Helen Byrne
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Professor of applied mathematics
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Mathematics
Helen Byrne's Degrees
- PhD Applied Mathematics University of Oxford
- Bachelors Mathematics University of Oxford
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Why Is Helen Byrne Influential?
(Suggest an Edit or Addition)According to Wikipedia, Helen M. Byrne is a mathematician based at the University of Oxford. She is Professor of Mathematical Biology in the university's Mathematical Institute and a Professorial Fellow in Mathematics at Keble College. Her work involves developing mathematical models to describe biomedical systems including tumours. She was awarded the 2019 Society for Mathematical Biology Leah Edelstein-Keshet Prize for exceptional scientific achievements and for mentoring other scientists and was appointed a Fellow of the Society in 2021.
Helen Byrne'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
- Mathematical Biology (2002) (579)
- Reinforcement of hydrogels using three-dimensionally printed microfibres (2015) (527)
- A cellular automaton model for tumour growth in inhomogeneous environment. (2003) (447)
- Modelling Solid Tumor Growth Using the Theory of Mixtures (2001) (434)
- Growth of nonnecrotic tumors in the presence and absence of inhibitors. (1995) (404)
- Dissecting cancer through mathematics: from the cell to the animal model (2010) (389)
- Individual-based and continuum models of growing cell populations: a comparison (2009) (293)
- Chaste: A test-driven approach to software development for biological modelling (2009) (265)
- Modelling the role of cell-cell adhesion in the growth and development of carcinomas (1996) (233)
- Angiogenesis and vascular remodelling in normal and cancerous tissues (2009) (221)
- A Multiple Scale Model for Tumor Growth (2005) (216)
- A two-phase model of solid tumour growth (2003) (211)
- Growth of necrotic tumors in the presence and absence of inhibitors. (1996) (210)
- A model of wound-healing angiogenesis in soft tissue. (1996) (191)
- A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy. (2000) (184)
- Multiscale Modelling of Vascular Tumour Growth in 3D: The Roles of Domain Size and Boundary Conditions (2011) (180)
- Free boundary value problems associated with the growth and development of multicellular spheroids (1997) (174)
- A multiphase model describing vascular tumour growth (2003) (170)
- The role of cell-cell interactions in a two-phase model for avascular tumour growth (2002) (165)
- An integrative computational model for intestinal tissue renewal (2009) (162)
- Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory (2006) (147)
- A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. (2004) (147)
- Biological inferences from a mathematical model for malignant invasion. (1996) (140)
- The effect of time delays on the dynamics of avascular tumor growth. (1997) (138)
- Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites. (2004) (133)
- A hybrid approach to multi-scale modelling of cancer (2010) (127)
- On the rôle of angiogenesis in wound healing (1996) (122)
- Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare? (2013) (119)
- Towards whole-organ modelling of tumour growth. (2004) (116)
- A blood atlas of COVID-19 defines hallmarks of disease severity and specificity (2021) (112)
- Modeling and analysis of a virus that replicates selectively in tumor cells (2001) (112)
- Crypt dynamics and colorectal cancer: advances in mathematical modelling (2006) (111)
- Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions (1995) (110)
- The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids (2001) (107)
- Extracellular matrix concentration exerts selection pressure on invasive cells. (1999) (102)
- Mathematical modeling predicts synergistic antitumor effects of combining a macrophage-based, hypoxia-targeted gene therapy with chemotherapy. (2011) (102)
- A mathematical model of the stress induced during avascular tumour growth (2000) (100)
- Integration of hormonal signaling networks and mobile microRNAs is required for vascular patterning in Arabidopsis roots (2013) (99)
- Modelling the early growth of ductal carcinoma in situ of the breast (2003) (92)
- Enabling multiscale modeling in systems medicine (2014) (90)
- Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy (2006) (89)
- A weakly nonlinear analysis of a model of avascular solid tumour growth (1999) (88)
- 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)
- Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions. (1995) (84)
- Mathematical Model of Pulsed Immunotherapy for Superficial Bladder Cancer (2008) (81)
- A mechanical model of tumor encapsulation and transcapsular spread. (2002) (79)
- Continuum approximations of individual-based models for epithelial monolayers. (2010) (75)
- A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. (2012) (74)
- Cell proliferation within small intestinal crypts is the principal driving force for cell migration on villi (2016) (73)
