D. Rand

发表

Local adaptive Galerkin bases for large-dimensional dynamical systems

D. Broomhead, R. Indik, A. Newell, 1991 .

D. Rand, 1982 .

Dynamical Systems and Turbulence, Warwick 1980 : proceedings of a symposium held at the University of Warwick 1979/80

D. Rand, L. Young, 1981 .

High-Resolution Temporal Profiling of Transcripts during Arabidopsis Leaf Senescence Reveals a Distinct Chronology of Processes and Regulation[C][W][OA]

Christopher A. Penfold, Dafyd J. Jenkins, D. Wild, 2011, Plant Cell.

Arabidopsis Defense against Botrytis cinerea: Chronology and Regulation Deciphered by High-Resolution Temporal Transcriptomic Analysis[C][W][OA]

Karsten M. Borgwardt, Christopher A. Penfold, Emma J. Cooke, 2012, Plant Cell.

Transcriptional Dynamics Driving MAMP-Triggered Immunity and Pathogen Effector-Mediated Immunosuppression in Arabidopsis Leaves Following Infection with Pseudomonas syringae pv tomato DC3000[OPEN]

Christopher A. Penfold, Dafyd J. Jenkins, George R. Littlejohn, 2015, Plant Cell.

Dynamical Systems and Turbulence, Warwick 1980

D. Rand, L. Young, 1981 .

Global phase space universality, smooth conjugacies and renormalisation: I. The C1+alpha case

D. Rand, 1988 .

Fractal bifurcation sets, renormalization strange sets and their universal invariants

D. Rand, 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

Universality and Renormalisation in Dynamical Systems

T. Bedford, D. Rand, H. Swift, 1988 .

Global phase space universality, smooth conjugacies and renormalization. II. The Ck+ alpha case using rapid convergence of Markov families

D. Rand, A. Pinto, 1992 .

Existence, nonexistence and universal breakdown of dissipative golden invariant tori. I. Golden critical circle maps

D. Rand, 1992 .

Correlation models for childhood epidemics

D. Rand, M. Keeling, A. Morris, 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Prediction of Photoperiodic Regulators from Quantitative Gene Circuit Models

Andrew J. Millar, David A. Rand, Paul E. Brown, 2009, Cell.

Physiological levels of TNFα stimulation induce stochastic dynamics of NF-κB responses in single living cells

David A. Rand, David G. Spiller, David E. Nelson, 2010, Journal of Cell Science.

Dynamic Analysis of Stochastic Transcription Cycles

Julian R. E. Davis, Claire V. Harper, D. Rand, 2011, PLoS biology.

Explorer Dynamic Analysis of Stochastic Transcription Cycles

Julian R. E. Davis, Claire V. Harper, D. Rand, 2011 .

The topological classification of Lorenz attractors

David A. Rand, D. Rand, 1978, Mathematical Proceedings of the Cambridge Philosophical Society.

Correlation Equations and Pair Approximations for Spatial Ecologies

David A. Rand, D. Rand, 1999 .

Detecting chaos in a noisy time series

H. B. Wilson, D A Rand, H B Wilson, 1993, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics

H. B. Wilson, D A Rand, H B Wilson, 1991, Proceedings of the Royal Society of London. Series B: Biological Sciences.

etecting chaos in a noisy tim e series

D. Rand, 2022 .

Measurement of single-cell dynamics

David A. Rand, David G. Spiller, Christopher D. Wood, 2010, Nature.

Using a single fluorescent reporter gene to infer half-life of extrinsic noise and other parameters of gene expression.

Bärbel Finkenstädt, Michał Komorowski, D. Rand, 2010, Biophysical journal.

Quantitative analysis of regulatory flexibility under changing environmental conditions

Paul E. Brown, Paul E Brown, Ferenc Nagy, 2010, Molecular systems biology.

Universal Transition from Quasiperiodicity to Chaos in Dissipative Systems

J. Sethna, E. Siggia, D. Rand, 1982 .

Population robustness arising from cellular heterogeneity

Claire V. Harper, D. Rand, D. Spiller, 2010, Proceedings of the National Academy of Sciences.

