| Mathematical models of chemical reactions: Theory and applications of deterministic and stochastic models P Érdi, J Tóth Manchester University Press, Princeton Univ. Press, 1989 | 794 | 1989 |
| On the inverse problem of reaction kinetics V Hárs, J Tóth Qualitative theory of differential equations 30, 363-379, 1981 | 160 | 1981 |
| The effect of lumping and expanding on kinetic differential equations J Tóth, G Li, H Rabitz, AS Tomlin SIAM Journal on Applied Mathematics 57 (6), 1531-1556, 1997 | 118 | 1997 |
| A general analysis of exact nonlinear lumping in chemical kinetics G Li, H Rabitz, J Tóth Chemical Engineering Science 49 (3), 343-361, 1994 | 96 | 1994 |
| A full stochastic description of the Michaelis-Menten reaction for small systems. P Arányi, J Tóth Acta biochimica et biophysica; Academiae Scientiarum Hungaricae 12 (4), 375-388, 1977 | 66 | 1977 |
| A general analysis of approximate nonlinear lumping in chemical kinetics. I. Unconstrained lumping G Li, AS Tomlin, H Rabitz, J Tóth The Journal of chemical physics 101 (2), 1172-1187, 1994 | 64 | 1994 |
| Stochastic aspects of asymmetric autocatalysis and absolute asymmetric synthesis B Barabás, J Tóth, G Pályi Journal of mathematical chemistry 48, 457-489, 2010 | 62 | 2010 |
| Reaction Kinetics: Exercises, Programs and Theorems. Mathematica for Deterministic and Stochastic Kinetics J Tóth, AL Nagy, D Papp Springer Nature, 2018 | 61* | 2018 |
| A general analysis of approximate nonlinear lumping in chemical kinetics. II. Constrained lumping AS Tomlin, G Li, H Rabitz, J Toth The Journal of chemical physics 101 (2), 1188-1201, 1994 | 59 | 1994 |
| Lumping in pharmacokinetics C Brochot, J Tóth, FY Bois Journal of Pharmacokinetics and Pharmacodynamics 32 (5-6), 719-736, 2005 | 56 | 2005 |
| Decay of the metastable state in a chemical system: Different predictions between discrete and continuous models B Gaveau, M Moreau, J Tóth Letters in Mathematical Physics 37 (3), 285-292, 1996 | 49 | 1996 |
| On the classification of some classification problems P Érdi, T Gröbler, J Tóth International Symposium on Information Physics, 110-117, 1992 | 49 | 1992 |
| Determination of approximate lumping schemes by a singular perturbation method G Li, AS Tomlin, H Rabitz, J Tóth The Journal of chemical physics 99 (5), 3562-3574, 1993 | 45 | 1993 |
| Decomposition of the permanganate/oxalic acid overall reaction to elementary steps based on integer programming theory K Kovács, B Vizvári, M Riedel, J Tóth Physical Chemistry Chemical Physics 6 (6), 1236-1242, 2004 | 41* | 2004 |
| Necessary condition of the Turing instability L Szili, J Tóth Physical Review E 48 (1), 183-186, 1993 | 34 | 1993 |
| Stochastic simulation of chemical reaction by digital computer, I. The model T Sipos, J Tóth, P Érdi Reaction Kinetics and Catalysis Letters 1 (1), 113-117, 1974 | 34 | 1974 |
| Differenciálegyenletek. Bevezetés az elméletbe és az alkalmazásokba J Tóth, LP Simon , Typotex, 2005 | 29* | 2005 |
| Orthogonal transforms of the Lorenz-and Rössler-equation J Tóth, V Hárs Physica D: Nonlinear Phenomena 19 (1), 135-144, 1986 | 29 | 1986 |
| Comments to an Article of Frank-Kamenetskii on the Quasi-Steady-State Approximation T Turányi, J Tóth Acta chimica Hungarica 129 (6), 903-907 (-914), 1992 | 28 | 1992 |