- Mathematical modelling of comedo ductal carcinoma in situ of the breast. (2003) (70)
- MODELLING THE RESPONSE OF VASCULAR TUMOURS TO CHEMOTHERAPY: A MULTISCALE APPROACH (2006) (69)
- Elucidating the interactions between the adhesive and transcriptional functions of beta-catenin in normal and cancerous cells. (2007) (67)
- Mesoscopic and continuum modelling of angiogenesis (2014) (65)
- Topological chaos in inviscid and viscous mixers (2003) (65)
- A new interpretation of the Keller-Segel model based on multiphase modelling (2004) (60)
- Biological inferences from a mathematical model of comedo ductal carcinoma in situ of the breast. (2005) (59)
- A multiple timescale analysis of a mathematical model of the Wnt/β-catenin signalling pathway (2010) (58)
- Density-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy (2012) (58)
- The importance of intercellular adhesion in the development of carcinomas. (1997) (58)
- Healthcare-associated infection in Irish long-term care facilities: results from the First National Prevalence Study. (2012) (58)
- The role of auxin and cytokinin signalling in specifying the root architecture of Arabidopsis thaliana. (2013) (57)
- A multiphase model for tissue construct growth in a perfusion bioreactor. (2010) (57)
- Modelling spatially regulated beta-catenin dynamics and invasion in intestinal crypts. (2010) (56)
- Multiphase modelling of vascular tumour growth in two spatial dimensions. (2013) (56)
- A Mechanistic Model of the Intravitreal Pharmacokinetics of Large Molecules and the Pharmacodynamic Suppression of Ocular Vascular Endothelial Growth Factor Levels by Ranibizumab in Patients with Neovascular Age-Related Macular Degeneration. (2016) (55)
- Modelling the response of spatially structured tumours to chemotherapy: Drug kinetics (2006) (54)
- Growth of confined cancer spheroids: a combined experimental and mathematical modelling approach. (2013) (53)
- 3D hybrid modelling of vascular network formation. (2016) (53)
- A Three Species Model to Simulate Application of Hyperbaric Oxygen Therapy to Chronic Wounds (2009) (51)
- Continuum Modelling of In Vitro Tissue Engineering: A Review (2012) (50)
- Modelling Avascular Tumour Growth (2003) (50)
- Elevated apoptosis impairs epithelial cell turnover and shortens villi in TNF-driven intestinal inflammation (2019) (50)
- Towards a multiscale model of colorectal cancer. (2007) (49)
- In vitro cell migration quantification method for scratch assays (2018) (48)
- Modelling the internalization of labelled cells in tumour spheroids (1999) (48)
- Ocular Pharmacokinetics of Therapeutic Antibodies Given by Intravitreal Injection: Estimation of Retinal Permeabilities Using a 3-Compartment Semi-Mechanistic Model. (2017) (47)
- Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour (2001) (47)
- A morphoelastic model for dermal wound closure (2016) (46)
- Mathematical Model of Hyperbaric Oxygen Therapy Applied to Chronic Diabetic Wounds (2010) (46)
- The influence of cytokinin-auxin cross-regulation on cell-fate determination in Arabidopsis thaliana root development. (2011) (46)
- Mathematical modelling reveals cellular dynamics within tumour spheroids (2020) (45)
- A Mathematical Model of Trophoblast Invasion (1999) (45)
- Macrophage-Based Anti-Cancer Therapy: Modelling Different Modes of Tumour Targeting (2007) (44)
- Modelling the Role of Angiogenesis and Vasculogenesis in Solid Tumour Growth (2007) (44)
- The Resolution of Inflammation: A Mathematical Model of Neutrophil and Macrophage Interactions (2014) (44)
- Non-local models for the formation of hepatocyte-stellate cell aggregates. (2010) (43)
- Wound healing angiogenesis: the clinical implications of a simple mathematical model. (2012) (41)
- Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis (2017) (41)
- Bayesian Calibration, Validation and Uncertainty Quantification for Predictive Modelling of Tumour Growth: A Tutorial (2017) (41)
- A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. (2010) (41)
- Mixing measures for a two-dimensional chaotic Stokes flow (2004) (41)
- The impact of cell crowding and active cell movement on vascular tumour growth (2006) (41)
- The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt (2016) (40)
- Chaste: Cancer, Heart and Soft Tissue Environment (2020) (39)
- A two-fluid model for tissue growth within a dynamic flow environment (2008) (39)
- Interactions Between Pattern Formation and Domain Growth (2006) (39)
- Toward a quantitative understanding of the Wnt/β‐catenin pathway through simulation and experiment (2013) (38)
- Mathematical Model for Low Density Lipoprotein (LDL) Endocytosis by Hepatocytes (2008) (38)
- A multiscale analysis of nutrient transport and biological tissue growth in vitro. (2015) (38)
- A design principle for vascular beds: the effects of complex blood rheology. (2005) (37)
- An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture (2016) (37)
- Systems biologists seek fuller integration of systems biology approaches in new cancer research programs. (2010) (37)
