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Mackey, Michael Charles

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Author ID: mackey.michael-c Recent zbMATH articles by "Mackey, Michael Charles"
Published as: Mackey, M. C.; Mackey, Michael; Mackey, Michael C.
Homepage: https://www.mcgill.ca/mathematical-physiology-lab/home-page
External Links: MGP · Wikidata · ORCID
Documents Indexed: 115 Publications since 1975, including 9 Books
Biographic References: 1 Publication
all top 5

Co-Authors

5 single-authored
12 Tyran-Kamińska, Marta
11 Lasota, Andrzej
7 Glass, Leon
7 Losson, Jérôme
6 Bélair, Jacques
6 Lei, Jinzhi
6 Vlad, Marcel Ovidiu
5 Bernard, Samuel
5 Colijn, Caroline
5 Milton, John G.
5 Santillán, Moisés
4 an der Heiden, Uwe
4 Craig, Morgan
4 Foley, Catherine
4 Humphries, Antony R.
4 Rey, Alejandro D.
3 Fowler, Andrew C.
3 Longtin, André
3 Pujo-Menjouet, Laurent
3 Rudnicki, Ryszard
3 Schwegler, Helmut
3 Walther, Hans-Otto
3 Yvinec, Romain
3 Zhuge, Changjing
2 Apostu, Raluca
2 Dale, David C.
2 Heiden, U.an der
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 Gordon, Albert M.
1 Guevara, Michael R.
1 Hauptmann, Christian
1 Herzel, Hanspeter
1 Horike, Daisuke
1 Kamthan, Pankaj K.
1 Khadra, Anmar
1 Langlois, Gabriel P.
1 Lännergren, Jan
1 Li, Jun
1 Lombardi, Vincenzo
1 Maini, Philip Kumar
1 Metzler, Ralf
1 Mitre, Tina M.
1 Moulin, Thibault
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 Ross, John D.
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 Swinburne, Joanna L.
1 Taylor, Richard W.
1 Titcombe, Michèle S.
1 Trentham, David R.
1 Tyrcha, Joanna
1 Tyson, John J.
1 Wang, Liangliang
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

20 Journal of Mathematical Biology
15 Journal of Theoretical Biology
7 Physica D
5 Bulletin of Mathematical Biology
5 Chaos
4 Journal of Statistical Physics
4 SIAM Journal on Applied Mathematics
3 Journal of Mathematical Analysis and Applications
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 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 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 Discrete and Continuous Dynamical Systems. Series B
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 Mathematical Modelling of Natural Phenomena
1 Wiadomości Matematyczne
1 Lecture Notes on Mathematical Modelling in the Life Sciences

Publications by Year

Citations contained in zbMATH

93 Publications have been cited 2,314 times in 1,716 Documents Cited by Year
Oscillation and chaos in physiological control systems. Zbl 1383.92036
Mackey, M. C.; Glass, L.
650
1977
Chaos, fractals, and noise: Stochastic aspects of dynamics. 2nd ed. Zbl 0784.58005
Lasota, Andrzej; Mackey, Michael C.
309
1994
From clocks to chaos. The rhythms of life. Zbl 0705.92004
Glass, Leon; Mackey, Michael C.
191
1988
Probabilistic properties of deterministic systems. Zbl 0606.58002
Lasota, Andrzej; Mackey, Michael C.
131
1985
Age-structured and two-delay models for erythropoiesis. Zbl 0832.92005
Bélair, Jacques; Mackey, Michael C.; Mahaffy, Joseph M.
58
1995
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
45
2005
Commodity price fluctuations: Price dependent delays and nonlinearities as explanatory factors. Zbl 0672.90022
Mackey, Michael C.
44
1989
Pathological conditions resulting from instabilities in physiological control systems. Zbl 0427.92004
Glass, Leon; Mackey, Michael C.
43
1979
Global stability in a delayed partial differential equation describing cellular replication. Zbl 0833.92014
Mackey, Michael C.; Rudnicki, Ryszard
36
1994
Dynamic hematological disease: a review. Zbl 1161.92338
Foley, Catherine; Mackey, Michael C.
