Gheorghe Craciun
Associate Professor
Department of Mathematics and
Department of Biomolecular Chemistry
University of Wisconsin-Madison
Contact Information:
405 Van Vleck Hall
480 Lincoln Dr
Madison, WI 53706-1388
Phone: (608) 265-3391
Fax: (608) 263-8891
E-mail: craciun at math dot wisc dot edu
Teaching
Research Interests: Mathematical and Computational
Methods in Biology and Medicine
Publications
- Graph-theoretic
approaches to injectivity and multiple equilibria in systems of
interacting elements, (with
Murad Banaji), Communications in Mathematical Sciences 7:4, 867–900, 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. (
)
- 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. PDF
- 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.