Maini, Philip K. - Centre for Mathematical Biology & Mathematical Institute, University of Oxford

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• expression. Knock-down of EJC components therefore should be expected to have a systemic impact on gene expression, resulting in
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• Robert A. Gatenby and Philip K. Maini xperimental oncology is awash with
• Appl. Math. Lett. Vol. 10, No. 1, pp. 1-4, 1997 Copyright@1997 Elsevier Science Ltd
• Computer Physics Communications 180 (2009) 24522471 Contents lists available at ScienceDirect
• Variable renewal rate and growth properties of cell populations in colon crypts A. Di Garbo,1
• Supplementary information 1 ECM turnover model
• CANCER DISEASE: INTEGRATIVE MODELLING APPROACHES Helen M. Byrne, Markus R. Owen
• A design principle for vascular beds: The effects of complex blood rheology
• J Math Imaging Vis (2008) 30: 275283 DOI 10.1007/s10851-007-0055-0
• Complex networks generated by the Penna bit-string model: Emergence of small-world and assortative mixing
• A MULTIPLE SCALE MODEL FOR TUMOR GROWTH T. ALARCON, H. M. BYRNE, AND P. K. MAINI
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• still able to proliferate. Thus, paracrine IL-2 produced ``in trans'' by the host T cells can act with CD28 signals delivered ``in cis'' to
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• DOI: 10.1007/s10915-004-4617-7 Journal of Scientific Computing, Vol. 24, No. 2, August 2005 ( 2005)
• economic decline. Without economic growth there would be no profits, hence no
• Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
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• DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
• Physica D 181 (2003) 80101 Pattern formation in spatially heterogeneous Turing
• MATHEMATICAL BIOSCIENCES doi:10.3934/mbe.2009.6.779 AND ENGINEERING
• Fibroblast migration and collagen deposition during dermal wound healing: mathematical
• Physica D 160 (2001) 79102 Parameter space analysis, pattern sensitivity and model comparison
• Clock and Induction Model for Somitogenesis SANTIAGO SCHNELL* AND PHILIP K. MAINI
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• Journal of Theoretical Biology 235 (2005) 476484 The role of acidity in solid tumour growth and invasion
• Journal of Theoretical Biology 225 (2003) 257274 A cellular automaton model for tumour growth in
• Feedback Control Architecture and the Bacterial Chemotaxis Network
• Streaming instability of slime mold amoebae: An analytical model Thomas Hofer1,2
• Mathematical modelling of tumour acidity Kieran Smallbone a,, Robert A. Gatenby b
• A Century of Enzyme Kinetics: Reliability of the KM and vvvmax Estimates
• Bulletin of Mathematical Biology (2007) 69: 11 DOI 10.1007/s11538-006-9191-8
• Appendix A. Parameter Derivation An average human weighs about 70 kg, with an average blood volume,
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• Tumour angiogenesis: The gap between theory and experiments J.W. Schofield a,, E.A. Gaffney a
• Supplementary Information Cancer stem cells as a proportion of the total tumour mass
• Bulletin of Mathematical Biology (2006) 68: 981995 DOI 10.1007/s11538-006-9106-8
• Available online at http://www.idealibrary.com on doi:10.1006/bulm.2002.0283
• #Author to whom correspondence should be addressed. E-mail: maini@maths.ox.ac.uk
• MATHEMATICAL Mathematical and Computer Modelling 35 (2002) 137-144
• Digital Object Identifier (DOI): 10.1007/s00285-005-0362-2
• Mathematical Models and Methods in Applied Sciences Vol. 17, Suppl. (2007) 16411645
• Two-stage Turing model for generating pigment patterns on the leopard and the jaguar R. T. Liu,1
• C. R. Biologies 326 (2003) 717727 Biological modelling
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• ABSTRACTS OF COMMUNICATIONS Proceedings of the Thirty-sixth Meeting of the
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• BioSystems 71 (2003) 5159 Response kinetics of tethered bacteria to stepwise changes
• Journal of Theoretical Biology 244 (2007) 703713 Metabolic changes during carcinogenesis
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• Mathematics Applied to Biology and Medicine
• Analysis of a Risk-Based Model for the Growth of AIDS Infection*
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• Table S3. Plasmids and bacterial strains used in this study Strain/plasmid Description Source/reference
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• Interpreting two-photon imaging data of lymphocyte motility Michael E. Meyer-Hermann1,2,
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• Ecology, 81(3), 2000, pp. 749760 2000 by the Ecological Society of America
• Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer
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• Mathematical Models and Methods in Applied Sciences Vol. 15, No. 11 (2005) iiiviii
• Parallel stochastic simulation using graphics processing units for the Systems Biology
• Comparing a discrete and continuum model of the intestinal crypt This article has been downloaded from IOPscience. Please scroll down to see the full text article.
