Jonathan A. Sherratt
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Jonathan A. Sherrattmathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
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Jonathan A. Sherrattbiology Degrees
Biology
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Mathematical Biology
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Mathematics Biology
Jonathan A. Sherratt's Degrees
- PhD Mathematics University of Oxford
- Bachelors Mathematics University of Oxford
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(Suggest an Edit or Addition)Jonathan A. Sherratt's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Models of epidermal wound healing (1990) (389)
- Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies (2002) (326)
- A continuum approach to modelling cell-cell adhesion. (2006) (324)
- Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. (2002) (311)
- A new mathematical model for avascular tumour growth (2001) (252)
- Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications (2006) (241)
- Oscillations and chaos behind predator–prey invasion: mathematical artifact or ecological reality? (1997) (204)
- Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models (2008) (173)
- An Analysis of Vegetation Stripe Formation in Semi-Arid Landscapes (2005) (168)
- Periodic travelling waves in cyclic predator–prey systems (2001) (146)
- Biological inferences from a mathematical model for malignant invasion. (1996) (140)
- Mathematical modelling of extracellular matrix dynamics using discrete cells: fiber orientation and tissue regeneration. (1999) (140)
- Modelling the movement of interacting cell populations. (2003) (134)
- A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile. (1995) (132)
- Mathematical analysis of a basic model for epidermal wound healing (1991) (122)
- A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. (1997) (121)
- Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. (2007) (115)
- Dictyostelium discoideum: cellular self-organization in an excitable biological medium (1995) (113)
- Cellular pattern formation during Dictyostelium aggregation (1995) (110)
- Lipoprotein oxidation and its significance for atherosclerosis: A mathematical approach (2002) (105)
- Diffusion driven instability in an inhomogeneous domain (1993) (104)
- Oncogenes, anti-oncogenes and the immune response to cancer : a mathematical model (1992) (101)
- Control of epidermal stem cell clusters by Notch-mediated lateral induction. (2003) (100)
- Theoretical models of wound healing: past successes and future challenges. (2002) (96)
- The impact of adhesion on cellular invasion processes in cancer and development. (2010) (95)
- From a discrete to a continuous model of biological cell movement. (2004) (93)
- Modelling the macrophage invasion of tumours: effects on growth and composition. (1998) (92)
- Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients (1992) (90)
- A mathematical model for collagen fibre formation during foetal and adult dermal wound healing (1996) (89)
- Mathematical modeling of corneal epithelial wound healing. (1994) (89)
- A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations (2015) (89)
- A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion (1999) (86)
- A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion (1999) (86)
- Pattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I (2010) (82)
- Mathematical modelling of tumour acidity: regulation of intracellular pH. (1999) (81)
- Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations (2000) (79)
- Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave (1998) (78)
- Mathematical modelling of juxtacrine patterning (2000) (77)
- Lateral induction by juxtacrine signaling is a new mechanism for pattern formation. (2000) (76)
- MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS (1999) (76)
- Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions. (1997) (74)
- Generation of periodic waves by landscape features in cyclic predator–prey systems (2002) (73)
- Travelling wave solutions to a haptotaxis-dominated model of malignant invasion (2001) (72)
- Mathematical modelling of juxtacrine cell signalling. (1998) (71)
- Modeling the effects of transforming growth factor‐β on extracellular matrix alignment in dermal wound repair (2001) (70)
- Alterations in proteolytic activity at low pH and its association with invasion: A theoretical model (1999) (69)
- Unravelling the Turing bifurcation using spatially varying diffusion coefficients (1998) (66)
- History-dependent patterns of whole ecosystems (2013) (65)
- Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair. (2000) (64)
- Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing. (2000) (63)
