I am currently an NSF postdoctoral fellow at the Mathematical Biosciences Institute in Columbus OH. I am generally interested in stochastic processes and homeostasis of biological systems. My recent work as been on inverse problems relevant to biology as well as mathematical modeling of Cortical Spreading Depression and ectopic tissue calcification. My postdoctoral mentors are 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.
In my papers I go by the formal name Joshua C. Chang, but in real life I go by just simply Josh. English is my native language but I also speak Mandarin fluently. My Chinese name is is 張家顯.
- Joshua C. Chang, Pak-Wing Fok, and Tom Chou. Simultaneous Bayesian reconstruction of diffusivity and bond potentials using path-integrals. [pdf]
- Joshua C. Chang, Van Savage, and Tom Chou. A path-integral approach to Bayesian inference for inverse problems using the semiclassical approximation, Journal of Statistical Physics. [doi:10.1007/s10955-014-1059-y] [arXiv:1312.2974]
- Joshua C. Chang, K.C. Brennan, Dongdong He, H. Huang, R.M. Miura, Phillip L. Wilson, J.J. Wylie. A mathematical model of the metabolic and perfusion effects on cortical spreading depression. PLoS One, August 2013. [link] [arXiv preprint]
- Joshua C. Chang, and Tom Chou. Iterative graph cuts for image segmentation with a nonlinear statistical shape prior, Journal of Mathematical Imaging and Vision, Volume 49, Issue 1, pp 87-97, DOI:10.1007/s10851-013-0440-9. [arXiv preprint] [Springer]
See Research for a complete list of my publications.
Some of my current collaborators in no particular order:
- Robert Miura, NJIT Departments of Mathematical Sciences and Biomedical Engineering
- KC Brennan, University of Utah Department of Neurology
- Huaxiong Huang, York University Department of Mathematics and Statistics
- Jonathan Wylie, City University of Hong Kong Department of Mathematics
- Markus Dahlem, Humboldt-Universität zu Berlin
- Tom Chou, UCLA Departments of Biomathematics and Mathematics
- Van Savage, UCLA Departments of Biomathatics and Ecology and Evolutionary Biology
- Leopold Matamba Messi, Mathematical Biosciences Institute
- Jorge Manuel Mendez, University of Utah Department of Neurology
- Pak-Wing Fok, University of Delaware Department of Mathematical Sciences
- José Otero, The Ohio State Univeristy Department of Pathology
- Avner Friedman, The Ohio State University Department of Mathematics
- Patrick Gygli, The Ohio State University Department of Pathology
I am grateful for support from the following institutions and agencies: