Edit Profile (opens in new tab) Mackey, Michael Charles Co-Author Distance Author ID: mackey.michael-c Published as: Mackey, Michael C.; Mackey, M. C.; Mackey, Michael more...less Homepage: https://www.mcgill.ca/mathematical-physiology-lab/home-page External Links: MGP · ORCID · Google Scholar Documents Indexed: 120 Publications since 1975, including 7 Books and 4 Additional arXiv Preprints 4 Contributions as Editor Biographic References: 1 Publication Co-Authors: 80 Co-Authors with 115 Joint Publications 1,833 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Tyran-Kamińska, Marta 11 Lasota, Andrzej 7 Glass, Leon 7 Lei, Jinzhi 7 Losson, Jérôme 6 an der Heiden, Uwe 6 Bélair, Jacques 6 Vlad, Marcel Ovidiu 5 Bernard, Samuel 5 Colijn, Caroline 5 Humphries, Antony R. 5 Milton, John G. 5 Santillán, Moisés 4 Craig, Morgan 4 Foley, Catherine 4 Rey, Alejandro D. 4 Walther, Hans-Otto 3 Fowler, Andrew C. 3 Longtin, André 3 Pujo-Menjouet, Laurent 3 Rudnicki, Ryszard 3 Schwegler, Helmut 3 Yvinec, Romain 3 Zhuge, Changjing 2 Apostu, Raluca 2 Dale, David C. 2 Lynch, Peter 2 Mahaffy, Joseph M. 1 Beck, Christian 1 Beuter, Anne 1 Brooks, Grace 1 Čajavec, Branka 1 Cassidy, Tyler 1 Crabb, Rebecca 1 de Souza, Daniel Câmara 1 Drobnjak, Ivana 1 Endo, Makoto 1 Falfus, Mateusz 1 Flowler, A. C. 1 Ford, Lincoln E. 1 Franzini-Armstrong, Clara 1 Gedeon, Tomáš 1 Gordon, Albert M. 1 Guevara, Michael R. 1 Hauptmann, Christian 1 Herzel, Hanspeter 1 Horike, Daisuke 1 Kamthan, Pankaj K. 1 Khadra, Anmar 1 Klimasara, Paweł 1 Langlois, Gabriel P. 1 Lännergren, Jan 1 Li, Jun 1 Lombardi, Vincenzo 1 Maini, Philip Kumar 1 Meehan, Maria 1 Metzler, Ralf 1 Mitre, Tina M. 1 Moulin, Thibault 1 Nakamura, Fumihiko 1 Nechaeva, Irina G. 1 Nekka, Fahima 1 Nonnenmacher, Theo F. 1 Ou, Chunhua 1 Peachey, Lee D. 1 Piazzesi, Gabriella 1 Provatas, Nicholas 1 Provencher, Gabriel 1 Rensing, Ludger 1 Riaz, Syed Shahed 1 Rodriguez Gonzalez, Jesus G. 1 Rüdel, Reinhardt 1 Santavy, Martin 1 Santilán, Moisés 1 Scholl, Ralf 1 Schönfisch, Birgitt H. 1 Selepova, Pavla 1 Self, Julian 1 Shrier, Alvin 1 Sinclair, Sean R. 1 Sullivan, Wayne G. 1 Swinburne, Joanna L. 1 Titcombe, Michèle S. 1 Tomski, Andrzej 1 Trentham, David R. 1 Tyrcha, Joanna 1 Tyson, John J. 1 Wang, Liangliang 1 Wang, Zhao 1 Wazewska-Czyzewska, Maria 1 Winegrad, Saul 1 Woodbury, J. Walter 1 Wu, Jianhong 1 Yildirim, Necmettin 1 Zeron, Eduardo Santillan all top 5 Serials 21 Journal of Mathematical Biology 15 Journal of Theoretical Biology 7 Physica D 6 Chaos 5 Bulletin of Mathematical Biology 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 4 SIAM Journal on Applied Mathematics 3 Journal of Dynamics and Differential Equations 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Chaos, Solitons and Fractals 2 Notices of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems. Series B 2 SIAM Journal on Applied Dynamical Systems 1 Biological Cybernetics 1 Physics Letters. A 1 Annales Polonici Mathematici 1 Colloquium Mathematicum 1 Journal of Economic Theory 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Irish Mathematical Society Bulletin 1 Journal of Nonlinear Science 1 Random & Computational Dynamics 1 International Journal of Modern Physics D 1 The Canadian Applied Mathematics Quarterly 1 Fractals 1 Journal of Theoretical Medicine 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annales Mathematicae Silesianae 1 Physica Scripta 1 Applied Mathematical Sciences 1 Fields Institute Monographs 1 Interdisciplinary Applied Mathematics 1 Lecture Notes in Biomathematics 1 Springer Series in Synergetics 1 Science 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 Wiadomości Matematyczne 1 Lecture Notes on Mathematical Modelling in the Life Sciences all top 5 Fields 82 Biology and other natural sciences (92-XX) 31 Ordinary differential equations (34-XX) 30 Dynamical systems and ergodic theory (37-XX) 20 Probability theory and stochastic processes (60-XX) 14 Partial differential equations (35-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Systems theory; control (93-XX) 5 History and biography (01-XX) 5 Operator theory (47-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 2,840 times in 2,085 Documents Cited by ▼ Year ▼ Oscillation and chaos in physiological control systems. Zbl 1383.92036 Mackey, M. C.; Glass, L. 809 1977 Chaos, fractals, and noise: Stochastic aspects of dynamics. 