- Parameter-free methods distinguish Wnt pathway models and guide design of experiments (2014) (37)
- Retinal oxygen distribution and the role of neuroglobin (2016) (36)
- The influence of bioreactor geometry and the mechanical environment on engineered tissues. (2010) (36)
- Hydrodynamic dispersion within porous biofilms. (2013) (34)
- Asymmetric growth of models of avascular solid tumours: exploiting symmetries. (2002) (33)
- Colorectal cancer through simulation and experiment. (2013) (33)
- Mathematical and computational models of the retina in health, development and disease (2016) (33)
- Hybrid approaches for multiple-species stochastic reaction–diffusion models (2015) (32)
- The Evolution of Tumour Composition During Fractionated Radiotherapy: Implications for Outcome (2017) (31)
- Necrosis and Apoptosis: Distinct Cell Loss Mechanisms in a Mathematical Model of Avascular Tumour Growth (1998) (30)
- A Mathematical Model of Liver Cell Aggregation In Vitro (2009) (30)
- An integrated approach to quantitative modelling in angiogenesis research (2015) (29)
- Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis (1995) (29)
- The interplay between tissue growth and scaffold degradation in engineered tissue constructs (2013) (29)
- Theoretical Insights into the Retinal Dynamics of Vascular Endothelial Growth Factor in Patients Treated with Ranibizumab, Based on an Ocular Pharmacokinetic/Pharmacodynamic Model. (2018) (29)
- The role of growth factors in avascular tumour growth (1997) (28)
- USING MATHEMATICS TO STUDY SOLID TUMOUR GROWTH (2001) (28)
- Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors (2021) (28)
- Macrophage-tumour interactions: in vivo dynamics (2003) (27)
- Optimising Cell Aggregate Expansion in a Perfused Hollow Fibre Bioreactor via Mathematical Modelling (2014) (27)
- Biphasic behaviour in malignant invasion. (2006) (25)
- On-lattice agent-based simulation of populations of cells within the open-source Chaste framework (2013) (25)
- A theoretical study of the response of vascular tumours to different types of chemotherapy (2008) (24)
- Abnormal morphology biases hematocrit distribution in tumor vasculature and contributes to heterogeneity in tissue oxygenation (2019) (24)
- A mathematical model of cytotoxic and helper T cell interactions in a tumour microenvironment (2018) (24)
- Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-β: a mathematical model (2017) (24)
- A Mathematical Dissection of the Adaptation of Cell Populations to Fluctuating Oxygen Levels (2019) (23)
- The mathematical modelling of wound healing and tumour growth: two sides of the same coin (1996) (22)
- Predicting the Influence of Microvascular Structure On Tumor Response to Radiotherapy (2017) (22)
- Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia (2001) (22)
- Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments (2019) (22)
- 20 Mathematical modelling of angiogenesis and vascular adaptation1 (2005) (22)
- Microvessel Chaste: An Open Library for Spatial Modeling of Vascularized Tissues (2017) (22)
- Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering (2017) (21)
- Modeling angiogenesis: A discrete to continuum description. (2017) (21)
- Mathematical Modelling of Angiogenesis in Wound Healing: Comparison of Theory and Experiment (2000) (21)
- A mathematical model of antibody-dependent cellular cytotoxicity (ADCC). (2018) (20)
- Boolean Modelling Reveals New Regulatory Connections between Transcription Factors Orchestrating the Development of the Ventral Spinal Cord (2014) (20)
- Chaotic advection in a braided pipe mixer (2003) (19)
- An analysis of a mathematical model of trophoblast invasion (2001) (19)
- Mathematical biomedicine and modeling avascular tumor growth (2012) (19)
- The effect of chemotaxis and chemokinesis on leukocyte locomotion: a new interpretation of experimental results. (1998) (19)
- Infection, inflammation and intervention: mechanistic modelling of epithelial cells in COVID-19 (2021) (18)
- Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer (2021) (17)
- A hierarchical Bayesian model for understanding the spatiotemporal dynamics of the intestinal epithelium (2017) (17)
- Models, measurement and inference in epithelial tissue dynamics. (2015) (17)
- Mathematical modelling of catalytic converters (1993) (16)
- A two-phase model of early fibrous cap formation in atherosclerosis. (2018) (16)
- A three phase model to investigate the effects of dead material on the growth of avascular tumours (2020) (16)
- Impact of current smoking and alcohol consumption on gastrostomy duration in patients with head and neck cancer undergoing definitive chemoradiotherapy. (2015) (16)
- An online mindfulness-based intervention for undergraduate pharmacy students: Results of a mixed-methods feasibility study. (2019) (16)
- A spatially-averaged mathematical model of kidney branching morphogenesis. (2015) (16)
- A multiscale model of complex endothelial cell dynamics in early angiogenesis (2020) (15)
- Mathematical Modeling of Biological Systems, Volume I (2008) (15)