| Kutatás és közlés a természettudományokban P Csermely, P Gergely, T Koltay, J Tóth Osiris, Budapest, 1999 | 27* | 1999 |
| From systems biology to dynamical neuropharmacology: proposal for a new methodology P Érdi, T Kiss, J Tóth, B Ujfalussy, L Zalányi Systems Biology, IEEE Proc. 153 (4), 299-308, 2006 | 26 | 2006 |
| Bendixson‐Type Theorems with Applications J Tóth ZAMM‐Zeitschrift für Angewandte Mathematik und Mechanik 67 (1), 31-35, 1987 | 25 | 1987 |
| Stochastic simulation of chemical reactions by digital computer, II. Applications T Sipos, J Tóth, P Érdi Reaction Kinetics and Catalysis Letters 1 (2), 209-213, 1974 | 25 | 1974 |
| Realizations of kinetic differential equations G Craciun, MD Johnston, G Szederkényi, E Tonello, J Tóth, PY Yu Mathematical Biosciences and Engineering 17 (1), 862-892, 2020 | 22 | 2020 |
| Global controllability of chemical reactions DA Drexler, J Tóth Journal of Mathematical Chemistry 54, 1327-1350, 2016 | 22 | 2016 |
| Estimating reaction rate constants with neural networks B Kovács, J Tóth International Journal of Applied Mathematics 4 (2), 515-519, 2007 | 22 | 2007 |
| Variational nonequilibrium thermodynamics of reaction-diffusion systems. I. The information potential B Gaveau, M Moreau, J Tóth The Journal of chemical physics 111 (17), 7736-7747, 1999 | 21 | 1999 |
| Gradient systems are cross-catalytic J Tóth Reaction Kinetics and Catalysis Letters 12 (3), 253-257, 1979 | 20 | 1979 |
| Designing benefit rules for flexible retirement: Welfare vs. redistribution P Eső, A Simonovits, J Tóth Acta Oeconomica 61 (1), 3-32, 2011 | 19 | 2011 |
| Fast variables elimination in stochastic kinetics M Frankowicz, M Moreau, PP Szczesny, J Toth, L Vicente The Journal of Physical Chemistry 97 (9), 1891-1895, 1993 | 19 | 1993 |
| No limit cycle in two species second order kinetics B Schuman, J Tóth Bulletin des sciences mathematiques 127 (3), 222-230, 2003 | 18 | 2003 |
| Entropy, extropy and information potential in stochastic systems far from equilibrium B Gaveau, K Martinás, M Moreau, J Tóth Physica A: Statistical Mechanics and its Applications 305 (3-4), 445-466, 2002 | 17 | 2002 |
| On the origin of Turing instability L Szili, J Tóth Journal of Mathematical Chemistry 22 (1), 39-53, 1997 | 17 | 1997 |
| What is and what is not stated by the May-Wigner theorem? P Érdi, J Tóth Journal of Theoretical Biology 145 (1), 137-140, 1990 | 17 | 1990 |
| Qualitative analysis of a closed-loop model of tumor growth control L Drexler, D. A., Nagy, I., Romanovski, V., Tóth, J., Kovács CINTI 2018 - 18th IEEE International Symposium on Computational Intelligence …, 2018 | 16* | 2018 |
| Detailed balance in ion channels: application of Feinberg’s theorem I Nagy, B Kovács, J Tóth Reaction Kinetics and Catalysis Letters 96 (2), 263-267, 2009 | 16 | 2009 |
| Blow up in Polynomial Differential Equations R Csikja, J Tóth Enformatika. International Journal of Applied Mathematics and Computer …, 2007 | 16 | 2007 |
| Controllability and reachability of reactions with temperature and inflow control DA Drexler, E Virágh, J Tóth Fuel 211 (1), 906-911, 2018 | 15 | 2018 |
| Local Interaction in Tax Evasion MB Garay, A Simonovits, J Tóth Economics Letters 115 (3), 412–415, 2012 | 15 | 2012 |
| Master Equation and Fokker–Planck Equation: Comparison of Entropy and of Rate Constants B Gaveau, M Moreau, J Tóth Letters in Mathematical Physics 40 (2), 101-115, 1997 | 15 | 1997 |