2nd ed. Zbl 0784.58005 Lasota, Andrzej; Mackey, Michael C. 345 1994 From clocks to chaos. The rhythms of life. Zbl 0705.92004 Glass, Leon; Mackey, Michael C. 205 1988 Probabilistic properties of deterministic systems. Zbl 0606.58002 Lasota, Andrzej; Mackey, Michael C. 130 1985 Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005 Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M. 65 1995 Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors. Zbl 0672.90022 Mackey, Michael C. 54 1989 A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia. Zbl 1440.92024 Colijn, Caroline; Mackey, Michael C. 54 2005 Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050 Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C. 52 2005 Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004 Glass, Leon; Mackey, Michael C. 50 1979 Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050 Bélair, Jacques; Mackey, Michael C. 47 1989 Dynamic hematological disease: a review. Zbl 1161.92338 Foley, Catherine; Mackey, Michael C. 45 2009 Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 41 2001 Global stability in a delayed partial differential equation describing cellular replication. Zbl 0833.92014 Mackey, Michael C.; Rudnicki, Ryszard 40 1994 Globally asymptotic properties of proliferating cell populations. Zbl 0529.92011 Lasota, A.; Mackey, M. C. 35 1984 Stochastic differential delay equation, moment stability, and application to hematopoietic stem cell regulation system. Zbl 1167.34036 Lei, Jinzhi; Mackey, Michael C. 34 2007 Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 1464.92062 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 34 2003 The dynamics of production and destruction: Analytic insight into complex behavior. Zbl 0523.93038 an der Heiden, Uwe; Mackey, Michael C. 33 1982 Periodic auto-immune hemolytic anemia: An induced dynamical disease. Zbl 0414.92012 Mackey, Michael C. 30 1979 A simple model for phase locking of biological oscillators. Zbl 0397.92006 Glass, Leon; Mackey, Michael C. 29 1979 Chaos in neurobiology. Zbl 0543.92006 Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin 25 1983 Solution multistability in first-order nonlinear differential delay equations. Zbl 1055.34510 Losson, Jérôme; Mackey, Michael C.; Longtin, André 25 1993 A new criterion for the global stability of simultaneous cell replication and maturation processes. Zbl 0980.92008 Mackey, Michael C.; Rudnicki, Ryszard 25 1999 Modelling transcriptional feedback loops: The role of Gro/TLE1 in Hes1 oscillations. Zbl 1152.92316 Bernard, Samuel; Čajavec, Branka; Pujo-Menjouet, Laurent; Mackey, Michael C.; Herzel, Hanspeter 25 2006 Dynamic behavior of stochastic gene expression models in the presence of bursting. Zbl 1279.92029 Mackey, M. C.; Tyran-Kamińska, M.; Yvinec, R. 23 2013 Minimizing therapeutically induced anemia. Zbl 0473.92003 Lasota, A.; Mackey, Michael C.; Wazewska-Czyzewska, Maria 22 1981 Cell division and the stability of cellular populations. Zbl 0982.92011 Lasota, Andrzej; Mackey, Michael C. 22 1999 A mathematical model of hematopoiesis. II: Cyclical neutropenia. Zbl 1440.92025 Colijn, Caroline; Mackey, Michael C. 22 2005 The dynamics of recurrent inhibition. Zbl 0538.92007 Mackey, Michael C.; an der Heiden, Uwe 20 1984 A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization. Zbl 1361.92022 Craig, M.; Humphries, A. R.; Mackey, M. C. 20 2016 Periodic oscillations of blood cell populations in chronic myelogenous leukemia. Zbl 1163.34055 Mackey, Michael C.; Ou, Chunhua; Pujo-Menjouet, Laurent; Wu, Jianhong 19 2006 Multistability in an age-structured model of hematopoiesis: cyclical neutropenia. Zbl 1331.92068 Lei, Jinzhi; Mackey, Michael C. 19 2011 Bifurcation and bistability in a model of hematopoietic regulation. Zbl 1210.37033 Colijn, Caroline; Mackey, Michael C. 18 2007 Relaxation oscillations in a class of delay differential equations. Zbl 1095.34543 Fowler, A. C.; Mackey, Michael C. 18 2002 Nonlinear dynamics in physiology and medicine. Zbl 1050.92013 16 2003 Multistability and boundary layer development in a transport equation with delayed arguments. Zbl 0783.92028 Rey, Alejandro D.; Mackey, Michael C. 16 1993 Understanding cyclical thrombocytopenia: a mathematical modeling approach. Zbl 1398.92107 Apostu, Raluca; Mackey, Michael C. 16 2008 Dynamics and bistability in a reduced model of the lac operon. Zbl 1080.92031 Yildirim, Necmettin; Santillán, Moisés; Horike, Daisuke; Mackey, Michael C. 15 2004 Molecular distributions in gene regulatory dynamics. Zbl 1331.92046 Mackey, Michael C.; Tyran-Kamińska, Marta; Yvinec, Romain 15 2011 Dynamics and density evolution in piecewise deterministic growth processes. Zbl 1183.47038 Mackey, Michael C.; Tyran-Kamińska, Marta 15 2008 Noise and stability in differential delay equations. Zbl 0807.34092 Mackey, Michael C.; Nechaeva, Irina G. 13 1994 Cyclical thrombocytopenia: Characterization by spectral analysis and a review. Zbl 0943.92023 Swinburne, Joanna L.; Mackey, Michael C. 12 2000 Normal and pathological dynamics of platelets in humans. Zbl 1380.37146 Langlois, Gabriel P.; Craig, Morgan; Humphries, Antony R.; Mackey, Michael C.; Mahaffy, Joseph M.; Bélair, Jacques; Moulin, Thibault; Sinclair, Sean R.; Wang, Liangliang 11 2017 Mathematical model for G-CSF administration after chemotherapy. Zbl 