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## Craciun, Gheorghe

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 Author ID: craciun.gheorghe Published as: Craciun, G.; Craciun, Gheorghe; Crăciun, Gheorghe; Crǎciun, G.; Crǎciun, Gheorghe
 Documents Indexed: 42 Publications since 1992
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#### Co-Authors

 4 single-authored 7 Pantea, Casian Alexandru 4 Anderson, David Frederick 4 Feinberg, Martin 4 Friedman, Avner 3 Yu, Polly Y. 2 Banaji, Murad 2 Brunner, James D. 2 Hayton, William 2 Hook, Sharon 2 Hubler, Shane L. 2 Johnston, Matthew D. 2 Koeppl, Heinz 2 Liu, Yushi 2 Mincheva, Maya 2 Nagler, James 2 Rempała, Grzegorz A. 2 Schultz, Irvin 2 Sundling, Kaitlin 2 Verducci, Joseph Stephen 2 Zamfirescu, Tudor I. 1 Aguda, Baltazar D. 1 Bell, Jonathan 1 Boldyrev, Stanislav 1 Boros, Balázs 1 Brijder, Robert 1 Brown, Anthony K. 1 Cavileer, Tim 1 Deshpande, Abhishek 1 Dickenstein, Alicia M. 1 García Puente, Luis David 1 Gopalkrishnan, Manoj 1 Gupta, Ankur 1 Helton, John William 1 Horja, Paul 1 Jin, Jiaxin 1 Kim, Jaejik 1 Kim, Jonghan 1 Kurtz, Thomas Gordon 1 Nazarov, Fedor L. 1 Paulevé, Loïc 1 Prunescu, Mihai 1 Rawlings, James B. 1 Shiu, Anne 1 Smith, Leslie M. 1 Sottile, Frank 1 Sturmfels, Bernd 1 Tang, Yangzhong 1 Tran, Minh-Binh 1 Williams, Ruth J. 1 Wiuf, Carsten
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#### Serials

 7 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Chemistry 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Archiv der Mathematik 3 Mathematical Biosciences and Engineering 2 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Studii şi Cercetări Matematice 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Communications in Statistics. Simulation and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 Computational Biology and Chemistry 1 Statistical Analysis and Data Mining 1 Journal of Theoretical Biology 1 SIAM Journal on Applied Algebra and Geometry
all top 5