35
2009
Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050
Bélair, Jacques; Mackey, Michael C.
34
1989
Globally asymptotic properties of proliferating cell populations. Zbl 0529.92011
Lasota, A.; Mackey, M. C.
33
1984
The dynamics of production and destruction: Analytic insight into complex behavior. Zbl 0523.93038
an der Heiden, Uwe; Mackey, Michael C.
32
1982
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
28
2001
Periodic auto-immune hemolytic anemia: An induced dynamical disease. Zbl 0414.92012
Mackey, Michael C.
27
1979
A new criterion for the global stability of simultaneous cell replication and maturation processes. Zbl 0980.92008
Mackey, Michael C.; Rudnicki, Ryszard
25
1999
A simple model for phase locking of biological oscillators. Zbl 0397.92006
Glass, Leon; Mackey, Michael C.
24
1979
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
23
2006
Stochastic differential delay equation, moment stability, and application to hematopoietic stem cell regulation system. Zbl 1167.34036
Lei, Jinzhi; Mackey, Michael C.
21
2007
Chaos in neurobiology. Zbl 0543.92006
Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin
21
1983
Solution multistability in first-order nonlinear differential delay equations. Zbl 1055.34510
Losson, Jérôme; Mackey, Michael C.; Longtin, André
20
1993
Multistability and boundary layer development in a transport equation with delayed arguments. Zbl 0783.92028
Rey, Alejandro D.; Mackey, Michael C.
20
1993
The dynamics of recurrent inhibition. Zbl 0538.92007
Mackey, Michael C.; an der Heiden, Uwe
19
1984
Periodic oscillations of blood cell populations in chronic myelogenous leukemia. Zbl 1163.34055
Mackey, Michael C.; Ou, Chunhua; Pujo-Menjouet, Laurent; Wu, Jianhong
18
2006
Minimizing therapeutically induced anemia. Zbl 0473.92003
Lasota, A.; Mackey, Michael C.; Wazewska-Czyzewska, Maria
18
1981
Multistability in an age-structured model of hematopoiesis: cyclical neutropenia. Zbl 1331.92068
Lei, Jinzhi; Mackey, Michael C.
17
2011
Bifurcation and bistability in a model of hematopoietic regulation. Zbl 1210.37033
Colijn, Caroline; Mackey, Michael C.
17
2007
Cell division and the stability of cellular populations. Zbl 0982.92011
Lasota, Andrzej; Mackey, Michael C.
17
1999
Relaxation oscillations in a class of delay differential equations. Zbl 1095.34543
Fowler, A. C.; Mackey, Michael C.
16
2002
Molecular distributions in gene regulatory dynamics. Zbl 1331.92046
Mackey, Michael C.; Tyran-Kamińska, Marta; Yvinec, Romain
14
2011
Understanding cyclical thrombocytopenia: a mathematical modeling approach. Zbl 1398.92107
Apostu, Raluca; Mackey, Michael C.
14
2008
Nonlinear dynamics in physiology and medicine. Zbl 1050.92013
Beuter, Anne (ed.); Glass, Leon (ed.); Mackey, Michael C. (ed.); Titcombe, Michéle S. (ed.)
14
2003
Dynamic behavior of stochastic gene expression models in the presence of bursting. Zbl 1279.92029
Mackey, M. C.; Tyran-Kamińska, M.; Yvinec, R.
13
2013
Dynamics and density evolution in piecewise deterministic growth processes. Zbl 1183.47038
Mackey, Michael C.; Tyran-Kamińska, Marta
13
2008
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.
12
2016
Cyclical thrombocytopenia: Characterization by spectral analysis and a review. Zbl 0943.92023
Swinburne, Joanna L.; Mackey, Michael C.
12
2000
Noise and stability in differential delay equations. Zbl 0807.34092
Mackey, Michael C.; Nechaeva, Irina G.
12
1994
Mathematical model for G-CSF administration after chemotherapy. Zbl 1400.92251
Foley, Catherine; Mackey, Michael C.