1400.92251 Foley, Catherine; Mackey, Michael C. 11 2009 Noise and statistical periodicity. Zbl 0645.60068 Lasota, Andrzej; Mackey, Michael C. 10 1987 Propagation of population pulses and fronts in a cell replication problem: Non-locality and dependence on the initial function. Zbl 0887.92025 Rey, Alejandro D.; Mackey, Michael C. 10 1995 Transitions and kinematics of reaction-convection fronts in a cell population model. Zbl 0885.92030 Rey, Alejandro D.; Mackey, Michael C. 10 1995 Oscillatory modes in a nonlinear second-order differential equation with delay. Zbl 0725.34073 an der Heiden, U.; Longtin, A.; Mackey, M. C.; Milton, J. G.; Scholl, R. 10 1990 The statistical dynamics of recurrent biological events. Zbl 0763.92001 Lasota, Andrzej; Mackey, Michael C.; Tyrcha, Joanna 10 1992 Adiabatic reduction of a model of stochastic gene expression with jump Markov process. Zbl 1284.92031 Yvinec, Romain; Zhuge, Changjing; Lei, Jinzhi; Mackey, Michael C. 10 2014 Simple mathematical models of gene regulatory dynamics. Zbl 1360.92002 Mackey, Michael C.; Santillán, Moisés; Tyran-Kamińska, Marta; Zeron, Eduardo S. 9 2016 Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia. Zbl 1343.92215 Craig, Morgan; Humphries, Antony R.; Nekka, Fahima; Bélair, Jacques; Li, Jun; Mackey, Michael C. 9 2015 Neutrophil dynamics in response to chemotherapy and G-CSF. Zbl 1307.92147 Zhuge, Changjing; Lei, Jinzhi; Mackey, Michael C. 9 2012 Understanding, treating and avoiding hematological disease: better medicine through mathematics? Zbl 1334.92194 Dale, David C.; Mackey, Michael C. 9 2015 Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses. Zbl 1445.92137 Foley, Catherine; Bernard, Samuel; Mackey, Michael C. 9 2006 Bifurcations and traveling waves in a delayed partial differential equation. Zbl 1055.92512 Rey, Alejandro D.; Mackey, Michael C. 8 1992 Neutrophil dynamics after chemotherapy and G-CSF: the role of pharmacokinetics in shaping the response. Zbl 1397.92313 Brooks, Grace; Provencher, Gabriel; Lei, Jinzhi; Mackey, Michael C. 8 2012 Noise-induced global asymptotic stability. Zbl 1086.34534 Mackey, Michael C.; Longtin, André; Lasota, Andrzej 7 1990 Asymptotic periodicity and banded chaos. Zbl 0766.58016 Provatas, Nicholas; Mackey, Michael C. 7 1991 Mixed feedback: A paradigm for regular and irregular oscillations. Zbl 0644.92014 an der Heiden, U.; Mackey, M. C. 6 1987 Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential. Zbl 0872.60097 Vlad, Marcel Ovidiu; Metzler, Ralf; Nonnenmacher, Theo F.; Mackey, Michael C. 6 1996 Complex oscillations in a simple deterministic neuronal network. Zbl 0456.92011 An der Heiden, Uwe; Mackey, Michael C.; Walther, Hans-Otto 6 1981 Observations on the pathophysiology and mechanisms for cyclic neutropenia. Zbl 1337.92104 Colijn, C.; Dale, D. C.; Foley, C.; Mackey, M. C. 6 2006 Stochastic perturbation of dynamical systems: The weak convergence of measures. Zbl 0668.93081 Lasota, Andrzej; Mackey, Michael C. 5 1989 Oscillations in amturation model of blood cell production. Zbl 1197.76164 Drobnjak, Ivana; Fowler, A. C.; Mackey, Michael C. 5 2006 High frequency spikes in long period blood cell oscillations. Zbl 1111.92028 Colijn, Caroline; Flowler, A. C.; Mackey, Michael C. 5 2006 Central limit theorems for non-invertible measure preserving maps. Zbl 1142.37010 Mackey, Michael C.; Tyran-Kamińska, Marta 5 2008 Coupling induced statistical cycling in two diffusively coupled maps. Zbl 0812.58056 Losson, Jérôme; Mackey, Michael C. 5 1994 Dependence on initial conditions in nonlocal PDE’s and hereditary dynamical systems. Zbl 0846.34069 Crabb, Rebecca; Losson, Jérôme; Mackey, Michael C. 4 1996 Asymptotic stability of densities in coupled map lattices. Zbl 0888.58056 Mackey, Michael; Milton, John 4 1995 Phase transitions in networks of chaotic elements with short and long range interactions. Zbl 0888.58064 Losson, Jérôme; Milton, John; Mackey, Michael C. 4 1995 Temporal disorder in human oscillatory systems. Proceedings of an International Symposium, University of Bremen, September 8-13, 1986. Zbl 0616.00019 4 1987 A deterministic approach to survival statistics. Zbl 0717.92003 Mackey, M. C.; Milton, J. G. 4 1990 Ion transport through biological membranes. An integrated theoretical approach. Zbl 0401.92009 Mackey, Michael C. 4 1975 Asymptotic similarity and Malthusian growth in autonomous and nonautonomous populations. Zbl 0823.92022 Rundnicki, Ryszard; Mackey, Michael C. 4 1994 Stimulus-dependent onset latency of inhibitory recurrent activity. Zbl 1083.92004 Hauptmann, C.; Mackey, M. C. 3 2003 Electromagnetic dark energy. Zbl 1153.85002 Beck, Christian; Mackey, Michael C. 3 2008 Central limit theorem behavior in the skew tent map. Zbl 1146.37345 Mackey, Michael C.; Tyran-Kamińska, Marta 3 2008 Operon dynamics with state dependent transcription and/or