Edit Profile Craciun, Gheorghe Compute Distance To: Compute Author ID: craciun.gheorghe Published as: Craciun, G.; Craciun, Gheorghe; Crăciun, Gheorghe; Crǎciun, G.; Crǎciun, Gheorghe Documents Indexed: 42 Publications since 1992 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1094.80005Craciun, Gheorghe; Feinberg, Martin 87 2005 Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph. Zbl 1136.80306Craciun, Gheorghe; Feinberg, Martin 74 2006 Toric dynamical systems. Zbl 1188.37082Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd 65 2009 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 51 2010 Understanding bistability in complex enzyme-driven reaction networks. Zbl 1254.93116Craciun, Gheorghe; Tang, Yangzhong; Feinberg, Martin 45 2006 Identifiability of chemical reaction networks. Zbl 1145.92040Craciun, Gheorghe; Pantea, Casian 30 2008 Persistence and permanence of mass-action and power-law dynamical systems. Zbl 1277.37106Craciun, Gheorghe; Nazarov, Fedor; Pantea, Casian 29 2013 Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Zbl 1228.05204Banaji, Murad; Craciun, Gheorghe 24 2010 Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038Banaji, Murad; Craciun, Gheorghe 21 2009 Multiple equilibria in complex chemical reaction networks: semiopen mass action systems. Zbl 1255.80020Craciun, Gheorghe; Feinberg, Martin 18 2010 Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks. Zbl 1339.92102Anderson, David F.; Craciun, Gheorghe; Gopalkrishnan, Manoj; Wiuf, Carsten 14 2015 Homotopy methods for counting reaction network equilibria. Zbl 1153.92015Craciun, Gheorghe; Helton, J. William; Williams, Ruth J. 14 2008 A model of intracellular transport of particles in an axon. Zbl 1068.92016Friedman, Avner; Craciun, Gheorghe 14 2005 Dynamical properties of discrete reaction networks. Zbl 1316.92036Paulevé, Loïc; Craciun, Gheorghe; Koeppl, Heinz 13 2014 Some geometrical aspects of control points for toric patches. Zbl 1274.65033Craciun, Gheorghe; García-Puente, Luis David; Sottile, Frank 13 2010 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330Friedman, Avner; Craciun, Gheorghe 12 2006 Robust persistence and permanence of polynomial and power law dynamical systems. Zbl 1385.37031Brunner, James D.; Craciun, Gheorghe 7 2018 The QSSA in chemical kinetics: as taught and as practiced. Zbl 1290.92013Pantea, Casian; Gupta, Ankur; Rawlings, James B.; Craciun, Gheorghe 6 2014 A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009Bell, Jonathan; Craciun, Gheorghe 5 2005 Conditions for extinction events in chemical reaction networks with discrete state spaces. Zbl 1392.92032Johnston, Matthew D.; Anderson, David F.; Craciun, Gheorghe; Brijder, Robert 4 2018 Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks. Zbl 1253.80023Pantea, Casian; Koeppl, Heinz; Craciun, Gheorghe 4 2012 Most homeomorphisms of the circle are semiperiodic. Zbl 0880.54030Crǎciun, G.; Horja, P.; Prunescu, M.; Zamfirescu, T. 3 1995 An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. Zbl 1436.37097Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. 2 2020 Polynomial dynamical systems, reaction networks, and toric differential inclusions. Zbl 1412.37035Craciun, Gheorghe 2 2019 Statistical model for biochemical network inference. Zbl 1310.92021Craciun, Gheorghe; Kim, Jaejik; Pantea, Casian; Rempala, Grzegorz A. 2 2013 Algebraic methods for inferring biochemical networks: a maximum likelihood approach. Zbl 1403.92090Craciun, Gheorghe; Pantea, Casian; Rempala, Grzegorz A. 2 2009 Generic properties of the homeomorphisms of \(S^ d\). Zbl 0871.54043Crǎciun, Gheorghe 2 1994 A reaction network approach to the theory of acoustic wave turbulence. Zbl 1434.35040Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav 1 2020 Mass distributions of linear chain polymers. Zbl 1252.92022Hubler, Shane L.; Craciun, Gheorghe 1 2012 Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner 1 2005 An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems. Zbl 1436.37097Craciun, Gheorghe; Jin, Jiaxin; Yu, Polly