Using spatio-temporal chaos and intermediate-scale determinism to quantify spatially extended ecosystems

H. B. Wilson, D. Rand, 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Uncovering the design principles of circadian clocks: mathematical analysis of flexibility and evolutionary goals.

D. Rand, B. Shulgin, A. Millar, 2006, Journal of theoretical biology.

Network Control Analysis for Time-Dependent Dynamical States

D. Rand, 2011 .

Turbulent transport and the random occurrence of coherent events

David A. Rand, Alan C. Newell, A. Newell, 1988 .

Dynamics of T cell activation threshold tuning.

David A Rand, D. Rand, H. A. van den Berg, 2004, Journal of theoretical biology.

The dynamic architecture of the metabolic switch in Streptomyces coelicolor

Kay Nieselt, Rainer Breitling, Eriko Takano, 2010, BMC Genomics.

Phase locking and multiple oscillating attractors for the coupled mammalian clock and cell cycle

Peter Krusche, Till Bretschneider, Céline Feillet, 2014, Proceedings of the National Academy of Sciences.

Dynamics and symmetry. Predictions for modulated waves in rotating fluids

David A. Rand, D. Rand, 1982 .

Signal transduction controls heterogeneous NF-κB dynamics and target gene expression through cytokine-specific refractory states

Claire V. Harper, Pawel Paszek, William Rowe, 2016, Nature Communications.

The entropy function for characteristic exponents

David A. Rand, Tomas Bohr, T. Bohr, 1987 .

Frequency modulated translocational oscillations of Nrf2, a transcription factor functioning like a wireless sensor.

D. Rand, Paul J Thornalley, T. Bretschneider, 2015, Biochemical Society transactions.

Inference on periodicity of circadian time series.

Anthony Hall, Karen Halliday, Bärbel Finkenstädt, 2013, Biostatistics.

Phase portraits and bifurcations of the non-linear oscillator: ẍ + (α + γx2 + βx + δx3 = 0

D. Rand, P. J. Holmes, Peter J. Holmes, 1980 .

Asymmetry between Activation and Deactivation during a Transcriptional Pulse

Anne V. McNamara, Julian R. E. Davis, Claire V. Harper, 2017, Cell systems.

Spatially coordinated dynamic gene transcription in living pituitary tissue

Hiroshi Momiji, Karen Featherstone, Anne V. McNamara, 2015, eLife.

Inference for a transcriptional stochastic switch model from single cell imaging data

Julian R. E. Davis, Kirsty L. Hey, D. Rand, 2014 .

Sensitivity, robustness, and identifiability in stochastic chemical kinetics models

Michael P H Stumpf, Michał Komorowski, David A Rand, 2011, Proceedings of the National Academy of Sciences.

TimeTeller: a New Tool for Precision Circadian Medicine and Cancer Prognosis

D. Rand, F. Lévi, S. Giacchetti, 2019, bioRxiv.

Spatial Correlations and Local Fluctuations in Host-Parasite Models

D. Rand, M. Keeling, 2001 .

Time-Series Transcriptomics Reveals That AGAMOUS-LIKE22 Affects Primary Metabolism and Developmental Processes in Drought-Stressed Arabidopsis[CC-BY]

Christopher A. Penfold, Dafyd J. Jenkins, T. Lawson, 2016, Plant Cell.

A Spatial Mechanism for the Evolution and Maintenance of Sexual Reproduction

David A. Rand, Matthew James Keeling, D. Rand, 1995 .