- On the Propagation of Calcium Waves in an Inhomogeneous Medium (1997) (61)
- Extracellular matrix-mediated chemotaxis can impede cell migration (1998) (60)
- Mathematical modelling of anisotropy in fibrous connective tissue. (1999) (60)
- Delayed Density‐Dependent Season Length Alone Can Lead to Rodent Population Cycles (2006) (60)
- Macrophage Dynamics in Diabetic Wound Dealing (2006) (58)
- On the transition from initial data to travelling waves in the Fisher-KPP equation (1998) (58)
- Boundedness of solutions of a non-local reaction–diffusion model for adhesion in cell aggregation and cancer invasion (2009) (57)
- Mathematical models of wound healing in embryonic and adult epidermis. (1992) (56)
- Adding Adhesion to a Chemical Signaling Model for Somite Formation (2009) (54)
- A mathematical model for fibroblast and collagen orientation (1998) (54)
- Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model. (1994) (54)
- Disease effects on reproduction can cause population cycles in seasonal environments (2008) (54)
- Chemical control of eukaryotic cell movement: a new model. (1993) (53)
- Using wavelength and slope to infer the historical origin of semiarid vegetation bands (2015) (52)
- Delayed induced silica defences in grasses and their potential for destabilising herbivore population dynamics (2012) (51)
- Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations (2012) (51)
- Algebraic decay and variable speeds in wavefront solutions of a scalar reaction-diffusion equation (1996) (51)
- Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion (2009) (51)
- The Effects of the Size and Shape of Landscape Features on the Formation of Traveling Waves in Cyclic Populations (2003) (49)
- Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion (1996) (48)
- How far can a juxtacrine signal travel? (1999) (47)
- Cells behaving badly: a theoretical model for the Fas/FasL system in tumour immunology. (2002) (44)
- Mathematical modelling of nitric oxide activity in wound healing can explain keloid and hypertrophic scarring. (2000) (44)
- Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator–prey model (2013) (43)
- On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of Lambda-Omega Type (1994) (43)
- Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments V: The Transition from Patterns to Desert (2013) (42)
- Modeling the effects of treating diabetic wounds with engineered skin substitutes (2007) (42)
- Article Commentary: Epidermal Wound Healing: The Clinical Implications of a Simple Mathematical Model (1992) (41)
- Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing. (1997) (39)
- Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction-Diffusion Systems of Lambda-Omega Type (2009) (39)
- Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments IV: Slowly Moving Patterns and Their Stability (2013) (36)
- How do variations in seasonality affect population cycles? (2013) (36)
- A mathematical model for fibro-proliferative wound healing disorders. (1996) (36)
- Traveling Wave Solutions of a Mathematical Model for Tumor Encapsulation (1999) (35)
- Phase differences in reaction-diffusion-advection systems and applications to morphogenesis (1995) (35)
- Invading with biological weapons: the role of shared disease in ecological invasion (2009) (32)
- Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations (2013) (32)
- The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction–diffusion systems (2007) (32)
- Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal (2018) (31)
- Spatially varying equilibria of mechanical models: application to dermal wound contraction. (1998) (31)
- Turing bifurcations with a temporally varying diffusion coefficient (1995) (30)
- Pattern selection and hysteresis in the Rietkerk model for banded vegetation in semi-arid environments (2014) (28)
- Stress-induced alignment of actin filaments and the mechanics of cytogel. (1993) (28)
- On the Form of Smooth-Front Travelling Waves in a Reaction-Diffusion Equation with Degenerate Nonlinear Diffusion (2010) (28)
- Mathematical modelling of capsule formation and multinodularity in benign tumour growth (1997) (28)
- Mathematical modelling of capsule formation and multinodularity in benign tumour growth (1997) (28)
- Analysis of pattern formation in reaction diffusion models with spatially inhomogenous diffusion coefficients (1993) (27)
- Unstable wavetrains and chaotic wakes in reaction-diffusion systems of l-Ω type (1995) (27)
- A receptor based model for pattern formation in Hydra (1995) (26)
- Irregular wakes in reaction-diffusion waves (1994) (26)
- Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns (2019) (26)
- A mathematical model for lymphangiogenesis in normal and diabetic wounds. (2015) (26)
