Mackey, Michael C. - Centre for Nonlinear Dynamics, Department of Physiology, McGill University

• J. Math. Biol.(1994)33:89-109 Springer-Verlag1994
• SIAM J. MATH. ANAL. c 2006 Society for Industrial and Applied Mathematics Vol. 38, No. 1, pp. 166187
• Physica D 53 (1991)295-318 North-Holland
• J. Math. Biol. (1999) 38: 241--261 Cell division and the stability of cellular populations
• INSTITUTE OF PHYSICS PUBLISHING PHYSICAL BIOLOGY Phys. Biol. 2 (2005) 2935 doi:10.1088/1478-3967/2/1/004
• In: Mathematical Biology Research Trends Editor: Lachlan B. Wilson, pp. 1-19
• Dynamics and bistability in a reduced model of the lac operon Necmettin Yildirim,a)
• ELSEVIER Physica A 215 (1995) 339 360 Maximum information entropy approach to non-markovian
• Journal of Statistical Physics, Vol. 63, Nos. 3/4, 1991 Noise-Induced Asymptotic Periodicity in a
• J. Math. Biol. (2006) 53:499519 DOI 10.1007/s00285-006-0027-9 Mathematical Biology
• KINETIC THEORY MODEL FOR ION MOVEMENT THROUGH BIOLOGICAL MEMBRANES
• A Proposed Mechanism for the Interaction of the Segmentation Clock and the Determination Front in
• Fluctuation-dissipation relations and universal behavior for relaxation processes in systems with static disorder and in the theory of mortality
• Journal of Dynamics and Differential Equations, Vol. 2, No. 4, 1990 Oscillatory Modes in a Nonlinear Second-Order
• Journal of Dynamics and Differential Equations, VoL 6, No. 3, 1994 Noise and Stability in Differential Delay Equations
• C. R. Biologies 327 (2004) 211224 Biological modelling / Biomodlisation
• Quantitative approaches to the study of bistability in the lac operon
• Physica A 365 (2006) 360382 Noise and conditional entropy evolution
• C. R. Biologies 327 (2004) 201210 Biological modelling / Biomodlisation
• Journal of Statistical Physics, Vol. 69, Nos. 5/6, 1992 A Hopf-Like Equationand Perturbation Theory for
• Bulletin of Mathematical Biology, Vol. 41, pp. 829 834 pergamon Press Ltd. 1979. Printed in Great Britain
• Mathematics,Biology,and Physics:Interactionsand
• RELAXATION OSCILLATIONS IN A CLASS OF DELAY DIFFERENTIAL EQUATIONS
• SIAM J. APPLIED DYNAMICAL SYSTEMS c 2007 Society for Industrial and Applied Mathematics Vol. 6, No. 2, pp. 378394
• Marine Biologcal Laboratory AUG 1 51973
• SIAM J. APPL. MATH. c 2007 Society for Industrial and Applied Mathematics Vol. 67, No. 2, pp. 387407
• J. Math. Biology (1984) 19:211-225 ,Journal of
• This article was published in an Elsevier journal. The attached copy is furnished to the author for non-commercial research and
• J. Math. Biol. DOI 10.1007/s00285-008-0165-3 Mathematical Biology
• THE INDEPENDENCE PRINCIPLE A RECONSIDERATION
• SIAM J. APPL. MATH. c 2006 Society for Industrial and Applied Mathematics Vol. 66, No. 6, pp. 20272048
• Physica D 72 (1994) 324-342 North-HoUand
• 2003 Blackwell Publishing Ltd. 27 Cell Prolif. 2003, 36, 2734
• SIAM J. APPLIED DYNAMICAL SYSTEMS c 2005 Society for Industrial and Applied Mathematics Vol. 4, No. 2, pp. 312332
• Dynamic stability versus thermodynamic performance in a simple model for a Brownian motor Moiss Santilln*
• C. R. Biologies 327 (2004) 235244 Biological modelling / Biomodlisation
• Journal of Theoretical Biology 248 (2007) 3747 The segmentation clock in mice: Interaction between the Wnt and Notch
• 8. MATHEMATICAL MODELS OF HEMATOPOIETIC CELL
• KINETIC THEORY MODEL FOR ION MOVEMENT THROUGH BIOLOGICAL MEMBRANES
• KINETIC THEORY MODEL FOR ION MOVEMENT THROUGH BIOLOGICAL MEMBRANES
