- Graph-theoretic
approaches to injectivity and multiple equilibria in systems of
interacting elements,
(with Murad Banaji), submitted 2009. PDF
- Product-form
stationary distributions for deficiency zero chemical reaction networks, (with David
F. Anderson and Thomas G. Kurtz), submitted
2009. PDF
- Graph
theoretic approaches to injectivity in general chemical reaction systems,
(with Murad Banaji), submitted 2008. PDF
- Some Geometric
Aspects of Control Points for Toric Patches,
(with Luis David Garcia-Puente, Frank Sottile), submitted 2008. PDF
- Homotopy
methods for counting reaction network equilibria, (with J.
William Helton, Ruth J. Williams), to appear in Mathematical Biosciences. PDF
- Toric
Dynamical Systems, (with Alicia Dickenstein, Anne Shiu, Bernd
Sturmfels), to appear in Journal of Symbolic Computation. PDF
- A
lifespan-extending form of autophagy employs the vacuole-vacuole fusion
machinery, (with Fusheng Tang, Joseph Watkins, Maria Bermudez,
Russell Gray, Adam Gaban, Ken Portie, Stephen Grace, Maurice Kleve), Autophagy 4:7, 874-886, 2008. PDF
- Multigraph
conditions for multistability, oscillations and pattern formation in
biochemical reaction networks, (with Maya Mincheva), Proceedings
of IEEE 96:8, 1281-1291, 2008. PDF
- A
Combinatorial H4 Tail Library for Exploring the Histone Code,
(with Adam L. Garske, John M. Denu), Biochemistry 47:31, 8094-8102, 2008.
PDF
- Valence
Parity Renders z-type ions Chemically Distinct, (with Shane
Hubler, April Jue, Jason Keith, Graeme McAlister, Joshua Coon), Journal of the American Chemical Society
130:20, 6388-6394, 2008. PDF
- Identifiability
of chemical reaction networks, (with Casian Pantea), Journal of Mathematical Chemistry
44:1, 244-259, 2008. PDF
- Understanding
Bistability in Complex Enzyme-Driven Reaction Networks, (with
Martin Feinberg and Yangzhong Tang), Proceedings
of the National Academy of Sciences 103:23, 8697-8702, 2006. (
)
- Approximate
Traveling Waves in Linear Reaction-Hyperbolic Equations,
(with Avner
Friedman), SIAM Journal
on Mathematical Analysis 38:3, 741-758, 2006. ()
- Multiple
Equilibria in Complex Chemical Reaction Networks:
Extensions to Entrapped Species Models,
(with Martin Feinberg), IEE
Proceedings Systems Biology
153:4, 179-186, 2006.()
- Multiple Equilibria
in Complex Chemical Reaction Networks: II. The Species-Reactions Graph,
(with Martin Feinberg), SIAM
Journal on Applied Mathematics
66:4, 1321-1338, 2006.()
- Multiple
Equilibria in Complex Chemical Reaction Networks: I. The
Injectivity Property,
(with Martin Feinberg), SIAM Journal
on Applied Mathematics 65:5, 1526-1546, 2005. ()
- A
Model of Intracellular Transport of Particles in an Axon,
(with Avner Friedman), Journal of Mathematical Biology, 51:2,
217-246, 2005. ()
- A
Distributed Parameter Identification Problem in Neuronal
Cable Theory Models, (with Jonathan Bell), Mathematical
Biosciences 194:1, 1-19, 2005. ()
- Data
Sources and Computational Approaches for Generating
Models of Gene Regulatory Networks, (with Baltazar Aguda and
Rengul
Cetin-Atalay), Reviews in Computational Chemistry, Vol. 21, edited by Kenny Lipkowitz,
Raima Larter, and Thomas R. Cundari, 2005. (
)
- Spatial
Domain Wavelet Design for Feature Preservation in
Computational Datasets, (with Ming Jiang, David Thompson, and
Raghu
Machiraju), accepted by IEEE Transactions on Visualization and
Computer Graphics 11:2, 149-159, 2005. ()
- Controlling
Release from the Lipidic Cubic Phase by
Selective Alkylation, (with Jeffrey Clogston, David Hart, and
Martin
Caffrey), Journal of Controlled Release, 102:2, 441-461, 2005.()
- Everybody
Else Is: Networks, Power Laws and Peer Contagion
in the Aggressive Recess Behavior, (with Keith Warren and Dawn
Anderson-Butcher), Nonlinear Dynamics, Psychology, and
Life Sciences, 9:2, 155-173, 2005.
- Mathematical
Analysis of a Modular Network Coordinating the
Cell Cycle and Apoptosis, (with Baltazar Aguda and Avner
Friedman), Mathematical Biosciences
and Engineering, 2:3, 473-485, 2005.
()
- A
dynamical system model of neurofilament transport in axons,
(with Anthony Brown and Avner Friedman), Journal
of Theoretical Biology 237(3) 316-322, 2005.()
- Mathematical
Models of the Cell Cycle and Apoptosis, (with
David Goulet, Namyong Lee, Taras Odushkin, Galen Cook Wiens), MBI
Technical Report, 2004.
- Orientation
Preserving Homeomorphisms of the Sphere Have a
Cantor Set of Fixed Points, submitted, 2006.
- Image
Segmentation using Neuronal Oscillators, (with Talia
Konkle, Ning Jiang, Jie Zhang, Fatma Gurel, Christopher Scheper), MBI
Technical Report, 2003.
- Physics-based
feature mining for large data exploration, (with
D.S. Thompson, R.K. Machiraju, M. Jiang,
J.S. Nair, S.S.D. Venkata),
Computing in Science and Engineering 4:4, 22-30,
2002.()
- The
Output of Chemical Reactors Is Almost Always Unique. Why
?, Proceedings of the 14th Annual Edward F. Hayes Research
Forum, p.
184-189, 2001.
- A
Framework for Filter Design Emphasizing Multiscale Feature
Preservation, (with David Thompson, Raghu Machiraju and Ming
Jiang),
Proceedings of the AHPCRC and CASC/LLNL Third Workshop on Mining
Scientific Datasets , p. 105-111, 2001.
- The
Dimension Print of Most Convex Surfaces, (with Tudor
Zamfirescu), Monatshefte fur Mathematik 123:3, 203-207,
1997. ()
- Most
Homeomorphisms of the Circle are Semiperiodic, (with
Paul Horja, Mihai Prunescu, Tudor Zamfirescu), Archiv der
Mathematik 64:5, 452-458, 1995.
- Generic
Properties of the Homeomorphisms of Spheres,
Archiv der Mathematik 62:4, 349-353, 1994.
- On a
Covering Theorem, Mathematical Reports 44:2,
109-112, 1992.