10
2009
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
The statistical dynamics of recurrent biological events. Zbl 0763.92001
Lasota, Andrzej; Mackey, Michael C.; Tyrcha, Joanna
10
1992
Complex oscillations in a simple deterministic neuronal network. Zbl 0456.92011
An der Heiden, Uwe; Mackey, Michael C.; Walther, Hans-Otto
10
1981
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.
9
2014
Dynamics and bistability in a reduced model of the lac operon. Zbl 1080.92031
Yildirim, Necmettin; Santillán, Moisés; Horike, Daisuke; Mackey, Michael C.
9
2004
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.
9
1990
Neutrophil dynamics in response to chemotherapy and G-CSF. Zbl 1307.92147
Zhuge, Changjing; Lei, Jinzhi; Mackey, Michael C.
8
2012
Noise and statistical periodicity. Zbl 0645.60068
Lasota, Andrzej; Mackey, Michael C.
8
1987
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
7
2017
Understanding, treating and avoiding hematological disease: better medicine through mathematics? Zbl 1334.92194
Dale, David C.; Mackey, Michael C.
7
2015
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.
7
2012
Bifurcations and traveling waves in a delayed partial differential equation. Zbl 1055.92512
Rey, Alejandro D.; Mackey, Michael C.
7
1992
Central limit theorems for non-invertible measure preserving maps. Zbl 1142.37010
Mackey, Michael C.; Tyran-Kamińska, Marta
6
2008
Observations on the pathophysiology and mechanisms for cyclic neutropenia. Zbl 1337.92104
Colijn, C.; Dale, D. C.; Foley, C.; Mackey, M. C.
6
2006
Noise-induced global asymptotic stability. Zbl 1086.34534
Mackey, Michael C.; Longtin, André; Lasota, Andrzej
6
1990
Mixed feedback: A paradigm for regular and irregular oscillations. Zbl 0644.92014
Heiden, U.an der; Mackey, M. C.
6
1987
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.
5
2015
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.
5
1996
Coupling induced statistical cycling in two diffusively coupled maps. Zbl 0812.58056
Losson, Jérôme; Mackey, Michael C.
5
1994
High frequency spikes in long period blood cell oscillations. Zbl 1111.92028
Colijn, Caroline; Flowler, A. C.; Mackey, Michael C.
4
2006
Oscillations in amturation model of blood cell production. Zbl 1197.76164
Drobnjak, Ivana; Fowler, A. C.; Mackey, Michael C.
4
2006
Dependence on initial conditions in nonlocal PDE’s and hereditary dynamical systems. Zbl 0846.34069
Crabb, Rebecca; Losson, Jérôme; Mackey, Michael C.
4
1996
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
Asymptotic stability of densities in coupled map lattices. Zbl 0888.58056
Mackey, Michael; Milton, John
4
1995
Asymptotic periodicity and banded chaos. Zbl 0766.58016
Provatas, Nicholas; Mackey, Michael C.
4
1991
A deterministic approach to survival statistics. Zbl 0717.92003
Mackey, M. C.; Milton, J. G.
4
1990
Stochastic perturbation of dynamical systems: The weak convergence of measures. Zbl 0668.93081
Lasota, Andrzej; Mackey, Michael C.
4
1989
Ion transport through biological membranes. An integrated theoretical approach. Zbl 0401.92009
Mackey, Michael C.
4
1975
Simple mathematical models of gene regulatory dynamics. Zbl 1360.92002
Mackey, Michael C.; Santillán, Moisés; Tyran-Kamińska, Marta; Zeron, Eduardo S.
3
2016
Central limit theorem behavior in the skew tent map. Zbl 1146.37345
Mackey, Michael C.; Tyran-Kamińska, Marta
3
2008
Stimulus-dependent onset latency of inhibitory recurrent activity. Zbl 1083.92004
Hauptmann, C.; Mackey, M. C.
3
2003
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
What has mathematics done for biology? Zbl 1317.00013
Mackey, Michael C. (ed.); Maini, Philip K. (ed.)