• Bulletin of Mathematical Biology (2008) 70: 15251569 DOI 10.1007/s11538-008-9321-6
• Available online at http://www.idealibrary.com on doi:10.1006/bulm.1999.0163
• SUPPLEMENTARY MATERIAL corresponding to
• Fig. 1. Morphological changes in molar spatial patterning in mouse after maternal transfer of 5E1. (A-J) Five types of molar patterns obtained in maxilla (Mx) and mandible (Mn): Type-I, wild-
• Journal of Theoretical Biology 240 (2006) 562573 Mixed-mode pattern in Doublefoot mutant mouse limb--Turing
• Mathematics Masterclasses Stretching the imagination
• Computational Biology and Chemistry 33 (2009) 269274 Contents lists available at ScienceDirect
• A reprint from American Scientistthe magazine of Sigma Xi, The Scientific Research Society
• IMA Journal of Mathematics Applied in Medicine and Biology (2000) 17, 379-393 Biological implications of a discrete mathematical model for
• BioSystems 94 (2008) 4754 Contents lists available at ScienceDirect
• www.sciencemag.org SCIENCE VOL 314 1 DECEMBER 2006 1397 CREDITS(TOPTOBOTTOM)
• Different populations of RNA polymerase II in living mammalian cells Miki Hieda1,2
• Bull Math Biol (2011) 73: 1 DOI 10.1007/s11538-011-9627-7
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• DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
• B Lymphocytes -Development and 1Frankfurt Institute for Advanced Studies (FIAS), Goethe-
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• An efficient and robust numerical algorithm for estimating parameters in Turing systems
• The Use of Hybrid Cellular Automaton Models for Improving Cancer Therapy
• MATHEMATICAL BIOSCIENCES http://math.asu.edu/~mbe/ AND ENGINEERING
• Digital Object Identifier (DOI): 10.1007/s002850100112
• Hypotheses and modelling / Hypothses et modlisation Models for pattern formation in somitogenesis
• Introduction Santiago Schnell, Philip K. Maini,, Stuart A. Newman,
• INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 38 (2005) 97419749 doi:10.1088/0305-4470/38/45/002
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• 20 Mathematical modelling of angiogenesis and vascular adaptation1
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• FROM BACTERIA TO HUMANS: MOLECULAR MODELLING AND SIMULATION OF ION CHANNELS
• Parallel stochastic simulation using graphics processing units for the Systems Biology
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• IMA Journal of Applied Mathematics (1996) 57, 211-221 A shooting argument approach to a sharp-type solution for nonlinear
• A mathematical model for collagen fibre formation during foetal and adult dermal wound healing
• Spatial pattern formation in chemical and biological systems Philip K. Maini,a Kevin J. Paintera and Helene Nguyen Phong Chaub
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• AN ENVELOPE METHOD FOR ANALYZING SEQUENTIAL PATTERN FORMATION
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• SPATIOTEMPORAL PATTERN FORMATION IN EARLY DEVELOPMENT: A REVIEW OF PRIMITIVE STREAK FORMATION
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• THE DYNAMICS AND PINNING OF A SPIKE FOR A REACTION-DIFFUSION SYSTEM
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• How the mouse got its stripes Philip K. Maini*
• Journal of Theoretical Biology 224 (2003) 269275 Estimation of effective vaccination rate
• A moving grid finite element method applied to a model biological pattern generator q
• C. R. Biologies 327 (2004) 225234 Biological modelling / Biomodlisation
• INTRODUCTION ACTIVE CELLULAR INVASION is characteristic of both
• Journal of Theoretical Biology 229 (2004) 395411 A mathematical model of the effects of hypoxia on the cell-cycle of
• Extracellular volume regulation and growth Dobroslav Hajeka,*, Petr Kolarb
• Bulletin of Mathematical Biology 67 (2005) 7999 www.elsevier.com/locate/ybulm
• CUTTING EDGE Cutting Edge: Back to "One-Way" Germinal Centers1
• Ecological Modelling 188 (2005) 253278 Modelling rain forest diversity: The role of competition
• Mathematical models in physiology BY DAVID GAVAGHAN
• Bulletin of Mathematical Biology (2006) 68: 11 DOI 10.1007/s11538-006-9081-0
• ecological modelling 1 9 5 ( 2 0 0 6 ) 407408 available at www.sciencedirect.com
• Modelling aspects of cancer dynamics: BY H. M. BYRNE
• Mathematical Medicine and Biology (2006) 23, 255277 doi:10.1093/imammb/dql012
• NETWORKS AND HETEROGENEOUS MEDIA Website: http://aimSciences.org c American Institute of Mathematical Sciences
• Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on
• Bulletin of Mathematical Biology (2006) 68: 20272051 DOI 10.1007/s11538-006-9064-1
• Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal Matthew D. Johnston, Carina M. Edwards, Walter F. Bodmer, Philip K. Maini, and S. Jonathan
• Solution of the Age-Structured Model with Uniform Age Distribution. In the age-structured model, if the initial distribution of ages is uniform, given by ni(a) = ^ni/ti, then the
• A Biomimetic Algorithm for the Improved Detection of Microarray Features
• Speed of reaction diffusion in embryogenesis Karen M. Page,1,
• Cellular metabolism We first define a simple model of cellular glucose metabolism. Under normal physiological
• Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions
• Bulletin of Mathematical Biology (2007) 69: 27372772 DOI 10.1007/s11538-007-9253-6