Spatial Correlations and LocalFluctuations in Host ParasiteM

D. Rand, J. Keeling, 1995 .

GEOMETRIC MEASURES FOR HYPERBOLIC SETS ON SURFACES

D. Rand, A. Pinto, 2006, math/0605402.

Vortex Dynamics in a Coupled Map Lattice

T. Bohr, M. Jensen, D. Rand, 1990 .

Dynamics of T–cell antagonism: enhanced viral diversity and survival

D. Rand, N. Burroughs, 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Dynamical landscapes of cell fate decisions

D. Rand, J. Briscoe, M. Sáez, 2022, Interface Focus.

Sir Erik Christopher Zeeman. 4 February 1925—13 February 2016

D. Rand, 2022, BIOGRAPHICAL MEMOIRS OF FELLOWS OF THE ROYAL SOCIETY.

Mathematical model of the epigenetic control ofvernalisation in Arabidopsis thaliana

D. Rand, A. Millar, J. D. Salazar, 2008 .

Bayesian inference for stochastic oscillatory systems using the phase-corrected Linear Noise Approximation

D. Rand, G. Minas, B. Swallow, 2022, 2205.05955.

their universal invariants

D. Rand, 2016 .

Transcription Factor Pit-1 Affects Transcriptional Timing in the Dual-Promoter Human Prolactin Gene

Anne V. McNamara, Julian R. E. Davis, Claire V. Harper, 2021, Endocrinology.

Disentangling juxtacrine from paracrine signalling in dynamic tissue

David A. Rand, Hiroshi Momiji, Kirsty L. Hassall, 2019, PLoS Comput. Biol..

Using constraints and their value for optimization of large ODE systems

Mirela Domijan, David A Rand, D. Rand, 2015, Journal of The Royal Society Interface.

Bifurcations of the forced van der Pol oscillator

David A. Rand, D. Rand, P. J. Holmes, 1978 .

Bayesian inference of biochemical kinetic parameters using the linear noise approximation

David A. Rand, Michal Komorowski, Claire V. Harper, 2009, BMC Bioinformatics.

Network balance via CRY signalling controls the Arabidopsis circadian clock over ambient temperatures

Steven Penfield, Bärbel Finkenstädt, Andrew J Millar, 2013, Molecular systems biology.

Temperature-sensitive version of P2010 Arabidopsis clock model by Mirela Domijan, from Gould et al. 2013.

D. Rand, A. Hall, A. Millar, 2013 .

Robustness from flexibility in the fungal circadian clock

Andrew J. Millar, Ozgur E. Akman, David A. Rand, 2010, BMC Systems Biology.

Reconstruction of transcriptional dynamics from gene reporter data using differential equations

Andrew J. Millar, Sanyi Tang, David A. Rand, 2008, Bioinform..

Isoform switching facilitates period control in the Neurospora crassa circadian clock

Sanyi Tang, James C. W. Locke, Ozgur E Akman, 2008, Molecular systems biology.

Supplementary information for Reconstruction of transcriptional dynamics from gene reporter data using dierential equations.

Julian R. E. Davis, Claire V. Harper, E. Heron, 2006 .

Design principles underlying circadian clocks

D A Rand, D. Rand, B. Shulgin, 2004, Journal of The Royal Society Interface.

Long-time analytic approximation of large stochastic oscillators: Simulation, analysis and inference

David A. Rand, Giorgos Minas, D. Rand, 2016, bioRxiv.

Mapping global sensitivity of cellular network dynamics: sensitivity heat maps and a global summation law

D A Rand, D. Rand, 2008, Journal of The Royal Society Interface.

Bayesian inference for dynamic transcriptional regulation; the Hes1 system as a case study

David A. Rand, Elizabeth A. Heron, Bärbel Finkenstädt, 2007, Bioinform..

Universal properties of the transition from quasi-periodicity to chaos

James P. Sethna, David A. Rand, Eric D. Siggia, 1983 .

The singularity spectrum f (α) for cookie-cutters

D. Rand, 1989 .

The inwardly rectifying K+ channel KIR7.1 controls uterine excitability throughout pregnancy

D. Rand, J. Brosens, M. Taggart, 2014, EMBO molecular medicine.

Pulsatile Stimulation Determines Timing and Specificity of NF-κB-Dependent Transcription

D. S. Broomhead, Claire V. Harper, D. Broomhead, 2009, Science.

Invasion, stability and evolution to criticality in spatially extended, artificial host—pathogen ecologies

David A. Rand, Matthew James Keeling, H. B. Wilson, 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Dynamics and evolution: evolutionarily stable attractors, invasion exponents and phenotype dynamics.