#### Fields

 31 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

30 Publications have been cited 566 times in 292 Documents Cited by Year
Multiple equilibria in complex chemical reaction networks. I: The injectivity property. Zbl 1094.80005
Craciun, Gheorghe; Feinberg, Martin
2005
Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph. Zbl 1136.80306
Craciun, Gheorghe; Feinberg, Martin
2006
Toric dynamical systems. Zbl 1188.37082
Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd
2009
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
2010
Understanding bistability in complex enzyme-driven reaction networks. Zbl 1254.93116
Craciun, Gheorghe; Tang, Yangzhong; Feinberg, Martin
2006
Identifiability of chemical reaction networks. Zbl 1145.92040
Craciun, Gheorghe; Pantea, Casian
2008
Persistence and permanence of mass-action and power-law dynamical systems. Zbl 1277.37106
Craciun, Gheorghe; Nazarov, Fedor; Pantea, Casian
2013
Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Zbl 1228.05204
2010
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
2009
Multiple equilibria in complex chemical reaction networks: semiopen mass action systems. Zbl 1255.80020
Craciun, Gheorghe; Feinberg, Martin
2010
Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks. Zbl 1339.92102
Anderson, David F.; Craciun, Gheorghe; Gopalkrishnan, Manoj; Wiuf, Carsten
2015
Homotopy methods for counting reaction network equilibria. Zbl 1153.92015
Craciun, Gheorghe; Helton, J. William; Williams, Ruth J.
2008
A model of intracellular transport of particles in an axon. Zbl 1068.92016
Friedman, Avner; Craciun, Gheorghe
2005
Dynamical properties of discrete reaction networks. Zbl 1316.92036
Paulevé, Loïc; Craciun, Gheorghe; Koeppl, Heinz
2014
Some geometrical aspects of control points for toric patches. Zbl 1274.65033
Craciun, Gheorghe; García-Puente, Luis David; Sottile, Frank
2010
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330
Friedman, Avner; Craciun, Gheorghe
2006
Robust persistence and permanence of polynomial and power law dynamical systems. Zbl 1385.37031
Brunner, James D.; Craciun, Gheorghe
2018
The QSSA in chemical kinetics: as taught and as practiced. Zbl 1290.92013
Pantea, Casian; Gupta, Ankur; Rawlings, James B.; Craciun, Gheorghe
2014
A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009
Bell, Jonathan; Craciun, Gheorghe
2005
Conditions for extinction events in chemical reaction networks with discrete state spaces. Zbl 1392.92032
Johnston, Matthew D.; Anderson, David F.; Craciun, Gheorghe; Brijder, Robert
2018
Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks. Zbl 1253.80023
Pantea, Casian; Koeppl, Heinz; Craciun, Gheorghe
2012
Most homeomorphisms of the circle are semiperiodic. Zbl 0880.54030
Crǎciun, G.; Horja, P.; Prunescu, M.; Zamfirescu, T.
1995
An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. Zbl 1436.37097
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
2020
Polynomial dynamical systems, reaction networks, and toric differential inclusions. Zbl 1412.37035
Craciun, Gheorghe
2019
Statistical model for biochemical network inference. Zbl 1310.92021
Craciun, Gheorghe; Kim, Jaejik; Pantea, Casian; Rempala, Grzegorz A.
2013
Algebraic methods for inferring biochemical networks: a maximum likelihood approach. Zbl 1403.92090
Craciun, Gheorghe; Pantea, Casian; Rempala, Grzegorz A.
2009
Generic properties of the homeomorphisms of $$S^ d$$. Zbl 0871.54043
Crǎciun, Gheorghe
1994
A reaction network approach to the theory of acoustic wave turbulence. Zbl 1434.35040
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav
2020
Mass distributions of linear chain polymers. Zbl 1252.92022
Hubler, Shane L.; Craciun, Gheorghe
2012
Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023
Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner
2005
An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. Zbl 1436.37097
Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y.
2020
A reaction network approach to the theory of acoustic wave turbulence. Zbl 1434.35040
Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav
2020
Polynomial dynamical systems, reaction networks, and toric differential inclusions. Zbl 1412.37035
Craciun, Gheorghe
2019
Robust persistence and permanence of polynomial and power law dynamical systems. Zbl 1385.37031
Brunner, James D.; Craciun, Gheorghe
2018
Conditions for extinction events in chemical reaction networks with discrete state spaces. Zbl 1392.92032
Johnston, Matthew D.; Anderson, David F.; Craciun, Gheorghe; Brijder, Robert
2018
Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks. Zbl 1339.92102
Anderson, David F.; Craciun, Gheorghe; Gopalkrishnan, Manoj; Wiuf, Carsten
2015
Dynamical properties of discrete reaction networks. Zbl 1316.92036
Paulevé, Loïc; Craciun, Gheorghe; Koeppl, Heinz
2014
The QSSA in chemical kinetics: as taught and as practiced. Zbl 1290.92013
Pantea, Casian; Gupta, Ankur; Rawlings, James B.; Craciun, Gheorghe
2014
Persistence and permanence of mass-action and power-law dynamical systems. Zbl 1277.37106
Craciun, Gheorghe; Nazarov, Fedor; Pantea, Casian
2013
Statistical model for biochemical network inference. Zbl 1310.92021
Craciun, Gheorghe; Kim, Jaejik; Pantea, Casian; Rempala, Grzegorz A.
2013
Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks. Zbl 1253.80023
Pantea, Casian; Koeppl, Heinz; Craciun, Gheorghe
2012
Mass distributions of linear chain polymers. Zbl 1252.92022
Hubler, Shane L.; Craciun, Gheorghe
2012
Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069
Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G.
2010
Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Zbl 1228.05204
2010
Multiple equilibria in complex chemical reaction networks: semiopen mass action systems. Zbl 1255.80020
Craciun, Gheorghe; Feinberg, Martin
2010
Some geometrical aspects of control points for toric patches. Zbl 1274.65033
Craciun, Gheorghe; García-Puente, Luis David; Sottile, Frank
2010
Toric dynamical systems. Zbl 1188.37082
Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd
2009
Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038
2009
Algebraic methods for inferring biochemical networks: a maximum likelihood approach. Zbl 1403.92090
Craciun, Gheorghe; Pantea, Casian; Rempala, Grzegorz A.
2009
Identifiability of chemical reaction networks. Zbl 1145.92040
Craciun, Gheorghe; Pantea, Casian
2008
Homotopy methods for counting reaction network equilibria. Zbl 1153.92015
Craciun, Gheorghe; Helton, J. William; Williams, Ruth J.
2008
Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph. Zbl 1136.80306
Craciun, Gheorghe; Feinberg, Martin
2006
Understanding bistability in complex enzyme-driven reaction networks. Zbl 1254.93116
Craciun, Gheorghe; Tang, Yangzhong; Feinberg, Martin
2006
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330
Friedman, Avner; Craciun, Gheorghe
2006
Multiple equilibria in complex chemical reaction networks. I: The injectivity property. Zbl 1094.80005
Craciun, Gheorghe; Feinberg, Martin
2005
A model of intracellular transport of particles in an axon. Zbl 1068.92016
Friedman, Avner; Craciun, Gheorghe
2005
A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009
Bell, Jonathan; Craciun, Gheorghe
2005
Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023
Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner
2005
Most homeomorphisms of the circle are semiperiodic. Zbl 0880.54030
Crǎciun, G.; Horja, P.; Prunescu, M.; Zamfirescu, T.
1995
Generic properties of the homeomorphisms of $$S^ d$$. Zbl 0871.54043
Crǎciun, Gheorghe
1994
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#### Cited by 440 Authors