translation delays. Zbl 1480.92074 Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao 3 2022 Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096 Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C. 3 2020 A Hopf-like equation and perturbation theory for differential delay equations. Zbl 0888.34039 Losson, Jérôme; Mackey, Michael C. 2 1992 Thermodynamic properties of coupled map lattices. Zbl 0980.37009 Losson, Jérôme; Mackey, Michael C. 2 1996 A mitotic oscillator with a strange attractor and distributions of cell cycle times. Zbl 0607.92003 Mackey, Michael C.; Santavy, Martin; Selepova, Pavla 2 1986 The extinction of slowly evolving dynamical systems. Zbl 0454.92005 Lasota, A.; Mackey, Michael C. 2 1980 Random numbers from a delay equation. Zbl 1354.65011 Self, Julian; Mackey, Michael C. 2 2016 The limiting dynamics of a bistable molecular switch with and without noise. Zbl 1366.34067 Mackey, Michael C.; Tyran-Kamińska, Marta 2 2016 Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae. Zbl 1307.92074 Apostu, Raluca; Mackey, Michael C. 2 2012 Response of an oscillatory differential delay equation to a single stimulus. Zbl 1393.92009 Mackey, Michael C.; Tyran-Kamińska, Marta; Walther, Hans-Otto 2 2017 What has mathematics done for biology? Zbl 1317.00013 2 2015 Response of an oscillatory differential delay equation to a periodic stimulus. Zbl 1415.92098 De Souza, Daniel C.; Mackey, Michael C. 2 2019 Density evolution under delayed dynamics. An open problem. Zbl 1462.37001 Losson, Jérôme; Mackey, Michael C.; Taylor, Richard; Tyran-Kamińska, Marta 2 2020 Origins of oscillation patterns in cyclical thrombocytopenia. Zbl 1406.92334 Zhuge, Changjing; Mackey, Michael C.; Lei, Jinzhi 2 2019 Passage over a random energy barrier with dynamical disorder. Zbl 1020.82614 Vlad, Marcel Ovidiu; Mackey, Michael C. 1 1995 Exploring the world with mathematics. Zbl 1228.01042 Mackey, Michael C. 1 2009 Mathematics, biology, and physics: interactions and interdependence. Zbl 1118.92300 Mackey, Michael C.; Santilán, Moisés 1 2005 Dynamic behavior in mathematical models of the tryptophan operon. Zbl 1049.92019 Santillán, Moisés; Mackey, Michael C. 1 2001 Ensemble and trajectory statistics in a nonlinear partial differential equation. Zbl 0935.92018 Mackey, Michael C.; Schwegler, Helmut 1 1993 Admittance properties of electrodiffusion membrane models. Zbl 0308.92002 Mackey, Michael C. 1 1975 Temporal behavior of the conditional and Gibbs’ entropies. Zbl 1108.82024 Mackey, Michael C.; Tyran-Kamińska, Marta 1 2006 Fluctuations in circulating cell numbers following chemotherapy or bone marrow transplant. Zbl 0808.92017 Schwegler, Helmut; Mackey, Michael C. 1 1994 Andrew Fielding Huxley (1917–2012). Zbl 1322.01052 Ford, Lincoln E.; Franzini-Armstrong, Clara; Woodbury, J. Walter; Winegrad, Saul; Gordon, Albert M.; Rüdel, Reinhardt; Piazzesi, Gabriella; Lombardi, Vincenzo; Endo, Makoto; Lännergren, Jan; Peachey, Lee D.; Trentham, David R. 1 2013 Operon dynamics with state dependent transcription and/or translation delays. Zbl 1480.92074 Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao 3 2022 Asymptotic (statistical) periodicity in two-dimensional maps. Zbl 1507.37062 Nakamura, Fumihiko; Mackey, Michael C. 1 2022 Randomly switching evolution equations. Zbl 1479.35970 Klimasara, Paweł; Mackey, Michael C.; Tomski, Andrzej; Tyran-Kamińska, Marta 1 2021 Characterizing chemotherapy-induced neutropenia and monocytopenia through mathematical modelling. Zbl 1448.92096 Cassidy, Tyler; Humphries, Antony R.; Craig, Morgan; Mackey, Michael C. 3 2020 Density evolution under delayed dynamics. An open problem. Zbl 1462.37001 Losson, Jérôme; Mackey, Michael C.; Taylor, Richard; Tyran-Kamińska, Marta 2 2020 Response of an oscillatory differential delay equation to a periodic stimulus. Zbl 1415.92098 De Souza, Daniel C.; Mackey, Michael C. 2 2019 Origins of oscillation patterns in cyclical thrombocytopenia. Zbl 1406.92334 Zhuge, Changjing; Mackey, Michael C.; Lei, Jinzhi 2 2019 The combined effects of Feller diffusion and transcriptional/translational bursting in simple gene networks. Zbl 1418.92040 Falfus, Mateusz; Mackey, Michael C.; Tyran-Kamińska, Marta 1 2019 Normal and pathological dynamics of platelets in humans. Zbl 1380.37146 Langlois, Gabriel P.; Craig, Morgan; Humphries, Antony R.; Mackey, Michael C.; Mahaffy, Joseph M.; Bélair, Jacques; Moulin, Thibault; Sinclair, Sean R.; Wang, Liangliang 11 2017 Response of an oscillatory differential delay equation to a single stimulus. Zbl 1393.92009 Mackey, Michael C.; Tyran-Kamińska, Marta; Walther, Hans-Otto 2 2017 A mathematical model of granulopoiesis incorporating the negative feedback dynamics and kinetics of G-CSF/neutrophil binding and internalization. Zbl 1361.92022 Craig, M.; Humphries, A. R.; Mackey, M. C. 20 2016 Simple mathematical models