- Exploiting the Synergy between Carboplatin and ABT-737 in the Treatment of Ovarian Carcinomas (2014) (15)
- Impact of a mindfulness-based intervention on undergraduate pharmacy students' stress and distress: Quantitative results of a mixed-methods study. (2019) (15)
- Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis (2021) (14)
- MODELLING SCAFFOLD OCCUPATION BY A GROWING, NUTRIENT-RICH TISSUE (2007) (14)
- The importance of dead material within a tumour on the dynamics in response to radiotherapy (2020) (14)
- A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis (2020) (14)
- Mathematical modelling of competitive LDL/VLDL binding and uptake by hepatocytes (2008) (14)
- Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations (1996) (14)
- Modeling perspectives on the intestinal crypt, a canonical system for growth, mechanics, and remodeling (2020) (13)
- An ordinary differential equation model for full thickness wounds and the effects of diabetes. (2014) (13)
- Combining multiple spatial statistics enhances the description of immune cell localisation within tumours (2020) (13)
- Modelling Macrophage Infiltration into Avascular Tumours (2002) (13)
- Mathematical and Statistical Techniques for Systems Medicine: The Wnt Signaling Pathway as a Case Study. (2015) (12)
- From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations (2016) (12)
- A national survey of infection control and antimicrobial stewardship structures in Irish long-term care facilities. (2013) (12)
- Stable Solutions for a Catalytic Converter (1994) (12)
- Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages (2019) (12)
- Mathematical Modelling of Angiogenesis and Vascular Adaptation (2006) (12)
- Modelling Spatially Regulated -Catenin Dynamics and Invasion inIntestinal Crypts (2010) (11)
- Efferocytosis perpetuates substance accumulation inside macrophage populations (2019) (11)
- Post-buckling behaviour of a growing elastic rod (2018) (11)
- A multi-scale model of the interplay between cell signalling and hormone transport in specifying the root meristem of Arabidopsis thaliana. (2016) (11)
- The risk of SARS-CoV-2 outbreaks in low prevalence settings following the removal of travel restrictions (2021) (11)
- A Biomechanical Model of Tumor-induced Intracranial Pressure and Edema in Brain Tissue (2018) (11)
- Comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments. (2020) (11)
- Decomposing the Parameter Space of Biological Networks via a Numerical Discriminant Approach (2016) (11)
- Identifying chondrogenesis strategies for tissue engineering of articular cartilage (2019) (11)
- The Hallmarks of Mathematical Oncology (2022) (11)
- Heat or mass transfer at low Péclet number for Brinkman and Darcy flow round a sphere (2014) (10)
- Multiscale Topology Characterises Dynamic Tumour Vascular Networks (2020) (10)
- Interspecific Variation in One-Carbon Metabolism within the Ovarian Follicle, Oocyte, and Preimplantation Embryo: Consequences for Epigenetic Programming of DNA Methylation (2021) (10)
- Vascular phenotype identification and anti-angiogenic treatment recommendation: A pseudo-multiscale mathematical model of angiogenesis. (2016) (10)
- Mathematical modelling of cell layer growth in a hollow fibre bioreactor. (2017) (10)
- The impact of exclusion processes on angiogenesis models (2018) (10)
- DNA charge neutralization by linear polymers. II. Reversible binding. (2006) (10)
- Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis (2009) (9)
- Techniques for analysing pattern formation in populations of stem cells and their progeny (2011) (9)
- Towards a multiscale model of colorectal cancer (2006) (9)
- Multiscale topology characterizes dynamic tumor vascular networks (2022) (9)
- A lipid-structured model for macrophage populations in atherosclerotic plaques. (2019) (9)
- A Mathematical Framework for Developing Freezing Protocols in the Cryopreservation of Cells (2020) (9)
- Mathematical Modelling Plant Signalling Networks (2013) (8)
- DNA charge neutralization by linear polymers: irreversible binding. (2006) (8)
- Qualitative analysis of an integro-differential equation model of periodic chemotherapy (2012) (8)
- Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis (2007) (8)
- Object-Oriented Paradigms for Modelling Vascular Tumour Growth: A Case Study (2012) (8)
- Mathematical models of retinitis pigmentosa: The oxygen toxicity hypothesis. (2017) (8)
- Predictive Mathematical Models for the Spread and Treatment of Hyperoxia-induced Photoreceptor Degeneration in Retinitis Pigmentosa. (2018) (8)
- An integrative biological approach to the analysis of tissue culture data: application to the antitumour agent RHPS4. (2011) (8)
- A Framework for Performing Data-Driven Modeling of Tumor Growth with Radiotherapy Treatment (2020) (7)
- Irish National Diabetic RetinaScreen Programme: report on five rounds of retinopathy screening and screen-positive referrals. (INDEAR study report no. 1) (2020) (7)
- A comparison of the roles of localised and nonlocalised growth factors in solid tumour growth (1999) (7)