 23 Craciun, Gheorghe 15 Anderson, David Frederick 13 Johnston, Matthew D. 12 Feliu, Elisenda 12 Wiuf, Carsten 11 Szederkényi, Gábor 10 Cappelletti, Daniele 10 Shiu, Anne 9 Banaji, Murad 9 Dickenstein, Alicia M. 9 Pantea, Casian Alexandru 7 Hangos, Katalin Mária 6 Boros, Balázs 6 Bressloff, Paul C. 6 Conradi, Carsten 6 Millán, Mercedes Pérez 5 Joshi, Badal 5 Mincheva, Maya 5 Müller, Stefan 5 Sontag, Eduardo D. 5 Zhu, Chungang 4 Angeli, David 4 Blanchini, Franco 4 Feinberg, Martin 4 Fellner, Klemens 4 Giordano, Giulia 4 Gopalkrishnan, Manoj 4 Kim, Jinsu 4 Sottile, Frank 4 Sturmfels, Bernd 4 Tang, Bao Quoc 3 Avdonin, Sergeĭ Anatol’evich 3 Bell, Jonathan 3 Cotter, Simon L. 3 Domijan, Mirela 3 Ferragut, Antoni 3 Gnacadja, Gilles Ph. 3 Gross, Elizabeth 3 Gunawardena, Jeremy 3 Kurtz, Thomas Gordon 3 Mendoza, Eduardo R. 3 Othmer, Hans G. 3 Regensburger, Georg 3 Rempała, Grzegorz A. 3 Shinar, Guy 3 Siegel, David 3 Valls Anglés, Cláudia 3 van der Schaft, Arjan J. 3 Yu, Polly Y. 2 Adamer, Michael F. 2 Agazzi, Andrea 2 Alonso, Antonio A. 2 Arceo, Carlene Perpetua P. 2 Baez, John C. 2 Banga, Julio R. 2 Bielecki, Andrzej 2 Bigan, Erwan 2 Bihan, Frédéric 2 Brijder, Robert 2 Brunner, James D. 2 Cantó, Begoña 2 Coll, Carmen 2 Csercsik, Dávid 2 De Leenheer, Patrick 2 Dembo, Amir 2 Deshpande, Abhishek 2 Douady, Stéphane 2 Eckmann, Jean-Pierre 2 Erban, Radek 2 Errami, Hassan 2 Fang, Zhou 2 Franco, Elisa 2 Gábor, Attila 2 Gao, Chuanhou 2 Giaroli, Magalí 2 Grigor’ev, Dmitriĭ Yur’evich 2 Harrington, Heather A. 2 Helmer, Martin 2 Helton, John William 2 Hingant, Erwan 2 Hofbauer, Josef 2 Hwang, Hyung Ju 2 Jayawardhana, Bayu 2 Jose, Editha C. 2 Kahle, Thomas 2 Kalita, Piotr 2 Kang, Hye-Won 2 Kirkilionis, Markus A. 2 Knudsen, Michael 2 Komatsu, Hirokazu 2 Lötstedt, Per 2 Nakajima, Hiroyuki 2 Newby, Jay M. 2 Nikoloski, Zoran 2 Paulevé, Loïc 2 Pécou, Elisabeth 2 Plesa, Tomislav 2 Radde, Nicole E. 2 Radulescu, Ovidiu 2 Rao, Shodhan ...and 340 more Authors
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#### Cited in 98 Serials

