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List of works by Michael C. Mackey

A mathematical model of hematopoiesis--I. Periodic chronic myelogenous leukemia

scientific article published on 21 June 2005

A mathematical model of hematopoiesis: II. Cyclical neutropenia

scientific article published on 21 June 2005

A proposed mechanism for the interaction of the segmentation clock and the determination front in somitogenesis

scientific article (publication date: 2008)

A simple model for phase locking of biological oscillators

scientific article published on May 15, 1979

Adiabatic reduction of a model of stochastic gene expression with jump Markov process.

scientific article published on 5 March 2013

Age-structured and two-delay models for erythropoiesis

scientific article published in July 1995

An upper bound for the half-removal time of neutrophils from circulation

scientific article published on 30 August 2016

Cell kinetic status of haematopoietic stem cells

scientific article published in April 2001

Coupled map lattices as models of deterministic and stochastic differential delay equations

scientific article published in July 1995

Cyclical neutropenia and the peripheral control of white blood cell production

scientific article published in May 1998

Deterministic Brownian motion generated from differential delay equations

scientific article published on 6 October 2011

Dynamic behavior in mathematical models of the tryptophan operon

scientific article

Dynamic behaviour of the B12 riboswitch

scientific article published in March 2005

Dynamic hematological disease: a review

scientific article

Dynamic spatial pattern formation in the sea urchin embryo

scientific article published on 25 January 2013

Dynamics and bistability in a reduced model of the lac operon.

scientific article

Erratum: Statistical cycling in coupled map lattices

scientific article published on 01 August 1995

Evolution of probability densities in stochastic coupled map lattices

scientific article published on 01 August 1995

G-CSF treatment of canine cyclical neutropenia: a comprehensive mathematical model

scientific article published in June 2007

Generating functional approach to space- and time-dependent colored noise

scientific article published on 01 August 1994

Global stability in a delayed partial differential equation describing cellular replication

scientific article published in January 1994

Globally asymptotic properties of proliferating cell populations.

scientific article published on January 1984

Hematopoietic dynamics in grey collies

scientific article published on 01 July 1999

Hematopoietic model with moving boundary condition and state dependent delay: applications in erythropoiesis

scientific article published in January 1998

High frequency spikes in long period blood cell oscillations

scientific article published on 2 August 2006

Jump clustering, Shlesinger-Hughes stochastic renormalization, and interacting Lévy flights

scientific article published on 01 April 1995

Mathematical model for G-CSF administration after chemotherapy

scientific article published in November 2008

Mathematical model of GAL regulon dynamics in Saccharomyces cerevisiae

scientific article published on 19 October 2011

Minimizing therapeutically induced anemia

scientific article published in January 1981

Modeling complex neutrophil dynamics in the grey collie

scientific article published in June 2000

Modelling transcriptional feedback loops: the role of Gro/TLE1 in Hes1 oscillations

scientific article published in May 2006

Molecular distributions in gene regulatory dynamics

scientific article published on 20 January 2011

Molecular mechanical differences between isoforms of contractile actin in the presence of isoforms of smooth muscle tropomyosin

scientific article (publication date: October 2013)

Multistability in an age-structured model of hematopoiesis: Cyclical neutropenia.

scientific article published on 19 November 2010

Neutrophil dynamics after chemotherapy and G-CSF: the role of pharmacokinetics in shaping the response.

scientific article published on 7 September 2012

Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: Mathematical modelling guides dose optimisation to minimise neutropenia.

scientific article published on 3 September 2015

Neutrophil dynamics in response to chemotherapy and G-CSF.

scientific article published on 25 October 2011

Noise and critical behavior of the pupil light reflex at oscillation onset

scientific article published on 01 June 1990

Occurrence of periodic oscillations in the differential blood counts of congenital, idiopathic, and cyclical neutropenic patients before and during treatment with G-CSF.

scientific article published on March 1999

Operon dynamics with state dependent transcription and/or translation delays

scientific article published in 2021

Organelle formation from pinocytotic elements in neurites of cultured sympathetic ganglia

scientific article published on 01 December 1972

Origin of bistability in the lac Operon.

scientific article published on 9 March 2007

Oscillations in cyclical neutropenia: new evidence based on mathematical modeling

scientific article published in August 2003

Periodic auto-immune hemolytic anemia: An induced dynamical disease

scientific article published on January 1, 1979

Periodic chronic myelogenous leukaemia: spectral analysis of blood cell counts and aetiological implications

scientific article published in February 1999

Periodic hematological disorders: Quintessential examples of dynamical diseases

scientific article published on 01 June 2020

Quantitative approaches to the study of bistability in the lac operon of Escherichia coli

scientific article published on August 2008

Recurrent inhibitory dynamics: the role of state-dependent distributions of conduction delay times.

scientific article published in May 2002

Resonance in periodic chemotherapy: a case study of acute myelogenous leukemia

scientific article published on 01 March 2001

Small delay, big waves: a minimal delayed negative feedback model captures Escherichia coli single cell SOS kinetics

scientific article published on 23 June 2011

Solution moment stability in stochastic differential delay equations

scientific article published in October 1995

Stability properties of proliferatively coupled cell replication models.

scientific article published on March 1991

Statistical cycling in coupled map lattices

scientific article published on 01 August 1994

Stochastic renormalization-group approach to space-dependent supercritical branched chain processes

scientific article published on 01 April 1995

The dynamics of recurrent inhibition.

scientific article published in January 1984

The extinction of slowly evolving dynamical systems

scientific article published in December 1980

The kinetics of mechanically coupled myosins exhibit group size-dependent regimes

scientific article published on September 2013

The rate of apoptosis in post mitotic neutrophil precursors of normal and neutropenic humans.

scientific article published in February 2003

The segmentation clock in mice: interaction between the Wnt and Notch signalling pathways.

scientific article published on 22 May 2007

The utility of simple mathematical models in understanding gene regulatory dynamics

scientific article

Understanding Normal and Pathological Hematopoietic Stem Cell Biology Using Mathematical Modelling

scientific article published in 2021

Understanding and treating cytopenia through mathematical modeling

scientific article

Understanding cyclical thrombocytopenia: a mathematical modeling approach

scientific article

Understanding, treating and avoiding hematological disease: better medicine through mathematics?

scientific article published on 12 September 2014

What has mathematics done for biology?

scientific article published in May 2015