- The role of mechanics in the growth and homeostasis of the intestinal crypt (2020) (7)
- Opportunities for quantitative translational modelling in Oncology. (2020) (7)
- Mathematical modelling of stretch-induced membrane traffic in bladder umbrella cells. (2016) (7)
- A lipid-structured model for macrophage populations in atherosclerotic plaques (2019) (7)
- Validity of the Cauchy-Born rule applied to discrete cellular-scale models of biological tissues. (2013) (7)
- Topological Methods for Characterising Spatial Networks: A Case Study in Tumour Vasculature (2019) (7)
- Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion (2021) (7)
- Optimisation of simulations of stochastic processes by removal of opposing reactions. (2016) (6)
- Chronic TNFα-driven injury delays cell migration to villi in the intestinal epithelium (2018) (6)
- Particle trapping by an external body force in the limit of large Peclet number: applications to magnetic targeting in the blood flow (2010) (6)
- A stochastic model for tumour control probability that accounts for repair from sublethal damage. (2018) (6)
- Radiation resistant cancer cells enhance the survival and resistance of sensitive cells in prostate spheroids (2019) (6)
- Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem (2015) (6)
- Topology Characterises Tumour Vasculature (2019) (6)
- The importance of constitutive equations in mechanochemical models of pattern formation (1996) (6)
- Computational horizons in cancer (CHIC): Developing meta- and hyper-multiscale models and repositories for in Silico Oncology - A brief technical outline of the project (2014) (6)
- Continuous Indexing of Fibrosis (CIF): improving the assessment and classification of MPN patients (2022) (5)
- Oncological and functional outcomes of transoral surgery for the treatment of oropharyngeal cancer (2015) (5)
- Reactions, diffusion, and volume exclusion in a conserved system of interacting particles. (2017) (5)
- The Evolution of Tumour Composition During Fractionated Radiotherapy: Implications for Outcome (2018) (5)
- Travelling combustion waves in porous media (1992) (5)
- Multiscale Modelling of Solid Tumour Growth (2008) (5)
- A multiphase model of growth factor-regulated atherosclerotic cap formation (2019) (5)
- Unraveling the Control of Cell Cycle Periods during Intestinal Stem Cell Differentiation. (2018) (5)
- Porous Medium Combustion (1990) (5)
- Inference of the Genetic Network Regulating Lateral Root Initiation in Arabidopsis thaliana (2013) (5)
- The importance of geometry in the corneal micropocket angiogenesis assay (2018) (5)
- Quantification of vascular networks in photoacoustic mesoscopy (2021) (5)
- Modeling stem/progenitor cell-induced neovascularization and oxygenation around solid implants. (2012) (4)
- 3D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth (2013) (4)
- Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments (2019) (4)
- Pattern formation in multiphase models of chemotactic cell aggregation. (2018) (4)
- Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions. (2019) (4)
- Mathematical modelling of vascular tumour growth and implications for therapy (2007) (4)
- Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. (2021) (4)
- Modelling fluid and nutrient transport to determine the influence of cell seeding on the growth of cell aggregates on a permeable membrane (2012) (4)
- Early gene regulation of osteogenesis in embryonic stem cells. (2012) (4)
- Three-dimensional biological cultures and organoids (2020) (4)
- Mathematical analysis of a model for the growth of the bovine corpus luteum (2014) (4)
- Multiscale modeling of colonic crypts and early colorectal cancer (2010) (4)
- Microvessel Chaste: An Open Library for Spatial Modelling of Vascularized Tissues (2017) (4)
- Structural Adaptation in Normal and Cancerous Vasculature (2007) (4)
- Age Structure Can Account for Delayed Logistic Proliferation of Scratch Assays (2019) (4)
- Talent Management and Succession Planning, human resources strategies to avoid a skills gap forming during a recessional climate (2013) (3)
- Proliferation Saturation Index Predicts Oropharyngeal Squamous Cell Cancer Gross Tumor Volume Reduction to Prospectively Identify Patients for Adaptive Radiation Therapy (2016) (3)
- A DNA-structured mathematical model of cell-cycle progression in cyclic hypoxia (2021) (3)
- 12.1 Continuum Models of Avascular Tumor Growth (2012) (3)
- Accounting for cross-immunity can improve forecast accuracy during influenza epidemics (2020) (3)
- Explicit physics-informed neural networks for nonlinear closure: The case of transport in tissues (2021) (3)
- Heat or mass transfer from a sphere in Stokes flow at low Péclet number (2013) (3)
- TOWARDS A MINIMAL ADMISSIBLE MODEL OF SOLID TUMOUR SPHEROID GROWTH (2022) (3)
- CALCULUS FROM THE PAST: MULTIPLE DELAY SYSTEMS ARISING IN CANCER CELL MODELLING (2013) (3)
- Undergraduate pharmacy students' experiences of a mindfulness-based intervention. (2019) (3)
