Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J. |
|
1995
|
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi |
|
2003
|
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J. |
|
1996
|
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M. |
|
1997
|
Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Zbl 0883.92014
Byrne, H. M.; Chaplain, M. A. J. |
|
1996
|
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J. |
|
1997
|
A two-phase model of solid tumour growth. Zbl 1040.92015
Byrne, H. M.; King, J. R.; McElwain, D. L. S.; Preziosi, L. |
|
2003
|
A cellular automaton model for tumour growth in inhomogeneous environment. Zbl 1464.92060
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2003
|
Individual-based and continuum models of growing cell populations: a comparison. Zbl 1311.92060
Byrne, Helen; Drasdo, Dirk |
|
2009
|
A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020
Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. |
|
1996
|
The role of cell-cell interactions in a two-phase model for avascular tumour growth. Zbl 1012.92017
Breward, C. J. W.; Byrne, H. M.; Lewis, C. E. |
|
2002
|
A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy. Zbl 0947.92013
Jackson, Trachette L.; Byrne, Helen M. |
|
2000
|
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J. |
|
1995
|
Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory. Zbl 1110.92016
Lemon, Greg; King, John R.; Byrne, Helen M.; Jensen, Oliver E.; Shakesheff, Kevin M. |
|
2006
|
A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion. Zbl 1001.92523
Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. |
|
1999
|
Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M. |
|
2009
|
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2005
|
A multiphase model describing vascular tumour growth. Zbl 1334.92190
Breward, Christopher J. W.; Byrne, Helen M.; Lewis, Claire E. |
|
2003
|
Modeling and analysis of a virus that replicates selectively in tumor cells. Zbl 1323.92112
Wu, Joseph T.; Byrne, Helen M.; Kirn, David H.; Wein, Lawrence M. |
|
2001
|
A weakly nonlinear analysis of a model of avascular solid tumour growth. Zbl 0981.92011
Byrne, Helen M. |
|
1999
|
Modelling the early growth of ductal carcinoma in situ of the breast. Zbl 1050.92030
Franks, S. J.; Byrne, H. M.; King, J. R.; Underwood, J. C. E.; Lewis, C. E. |
|
2003
|
Mathematical model of pulsed immunotherapy for superficial bladder cancer. Zbl 1147.92013
Bunimovich-Mendrazitsky, Svetlana; Byrne, Helen; Stone, Lewi |
|
2008
|
Modelling the internalization of labelled cells in tumour spheroids. Zbl 1323.92110
Thompson, K. E.; Byrne, H. M. |
|
1999
|
Mathematical modelling of comedo ductal carcinoma in situ of the breast. Zbl 1039.92021
Franks, S. J.; Byrne, H. M.; Mudhar, H. S.; Underwood, J. C. E.; Lewis, C. E. |
|
2003
|
A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113
Osborne, J. M.; Walter, A.; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M. |
|
2010
|
The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids. Zbl 0996.92013
Chen, C. Y.; Byrne, H. M.; King, J. R. |
|
2001
|
Multiphase modelling of vascular tumour growth in two spatial dimensions. Zbl 1397.92333
Hubbard, M. E.; Byrne, H. M. |
|
2013
|
Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites. Zbl 1439.92111
Owen, Markus R.; Byrne, Helen M.; Lewis, Claire E. |
|
2004
|
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John |
|
2012
|
Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023
Alarcón, Tomás; Owen, Markus R.; Byrne, Helen M.; Maini, Philip K. |
|
2006
|
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. |
|
2009
|
The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017
Byrne, H. M. |
|
1997
|
A mechanical model of tumor encapsulation and transcapsular spread. Zbl 1015.92020
Jackson, Trachette L.; Byrne, Helen M. |
|
2002
|
Topological chaos in inviscid and viscous mixers. Zbl 1064.76105
Finn, M. D.; Cox, S. M.; Byrne, H. M. |
|
2003
|
Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour. Zbl 0987.92019
Breward, C. J. W.; Byrne, H. M.; Lewis, C. E. |
|
2001
|
A mathematical model of the stress induced during avascular tumour growth. Zbl 0964.92025
Jones, A. F.; Byrne, H. M.; Gibson, J. S.; Dold, J. W. |