| Specification of oscillating chemical models starting from a given linearized form J Tóth, V Hárs Theoretica Chimica Acta 70 (2), 143-150, 1986 | 15 | 1986 |
| ReactionKinetics—A Mathematica package with applications AL Nagy, D Papp, J Tóth Chemical Engineering Science 83 (1), 12-23, 2012 | 14 | 2012 |
| Microscopic reversibility or detailed balance in ion channel models I Nagy, J Tóth Journal of Mathematical Chemistry 50, 1179-1199, 2012 | 13 | 2012 |
| Exact linear lumping in abstract spaces Z Rózsa, J Tóth Electronic Journal of the Qualitative Theory of Differential Equations (Proc …, 2004 | 13 | 2004 |
| Stochastic reaction kinetics=“nonequilibrium thermodynamics” of the state space? P Érdi, J Tóth Reaction Kinetics and Catalysis Letters 4 (1), 81-85, 1976 | 13 | 1976 |
| On three genetic repressilator topologies A Dukaric, M., Errami, H., Jerala, R., Lebar, T., Romanovski, V. G., Tóth, J ... Reaction Kinetics, Mechanims and Catalysis 126 (1), 3-30, 2018 | 12* | 2018 |
| Invariant Planes and Periodic Oscillations in the May–Leonard Asymmetric Model, V Antonov, D Dolicanin, VG Romanovski, J Tóth MATCH. Communications in Mathematical and Computer Chemistry 76 (2), 455-474, 2016 | 12 | 2016 |
| Search for Hamiltonian Cycles CG Csehi, J Tóth The Mathematica Journal 13, 1-17, 2011 | 11 | 2011 |
| Invariants of kinetic differential equations A Halmschlager, L Szenthe, J Tóth EJQTDE (Electronic Journal of the Qualitative Theory of Differential …, 2004 | 11 | 2004 |
| Multistationarity is neither necessary nor sufficient to oscillations J Tóth Journal of mathematical chemistry 25 (4), 393-397, 1999 | 11 | 1999 |
| Variational nonequilibrium thermodynamics of reaction-diffusion systems. II. Path integrals, large fluctuations, and rate constants B Gaveau, M Moreau, J Tóth Journal of Chemical Physics 111 (17), 7748-7757, 1999 | 11 | 1999 |
| Stability of polynomials J Tóth, L Szili, A Zachár Math. Educ. Res 7 (2), 5-12, 1998 | 11 | 1998 |
| Matematika és Mathematica L Szili, J Tóth ELTE Eötvös Kiadó, Budapest, 396, 1996 | 11 | 1996 |
| Maximum likelihood estimation of reaction-rate constants KM Hangos, J Tóth Computers & chemical engineering 12 (2-3), 135-139, 1988 | 11 | 1988 |
| Several exact results on deterministic exotic kinetics A Császár, P Érdi, L Jicsinszky, J Tóth, T Turányi Zeitschrift für Physikalische Chemie (Leipzig) 264 (1), 449-463, 1983 | 11 | 1983 |
| Dynamic modeling of biochemical reactions with application to signal transduction: principles and tools using Mathematica* J Tóth, JP Rospars Biosystems 79 (1-3), 33-52, 2005 | 10 | 2005 |
| Towards a dynamic neuropharmacology: integrating network and receptor levels P Érdi, J Tóth Brain, Vision and Artifical Intelligence, (M. De Gregorio, V. Di Maio, M …, 2005 | 10 | 2005 |
| Some kinds of exotic phenomena in chemical systems P Érdi, J Toth, V Hars Electronic Journal of the Qualitative Theory of Differential Equations 30 …, 1981 | 10 | 1981 |
| Quadratic first integrals of kinetic differential equations I Nagy, J Tóth Journal of Mathematical Chemistry 52, 93-114, 2014 | 9 | 2014 |
| n-Dimensional ratio-dependent predator-prey systems with memory K Kiss, J Tóth Differential Equations and Dynamical Systems 17 (1), 17-35, 2009 | 9 | 2009 |