2
2015
Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae. Zbl 1307.92074
Apostu, Raluca; Mackey, Michael C.
2
2012
Electromagnetic dark energy. Zbl 1153.85002
Beck, Christian; Mackey, Michael C.
2
2008
Thermodynamic properties of coupled map lattices. Zbl 0980.37009
Losson, Jérôme; Mackey, Michael C.
2
1996
Asymptotic similarity and Malthusian growth in autonomous and nonautonomous populations. Zbl 0823.92022
Rundnicki, Ryszard; Mackey, Michael C.
2
1994
Temporal disorder in human oscillatory systems. Proceedings of an International Symposium, University of Bremen, September 8-13, 1986. Zbl 0616.00019
Rensing, L. (ed.); Heiden, U.an der (ed.); Mackey, M. C. (ed.)
2
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
The extinction of slowly evolving dynamical systems. Zbl 0454.92005
Lasota, A.; Mackey, Michael C.
2
1980
Origins of oscillation patterns in cyclical thrombocytopenia. Zbl 1406.92334
Zhuge, Changjing; Mackey, Michael C.; Lei, Jinzhi
1
2019
Response of an oscillatory differential delay equation to a single stimulus. Zbl 1393.92009
Mackey, Michael C.; Tyran-Kamińska, Marta; Walther, Hans-Otto
1
2017
Andrew Fielding Huxley (1917–2012). Zbl 1322.01052
Mackey, Michael C. (ed.); Santillán, Moisés (ed.); 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
Temporal behavior of the conditional and Gibbs’ entropies. Zbl 1108.82024
Mackey, Michael C.; Tyran-Kamińska, Marta
1
2006
Mathematics, biology, and physics: interactions and interdependence. Zbl 1118.92300
Mackey, Michael C.; Santilán, Moisés
1
2005
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 07197079
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
1
2003
Dynamic behavior in mathematical models of the tryptophan operon. Zbl 1049.92019
Santillán, Moisés; Mackey, Michael C.
1
2001
Molecular, metabolic, and genetic control: an introduction. Zbl 1072.92507
Tyson, John J.; Mackey, Michael C.
1
2001
Passage over a random energy barrier with dynamical disorder. Zbl 1020.82614
Vlad, Marcel Ovidiu; Mackey, Michael C.
1
1995
Fluctuations in circulating cell numbers following chemotherapy or bone marrow transplant. Zbl 0808.92017
Schwegler, Helmut; Mackey, Michael C.
1
1994
Ensemble and trajectory statistics in a nonlinear partial differential equation. Zbl 0935.92018
Mackey, Michael C.; Schwegler, Helmut
1
1993
A Hopf-like equation and perturbation theory for differential delay equations. Zbl 0888.34039
Losson, Jérôme; Mackey, Michael C.
1
1992
Admittance properties of electrodiffusion membrane models. Zbl 0308.92002
Mackey, Michael C.
1
1975
Origins of oscillation patterns in cyclical thrombocytopenia. Zbl 1406.92334
Zhuge, Changjing; Mackey, Michael C.; Lei, Jinzhi
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
7
2017
Response of an oscillatory differential delay equation to a single stimulus. Zbl 1393.92009
Mackey, Michael C.; Tyran-Kamińska, Marta; Walther, Hans-Otto
1
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.
12
2016
Simple mathematical models of gene regulatory dynamics. Zbl 1360.92002
Mackey, Michael C.; Santillán, Moisés; Tyran-Kamińska, Marta; Zeron, Eduardo S.
3
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
Understanding, treating and avoiding hematological disease: better medicine through mathematics? Zbl 1334.92194
Dale, David C.; Mackey, Michael C.
7
2015
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.
5
2015
What has mathematics done for biology? Zbl 1317.00013
Mackey, Michael C. (ed.); Maini, Philip K. (ed.)
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.
9
2014
Dynamic behavior of stochastic gene expression models in the presence of bursting. Zbl 1279.92029
Mackey, M. C.; Tyran-Kamińska, M.; Yvinec, R.