of gene regulatory dynamics. Zbl 1360.92002 Mackey, Michael C.; Santillán, Moisés; Tyran-Kamińska, Marta; Zeron, Eduardo S. 9 2016 Random numbers from a delay equation. Zbl 1354.65011 Self, Julian; Mackey, Michael C. 2 2016 The limiting dynamics of a bistable molecular switch with and without noise. Zbl 1366.34067 Mackey, Michael C.; Tyran-Kamińska, Marta 2 2016 Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: mathematical modelling guides dose optimisation to minimise neutropenia. Zbl 1343.92215 Craig, Morgan; Humphries, Antony R.; Nekka, Fahima; Bélair, Jacques; Li, Jun; Mackey, Michael C. 9 2015 Understanding, treating and avoiding hematological disease: better medicine through mathematics? Zbl 1334.92194 Dale, David C.; Mackey, Michael C. 9 2015 What has mathematics done for biology? Zbl 1317.00013 2 2015 Adiabatic reduction of a model of stochastic gene expression with jump Markov process. Zbl 1284.92031 Yvinec, Romain; Zhuge, Changjing; Lei, Jinzhi; Mackey, Michael C. 10 2014 Dynamic behavior of stochastic gene expression models in the presence of bursting. Zbl 1279.92029 Mackey, M. C.; Tyran-Kamińska, M.; Yvinec, R. 23 2013 Andrew Fielding Huxley (1917–2012). Zbl 1322.01052 Ford, Lincoln E.; Franzini-Armstrong, Clara; Woodbury, J. Walter; Winegrad, Saul; Gordon, Albert M.; Rüdel, Reinhardt; Piazzesi, Gabriella; Lombardi, Vincenzo; Endo, Makoto; Lännergren, Jan; Peachey, Lee D.; Trentham, David R. 1 2013 Neutrophil dynamics in response to chemotherapy and G-CSF. Zbl 1307.92147 Zhuge, Changjing; Lei, Jinzhi; Mackey, Michael C. 9 2012 Neutrophil dynamics after chemotherapy and G-CSF: the role of pharmacokinetics in shaping the response. Zbl 1397.92313 Brooks, Grace; Provencher, Gabriel; Lei, Jinzhi; Mackey, Michael C. 8 2012 Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae. Zbl 1307.92074 Apostu, Raluca; Mackey, Michael C. 2 2012 The mathematical legacy of Andrzej Lasota. Zbl 1271.37001 Mackey, Michael C.; Tyran-Kamińska, Marta; Walther, Hans-Otto 1 2012 Multistability in an age-structured model of hematopoiesis: cyclical neutropenia. Zbl 1331.92068 Lei, Jinzhi; Mackey, Michael C. 19 2011 Molecular distributions in gene regulatory dynamics. Zbl 1331.92046 Mackey, Michael C.; Tyran-Kamińska, Marta; Yvinec, Romain 15 2011 Dynamic hematological disease: a review. Zbl 1161.92338 Foley, Catherine; Mackey, Michael C. 45 2009 Mathematical model for G-CSF administration after chemotherapy. Zbl 1400.92251 Foley, Catherine; Mackey, Michael C. 11 2009 Exploring the world with mathematics. Zbl 1228.01042 Mackey, Michael C. 1 2009 Understanding cyclical thrombocytopenia: a mathematical modeling approach. Zbl 1398.92107 Apostu, Raluca; Mackey, Michael C. 16 2008 Dynamics and density evolution in piecewise deterministic growth processes. Zbl 1183.47038 Mackey, Michael C.; Tyran-Kamińska, Marta 15 2008 Central limit theorems for non-invertible measure preserving maps. Zbl 1142.37010 Mackey, Michael C.; Tyran-Kamińska, Marta 5 2008 Electromagnetic dark energy. Zbl 1153.85002 Beck, Christian; Mackey, Michael C. 3 2008 Central limit theorem behavior in the skew tent map. Zbl 1146.37345 Mackey, Michael C.; Tyran-Kamińska, Marta 3 2008 Stochastic differential delay equation, moment stability, and application to hematopoietic stem cell regulation system. Zbl 1167.34036 Lei, Jinzhi; Mackey, Michael C. 34 2007 Bifurcation and bistability in a model of hematopoietic regulation. Zbl 1210.37033 Colijn, Caroline; Mackey, Michael C. 18 2007 The segmentation clock in mice: interaction between the Wnt and Notch signalling pathways. Zbl 1451.92036 Rodríguez-González, J. G.; Santillán, Moises; Fowler, A. C.; Mackey, Michael C. 1 2007 Modelling transcriptional feedback loops: The role of Gro/TLE1 in Hes1 oscillations. Zbl 1152.92316 Bernard, Samuel; Čajavec, Branka; Pujo-Menjouet, Laurent; Mackey, Michael C.; Herzel, Hanspeter 25 2006 Periodic oscillations of blood cell populations in chronic myelogenous leukemia. Zbl 1163.34055 Mackey, Michael C.; Ou, Chunhua; Pujo-Menjouet, Laurent; Wu, Jianhong 19 2006 Cost-effective G-CSF therapy strategies for cyclical neutropenia: mathematical modelling based hypotheses. Zbl 1445.92137 Foley, Catherine; Bernard, Samuel; Mackey, Michael C. 9 2006 Observations on the pathophysiology and mechanisms for cyclic neutropenia. Zbl 1337.92104 Colijn, C.; Dale, D. C.; Foley, C.; Mackey, M. C. 6 2006 Oscillations in amturation model of blood cell production. Zbl 1197.76164 Drobnjak, Ivana; Fowler, A. C.; Mackey, Michael C. 5 2006 High frequency spikes in long period blood cell oscillations. Zbl 1111.92028 Colijn, Caroline; Flowler, A. C.; Mackey, Michael C. 5 2006 Temporal behavior of the conditional and Gibbs’ entropies. Zbl 1108.82024 Mackey, Michael C.; Tyran-Kamińska, Marta 1 2006 A mathematical model of hematopoiesis. I: Periodic chronic myelogenous