H. B. Wilson, D A Rand, H B Wilson, 1994, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

ReTrOS: a MATLAB toolbox for reconstructing transcriptional activity from gene and protein expression data

David A. Rand, Giorgos Minas, Dafyd J. Jenkins, 2017, BMC Bioinformatics.

Solenoid functions for hyperbolic sets on surfaces

Bstract, D. Rand, A. Pinto, 2013 .

Dynamics, Ergodic Theory, and Geometry: Solenoid functions for hyperbolic sets on surfaces

D. Rand, A. Pinto, 2007 .

Frequency Modulated Translocational Oscillations of Nrf2 Mediate the Antioxidant Response Element Cytoprotective Transcriptional Response

D. Rand, Paul J Thornalley, T. Bretschneider, 2014, Antioxidants & redox signaling.

Coupling between the Circadian Clock and Cell Cycle Oscillators: Implication for Healthy Cells and Malignant Growth

David A. Rand, Franck Delaunay, D. Rand, 2015, Front. Neurol..

Statistically derived geometrical landscapes capture principles of decision-making dynamics during cell fate transitions

E. Siggia, D. Rand, J. Briscoe, 2021, Cell systems.

A quantitative landscape of cell fate transitions identifies principles of cellular decision-making

E. Siggia, D. Rand, J. Briscoe, 2021, bioRxiv.

Direct measurement of transcription rates reveals multiple mechanisms for configuration of the Arabidopsis ambient temperature response

D. Rand, B. Finkenstadt, S. Penfield, 2014, Genome Biology.

Markov chain Monte Carlo analysis of human Y-chromosome microsatellites provides evidence of biased mutation.

D. Rand, D. Rubinsztein, N. Burroughs, 1999, Proceedings of the National Academy of Sciences of the United States of America.

Guidelines for Genome-Scale Analysis of Biological Rhythms

Pierre Baldi, Andrew J. Millar, Francis J. Doyle, 2017, Journal of biological rhythms.

Multiplexing information flow through dynamic signalling systems

David A. Rand, Giorgos Minas, Dan J. Woodcock, 2019, bioRxiv.

Temperature regulates NF-κB dynamics and function through timing of A20 transcription

Claire V. Harper, P Downton, D A Rand, 2018, Proceedings of the National Academy of Sciences.

Systems Chronotherapeutics

David A. Rand, Annabelle Ballesta, D. Rand, 2017, Pharmacological Reviews.

Quantifying the strength of ligand antagonism in TCR triggering

D. Rand, N. Burroughs, D. A. Rand, 2002, Bulletin of mathematical biology.

Dynamicsof T cell activation thres hold tuning

D. Rand, H. Berg, 2004 .

Antigen presentation on MHC molecules as a diversity filter that enhances immune efficacy.

David A Rand, D. Rand, H. A. van den Berg, 2003, Journal of theoretical biology.

Foreignness as a matter of degree: the relative immunogenicity of peptide/MHC ligands.

David A Rand, D. Rand, H. A. van den Berg, 2004, Journal of theoretical biology.

A reliable and safe T cell repertoire based on low-affinity T cell receptors.

D A Rand, D. Rand, N. Burroughs, 2001, Journal of theoretical biology.

One-dimensional schrodinger equation with an almost periodic potential

David A. Rand, Hans Joachim Schellnhuber, Eric D. Siggia, 1983 .

A moment closure model for sexually transmitted disease transmission through a concurrent partnership network

D A Rand, C Bauch, C. Bauch, 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

A Physiologically Required G Protein-coupled Receptor (GPCR)-Regulator of G Protein Signaling (RGS) Interaction That Compartmentalizes RGS Activity*

D. Rand, G. Ladds, Claire Hill, 2013, The Journal of Biological Chemistry.

Geometry of gene regulatory dynamics

Archishman Raju, David A. Rand, Eric D. Siggia, 2021, Proceedings of the National Academy of Sciences.