13
2013
Andrew Fielding Huxley (1917–2012). Zbl 1322.01052
Mackey, Michael C. (ed.); Santillán, Moisés (ed.); 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.
8
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.
7
2012
Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae. Zbl 1307.92074
Apostu, Raluca; Mackey, Michael C.
2
2012
Multistability in an age-structured model of hematopoiesis: cyclical neutropenia. Zbl 1331.92068
Lei, Jinzhi; Mackey, Michael C.
17
2011
Molecular distributions in gene regulatory dynamics. Zbl 1331.92046
Mackey, Michael C.; Tyran-Kamińska, Marta; Yvinec, Romain
14
2011
Dynamic hematological disease: a review. Zbl 1161.92338
Foley, Catherine; Mackey, Michael C.
35
2009
Mathematical model for G-CSF administration after chemotherapy. Zbl 1400.92251
Foley, Catherine; Mackey, Michael C.
10
2009
Understanding cyclical thrombocytopenia: a mathematical modeling approach. Zbl 1398.92107
Apostu, Raluca; Mackey, Michael C.
14
2008
Dynamics and density evolution in piecewise deterministic growth processes. Zbl 1183.47038
Mackey, Michael C.; Tyran-Kamińska, Marta
13
2008
Central limit theorems for non-invertible measure preserving maps. Zbl 1142.37010
Mackey, Michael C.; Tyran-Kamińska, Marta
6
2008
Central limit theorem behavior in the skew tent map. Zbl 1146.37345
Mackey, Michael C.; Tyran-Kamińska, Marta
3
2008
Electromagnetic dark energy. Zbl 1153.85002
Beck, Christian; Mackey, Michael C.
2
2008
Stochastic differential delay equation, moment stability, and application to hematopoietic stem cell regulation system. Zbl 1167.34036
Lei, Jinzhi; Mackey, Michael C.
21
2007
Bifurcation and bistability in a model of hematopoietic regulation. Zbl 1210.37033
Colijn, Caroline; Mackey, Michael C.
17
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
23
2006
Periodic oscillations of blood cell populations in chronic myelogenous leukemia. Zbl 1163.34055
Mackey, Michael C.; Ou, Chunhua; Pujo-Menjouet, Laurent; Wu, Jianhong
18
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
High frequency spikes in long period blood cell oscillations. Zbl 1111.92028
Colijn, Caroline; Flowler, A. C.; Mackey, Michael C.
4
2006
Oscillations in amturation model of blood cell production. Zbl 1197.76164
Drobnjak, Ivana; Fowler, A. C.; Mackey, Michael C.
4
2006
Temporal behavior of the conditional and Gibbs’ entropies. Zbl 1108.82024
Mackey, Michael C.; Tyran-Kamińska, Marta
1
2006
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
45
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.
9
2004
Nonlinear dynamics in physiology and medicine. Zbl 1050.92013
Beuter, Anne (ed.); Glass, Leon (ed.); Mackey, Michael C. (ed.); Titcombe, Michéle S. (ed.)
14
2003
Stimulus-dependent onset latency of inhibitory recurrent activity. Zbl 1083.92004
Hauptmann, C.; Mackey, M. C.
3
2003
Oscillations in cyclical neutropenia: new evidence based on mathematical modeling. Zbl 07197079
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
1
2003
Relaxation oscillations in a class of delay differential equations. Zbl 1095.34543
Fowler, A. C.; Mackey, Michael C.
16
2002
Sufficient conditions for stability of linear differential equations with distributed delay. Zbl 0993.34065
Bernard, Samuel; Bélair, Jacques; Mackey, Michael C.
28
2001
Dynamic behavior in mathematical models of the tryptophan operon. Zbl 1049.92019
Santillán, Moisés; Mackey, Michael C.
1
2001
Molecular, metabolic, and genetic control: an introduction. Zbl 1072.92507
Tyson, John J.; 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.
17
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.
5
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.