| Dissipation of energy and of information in nonequilibrium reaction-diffusion systems B Gaveau, M Moreau, J Toth Physical Review E 58 (5), 5351-5355, 1998 | 9 | 1998 |
| Anyagmegmaradás összetett kémiai mechanizmusokban J Deák, J Tóth, B Vizvári Alkalmazott Matematikai Lapok 16, 73-97, 1992 | 9 | 1992 |
| Poissonian stationary distribution: A degenerate case of stochastic kinetics J Tóth, TL Török Reaction Kinetics and Catalysis Letters 13 (2), 167-171, 1980 | 8 | 1980 |
| Some comments on Prigogine's theories P Érdi, J Tóth Reaction Kinetics and Catalysis Letters 11 (4), 371-375, 1979 | 8 | 1979 |
| Structural analysis of combustion mechanisms J Tóth, AL Nagy, IG Zsély Journal of Mathematical Chemistry 53, 86-110, 2015 | 7* | 2015 |
| The method of quasi-stationary sensitivity analysis T Turányi, T Bérces, J Tóth Journal of mathematical chemistry 2 (4), 401-409, 1988 | 7 | 1988 |
| Energy-optimal operation conditions of a tunnel kiln G Halasz, J Tóth, KM Hangos Computers & chemical engineering 12 (2-3), 183-187, 1988 | 7 | 1988 |
| Qualitative analysis of a model for synaptic slow waves KR Schneider, B Wegner, J Tóth Journal of Mathematical Chemistry 1 (2), 219-234, 1987 | 7 | 1987 |
| What is essential to exotic kinetic behavior? J Tóth Reaction Kinetics and Catalysis Letters 9 (4), 377-381, 1979 | 7 | 1979 |
| Automatic kinetic model generation and selection based on concentration versus time curves T Nagy, T Tóth, János, Ladics International Journal of Chemical Kinetics 52 (2), 109-123, 2019 | 6 | 2019 |
| Neural dynamics in co-morbid schizophrenia and OCD: A computational approach K Szalisznyó, DN Silverstein, J Tóth Journal of Theoretical Biology 473, 80-94, 2019 | 6 | 2019 |
| Information potential and transition to criticality for certain two-species chemical systems B Gaveau, M Moreau, J Toth Physica A: Statistical Mechanics and its Applications 277 (3-4), 455-468, 2000 | 6 | 2000 |
| A stochastic model of phytoplankton dynamics in lake Balaton T Kutas, J Tóth Journal of Statistical Computation and Simulation 21 (3-4), 241-264, 1985 | 6 | 1985 |
| Partial fraction decomposition of some meromorphic functions L Szili, J Tóth Annales Univ. Sci, Budapest, Sect. Comp 38, 93-108, 2012 | 5 | 2012 |
| Reduction of the number of variables in dynamics models J Tóth, G Genyuan Li, H Rabitz, A Tomlin Methods of Non-Equilibrium Processes and Thermodynamics in Economics and …, 1995 | 5 | 1995 |
| Poissonian stationary distribution in a class of detailed balanced reactions J Tóth Reaction Kinetics and Catalysis Letters 18 (1-2), 169-173, 1981 | 5 | 1981 |
| Two Nested Limit Cycles in Two-Species Reactions I Nagy, VG Romanovski, J Tóth Mathematics 8 (10, 1658), 16 pages, 2020 | 4 | 2020 |
| Some chaotic properties of the β-hysteresis transformation BM Garay, R Csikja, J Tóth Proc. of the 2008 International Symposium on Nonlinear Theory and its …, 2008 | 4 | 2008 |
| Új eredmények az optimális járadékfüggvény tervezéséről A Simonovits, J Tóth Közgazdasági Szemle 54, 628–643, 2007 | 4 | 2007 |
| Variational nonequilibrium thermodynamics of reaction-diffusion systems. III. Progress variables and dissipation of energy and information B Gaveau, M Moreau, J Tóth The Journal of Chemical Physics 115 (2), 680-690, 2001 | 4 | 2001 |