leukemia. Zbl 1440.92024 Colijn, Caroline; Mackey, Michael C. 54 2005 Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050 Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C. 52 2005 A mathematical model of hematopoiesis. II: Cyclical neutropenia. Zbl 1440.92025 Colijn, Caroline; Mackey, Michael C. 22 2005 Mathematics, biology, and physics: interactions and interdependence. Zbl 1118.92300 Mackey, Michael C.; Santilán, Moisés 1 2005 Dynamics and bistability in a reduced model of the lac operon. Zbl 1080.92031 Yildirim, Necmettin; Santillán, Moisés; Horike, Daisuke; Mackey, Michael C. 15 2004 Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 1464.92062 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 34 2003 Nonlinear dynamics in physiology and medicine. Zbl 1050.92013 16 2003 Stimulus-dependent onset latency of inhibitory recurrent activity. Zbl 1083.92004 Hauptmann, C.; Mackey, M. C. 3 2003 Relaxation oscillations in a class of delay differential equations. Zbl 1095.34543 Fowler, A. C.; Mackey, Michael C. 18 2002 Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065 Bernard, Samuel; Bélair, Jacques; Mackey, Michael C. 41 2001 Dynamic behavior in mathematical models of the tryptophan operon. Zbl 1049.92019 Santillán, Moisés; Mackey, Michael C. 1 2001 Cyclical thrombocytopenia: Characterization by spectral analysis and a review. Zbl 0943.92023 Swinburne, Joanna L.; Mackey, Michael C. 12 2000 A new criterion for the global stability of simultaneous cell replication and maturation processes. Zbl 0980.92008 Mackey, Michael C.; Rudnicki, Ryszard 25 1999 Cell division and the stability of cellular populations. Zbl 0982.92011 Lasota, Andrzej; Mackey, Michael C. 22 1999 Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential. Zbl 0872.60097 Vlad, Marcel Ovidiu; Metzler, Ralf; Nonnenmacher, Theo F.; Mackey, Michael C. 6 1996 Dependence on initial conditions in nonlocal PDE’s and hereditary dynamical systems. Zbl 0846.34069 Crabb, Rebecca; Losson, Jérôme; Mackey, Michael C. 4 1996 Thermodynamic properties of coupled map lattices. Zbl 0980.37009 Losson, Jérôme; Mackey, Michael C. 2 1996 Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005 Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M. 65 1995 Propagation of population pulses and fronts in a cell replication problem: Non-locality and dependence on the initial function. Zbl 0887.92025 Rey, Alejandro D.; Mackey, Michael C. 10 1995 Transitions and kinematics of reaction-convection fronts in a cell population model. Zbl 0885.92030 Rey, Alejandro D.; Mackey, Michael C. 10 1995 Asymptotic stability of densities in coupled map lattices. Zbl 0888.58056 Mackey, Michael; Milton, John 4 1995 Phase transitions in networks of chaotic elements with short and long range interactions. Zbl 0888.58064 Losson, Jérôme; Milton, John; Mackey, Michael C. 4 1995 Passage over a random energy barrier with dynamical disorder. Zbl 1020.82614 Vlad, Marcel Ovidiu; Mackey, Michael C. 1 1995 Chaos, fractals, and noise: Stochastic aspects of dynamics. 2nd ed. Zbl 0784.58005 Lasota, Andrzej; Mackey, Michael C. 345 1994 Global stability in a delayed partial differential equation describing cellular replication. Zbl 0833.92014 Mackey, Michael C.; Rudnicki, Ryszard 40 1994 Noise and stability in differential delay equations. Zbl 0807.34092 Mackey, Michael C.; Nechaeva, Irina G. 13 1994 Coupling induced statistical cycling in two diffusively coupled maps. Zbl 0812.58056 Losson, Jérôme; Mackey, Michael C. 5 1994 Asymptotic similarity and Malthusian growth in autonomous and nonautonomous populations. Zbl 0823.92022 Rundnicki, Ryszard; Mackey, Michael C. 4 1994 Fluctuations in circulating cell numbers following chemotherapy or bone marrow transplant. Zbl 0808.92017 Schwegler, Helmut; Mackey, Michael C. 1 1994 Solution multistability in first-order nonlinear differential delay equations. Zbl 1055.34510 Losson, Jérôme; Mackey, Michael C.; Longtin, André 25 1993 Multistability and boundary layer development in a transport equation with delayed arguments. Zbl 0783.92028 Rey, Alejandro D.; Mackey, Michael C. 16 1993 Ensemble and trajectory statistics in a nonlinear partial differential equation. Zbl 0935.92018 Mackey, Michael C.; Schwegler, Helmut 1 1993 The statistical dynamics of recurrent biological events. Zbl 0763.92001 Lasota, Andrzej; Mackey, Michael C.; Tyrcha, Joanna 10 1992 Bifurcations and traveling waves in a delayed partial differential equation. Zbl 1055.92512 Rey, Alejandro D.; Mackey, Michael C. 8 1992 A Hopf-like equation and perturbation theory for differential delay equations. Zbl 0888.34039 Losson, Jérôme; Mackey, Michael C. 2 1992 Asymptotic periodicity and banded chaos. Zbl 0766.58016 Provatas, Nicholas; Mackey, Michael C. 7 1991 Oscillatory modes in a nonlinear second-order differential equation with delay. Zbl 