58
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
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
Asymptotic stability of densities in coupled map lattices. Zbl 0888.58056
Mackey, Michael; Milton, John
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.
309
1994
Global stability in a delayed partial differential equation describing cellular replication. Zbl 0833.92014
Mackey, Michael C.; Rudnicki, Ryszard
36
1994
Noise and stability in differential delay equations. Zbl 0807.34092
Mackey, Michael C.; Nechaeva, Irina G.
12
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.
2
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
20
1993
Multistability and boundary layer development in a transport equation with delayed arguments. Zbl 0783.92028
Rey, Alejandro D.; Mackey, Michael C.
20
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.
7
1992
A Hopf-like equation and perturbation theory for differential delay equations. Zbl 0888.34039
Losson, Jérôme; Mackey, Michael C.
1
1992
Asymptotic periodicity and banded chaos. Zbl 0766.58016
Provatas, Nicholas; Mackey, Michael C.
4
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.
9
1990
Noise-induced global asymptotic stability. Zbl 1086.34534
Mackey, Michael C.; Longtin, André; Lasota, Andrzej
6
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.
44
1989
Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050
Bélair, Jacques; Mackey, Michael C.
34
1989
Stochastic perturbation of dynamical systems: The weak convergence of measures. Zbl 0668.93081
Lasota, Andrzej; Mackey, Michael C.
4
1989
From clocks to chaos. The rhythms of life. Zbl 0705.92004
Glass, Leon; Mackey, Michael C.
191
1988
Noise and statistical periodicity. Zbl 0645.60068
Lasota, Andrzej; Mackey, Michael C.
8
1987
Mixed feedback: A paradigm for regular and irregular oscillations. Zbl 0644.92014
Heiden, U.an der; 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
Rensing, L. (ed.); Heiden, U.an der (ed.); Mackey, M. C. (ed.)
2
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.
131
1985
Globally asymptotic properties of proliferating cell populations. Zbl 0529.92011
Lasota, A.; Mackey, M. C.
33
1984
The dynamics of recurrent inhibition. Zbl 0538.92007
Mackey, Michael C.; an der Heiden, Uwe
19
1984
Chaos in neurobiology. Zbl 0543.92006
Guevara, Michael R.; Glass, Leon; Mackey, Michael C.; Shrier, Alvin
21
1983
The dynamics of production and destruction: Analytic insight into complex behavior. Zbl 0523.93038
an der Heiden, Uwe; Mackey, Michael C.
32
1982
Minimizing therapeutically induced anemia. Zbl 0473.92003
Lasota, A.; Mackey, Michael C.; Wazewska-Czyzewska, Maria
18
1981
Complex oscillations in a simple deterministic neuronal network. Zbl 0456.92011
An der Heiden, Uwe; Mackey, Michael C.; Walther, Hans-Otto
10
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.
43
1979
Periodic auto-immune hemolytic anemia: An induced dynamical disease. Zbl 0414.92012
Mackey, Michael C.
27
1979
A simple model for phase locking of biological oscillators. Zbl 0397.92006
Glass, Leon; Mackey, Michael C.
24
1979
Oscillation and chaos in physiological control systems. Zbl 1383.92036
Mackey, M. C.; Glass, L.
650
1977
Ion transport through biological membranes. An integrated theoretical approach. Zbl 0401.92009
Mackey, Michael C.
4
1975
Admittance properties of electrodiffusion membrane models. Zbl 0308.92002
Mackey, Michael C.
1
1975
all top 5

Cited by 2,711 Authors

