctoral mentors at MBI were Robert M. Miura (NJIT) and Kevin C. Brennan (UofU). I previously completed my Ph.D. in Biomathematics at UCLA, where my advisor was Tom Chou.

The primary tools that I use and study in my research include the path integral, stochastic differential equations, partial differential equations, homogenization, Gaussian processes, and convex optimization.

Recorded lectures

  • Fields Institute talk on Neurovascular Coupling and Spreading Depression [link]

Collaborators

Some of my current collaborators in no particular order:

Funding Institutions

I am grateful for support from the following institutions and agencies:

MBI Logo National Science Foundation The Ohio State University