|
2000
|
A new interpretation of the keller-segel model based on multiphase modelling. Zbl 1055.92004
Byrne, Helen M.; Owen, Markus R. |
|
2004
|
A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. Zbl 1440.92011
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2004
|
Interactions between pattern formation and domain growth. Zbl 1296.92092
Neville, A. A.; Matthews, P. C.; Byrne, H. M. |
|
2006
|
Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011
Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R. |
|
2010
|
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2010
|
Modelling the response of spatially structured tumours to chemotherapy: drug kinetics. Zbl 1130.92033
Norris, E. S.; King, J. R.; Byrne, H. M. |
|
2006
|
Biological inferences from a mathematical model of comedo ductal carcinoma in situ of the breast. Zbl 1442.92031
Franks, Susan J.; Byrne, H. M.; Underwood, J. C. E.; Lewis, C. E. |
|
2005
|
Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M. |
|
2015
|
A two-fluid model for tissue growth within a dynamic flow environment. Zbl 1256.92015
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2008
|
Macrophage-tumour interactions: In vivo dynamics. Zbl 1055.34089
Byrne, H. M.; Cox, S. M.; Kelly, C. E. |
|
2004
|
A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061
O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. |
|
2015
|
A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049
Mirams, Gary R.; Fletcher, Alexander G.; Maini, Philip K.; Byrne, Helen M. |
|
2012
|
Mathematical modelling of angiogenesis in wound healing: Comparison of theory and experiment. Zbl 0964.92022
Byrne, H. M.; Chaplain, M. A. J.; Evans, D. L.; Hopkinson, I. |
|
2000
|
Macrophage-based anti-cancer therapy: Modelling different modes of tumour targeting. Zbl 1298.92054
Webb, Steven D.; Owen, Markus R.; Byrne, Helen M.; Murdoch, Craig; Lewis, Claire E. |
|
2007
|
Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038
Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K. |
|
2006
|
Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: a tutorial. Zbl 1372.92042
Collis, Joe; Connor, Anthony J.; Paczkowski, Marcin; Kannan, Pavitra; Pitt-Francis, Joe; Byrne, Helen M.; Hubbard, Matthew E. |
|
2017
|
A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. Zbl 1196.92006
Chauviere, A.; Preziosi, L.; Byrne, H. |
|
2010
|
Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds. Zbl 1202.92039
Flegg, Jennifer A.; Byrne, Helen M.; Mcelwain, D. L. Sean |
|
2010
|
The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions. Zbl 1300.92018
Dunster, J. L.; Byrne, H. M.; King, J. R. |
|
2014
|
Non-local models for the formation of hepatocyte-stellate cell aggregates. Zbl 1410.92025
Green, J. E. F.; Waters, S. L.; Whiteley, J. P.; Edelstein-Keshet, L.; Shakesheff, K. M.; Byrne, H. M. |
|
2010
|
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso |
|
2020
|
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M. |
|
2006
|
Wound healing angiogenesis: the clinical implications of a simple mathematical model. Zbl 1397.92324
Flegg, Jennifer A.; Byrne, Helen M.; Flegg, Mark B.; Sean McElwain, D. L. |
|
2012
|
The evolution of tumour composition during fractionated radiotherapy: implications for outcome. Zbl 1394.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. |
|
2018
|
The role of growth factors in avascular tumour growth. Zbl 0898.92018
Byrne, H. M.; Gourley, S. A. |
|
1997
|
Modelling avascular tumour growth. Zbl 1337.92101
Byrne, Helen M. |
|
2003
|
An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture. Zbl 1341.92007
Dyson, R. J.; Green, J. E. F.; Whiteley, J. P.; Byrne, H. M. |
|
2016
|
The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022
Betteridge, Russell; Owen, Markus R.; Byrne, Helen M.; Alarcón, Tomás; Maini, Philip K. |
|
2006
|
Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081
Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K. |
|
2007
|
Necrosis and apoptosis: Distinct cell loss mechanisms in a mathematical model of avascular tumour growth. Zbl 0917.92013
Byrne, H. M.; Chaplain, M. A. J. |
|
1998
|
An analysis of a mathematical model of trophoblast invasion. Zbl 0979.92017
Byrne, H. M.; Chaplain, M. A. J.; Pettet, G. J.; McElwain, D. L. S. |