0725.34073 an der Heiden, U.; Longtin, A.; Mackey, M. C.; Milton, J. G.; Scholl, R. 10 1990 Noise-induced global asymptotic stability. Zbl 1086.34534 Mackey, Michael C.; Longtin, André; Lasota, Andrzej 7 1990 A deterministic approach to survival statistics. Zbl 0717.92003 Mackey, M. C.; Milton, J. G. 4 1990 Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors. Zbl 0672.90022 Mackey, Michael C. 54 1989 Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050 Bélair, Jacques; Mackey, Michael C. 47 1989 Stochastic perturbation of dynamical systems: The weak convergence of measures. Zbl 0668.93081 Lasota, Andrzej; Mackey, Michael C. 5 1989 From clocks to chaos. The rhythms of life. Zbl 0705.92004 Glass, Leon; Mackey, Michael C. 205 1988 Noise and statistical periodicity. Zbl 0645.60068 Lasota, Andrzej; Mackey, Michael C. 10 1987 Mixed feedback: A paradigm for regular and irregular oscillations. Zbl 0644.92014 an der Heiden, U.; Mackey, M. C. 6 1987 Temporal disorder in human oscillatory systems. Proceedings of an International Symposium, University of Bremen, September 8-13, 1986. Zbl 0616.00019 4 1987 A mitotic oscillator with a strange attractor and distributions of cell cycle times. Zbl 0607.92003 Mackey, Michael C.; Santavy, Martin; Selepova, Pavla 2 1986 Probabilistic properties of deterministic systems. Zbl 0606.58002 Lasota, Andrzej; Mackey, Michael C. 130 1985 Globally asymptotic properties of proliferating cell populations. Zbl 0529.92011 Lasota, A.; Mackey, M. C. 35 1984 The dynamics of recurrent inhibition. Zbl 0538.92007 Mackey, Michael C.; an der Heiden, Uwe 20 1984 Chaos in neurobiology. Zbl 0543.92006 Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin 25 1983 The dynamics of production and destruction: Analytic insight into complex behavior. Zbl 0523.93038 an der Heiden, Uwe; Mackey, Michael C. 33 1982 Minimizing therapeutically induced anemia. Zbl 0473.92003 Lasota, A.; Mackey, Michael C.; Wazewska-Czyzewska, Maria 22 1981 Complex oscillations in a simple deterministic neuronal network. Zbl 0456.92011 An der Heiden, Uwe; Mackey, Michael C.; Walther, Hans-Otto 6 1981 The extinction of slowly evolving dynamical systems. Zbl 0454.92005 Lasota, A.; Mackey, Michael C. 2 1980 Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004 Glass, Leon; Mackey, Michael C. 50 1979 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,245 Authors 53 Mackey, Michael Charles 24 Adimy, Mostafa 23 Ding, Jiu 23 Rudnicki, Ryszard 19 Antoniou, Ioannis E. 19 Crauste, Fabien 16 Horbacz, Katarzyna 16 Lei, Jinzhi 14 Bashkirtseva, Irina Adol’fovna 14 Braverman, Elena 14 Ryashko, Lev Borisovich 13 Tyran-Kamińska, Marta 12 Bélair, Jacques 11 Berezansky, Leonid M. 11 Humphries, Antony R. 11 Longtin, André 11 Suchanecki, Zdzislaw 11 Webb, Glenn Francis 10 Boyarsky, Abraham 10 Froyland, Gary 10 Ghosh, Dibakar 10 Milton, John G. 10 Wu, Jianhong 9 Chekroun, Abdennasser 9 Glass, Leon 9 Mallet-Paret, John Joseph 9 Morawiec, Janusz 9 Pichór, Katarzyna 9 Qian, Chuanxi 9 Saker, Samir H. 9 Szarek, Tomasz Jakub 9 Walther, Hans-Otto 8 Czapla, Dawid 8 Hille, Sander Cornelis 8 Klus, Stefan 8 Kurths, Jürgen 8 Nussbaum, Roger David 8 Wei, Junjie 8 Zhou, Aihui 7 an der Heiden, Uwe 7 Angulo, Oscar 7 Benchohra, Mouffak 7 Bressloff, Paul C. 7 Clairambault, Jean 7 Duressa, Gemechis File 7 Erdogan, Fevzi 7 Góra, Paweł 7 Pujo-Menjouet, Laurent 7 Rhee, Noah H. 7 Volpert, Vitaly A. 7 Wojewódka-Ściążko, Hanna 6 Ahn, Choon Ki 6 Chaplain, Mark A. J. 6 Chen, Ruipeng 6 Craig, Morgan 6 Driebe, Dean J. 6 El-Morshedy, Hassan A. 6 Faria, Teresa 6 Frank, Till Daniel 6 Gandrillon, Olivier 6 Kuniya, Toshikazu 6 Lasota, Andrzej 6 Lessard, Jean-Philippe 6 Liz, Eduardo 6 Nieto Roig, Juan Jose 6 Oh, Sungkwun 6 Pedrycz, Witold 6 Pham Huu Anh Ngoc 6 Röst, Gergely 6 Schütte, Christof 6 Sharma, Kapil Kumar 6 Skardal, Per Sebastian 6 Touaoula, Tarik Mohamed 6 Trofimchuk, Sergei I. 6 Wang, Xiao 6 Yi, Taishan 5 Amiraliyev, Gabil M. 5 Amster, Pablo 5 Banerjee, Malay 5 Bodnar, Marek 5 Bollt, Erik M. 5 Breda, Dimitri 5 Campbell, Sue Ann 5 Coombes, Stephen 5 Diekmann, Odo 5 Ding, Xiaohua 5 Garbaczewski, Piotr 5 Giona, Massimiliano 5 Guo, Shangjiang 5 Hsiao, Feng-Hsiag 5 Jiang, Daqing 5 Jin, Congming 5 Kapica, Rafał 5 Krauskopf, Bernd 5 Krisztin, Tibor 5 Kuznetsov, Aleksandr Petrovich 5 Lachowicz, Mirosław 5 Lani-Wayda, Bernhard 5 Li, Tien-Yien 5 Li, Zhixiang ...and 3,145 more Authors all top 5 Cited in 359 Serials 117 Chaos, Solitons and Fractals 104 Physica D 93 Journal of Mathematical Analysis and Applications 90 Chaos 72 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 61 Journal of Mathematical Biology 52 Applied Mathematics and Computation 50 Journal of Theoretical Biology 47 Mathematical Biosciences 39 Bulletin of Mathematical Biology 38 Journal of Differential Equations 33 Communications in Nonlinear Science and Numerical