- Designing experimental conditions to use the Lotka-Volterra model to infer tumor cell line interaction types. (2022) (3)
- Constructing custom-made radiotranscriptomic signatures of vascular inflammation from routine CT angiograms: a prospective outcomes validation study in COVID-19 (2022) (3)
- DNA-structured mathematical model of cell-cycle progression in cyclic hypoxia. (2022) (3)
- From Cells to Organisms: Current Topics in Mathematical and Theoretical Biology (2010) (2)
- Modelling spatially regulated B-catenin dynamics & invasion in intestinal crypts (2010) (2)
- A shell model of eye growth and elasticity (2020) (2)
- Mathematical Models of Hepatic Lipoprotein Metabolism (2015) (2)
- Enabling multiscale modeling in systems medicine: From reactions in cells to organ physiology (2014) (2)
- Global convergence in a reaction-diffusion equation with piecewise constant argument (2001) (2)
- Cancer disease: integrative modelling approaches (2006) (2)
- Exclusion in a Heterogeneous System of Interacting Particles (2017) (2)
- A Morphoelastic Shell Model of the Eye (2021) (2)
- Modelling multiscale aspects of colorectal cancer (2008) (2)
- Mathematical modelling of telomere length dynamics (2019) (2)
- Evaluating snail-trail frameworks for leader-follower behavior with agent-based modeling. (2020) (2)
- Combining Mechanisms of Growth Arrest in Solid Tumours: A Mathematical Investigation (2022) (2)
- Bayesian Calibration, Validation and Uncertainty Quantification for Predictive Modelling of Tumour Growth: A Tutorial (2017) (2)
- Detecting Temporal shape changes with the Euler Characteristic Transform (2022) (2)
- Comparative analysis of continuum angiogenesis models (2021) (2)
- A Systematically Reduced Mathematical Model for Organoid Expansion (2021) (2)
- A mathematical model for cell infiltration and proliferation in a chondral defect. (2017) (2)
- Existence and uniqueness results on biphasic mixture model for an in-vivo tumor (2021) (2)
- Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. (2021) (2)
- Simulating tumour vasculature at multiple scales (2014) (2)
- Mathematical modelling of telomere length dynamics (2019) (1)
- Number 12 / 08 Qualitative Analysis of an Integro-Differential Equation Model of Periodic Chemotherapy by Harsh (2012) (1)
- Remedi: A research consortium applying engineering strategies to establish regenerative medicine as a new industry (2009) (1)
- Multiscale Methods for Signal Selection in Single-Cell Data (2022) (1)
- Algebra, Geometry and Topology of ERK Kinetics (2021) (1)
- Using mathematical modelling to identify data requirements for increased prediction accuracy in radiotherapy (2022) (1)
- Stochastic Simulations of Normal Aging and Werner’s Syndrome (2014) (1)
- An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture (2015) (1)
- Singular travelling waves in a model for tumour encapsulation (2009) (1)
- Eect of Fibrinogen E-fragment on Tumour Growth (2000) (1)
- Interval cancer audit and disclosure in cervical screening programmes: An international survey (2021) (1)
- Macrophage Anti-inflammatory Behaviour in a Multiphase Model of Atherosclerotic Plaque Development (2022) (1)
- Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration. (2022) (1)
- The interplay between tissue growth and scaffold degradation in engineered tissue constructs (2012) (1)
- Theoretical Insights Into the Retinal Dynamics of VEGF in Patients Treated with Ranibizumab, Based on an Ocular Pharmacokinetic/Pharmacodynamic Model (2018) (1)
- The effects of radiation on combustion in porous media (1996) (1)
- Systems biologists hope for a full integration of their field into cancer research. (2010) (1)
- A Mathematical Dissection of the Adaptation of Cell Populations to Fluctuating Oxygen Levels (2020) (1)
- Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis (2018) (1)
- What is the biologically relevant KD for VEGF binding to ranibizumab in the eye? A comparison of in-vivo and in-vitro estimates. (2016) (1)
- A hierarchical Bayesian framework for understanding the spatiotemporal dynamics of the intestinal epithelium (2016) (1)
- P29.07 Laboratory diagnosis and typing of Clostridium difficile in the Republic of Ireland: an updated survey of Irish hospitals (2010) (1)
- In vitro and in silico approaches to engineering three-dimensional biological tissues and organoids (2022) (1)
- IT innovation to improve participation in cervical screening with CervicalCheck, the National Cervical Screening Programme (2017) (1)
- Systems cell biology (2016) (0)
- Hypoxia-Targeted Gene Therapy with Chemotherapy Effects of Combining a Macrophage-Based, Mathematical Modeling Predicts Synergistic Antitumor (2011) (0)
- Predicting The Influence of Microvascular Structure On Tumour Response to Radiotherapy (2016) (0)
- Number 10 / 54 Modeling the growth of multicellular cancer spheroids in a bioengineered 3 D microenvironment and their treatment with an anti-cancer drug by (2010) (0)
- Growth of confined cancer spheroids : a combined experimental marker, critical modelling approach (2013) (0)