 36 Bulletin of Mathematical Biology 30 Journal of Mathematical Chemistry 24 Journal of Mathematical Biology 18 Mathematical Biosciences 16 Journal of Theoretical Biology 12 SIAM Journal on Applied Mathematics 9 SIAM Journal on Applied Dynamical Systems 6 Advances in Applied Mathematics 5 Linear Algebra and its Applications 4 Journal of Statistical Physics 4 Automatica 4 Journal of Differential Equations 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Computation 3 Journal of Symbolic Computation 3 Journal of Physics A: Mathematical and Theoretical 2 Chaos, Solitons and Fractals 2 Archiv der Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Theoretical Computer Science 2 Systems & Control Letters 2 Computer Aided Geometric Design 2 Discrete & Computational Geometry 2 The Annals of Applied Probability 2 SIAM Journal on Mathematical Analysis 2 International Journal of Robust and Nonlinear Control 2 Complexity 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 SIAM Journal on Applied Algebra and Geometry 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Discrete Mathematics 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 International Journal of Systems Science 1 Inverse Problems 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Applied Mathematics and Optimization 1 Journal of Algebra 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Communications in Statistics. Simulation and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Stochastic Processes and their Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Computational Neuroscience 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 New Journal of Physics 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Natural Computing 1 Journal of Applied Mathematics and Computing 1 Journal of Algebra and its Applications 1 Computational Biology and Chemistry 1 Journal of Hyperbolic Differential Equations 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics in Computer Science 1 Inverse Problems and Imaging 1 The Annals of Applied Statistics 1 Kinetic and Related Models 1 Advances in Mathematical Physics 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Asian Journal of Control 1 The Journal of Mathematical Neuroscience 1 S$$\vec{\text{e}}$$MA Journal 1 SIAM/ASA Journal on Uncertainty Quantification 1 Open Mathematics
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#### Cited in 35 Fields

 228 Biology and other natural sciences (92-XX) 56 Dynamical systems and ergodic theory (37-XX) 50 Ordinary differential equations (34-XX) 45 Probability theory and stochastic processes (60-XX) 33 Classical thermodynamics, heat transfer (80-XX) 28 Combinatorics (05-XX) 26 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 24 Systems theory; control (93-XX) 20 Computer science (68-XX) 16 Operations research, mathematical programming (90-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 10 Statistics (62-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Commutative algebra (13-XX) 8 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 3 Field theory and polynomials (12-XX) 2 Mechanics of deformable solids (74-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)