Modelling antigenic drift in weekly flu incidence

Alex S. Morton, D A Rand, D. Rand, 2005, Statistics in medicine.

Quantifying cell transitions in C. elegans with data-fitted landscape models

D. Rand, A. Warmflash, E. Camacho-Aguilar, 2021, bioRxiv.

Reconstruction of Cell Surface Densities of Ion Pumps, Exchangers, and Channels from mRNA Expression, Conductance Kinetics, Whole-Cell Calcium, and Current-Clamp Voltage Recordings, with an Application to Human Uterine Smooth Muscle Cells

David A. Rand, Andrew M. Blanks, Hugo Antonius van den Berg, 2016, PLoS Comput. Biol..

Turbulence and Linear Stability in a Discrete Ginzburg-Landau Model

T. Bohr, M. Jensen, D. Rand, 1990 .

Characteristic length scales of spatial models in ecology via fluctuation analysis

I. Mezić, D. Rand, M. Keeling, 1997 .

Balance equations can buffer noisy and sustained environmental perturbations of circadian clocks

David A. Rand, Mirela Domijan, D. Rand, 2010, Interface Focus.

Exotic phenomena in games and duopoly models

David A. Rand, D. Rand, 1978 .

Non‐Unitary Valuation Subalgebras

D. Rand, 1974 .

Bifurcations in one dimension

L. Jonker, D. Rand, 1981 .

Bifurcations in one dimension

L. Jonker, D. Rand, 1980 .

Rigidity of Hyperbolic Sets on Surfaces

D. Rand, A. Pinto, 2005 .

TimeTeller: a tool to probe the circadian clock as a multigene dynamical system

D. Rand, S. Ott, M. Veretennikova, 2023, bioRxiv.

Reconstructing the dynamics of unobserved variables in spatially extended systems

David A. Rand, H. B. Wilson, D. Rand, 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

A stochastic transcriptional switch model for single cell imaging data

David A. Rand, Karen Featherstone, Julian R. E. Davis, 2015, Biostatistics.

Quantifying intrinsic and extrinsic noise in gene transcription using the linear noise approximation: An application to single cell data

David A. Rand, Julian R. E. Davis, Barbel Finkenstadt, 2013, 1401.1640.

Time-series transcriptomics reveals that AGAMOUS-LIKE 22 affects 3 primary metabolism and developmental processes in drought-stressed 4 Arabidopsis 5 6 Running title : Temporal drought dynamics in Arabidopsis 7 8

Christopher A. Penfold, Dafyd J. Jenkins, T. Lawson, 2016 .

Evolutionary catastrophes, punctuated equilibria and gradualism in ecosystem evolution

H. B. Wilson, D. Rand, 1993, Proceedings of the Royal Society of London. Series B: Biological Sciences.

Doubly periodic circular Couette flow: Experiments compared with predictions from dynamics and symmetry

David A. Rand, M. Gorman, Harry L. Swinney, 1981 .

Universal properties of maps of the circle with ɛ-singularities

L. Jonker, D. Rand, 1983 .

PeTTSy: a computational tool for perturbation analysis of complex systems biology models

David A. Rand, Paul E. Brown, Mirela Domijan, 2016, BMC Bioinformatics.

Measuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies

D. Rand, 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

The singularity spectrum f(α) for cookie-cutters

D. Rand, 1989, Ergodic Theory and Dynamical Systems.

Isoform switching facilitates period control in the Neurospora crassa circadian clock

D. Rand, A. Millar, Sanyi Tang, 2008, Molecular Systems Biology.

Quantitative theories of T‐cell responsiveness

D. Rand, H. A. van den Berg, Hugo A. Van Den Berg, 2007, Immunological reviews.

Hugo A. van den Berg

D. Rand, H. Berg, 2007 .

The bifurcations of duffing's equation: An application of catastrophe theory

David A. Rand, D. Rand, P. J. Holmes, 1976 .