| Scenarios for self-organized criticality in dynamical systems B Gaveau, M Moreau, J Toth Open Systems & Information Dynamics 7 (4), 297-308, 2000 | 4 | 2000 |
| Kinetic symmetries: Some hints J Tóth, P Érdi Chemical Reactivity in Liquids: Fundamental Aspects, 517-522, 1988 | 4 | 1988 |
| Oscillatory phenomena at the synapse.' P Érdi, J Tóth Advances in Physiological Sciences 34, 113-121, 1981 | 4 | 1981 |
| Limit cycles in a two-species reaction B Fercec, I Nagy, VG Romanovski, G Szederkényi, J Tóth Journal of Nonlinear Modeling and Analysis 1 (3), 283-300, 2019 | 3 | 2019 |
| ReactionKinetics---A Mathematica Package with Applications I. Requirements for a Reaction Kinetics Package J Tóth, AL Nagy, D Papp arXiv preprint arXiv:1107.3093, 2011 | 3 | 2011 |
| Chaos via two-valued interval maps in a piecewise affine model example for hysteresis R Csikja, BM Garay, J Tóth Proceedings of the 19th International Symposium on Mathematical Theory of …, 2010 | 3 | 2010 |
| Sensitivity analysis of a generic cell-cycle model E Sipos-Szabó, J Tóth, I Pál, IG Zsély, T Turányi, A Csikász-Nagy Group 70 (72), 73-85, 2008 | 3 | 2008 |
| Formal kinetics with applications J Tóth Proceedings of the 6th World Multiconference on Systemic, Cybernetics …, 2002 | 3 | 2002 |
| Stochastic simulation of complex chemical reactions by computer P Érdi, T Sipos, J Tóth MAGYAR KEMIAI FOLYOIRAT 79 (3), 97-108, 1973 | 3 | 1973 |
| Kinetic Modeling of a Consecutive Enzyme-Catalyzed Enantioselective Reaction in Supercritical Media - MF Gustavo, E Székely, J Tóth ACS Omega 5 (41), 26795-26806, 2020 | 2 | 2020 |
| Comparing computational speed of MATLAB and Mathematica across a set of benchmark number crunching problems M Gustavo, J Tóth Annales Univ. Sci. Budapest, Sect. Comp. 49, 219-227, 2019 | 2 | 2019 |
| Symbolic lumping of some catenary, mamillary and circular compartmental systems E Egri, J Tóth, C Brochot, FY Bois arXiv preprint arXiv:0802.2806, 2008 | 2 | 2008 |
| Master equations and path-integral formulation of variational principles for reactions B Gaveau, M Moreau, J Tóth Variational and Extremum Principles in Macroscopic Systems (S. Sienytucz, H …, 2005 | 2 | 2005 |
| How to apply number theoretical methods to discover the steps of an overall reaction B Vizvári, J Tóth Magyar Kémiai Folyóirat 106 (10), 405-413, 2000 | 2 | 2000 |
| Applying a List of Functions to an Argument: A Dual of Map J Tóth, P Ván Mathematica in Education and Research 9 (3/4), 58-63, 2000 | 2 | 2000 |
| Numerical and symbolic applications of Mathematica L Szili, J Tóth Mathematica Pannonica 10 (1), 83-92, 1999 | 2 | 1999 |
| Chemical reaction kinetics as a prototype of nonlinear science J Tóth, L Szili, P Érdi The Paradigm of Self-Organization II, (London) (G.J. Dalenoort ed.) 24, 184-201, 1994 | 2 | 1994 |
| Structures, hypergraphs, and knowledge representation in chemical engineering science. I—Problem formulation T Blickle, GG Halász, J Tóth The International Journal for Artificial Intelligence in Engineering 5 (3 …, 1990 | 2 | 1990 |
| FLUCTUATION-DISSIPATION THEOREM OF CHEMICAL-REACTION KINETICS. 1. THEORETICAL REMARKS J Tóth, P Érdi Magyar Kémiai Folyóirat 83 (1), 47-49, 1977 | 2 | 1977 |
| Detailed balanced and unbalanced triangle reactions I Nagy, G Póta, J Tóth Journal of Chemical Education, submitted for publication, 0 | 2 | |
Peter ErdiKalamazoo CollegeVerified email at kzoo.edu