• Journal of Theoretical Biology 250 (2008) 115 A simple mechanistic model of sprout spacing in
• Supplementary Figure legends Supplementary Figure 1: Long term follow up of changing hair cycle domains on
• Mathematical and Computer Modelling 47 (2008) 560579 www.elsevier.com/locate/mcm
• Modelling multiscale aspects of colorectal cancer Ingeborg M.M. van Leeuwen*, Helen M. Byrne*, Matthew D. Johnston''',
• Bulletin of Mathematical Biology (2008) 70: 15701607 DOI 10.1007/s11538-008-9322-5
• been found for pre-gastrula embryos, the beta4 gain and loss-of-function phenotypes suggest potentially novel roles for the beta4
• Supplementary material Here we present the supplementary material to the article "Inherent noise can facilitate
• An integrative computational model for intestinal tissue renewal I. M. M. van Leeuwen*,
• Supplementary Information We consider cell density (n) and concentration of an activator (a). Cells undergo random motion,
• From a discrete to a continuum model of cell dynamics in one dimension Philip J. Murray,1
• Spatiotemporal modelling of CheY complexes in Escherichia coli chemotaxis M.J. Tindall a,b,*, S.L. Porter c
• BMC Systems Biology Research article
• RESEARCH Open Access Oscillatory dynamics in a model of vascular
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• Ergodic directional switching in mobile insect groups Carlos Escudero,1
• Modelling Spatially Regulated b-Catenin Dynamics and Invasion in Intestinal Crypts
• Supporting material: Modelling spatially regulated -catenin dynamics and invasion in intestinal crypts
• On the proportion of cancer stem cells in a tumour Matthew D. Johnston a,b
• Modeling Chemotaxis Reveals the Role of Reversed Phosphotransfer and a Bi-Functional Kinase-Phosphatase
• Table S1. The effect of parameter variation on the simulation half-life of CheB1-P. Fold increase in CheB1-P half time due
• Table S2. The effect of parameter variation on the predicted levels of CheY4-P when CheA2 autophosphorylation is turned off (k1 = 0).
• Mathematical modeling Our mathematical model consists of a system of coupled ordinary differential equations
• Growth-induced mass flows in fungal networks: Supplementary Information.
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• A hybrid approach to multiscale modelling of cancer: Supplementary
• Leaky vessels as a potential source of stromal acidification in tumours$ Natasha K. Martin a,b,, Eamonn A. Gaffney a
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• A mathematical model of tumour and blood pHe regulation: The HCO buffering system
• Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions
• Parallel stochastic simulation using graphics processing units for the
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• Feedback Control The primary aim of using feedback in a control system is to reduce the effect of
• MATHEMATICAL Thomas L. Vincent
• Progress in Biophysics & Molecular Biology 85 (2004) 451472 Towards whole-organ modelling of tumour growth
• BIOLOGICAL PATTERN FORMATION ON TWO-DIMENSIONAL SPATIAL DOMAINS: A NONLINEAR BIFURCATION ANALYSIS
• Review Forma, 10,205222,1995 Travelling Waves in Wound Healing
• 3D Multiscale Modelling of Vascular Tumour Growth 1 Multiscale modelling of vascular tumour growth in 3D: the roles
• Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies
• 2106 CellCycle 2007;Vol.6Issue17 [CellCycle6:17,2106-2112,1September2007];2007LandesBioscience
• Applications of Mathematical Modelling to Biological Pattern Formation
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• Breast Cancer: Modelling and Detection D.J. GAVAGHANa
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• Inherent noise can facilitate coherence in collective swarm motion
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• Journal of Theoretical Biology 233 (2005) 7583 Cluster formation for multi-strain infections with cross-immunity
• Mathematical Models and Methods in Applied Sciences Vol. 16, No. 7S (2006) iiivii
• ? Author to whom correspondence should be addressed. E-mail: dallon@math.byu.edu
• Physica D 168169 (2002) 6172 Size-dependent symmetry breaking in models for morphogenesis
• Distinguishing graded and ultrasensitive signalling cascade kinetics by the shape of morphogen gradients in Drosophila
• This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
• Systems biology and cancer The systems approach to complex biological problems has
• Journal of Microscopy, Vol. 245, Pt 1 2012, pp. 8289 doi: 10.1111/j.1365-2818.2011.03547.x Received 30 December 2010; accepted 5 August 2011
• PHYSICAL REVIEW E 84, 041923 (2011) Modeling parr-mark pattern formation during the early development of Amago trout
• Multi-cellular rosettes in the mouse visceral endoderm facilitate the ordered migration of
• Multi-Cellular Rosettes in the Mouse Visceral Endoderm Facilitate the Ordered Migration of Anterior Visceral
• Fat vs. thin threading approach on GPUs application to stochastic simulation
• Fat versus Thin Threading Approach on GPUs: Application to Stochastic
• Turing's Mathematical Theory of Morphogenesis
• PHYSICAL REVIEW E 85, 021921 (2012) Classifying general nonlinear force laws in cell-based models via the continuum limit
• (This is a sample cover image for this issue. The actual cover is not yet available at this time.) This article appeared in a journal published by Elsevier. The attached