Y. 2 2020 A reaction network approach to the theory of acoustic wave turbulence. Zbl 1434.35040Tran, Minh-Binh; Craciun, Gheorghe; Smith, Leslie M.; Boldyrev, Stanislav 1 2020 Polynomial dynamical systems, reaction networks, and toric differential inclusions. Zbl 1412.37035Craciun, Gheorghe 2 2019 Robust persistence and permanence of polynomial and power law dynamical systems. Zbl 1385.37031Brunner, James D.; Craciun, Gheorghe 7 2018 Conditions for extinction events in chemical reaction networks with discrete state spaces. Zbl 1392.92032Johnston, Matthew D.; Anderson, David F.; Craciun, Gheorghe; Brijder, Robert 4 2018 Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks. Zbl 1339.92102Anderson, David F.; Craciun, Gheorghe; Gopalkrishnan, Manoj; Wiuf, Carsten 14 2015 Dynamical properties of discrete reaction networks. Zbl 1316.92036Paulevé, Loïc; Craciun, Gheorghe; Koeppl, Heinz 13 2014 The QSSA in chemical kinetics: as taught and as practiced. Zbl 1290.92013Pantea, Casian; Gupta, Ankur; Rawlings, James B.; Craciun, Gheorghe 6 2014 Persistence and permanence of mass-action and power-law dynamical systems. Zbl 1277.37106Craciun, Gheorghe; Nazarov, Fedor; Pantea, Casian 29 2013 Statistical model for biochemical network inference. Zbl 1310.92021Craciun, Gheorghe; Kim, Jaejik; Pantea, Casian; Rempala, Grzegorz A. 2 2013 Global injectivity and multiple equilibria in uni- and bi-molecular reaction networks. Zbl 1253.80023Pantea, Casian; Koeppl, Heinz; Craciun, Gheorghe 4 2012 Mass distributions of linear chain polymers. Zbl 1252.92022Hubler, Shane L.; Craciun, Gheorghe 1 2012 Product-form stationary distributions for deficiency zero chemical reaction networks. Zbl 1201.92069Anderson, David F.; Craciun, Gheorghe; Kurtz, Thomas G. 51 2010 Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems. Zbl 1228.05204Banaji, Murad; Craciun, Gheorghe 24 2010 Multiple equilibria in complex chemical reaction networks: semiopen mass action systems. Zbl 1255.80020Craciun, Gheorghe; Feinberg, Martin 18 2010 Some geometrical aspects of control points for toric patches. Zbl 1274.65033Craciun, Gheorghe; García-Puente, Luis David; Sottile, Frank 13 2010 Toric dynamical systems. Zbl 1188.37082Craciun, Gheorghe; Dickenstein, Alicia; Shiu, Anne; Sturmfels, Bernd 65 2009 Graph-theoretic approaches to injectivity and multiple equilibria in systems of interacting elements. Zbl 1195.05038Banaji, Murad; Craciun, Gheorghe 21 2009 Algebraic methods for inferring biochemical networks: a maximum likelihood approach. Zbl 1403.92090Craciun, Gheorghe; Pantea, Casian; Rempala, Grzegorz A. 2 2009 Identifiability of chemical reaction networks. Zbl 1145.92040Craciun, Gheorghe; Pantea, Casian 30 2008 Homotopy methods for counting reaction network equilibria. Zbl 1153.92015Craciun, Gheorghe; Helton, J. William; Williams, Ruth J. 14 2008 Multiple equilibria in complex chemical reaction networks: II. The species-reaction graph. Zbl 1136.80306Craciun, Gheorghe; Feinberg, Martin 74 2006 Understanding bistability in complex enzyme-driven reaction networks. Zbl 1254.93116Craciun, Gheorghe; Tang, Yangzhong; Feinberg, Martin 45 2006 Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330Friedman, Avner; Craciun, Gheorghe 12 2006 Multiple equilibria in complex chemical reaction networks. I: The injectivity property. Zbl 1094.80005Craciun, Gheorghe; Feinberg, Martin 87 2005 A model of intracellular transport of particles in an axon. Zbl 1068.92016Friedman, Avner; Craciun, Gheorghe 14 2005 A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009Bell, Jonathan; Craciun, Gheorghe 5 2005 Mathematical analysis of a modular network coordinating the cell cycle and apoptosis. Zbl 1079.92023Craciun, Gheorghe; Aguda, Baltazar; Friedman, Avner 1 2005 Most homeomorphisms of the circle are semiperiodic. Zbl 0880.54030Crǎciun, G.; Horja, P.; Prunescu, M.; Zamfirescu, T. 3 1995 Generic properties of the homeomorphisms of \(S^ d\). Zbl 0871.54043Crǎciun, Gheorghe 2 1994 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year