- University of Birmingham Mathematical and computational models of the retina in health, development and disease (2016) (0)
- Stochastic Modelling of Gene Regulatory Mechanisms in PTEN Dynamics: Does Space Matter? (2014) (0)
- European Communications in Mathematical and Theoretical Biology July 2010 , No . 12 E MTB Communications (2010) (0)
- Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour (2022) (0)
- The Resolution of Inflammation: A Mathematical Model of Neutrophil and Macrophage Interactions (2014) (0)
- O'Dea, Reuben D. and Waters, Sarah L. and Byrne, Helen M. (2010) A multiphase model for tissue construct growth in a perfusion bioreactor. Mathematical Medicine (2017) (0)
- The influence of cytokinin-auxin cross-regulation on cell-fate determination in root development (2020) (0)
- 3 D Vascular Network Formation 1 3 D Hybrid Modelling of Vascular Network Formation (2016) (0)
- What Determines the Retinal Concentration of an Intravitreally Injected Antibody? New Insights Using a 3-Compartment Semi-Mechanistic Pharmacokinetic Model (2017) (0)
- A Multiscale Hypermodel to Predict the Nephroblastoma Response to Preoperative Chemotherapy (2016) (0)
- Methods, acknowledgments and supplementary material (2019) (0)
- 1 Flow and Transport in the Placenta (2001) (0)
- TOPOLOGICAL CHAOS IN SIMPLE MIXERS (2004) (0)
- Mathematical modelling in tissue engineering (2003) (0)
- Supporting material : Modelling spatially regulated β-catenin dynamics and invasion in intestinal crypts (2010) (0)
- Stochastic Simulations of Normal Aging and Werner’s Syndrome (2014) (0)
- Radiologically inserted gastrostomy tubes in head and neck cancer patients – demographics, treatment modality and complication rates – our experience over three years in 101 consecutive cases (2015) (0)
- MACROPHAGES AND TUMOURS: FRIENDS OR FOE? (2010) (0)
- From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations (2015) (0)
- Macrophage sensitivity to microenvironmental cues influences spatial heterogeneity of tumours (2022) (0)
- Correction: Continuous Indexing of Fibrosis (CIF): improving the assessment and classification of MPN patients (2023) (0)
- Number 12 / 21 Multiphase modelling of vascular tumour growth in two spatial dimensions by (2012) (0)
- Mesoscopic and continuum modelling of angiogenesis (2014) (0)
- A mathematical model for single-cell cryopreservation (2020) (0)
- Vascular Tissue Modelling Environment (2012) (0)
- A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages. (2022) (0)
- Post-buckling behaviour of a growing elastic rod (2018) (0)
- Mathematical Modeling of Biological Systems (2007) (0)
- 440 POSTER Integrative biological studies of antitumour agents (2008) (0)
- A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis (2020) (0)
- Unbiased single cell spatial analysis localises inflammatory clusters of immature neutrophils-CD8 T cells to alveolar progenitor cells in fatal COVID-19 lungs (2022) (0)
- 3D modelling of angiogenesis and vascular tumour growth (2011) (0)
- The importance of geometry in the corneal micropocket assay (2017) (0)
- Multiscale Modeling of Cell Interaction in Angiogenesis: From the Micro- to Macro-scale (2016) (0)
- A morphoelastic model for dermal wound closure (2015) (0)
- Statistical and Topological Summaries Aid Disease Detection for Segmented Retinal Vascular Images (2022) (0)
- Influence of Cell Seeding and Fluid Flow on Cell Aggregate Growth in Hollow Fibre Bioreactors (2013) (0)
- Modeling the growth of multicellular cancer spheroids in abioengineered 3D microenvironment and their treatment with ananti-cancer drug (2010) (0)
- The shape of cancer relapse: Topological data analysis predicts recurrence in paediatric acute lymphoblastic leukaemia (2021) (0)
- Chronic inflammation delays cell migration to villi in the intestinal epithelium (2018) (0)
- AM AAV 2 Mediated Expression of Intraceptor Flt 23 k Shows No Endoplasmic Reticulum Stress Response (2016) (0)
- An ordinary di ff erential equation model for full thickness wounds and the e ff ects of diabetes (2014) (0)
- Cancer modelling: Getting to the heart of the problem (2004) (0)
- Reciprocal interactions between tumour cell populations enhance growth and reduce radiation sensitivity in prostate cancer (2021) (0)
- Catalytic converters and porous medium combustion (2020) (0)
- Post-buckling behaviour of a planar morphoelastic rod on a foundation (2018) (0)
- New Results - Tissue growth, regeneration and cell movment (2008) (0)
- Mathematical modeling of a hypoxia-regulated enclitic virus delivered by tumor-associated macrophages (2019) (0)
- Mathematical modelling of vascular tumours and implications for therapy (2007) (0)
- A multi-phase model for the growth of a bone tissue construct subject to dynamic culture conditions (2006) (0)
- 309 POSTER A systems biology approach to the analysis of DNA-interactive antitumour agents (2006) (0)
- Age-structure as key to delayed logistic proliferation of scratch assays (2019) (0)
- Mathematical modeling of the intervertebral disc nutritional transport (2005) (0)