Dual positive and negative regulation of GPCR signaling by GTP hydrolysis.

D. Rand, G. Ladds, Claire Hill, 2009, Cellular signalling.

The Unit of Selection in Viscous Populations and the Evolution of Altruism.

M. Baalen, D. Rand, van Baalen M, 1998, Journal of theoretical biology.

Network balance via CRY signalling controls the Arabidopsis circadian clock over ambient temperatures

D. Rand, A. Millar, B. Finkenstädt, 2013, Molecular systems biology.

ReTrOS: a MATLAB toolbox for reconstructing transcriptional activity from gene and protein expression data

Dafyd J. Jenkins, D. Rand, B. Finkenstädt, 2017, BMC Bioinformatics.

Transcriptional Dynamics Driving MAMP-Triggered Immunity and Pathogen Effector-Mediated Immunosuppression in Arabidopsis Leaves Following Infection with Pseudomonas syringae pv tomato DC3000[OPEN]

Christopher A. Penfold, Dafyd J. Jenkins, George R. Littlejohn, 2015, Plant Cell.

Quantifying intrinsic and extrinsic noise in gene transcription using the linear noise approximation: An application to single cell data

Julian R. E. Davis, Claire V. Harper, D. Rand, 2013, 1401.1640.

Parameter sensitivity analysis for biochemical reaction networks.

David A. Rand, Giorgos Minas, D. Rand, 2019, Mathematical biosciences and engineering : MBE.

Long-time analytic approximation of large stochastic oscillators: Simulation, analysis and inference

D. Rand, G. Minas, 2016, bioRxiv.

Multiplexing information flow through dynamic signalling systems

Claire V. Harper, D. Rand, D. Woodcock, 2019, bioRxiv.

Arc exchange systems and renormalization

D. Rand, A. Pinto, F. Ferreira, 2010 .

Cantor exchange systems and renormalization

D. Rand, A. Pinto, F. Ferreira, 2007 .

Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics

D. Rand, A. Pinto, F. Ferreira, 2007 .

Hausdorff Dimension versus Smoothness

D. Rand, A. Pinto, F. Ferreira, 2007 .

High-Resolution Temporal Profiling of Transcripts during Arabidopsis Leaf Senescence Reveals a Distinct Chronology of Processes and Regulation[C][W][OA]

Christopher A. Penfold, Dafyd J. Jenkins, D. Wild, 2011, Plant Cell.

A temporal switch model for estimating transcriptional activity in gene expression

David A. Rand, Dafyd J. Jenkins, Bärbel Finkenstädt, 2013, Bioinform..

Title : Quantitative analysis of regulatory flexibility under changing environmental conditions

Paul E. Brown, D. Rand, L. Kozma-Bognár, 2010 .

On the local stability of wave fronts defined by eikonal equations

D. Rand, 1980, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Thresholds in pareto sets

David A. Rand, D. Rand, 1976 .

Spatio-temporal chaos. I. Hyperbolicity, structural stability, spatio-temporal shadowing and symbolic dynamics

D. Rand, V. M. Gundlach, 1993 .

Spatio-temporal chaos. III: Natural spatio-temporal measures for coupled circle map lattices

D. Rand, V. M. Gundlach, 1993 .

Spatio-temporal chaos. II: Unique Gibbs states for higher-dimensional symbolic systems

D. Rand, V. M. Gundlach, 1993 .

A mechanism for localised turbulence

T. Bohr, D. Rand, 1991 .

A hierarchical model of transcriptional dynamics allows robust estimation of transcription rates in populations of single cells with variable gene copy number

David A. Rand, Dan J. Woodcock, Michal Komorowski, 2013, Bioinform..

Reconstruction of transcriptional dynamics from gene reporter data using differential equations

Julian R. E. Davis, Claire V. Harper, E. Heron, 2008, Bioinform..