Tim Reluga
I am an assistant professor of
mathematics
at
Penn State.
My research interests concern the description, understand,
and prediction of the dynamics of biological systems. This
currently includes work in ecology, epidemiology,
immunology, evolution, medicine, human behavior, and economics.
I always have more projects and ideas going than I have time
for, so I welcome emails from all students looking for
interesting research projects.
Curriculum Vitae.
-
Analysis of hepatitis C virus infection models with hepatocyte homeostasis.
By Timothy Reluga, Harel Dahari, and Alan S. Perelson.
- Submitted to SIAM Journal of Applied Mathematics, December,
2007.
Preprint PDF.
-
Backward bifurcations and multiple equilibria in epidemic models with
structured immunity. By T. Reluga, J. Medlock, and A. Perelson.
- Journal of Theoretical Biology, 252 (1):
155-165, 2008.
DOI
Link,
Preprint PDF.
-
Optimal timing of disease transmission in an age-structured population. By
T. Reluga, J. Medlock, E. Poolman, and A. Galvani.
- Bulletin of Mathematical Biology, 69 (8):
2711-2722, 2007.
DOI
Link,
Preprint PDF.
-
Reservoir interactions and disease emergence. By T. Reluga, D. B. Walton,
R. Meza, and A. Galvani.
- Theoretical Population Biology, 72 (3):
400-408, 2007.
DOI
Link,
Preprint PDF.
-
Long-standing influenza vaccination policy is in accord with individual
self-interest but not with the utilitarian optimum. By A. Galvani,
T. Reluga, and G. Chapman.
- Proceedings of the National Academy of Sciences, 104
(13): 5692-5697, March 27 2007.
DOI
Link, Preprint
PDF.
-
Resistance mechanisms matter in SIRS models. By T. Reluga and J. Medlock.
- Mathematical Biosciences and Engineering, 4
(3): 553-563, July 2007.
Link.
Preprint PDF.
-
Evolving public perceptions and stability in vaccine uptake. By T. Reluga,
C. Bauch, and A. Galvani.
- Mathematical Biosciences, 204: 185-198, 2006.
DOI
Link,
Preprint PDF.
-
A model of spatial epidemic spread when individuals move within overlapping
home ranges. By T. Reluga, J. Medlock, and A. Galvani.
- Bulletin of Mathematical Biology, 68 (2):
401-416, February 2006.
C++/Linux Code.
DOI
Link,
Preprint PDF.
-
On antibiotic cycling and optimal heterogeneity. By T. Reluga.
- Mathematical Medicine and Biology, June 2005.
Abstract.
DOI
Link, Preprint
PDF.
-
Nonequilibrium thermodynamics of a nonlinear biochemical switch in a cellular
signaling process. By H. Qian and T. Reluga.
- Physical Review Letters, 028101, January 2005.
DOI
Link,
Preprint PDF.
-
Simulated evolution of selfish herd behavior. By T. Reluga and S. Viscido.
- Journal of Theoretical Biololgy, 234 (2):
213-225, 2005.
C++/Linux Code.
DOI
Link,
Preprint PDF.
-
Stochasticity, invasions, and branching random walks. By M. Kot, J. Medlock,
T. Reluga, and D. B. Walton.
- Theoretical Population Biology, 66 (3):
175-184, 2004.
DOI
Link,
Preprint PDF.
-
A two-phase epidemic driven by diffusion. By T. Reluga.
- Journal of Theoretical Biology, 229 (2):
249-261, July 21 2004.
DOI
Link,
Preprint PDF.
-
Analysis of periodic growth-disturbance models. By T. Reluga.
- Theoretical Population Biology, 66 (2):
151-161, September 2004.
DOI
Link,
Preprint PDF.
- Good and not-so-good
Science fiction literature.
- Here
is a good calculus problem from mathematical biology for
undergraduates. It is about the optimal evolutionary shape of
some seashells without spiraling (spiraling makes things MUCH harder).
- My favorite
multi-dimensional integration formula.
- A gzipped tar archive example
of the use of latex, foiltex, texpower, and pdfelatex for making
presentations.
- An antique web
paper
I wrote ages
ago(1995) on some mathematics done by the ancient Greeks.
(It's incomplete, since I ran out of time before I got around to the
cube-doubling problem.)
808017424794512875886459904961710757005754368000000000
2008-09-06