- The effects of obstacle size on periodic travelling waves in oscillatory reaction–diffusion equations (2008) (25)
- A mechanochemical model for adult dermal wound contraction (1995) (25)
- Comparison theorems and variable speed waves for a scalar reaction–diffusion equation (2001) (25)
- VEGETATION PATTERNS AND DESERTIFICATION WAVES IN SEMI-ARID ENVIRONMENTS: MATHEMATICAL MODELS BASED ON LOCAL FACILITATION IN PLANTS (2012) (25)
- Mathematical modelling of nitric oxide regulation of rete peg formation in psoriasis. (2002) (24)
- Simple modelling of extracellular matrix alignment in dermal wound healing I. cell flux induced alignment (1998) (24)
- Mathematical Models for Cell-Matrix Interactions during Dermal Wound Healing (2002) (24)
- The mathematical modelling of cell kinetics in corneal epithelial wound healing. (1999) (24)
- Spatial Noise Stabilizes Periodic Wave Patterns in Oscillatory Systems on Finite Domains (2000) (23)
- Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal (2016) (22)
- A mathematical model for fibro-proliferative wound healing disorders (1996) (22)
- Epidermal wound healing: a theoretical approach (1992) (21)
- When does colonisation of a semi-arid hillslope generate vegetation patterns? (2016) (21)
- A Mathematical Biologist’s Guide to Absolute and Convective Instability (2014) (21)
- Actin aggregation and embryonic epidermal wound healing (1993) (20)
- Spatio-temporal Models of Lymphangiogenesis in Wound Healing (2016) (20)
- Cellular Growth Control and Travelling Waves of Cancer (1993) (20)
- Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes (2015) (20)
- Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts. (2019) (20)
- The effects of density-dependent dispersal on the spatiotemporal dynamics of cyclic populations. (2008) (19)
- Nonlinear Analysis of Juxtacrine Patterns (2001) (19)
- Spatial self-organisation enables species coexistence in a model for savanna ecosystems. (2019) (19)
- How does tidal flow affect pattern formation in mussel beds? (2016) (18)
- A resolution of the chemotactic wave paradox (1994) (18)
- Absolute stability and dynamical stabilisation in predator-prey systems (2014) (17)
- Periodic Travelling Wave Selection by Dirichlet Boundary Conditions in Oscillatory Reaction-Diffusion Systems (2003) (17)
- A comparison of periodic travelling wave generation by Robin and Dirichlet boundary conditions in oscillatory reaction–diffusion equations (2008) (17)
- On the persistence of spatiotemporal oscillations generated by invasion (1999) (17)
- A Mathematical Model for Spatially Varying Extracellular Matrix Alignment (2000) (16)
- Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes (2019) (16)
- Cellular automata and integrodifferential equation models for cell renewal in mosaic tissues (2010) (16)
- The amplitude of periodic plane waves depends on initial conditions in a variety of lambda - omega systems (1993) (15)
- Modelling tumour acidity and invasion. (2001) (15)
- Propagating fronts in the complex Ginzburg-Landau equation generate fixed-width bands of plane waves. (2009) (15)
- The speed of corneal epithelial wound healing (1994) (15)
- A mechanochemical model for normal and abnormal dermal wound repair (1997) (15)
- Spatiotemporal Patterning in Models of Juxtacrine Intercellular Signalling with Feedback (2001) (15)
- Diffusion-driven instability in oscillating environments (1995) (15)
- Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model (1994) (14)
- Modelling blood flow regulation by nitric oxide in psoriatic plaques (2002) (13)
- Dictyostelium discoideum: Cellular self-organisation in an excitable medium (1995) (13)
- A comparison of two numerical methods for oscillatory reaction-diffusion systems☆ (1997) (12)
- The population dynamical consequences of density-dependent prophylaxis. (2011) (12)
- Periodic Traveling Waves in Integrodifferential Equations for Nonlocal Dispersal (2014) (12)
- Patterns of Sources and Sinks in the Complex Ginzburg-Landau Equation with Zero Linear Dispersion (2010) (12)
- An integrodifference model for vegetation patterns in semi-arid environments with seasonality (2019) (11)
- Wound Healing in the Corneal Epithelium: Biological Mechanisms and Mathematical Models (1997) (11)
- How Does Cellular Contact Affect Differentiation Mediated Pattern Formation? (2011) (10)
- Transition to spatiotemporal chaos via stationary branching shocks and holes (2012) (10)
- A comparison of the dynamical impact of seasonal mechanisms in a herbivore–plant defence system (2013) (9)
- Stress-induced alignment of actin filaments and the mechanics of cytogel (1993) (9)
- Oscillatory reaction-diffusion equations with temporally varying parameters (2004) (9)
- Oscillatory and chaotic wakes behind moving boundaries in reaction–diffusion systems (1996) (8)