50 Mackey, Michael Charles
31 Ding, Jiu
20 Adimy, Mostafa
19 Antoniou, Ioannis E.
19 Crauste, Fabien
18 Rudnicki, Ryszard
13 Bashkirtseva, Irina Adol’fovna
12 Braverman, Elena
12 Ryashko, Lev Borisovich
11 Bélair, Jacques
11 Boyarsky, Abraham
11 Horbacz, Katarzyna
11 Lei, Jinzhi
11 Longtin, André
11 Suchanecki, Zdzislaw
11 Tyran-Kamińska, Marta
11 Webb, Glenn Francis
11 Zhou, Aihui
10 Berezansky, Leonid M.
10 Milton, John G.
10 Szarek, Tomasz Jakub
9 Froyland, Gary
9 Ghosh, Dibakar
9 Mallet-Paret, John Joseph
9 Saker, Samir H.
8 Glass, Leon
8 Kurths, Jürgen
8 Nussbaum, Roger David
7 an der Heiden, Uwe
7 Angulo, Oscar
7 Góra, Paweł
7 Humphries, Antony R.
7 Morawiec, Janusz
7 Pichór, Katarzyna
7 Rhee, Noah H.
7 Volpert, Vitaly A.
7 Walther, Hans-Otto
7 Wu, Jianhong
6 Ahn, Choon Ki
6 Amiraliyev, Gabil M.
6 Bollt, Erik M.
6 Bressloff, Paul C.
6 Chekroun, Abdennasser
6 Driebe, Dean J.
6 Erdogan, Fevzi
6 Gandrillon, Olivier
6 Hille, Sander Cornelis
6 Lasota, Andrzej
6 Li, Tien-Yien
6 Liz, Eduardo
6 Oh, Sungkwun
6 Pedrycz, Witold
6 Qian, Chuanxi
6 Röst, Gergely
6 Wang, Xiao
6 Wei, Junjie
6 Yi, Taishan
5 Bodnar, Marek
5 Campbell, Sue Ann
5 Chaplain, Mark A. J.
5 Chen, Yuming
5 Chowdhury, Arup Roy
5 Diekmann, Odo
5 Ding, Xiaohua
5 El-Morshedy, Hassan A.
5 Frank, Till Daniel
5 Garbaczewski, Piotr
5 Giona, Massimiliano
5 Guo, Shangjiang
5 Hsiao, Feng-Hsiag
5 Kuznetsov, Aleksandr Petrovich
5 Lachowicz, Mirosław
5 Lani-Wayda, Bernhard
5 Li, Zhixiang
5 Liao, Xiaofeng
5 López-Marcos, Juan Carlos
5 Losson, Jérôme
5 Ma, Ruyun
5 Mahaffy, Joseph M.
5 Mezić, Igor
5 Ohira, Toru
5 Pujo-Menjouet, Laurent
5 Ruan, Shigui
5 Sharma, Kapil Kumar
5 Skardal, Per Sebastian
5 Smith, Hal Leslie
5 Stachurski, John
5 Tass, Peter Alexander
5 Thibodeaux, Jeremy J.
5 Trofimchuk, Sergei I.
5 Yang, Xiaosong
5 Zou, Xingfu
4 Ackleh, Azmy S.
4 Amster, Pablo
4 Banerjee, Malay
4 Benchohra, Mouffak
4 Burić, Nikola I.
4 Chen, Guanrong
4 Clairambault, Jean
4 Colijn, Caroline
...and 2,611 more Authors
all top 5

Cited in 297 Serials

107 Chaos, Solitons and Fractals
100 Physica D
92 Journal of Mathematical Analysis and Applications
81 Chaos
64 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
55 Applied Mathematics and Computation
52 Journal of Mathematical Biology
42 Mathematical Biosciences
39 Journal of Theoretical Biology
32 Bulletin of Mathematical Biology
31 Journal of Statistical Physics
30 Physics Letters. A
28 Journal of Differential Equations
23 Journal of Computational and Applied Mathematics
23 Mathematical and Computer Modelling
23 Nonlinear Dynamics
23 Communications in Nonlinear Science and Numerical Simulation
23 Nonlinear Analysis. Real World Applications
22 Computers & Mathematics with Applications
22 Nonlinear Analysis. Theory, Methods & Applications
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Dynamics and Differential Equations
18 Abstract and Applied Analysis
17 Advances in Difference Equations
16 Neural Computation
15 Biological Cybernetics
13 Journal of Difference Equations and Applications
12 Applied Mathematics Letters
12 Journal of Nonlinear Science
12 Discrete Dynamics in Nature and Society
11 Discrete and Continuous Dynamical Systems. Series B
10 Fuzzy Sets and Systems
10 Information Sciences
10 Neural Networks
10 Mathematical Problems in Engineering
10 SIAM Journal on Applied Dynamical Systems
9 Mathematical Methods in the Applied Sciences
9 Physica A
9 Automatica
9 Proceedings of the American Mathematical Society
9 Applied Mathematical Modelling
9 Discrete and Continuous Dynamical Systems
9 Mathematical Modelling of Natural Phenomena
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Computational Physics
7 Transactions of the American Mathematical Society