- A mathematical framework for developing freezing protocols in cryopreservation (2019) (0)
- Dependence of cell-free-layer width on rheological parameters: Combining empirical data on flow separation at microvascular bifurcations with geometrical considerations. (2022) (0)
- Using peptidomics and machine learning techniques to predict mortality of patients with septic shock (2018) (0)
- Maternity Strategy Implementation Steering Group (MSISG) Notes of a Meeting of the MSISG held on Monday 3 September 2007 at 2:00 pm In the Conference Room, Dalian House, NHS Greater Glasgow & Clyde (2007) (0)
- MULTISCALE MODELING AND SIMULATION OF TRAVELING WAVES IN BIOLOGY: A REVIEW (2019) (0)
- Test methods for collagen peptide (1998) (0)
- Mathematical Models of Retinal Degeneration (2014) (0)
- Interval cancer audit and disclosure in breast screening programmes: An international survey (2022) (0)
- Structural Features of Microvascular Networks Trigger Blood Flow Oscillations (2022) (0)
- Maternity Strategy Implementation Steering Group (MSISG) Notes of a Meeting of the MSISG held on Wednesday 19 March 2008 at 2:00 pm In the Boardroom, Dalian House, NHS Greater Glasgow & Clyde (2008) (0)
- An investigation of the different modalities of schooling and their implications for health education (2016) (0)
- Mo1602 INTERNATIONAL SURVEY OF INTERVAL CANCER AUDIT AND DISCLOSURE IN BOWEL SCREENING: NEED FOR INTERNATIONAL CONSENSUS ON KPIS AND AUDIT PROCESS (2020) (0)
- Elevated apoptosis impairs epithelial cell turnover and shortens villi in TNF-driven intestinal inflammation (2019) (0)
- Fibre-reinforced hydrogels for tissue engineering (2017) (0)
- Modelling longitudinal preclinical tumour size data to identify transient dynamics in tumour response to anti-angiogenic drugs (2016) (0)
- A target-cell limited model can reproduce influenza infection dynamics in hosts with differing immune responses. (2023) (0)
- Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial (2022) (0)
- Two phase model to study the correlation between brain tumor growth rate and the formation of peritumoral edema (2018) (0)
- A mathematical model of the use of supplemental oxygen to combat surgical site infection. (2019) (0)
- Mathematical analysis of a model for the growth of the bovine corpus luteum (2013) (0)
- Retinal oxygen distribution and the role of neuroglobin (2015) (0)
- Age Structure Can Account for Delayed Logistic Proliferation of Scratch Assays (2019) (0)
- Quantification of spatial and phenotypic heterogeneity in an agent-based model of tumour-macrophage interactions (2023) (0)
- Mathematical modelling of the oxidation of nickel titanium alloys (2003) (0)
- Impact of current smoking and alcohol on gastrostomy duration in patients with head and neck cancer undergoing definitive chemoradiotherapy (2015) (0)
- A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability (2021) (0)
- Multiscale analysis of morphogenesis (2015) (0)
- Solute transport within porous biofilms: diffusion or dispersion? (2012) (0)
- Number 09 / 14 Chaste : a test-driven approach to software development for physiological modelling (2009) (0)
- The impact of exclusion processes on angiogenesis models (2018) (0)
- Structural Features of Microvascular Networks Trigger Blood Flow Oscillations (2022) (0)
- Infection, inflammation, and intervention: mechanistic modelling of epithelial cells in COVID-19 Supplementary Information (2020) (0)
- DifFUZZY : a novel clustering algorithm for systems biology (2012) (0)
- Modelling aspects of vascular cancer development (2006) (0)
- Investigating the influence of growth arrest mechanisms on tumour responses to radiotherapy (2023) (0)
- A note on heat and mass transfer from a sphere in Stokesflow at low Péclet number (2012) (0)
- Report in the inter-hospitals referrals and the co-ordination and sharing of information. (2003) (0)
- European Communications in Mathematical and Theoretical Biology February 2008 , No . 10 E MTB Communications (2008) (0)
- Title: Quantification of vascular networks in photoacoustic mesoscopy (2021) (0)
- Report Number 12/09 Modeling Stem/Progenitor Cell-Induced Neovascularization and Oxygenation around Solid Implants by (2012) (0)
- Microbial communities forming green-coloured spots in tombs of the Necropolis of Carmona ( Seville , Spain ) (2006) (0)
- Flow and Transport in the Placenta (2015) (0)
- O'Dea, Reuben D. and Nelson, Martin, R. and El Haj, A. and Waters, Sarah L. and Byrne, Helen M. (2014) A multiscale analysis of nutrient transport and biological tissue growth in vitro. Mathematical Medicine and Biology . ISSN 1477-8599 (2017) (0)
- Modelling of Angiogenesis and Vascular Tumour Growth (2011) (0)
- Chapter 3 3 D Multiscale Modelling of Angiogenesis and Vascular Tumour Growth (2012) (0)
- European Communications in Mathematical and Theoretical Biology May 2009 , No . 11 E MTB Communications (2004) (0)
- The Importance of Const i tu t ive Equat ions in Mechanochemica l Models of Pat tern Format ion (0)
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