- On the speed of amplitude transition waves in reaction-diffusion systems of λ−ω type (1994) (8)
- Seasonal forcing in a host-macroparasite system. (2015) (7)
- Periodic Traveling Waves Generated by Invasion in Cyclic Predator-Prey Systems: The Effect of Unequal Dispersal (2017) (7)
- Turing Patterns in Deserts (2012) (7)
- Mathematical models of wound healing (1991) (5)
- Stability Switches in a Host–Pathogen Model as the Length of a Time Delay Increases (2013) (5)
- Large scale patterns in mussel beds: stripes or spots? (2018) (5)
- A perturbation problem arising from the modelling of soluble Fas ligand in tumour immunology (2003) (4)
- Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds (2016) (4)
- Generation of periodic travelling waves in cyclic populations by hostile boundaries (2013) (4)
- Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae (1995) (4)
- Thearginine repressor isessential forplasmid-stabilizing site-specific recombination attheColE1cer locus (1988) (4)
- Predictive mathematical modeling in metastasis. (2001) (4)
- How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems? (2019) (3)
- CORNEAL EPITHELIAL WOUND HEALING (1995) (3)
- Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing (1997) (3)
- A perturbation problem arising from a mechanical model for epithelial morphogenesis (1991) (3)
- TRANSITION WAVES THAT LEAVE BEHIND REGULAR OR IRREGULAR SPATIOTEMPORAL OSCILLATIONS IN A SYSTEM OF THREE REACTION–DIFFUSION EQUATIONS (1993) (3)
- The Speed of Cornea1 Epithelial Wound Healing (1994) (3)
- The mean values of the Weierstrass elliptic function ℘: Theory and application (2013) (2)
- Does extracellular matrix mediated chemotaxis promote or impede cell migration (1998) (2)
- Mathematical modelling of signalling in Dictyostelium discoideum (1999) (2)
- Delayed induced silica defences in grasses and their potential for destabilising herbivore population dynamics (2012) (2)
- How Does Nonlocal Dispersal Affect the Selection and Stability of Periodic Traveling Waves? (2018) (2)
- Pattern Formation in Heterogeneous Domains (1993) (1)
- A Comparison of the “Reduced Losses” and “Increased Production” Models for Mussel Bed Dynamics (2021) (1)
- A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations (2015) (1)
- Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations (2012) (1)
- Healing by numbers: Mathematics medicine (2001) (1)
- Special Collection: Celebrating J.D. Murray’s Contributions to Mathematical Biology (2021) (0)
- A mathematical model for chemotactic movement and aggregation in cellular slime moulds (1994) (0)
- Absolute stability and dynamical stabilisation in predator-prey systems (2013) (0)
- Current Challenges for Mathematical Modelling of Cyclic Populations (2013) (0)
- Author ' s personal copy Numerical continuation methods for studying periodic travelling wave ( wavetrain ) solutions of partial differential equations (2011) (0)
- Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation (2022) (0)
- Modelling Actin Filament Alignment (1993) (0)
- populations by hostile boundaries Generation of periodic travelling waves in cyclic (2013) (0)
- Stability Switches in a Host–Pathogen Model as the Length of a Time Delay Increases (2013) (0)
- Book reviews (1997) (0)
- Healing by numbers: mathematics meets medicine. (2001) (0)
- Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal (2018) (0)
- Vegetation Patterns in Semi-Arid Environments (2011) (0)
- Time heals all wounds (1995) (0)
- Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns (2019) (0)
- Sherratt speeds patterns with the largest possible propagation banded vegetation in semi-arid environments II : Pattern solutions of the Klausmeier model for (2011) (0)
- When does colonisation of a semi-arid hillslope generate vegetation patterns? (2015) (0)
- A Mathematical Biologist’s Guide to Absolute and Convective Instability (2013) (0)
- A comparison of the dynamical impact of seasonal mechanisms in a herbivore–plant defence system (2012) (0)
- Spatio-temporal Models of Lymphangiogenesis in Wound Healing (2016) (0)
- WOUND HEALING IN CORNEAL EPITHELlUM 15 migration , proliferation and differentiation (2006) (0)
- Calculation of Periodic Travelling Wave Stability: A Users' Guide (2012) (0)
- A multiscale model for collagen alignment in wound healing (2004) (0)
- Large scale patterns in mussel beds: stripes or spots? (2018) (0)
- Mechanisms and Mathematical Models (2014) (0)
- Environmental instability in heterogeneous domains (1992) (0)
- Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator–prey model (2012) (0)
- Spatiotemporal Dynamics in Ecology: Insights from Physics (2009) (0)
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What Schools Are Affiliated With Jonathan A. Sherratt?
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