7 Acta Applicandae Mathematicae
7 Dynamical Systems
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Stochastics and Dynamics
7 Journal of Biological Dynamics
6 International Journal of Control
6 Statistics & Probability Letters
6 International Journal of Computer Mathematics
6 SIAM Journal on Applied Mathematics
6 Stochastic Processes and their Applications
6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Applicable Analysis
5 International Journal of Theoretical Physics
5 Journal of Mathematical Physics
5 Nonlinearity
5 Theoretical and Mathematical Physics
5 Theoretical Population Biology
5 Ergodic Theory and Dynamical Systems
5 Stochastic Analysis and Applications
5 Numerical Algorithms
5 Journal of Computational Neuroscience
5 Journal of Applied Mathematics and Computing
5 Journal of Physics A: Mathematical and Theoretical
5 Nonlinear Analysis. Hybrid Systems
5 Journal of Computational Dynamics
4 International Journal of Modern Physics B
4 International Journal of Systems Science
4 Physics Reports
4 Journal of Mathematical Economics
4 Semigroup Forum
4 Systems & Control Letters
4 Computational Mathematics and Modeling
4 Journal of Mathematical Sciences (New York)
4 Positivity
4 Soft Computing
3 Modern Physics Letters B
3 Rocky Mountain Journal of Mathematics
3 Journal of Applied Probability
3 Journal of Optimization Theory and Applications
3 Monatshefte für Mathematik
3 Quarterly of Applied Mathematics
3 Numerical Methods for Partial Differential Equations
3 Journal of Economic Dynamics & Control
3 Japan Journal of Industrial and Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 Journal of Inequalities and Applications
3 International Journal of Applied Mathematics and Computer Science
3 Qualitative Theory of Dynamical Systems
3 International Journal of Modern Physics C
3 Mediterranean Journal of Mathematics
3 Mathematical Biosciences and Engineering
3 Journal of Fixed Point Theory and Applications
3 International Journal of Biomathematics
...and 197 more Serials
all top 5

Cited in 48 Fields

635 Biology and other natural sciences (92-XX)
610 Ordinary differential equations (34-XX)
568 Dynamical systems and ergodic theory (37-XX)
203 Systems theory; control (93-XX)
182 Probability theory and stochastic processes (60-XX)
170 Numerical analysis (65-XX)
159 Partial differential equations (35-XX)
151 Operator theory (47-XX)
79 Statistical mechanics, structure of matter (82-XX)
68 Statistics (62-XX)
66 Computer science (68-XX)
64 Difference and functional equations (39-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
45 Information and communication theory, circuits (94-XX)
40 Operations research, mathematical programming (90-XX)
39 Measure and integration (28-XX)
32 Integral equations (45-XX)
28 Fluid mechanics (76-XX)
28 Quantum theory (81-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
17 Mechanics of particles and systems (70-XX)
14 Real functions (26-XX)
13 Approximations and expansions (41-XX)
11 Geophysics (86-XX)
9 Functional analysis (46-XX)
7 General topology (54-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Optics, electromagnetic theory (78-XX)
5 Mathematical logic and foundations (03-XX)
5 Mechanics of deformable solids (74-XX)
4 General and overarching topics; collections (00-XX)
4 Functions of a complex variable (30-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Relativity and gravitational theory (83-XX)
2 Special functions (33-XX)
2 Differential geometry (53-XX)
2 Classical thermodynamics, heat transfer (80-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 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

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