Gheorghe Craciun

Position title: Professor (also Mathematics)


Phone: (608) 265-3391

Gheorghe Craciun

• B.S. 1994, University of Bucharest, Romania
• Ph.D. 2002, Ohio State University (Martin Feinberg)
• Postdoctoral 2002-05, Ohio State University (Avner Friedman)

Honors & Awards

• Sigma Xi Certificate of Distinction for Outstanding Research Scholarship, 2001
• NSF Mathematical Biosciences Institute Postdoctoral Fellowship, 2002
• 1st prize, Biocomplexity VII Conference, 2005
• Vilas Associates Award, 2013

Research Interests

Normal cell function is based in large part on the operation of modules consisting of complex networks of biochemical reactions. I am interested in mathematical and computational methods for understanding dynamical properties of biochemical networks, such as gene regulatory networks, signaling pathways, and metabolic networks. For example, I am working on designing algorithms that allow us to relate the topological structure of a biochemical network and its dynamical properties, such as its capacity to exhibit bistability and oscillations, or its sensitivity to noise and other stochastic properties.

In particular, I am considering mathematical and computational models of: cell division and apoptosis, intracellular transport using motor proteins, electrical signals that allow for intercellular communication, and the action of regulatory molecules that are present at very low levels per cell. I am also working on designing algorithms for de novo sequencing of peptides using mass spectrometry data.

Publications of Note

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• Johnston MD, Anderson DF, Craciun G, Brijder R (2018) Conditions for extinction events in chemical reaction networks with discrete state spaces. J Math Biol 76(6):1535-1558

• Hoggard T, Liachko I, Burt C, Meikle T, Jiang K, Craciun G, Dunham MJ, Fox CA (2016) High Throughput Analyses of Budding Yeast ARSs Reveal New DNA Elements Capable of Conferring Centromere-Independent Plasmid Propagation. G3 (Bethesda) 6(4):993-1012 (PMC4825667)

• Anderson DF, Craciun G, Gopalkrishnan M, Wiuf C (2015) Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks. Bull. Math. Biol. 77(9):1744-67

• Paulevé L, Craciun G, Koeppl H (2014) Dynamical properties of Discrete Reaction Networks. J Math Biol 69(1):55-72 (PMC3835780)

• Sundling K, Craciun G, Schultz I, Hook S, Nagler J, Cavileer T, Verducci J, Liu Y, Kim J, Hayton W (2014) Modeling the endocrine control of vitellogenin production in female rainbow trout. Math Biosci Eng 11(3):621-39

• Casian Pantea, Ankur Gupta, James B. Rawlings, Gheorghe Craciun (2013) The QSSA in Chemical Kinetics: As Taught and as Practiced. Discrete and Topological Models in Molecular Biology Natural Computing Series 2014 :419-442 10.1007/978-3-642-40193-0_20

• Mincheva M, Craciun G (2013) Graph-theoretic conditions for zero-eigenvalue Turing instability in general chemical reaction networks. Math Biosci Eng 10(4):1207-26

Gheorghe Craciun, Fedor Nazarov, and Casian Pantea (2013) Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems. SIAM J. Appl. Math. 73(1):305-329 10.1137/100812355

Craciun G, Kim J, Pantea C, Rempala GA (2013) Statistical Model for Biochemical Network Inference. Commun Stat Simul Comput 42(1):121-137 (PMC3484689)

Gheorghe Craciun (2013) Most homeomorphisms with a fixed point have a Cantor set of fixed points Archiv der Mathematik 100(1):95-99 10.1007/s00013-012-0466-z

• Shane L. Hubler, Gheorghe Craciun (2012) Counting chemical compositions using Ehrhart quasi-polynomials. Journal of Mathematical Chemistry 50(9):2446-2470 10.1007/s10910-012-0042-6

• Hubler SL and Craciun G. (2012) Periodic patterns in distributions of peptide masses. Biosystems 109(2):179-185

• Casian Pantea, Heinz Koeppl, Gheorghe Craciun (2012) Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks. Discrete and Continuous Dynamical Systems – Series B 17(6):2153-2170 10.3934/dcdsb.2012.17.2153

• Shane L. Hubler, Gheorghe Craciun (2012) Mass distributions of linear chain polymers. Journal of Mathematical Chemistry 50(6):pp 1458-1483 10.1007/s10910-012-9983-z

Gheorghe Craciun, Casian Pantea, Eduardo D. Sontag (2011) Graph-Theoretic Analysis of Multistability and Monotonicity for Biochemical Reaction Networks. Design and Analysis of Biomolecular Circuits :63-72 10.1007/978-1-4419-6766-4_3

• David F. Anderson, Gheorghe Craciun, Thomas G. Kurtz (2010) Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks. Bulletin of Mathematical Biology 72(8):1947-1970 10.1007/s11538-010-9517-4

• Banaji M and Craciun G (2010) Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Advances in Applied Mathematics 44(2):168-184 PMC2808144

Gheorghe Craciun and Martin Feinberg (2010) Multiple Equilibria in Complex Chemical Reaction Networks: Semiopen Mass Action Systems. SIAM J. Appl. Math. 70(6):1859-1877 10.1137/090756387

Gheorghe Craciun, Luis David García-Puente, Frank Sottile (2010) Some Geometrical Aspects of Control Points for Toric Patches. Lecture Notes in Computer Science 5862:111-135 10.1007/978-3-642-11620-9_9

Gheorghe Craciun, Alicia Dickenstein, Anne Shiu, Bernd Sturmfels (2009) Toric dynamical systems. Journal of Symbolic Computation 44(11):1551-1565 10.1016/j.jsc.2008.08.006

Gheorghe Craciun, Casian Pantea, Grzegorz A. Rempala (2009) Algebraic methods for inferring biochemical networks: A maximum likelihood approach. Computational Biology and Chemistry 33(5):361-367 10.1016/j.compbiolchem.2009.07.014

• Y. Liu, J. Verducci, I. Schultz, S. Hook, J. Nagler, G. Craciun, K. Sundling and W. Hayton (2009) Time course analysis of microarray data for the pathway of reproductive development in female rainbow trout. Statistical Analysis and Data Mining 2(3):192-208 10.1002/sam.10047

• Murad Banaji and Gheorghe Craciun (2009) Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Commun. Math. Sci. 7(4):867-900