Simulation 32 Journal of Statistical Physics 29 Physics Letters. A 26 Nonlinear Dynamics 24 Nonlinear Analysis. Real World Applications 23 Physica A 23 Mathematical and Computer Modelling 22 Computers & Mathematics with Applications 21 Journal of Computational and Applied Mathematics 21 Journal of Dynamics and Differential Equations 20 Discrete and Continuous Dynamical Systems. Series B 20 Nonlinear Analysis. Theory, Methods & Applications 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Abstract and Applied Analysis 18 Advances in Difference Equations 17 Biological Cybernetics 17 Journal of Nonlinear Science 17 SIAM Journal on Applied Dynamical Systems 15 Neural Computation 13 Mathematical Methods in the Applied Sciences 13 Automatica 13 Journal of Difference Equations and Applications 12 Fuzzy Sets and Systems 12 Applied Mathematics Letters 12 Discrete Dynamics in Nature and Society 12 Mathematical Biosciences and Engineering 11 Information Sciences 11 Applied Mathematical Modelling 11 Mathematical Modelling of Natural Phenomena 10 Journal of Computational Physics 10 Acta Applicandae Mathematicae 10 Neural Networks 10 Discrete and Continuous Dynamical Systems 10 Mathematical Problems in Engineering 10 Journal of Physics A: Mathematical and Theoretical 9 Nonlinearity 9 Theoretical and Mathematical Physics 9 SIAM Journal on Applied Mathematics 8 International Journal of Control 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematics and Computers in Simulation 8 Proceedings of the American Mathematical Society 8 Dynamical Systems 8 Journal of Applied Mathematics and Computing 8 Journal of Biological Dynamics 8 Nonlinear Analysis. Hybrid Systems 7 Transactions of the American Mathematical Society 7 Statistics & Probability Letters 7 International Journal of Computer Mathematics 7 Qualitative Theory of Dynamical Systems 7 Stochastics and Dynamics 7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Applicable Analysis 6 Ergodic Theory and Dynamical Systems 6 Stochastic Analysis and Applications 6 Numerical Methods for Partial Differential Equations 6 Numerical Algorithms 6 Stochastic Processes and their Applications 6 Positivity 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Journal of Computational Dynamics 6 International Journal of Applied and Computational Mathematics 5 International Journal of Theoretical Physics 5 Journal of Mathematical Physics 5 Physics Reports 5 Theoretical Population Biology 5 Systems & Control Letters 5 Journal of Computational Neuroscience 5 Soft Computing 5 Journal of Inequalities and Applications 5 International Journal of Applied Mathematics and Computer Science 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Modern Physics B 4 International Journal of Systems Science 4 Journal of the Franklin Institute 4 Journal of Mathematical Economics 4 Monatshefte für Mathematik 4 Quarterly of Applied Mathematics 4 Semigroup Forum 4 Computational Mathematics and Modeling 4 Computational Mathematics and Mathematical Physics 4 SIAM Journal on Scientific Computing 4 Journal of Mathematical Sciences (New York) 4 Computational and Applied Mathematics 4 Journal of Biological Systems 4 Boundary Value Problems 4 The European Physical Journal B. Condensed Matter and Complex Systems 4 Discrete and Continuous Dynamical Systems. Series S 4 International Journal of Biomathematics ...and 259 more Serials all top 5 Cited in 50 Fields 795 Biology and other natural sciences (92-XX) 767 Ordinary differential equations (34-XX) 647 Dynamical systems and ergodic theory (37-XX) 248 Systems theory; control (93-XX) 224 Probability theory and stochastic processes (60-XX) 223 Numerical analysis (65-XX) 215 Partial differential equations (35-XX) 188 Operator theory (47-XX) 88 Statistical mechanics, structure of matter (82-XX) 79 Difference and functional equations (39-XX) 79 Statistics (62-XX) 78 Computer science (68-XX) 55 Information and communication theory, circuits (94-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Operations research, mathematical programming (90-XX) 44 Measure and integration (28-XX) 42 Integral equations (45-XX) 33 Quantum theory (81-XX) 29 Fluid mechanics (76-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 20 Real functions (26-XX) 20 Mechanics of particles and systems (70-XX) 16 Approximations and expansions (41-XX) 13 Geophysics (86-XX) 10 Functional analysis (46-XX) 10 Optics, electromagnetic theory (78-XX) 8 Mathematical logic and foundations (03-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 General topology (54-XX) 7 General and overarching topics; collections (00-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Combinatorics (05-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of deformable solids (74-XX) 5 Functions of a complex variable (30-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year