• Journal of Neurocytology r, 311-34o (I 972) Organelle formation from pinocytotic elements
• Admittance Properties of ElectrodiffusionMembrane Models MICHAEL C. MACKEY
• Blood, Vol. 51, No. 5 (May), 1978 941 Unified Hypothesis for the Origin of
• J. Math. Biology 10, 333-345 (1980) Mathematical
• J. theor. Biol. (1980) 86,455-475 Unstable Dynamics of a Periodically Driven Oscillator
• J. Math. Biology (1981) 13:149-158 ,Journal of
• J. Math. Biology (1982) 16:75 -101 Mathematical
• J. Math. Biology (1984) 19:43-62 ,Journal of
• Physica 28D (1987) 143-154 North-Holland, Amsterdam
• A Model for the Regulation of Mammalian Platelet Production"
• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 138, 232-248 (1989) Stochastic Perturbation of Dynamical Systems
• JOURNAL OF ECONOMIC THEORY 48, 497-509 (1989) Commodity Price Fluctuations
• Journal of Dynamics and Differential Equations, Vol. 1, No. 3, 1989 Consumer Memory and Price Fluctuations
• J. Math. Biol.(1990)28:33-48 Mathematical
• Journal of Statistical Physics, Vol. 60, Nos. 5/6, 1990 Noise-Induced Global Asymptotic Stability
• Acta Biotheoretica 39: 1-14, 1991. 1991 Kluwer Academic Publishers. Printed in the Netherlands.
• J. Math. Biol. (1992) 30:775-800 ,Journal of
• J. Math. Biol. (1994)32:761-770 IflQthemotk:ol
• 20 November 1995 ELSEWIER Physics letters A 208 (1995) 99-107
• J. Math. Biol. (1999) 38: 195--219 A new criterion for the global stability of
• Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts
• Dynamic behavior in mathematical models of the tryptophan operon Moises Santillana)
• Information capacity and pattern formation in a tent map network featuring statistical periodicity C. Hauptmann*
• Journal of Theoretical Biology 223 (2003) 283298 Oscillations in cyclical neutropenia
• Biophysical Journal Volume 86 January 2004 7584 75 Why the Lysogenic State of Phage l Is So Stable: A Mathematical
• Influence of Catabolite Repression and Inducer Exclusion on the Bistable Behavior of the lac Operon
• Journal of Theoretical Biology 237 (2005) 117132 A mathematical model of hematopoiesis--I. Periodic chronic
• Journal of Theoretical Biology 237 (2005) 133146 A mathematical model of hematopoiesis: II. Cyclical neutropenia
• Journal of Theoretical Biology 238 (2006) 754763 Cost-effective G-CSF therapy strategies for cyclical neutropenia
• Physics Reports 422 (2006) 167222 www.elsevier.com/locate/physrep
• Modeling transcriptional feedback loops: The role of Gro/TLE1 in Hes1 oscillations
• Math. Model. Nat. Phenom. Vol. 1, No. 2, 2006, pp. 45-69
• Origin of Bistability in the lac Operon M. Santillan,*y
• G-CSF treatment of canine cyclical neutropenia: A comprehensive mathematical model
• June 21, 2007 11:37 WSPC/167-FNL 00374 Fluctuation and Noise Letters
• Physica A 379 (2007) 101110 Measurability of vacuum fluctuations and dark energy
• In: Cancer and Stem Cells ISBN 978-1-60456-478-5 Editor: Thomas Dittmar and Kurt S. Znker, pp. 2008 Nova Science Publishers, Inc.
• Central limit theorem behavior in the skew tent map Michael C. Mackey a,*, Marta Tyran-Kaminska b
• www.elsevier.com/locate/yjtbi Author's Accepted Manuscript
• Physica Scripta. Vol. 54, 581-593, 1996 Fluctuating Poissonian Clocks, Fractal Random Processes and
• Journal of Statistical Physics, Vol. 70, Nos. 1/2, 1993 Ensemble and Trajectory Statistics in a
• Abstract. This paper gives an explanation for the experimentally observed onset latencies of the inhibi-
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