|
2001
|
Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen |
|
2015
|
A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. |
|
2020
|
A multiple timescale analysis of a mathematical model of the Wnt/\(\beta\)-catenin signalling pathway. Zbl 1311.92094
Mirams, Gary R.; Byrne, Helen M.; King, John R. |
|
2010
|
Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations. Zbl 0858.92006
Gourley, S. A.; Britton, N. F.; Chaplain, M. A. J.; Byrne, H. M. |
|
1996
|
Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019
Byrne, Helen; Matthews, Paul |
|
2002
|
A mathematical model of trophoblast invasion. Zbl 0921.92014
Byrne, H. M.; Chaplain, M. A. J.; Pettet, G. J.; McElwain, D. L. S. |
|
1999
|
Using mathematics to study solid tumour growth. Zbl 1138.92342
Byrne, Helen |
|
2000
|
Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis. Zbl 0852.92009
Byrne, H. M.; Chaplain, M. A. J. |
|
1996
|
A theoretical study of the response of vascular tumours to different types of chemotherapy. Zbl 1148.92020
Panovska, Jasmina; Byrne, Helen M.; Maini, Philip K. |
|
2008
|
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso |
|
2020
|
Modelling macrophage infiltration into avascular tumours. Zbl 1050.92034
Kelly, C. E.; Leek, R. D.; Byrne, H. M.; Cox, S. M.; Harris, A. L.; Lewis, C. E. |
|
2002
|
Mixing measures for a two-dimensional chaotic Stokes flow. Zbl 1046.76010
Finn, M. D.; Cox, S. M.; Byrne, H. M. |
|
2004
|
Mathematical model for low density lipoprotein (LDL) endocytosis by hepatocytes. Zbl 1169.92032
Wattis, J. A. D.; O’Malley, B.; Blackburn, H.; Pickersgill, L.; Panovska, J.; Byrne, H. M.; Jackson, K. G. |
|
2008
|
Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis. Zbl 1390.92022
Lambert, Ben; MacLean, Adam L.; Fletcher, Alexander G.; Combes, Alexander N.; Little, Melissa H.; Byrne, Helen M. |
|
2018
|
A mathematical framework for developing freezing protocols in the cryopreservation of cells. Zbl 1437.80003
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J. |
|
2020
|
Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Zbl 1386.45010
Jain, Harsh Vardhan; Byrne, Helen M. |
|
2012
|
Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions. Zbl 1455.92031
Osojnik, Ana; Gaffney, Eamonn A.; Davies, Michael; Yates, James W. T.; Byrne, Helen M. |
|
2020
|
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 1503.74027
Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M. |
|
2020
|
A two-phase model of early fibrous cap formation in atherosclerosis. Zbl 1406.92123
Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R. |
|
2018
|
A mathematical model of liver cell aggregation in vitro. Zbl 1163.92013
Green, J. E. F.; Waters, S. L.; Shakesheff, K. M.; Byrne, H. M. |
|
2009
|
Stable solutions for a catalytic converter. Zbl 0805.35140
Byrne, Helen; Norbury, John |
|
1994
|
Elucidating the interactions between the adhesive and transcriptional functions of \(\beta\)-catenin in normal and cancerous cells. Zbl 1455.92042
van Leeuwen, Ingeborg M. M.; Byrne, Helen M.; Jensen, Oliver E.; King, John R. |
|
2007
|
A comparison of the roles of localised and nonlocalised growth factors in solid tumor growth. Zbl 0932.92018
Byrne, Helen M. |
|
1999
|
A mathematical model of antibody-dependent cellular cytotoxicity (ADCC). Zbl 1394.92058
Hoffman, F.; Gavaghan, D.; Osborne, J.; Barrett, I. P.; You, T.; Ghadially, H.; Sainson, R.; Wilkinson, R. W.; Byrne, Helen M. |
|
2018
|
Modelling scaffold occupation by a growing, nutrient-rich tissue. Zbl 1135.92010
Wilson, Duncan J.; King, John R.; Byrne, Helen M. |
|
2007
|
Mathematical modelling of competitive LDL/VLDL binding and uptake by hepatocytes. Zbl 1204.92042
Pearson, T.; Wattis, J. A. D.; O’Malley, B.; Pickersgill, L.; Blackburn, H.; Jackson, K. G.; Byrne, H. M. |
|
2009
|
Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis. Zbl 1352.92077
Byrne, Helen |
|
2009
|
Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages. Zbl 1406.92285
Boemo, Michael A.; Byrne, Helen M. |
|
2019
|
A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008
Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean |
|
2020
|
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. Zbl 1504.92032
Celora, Giulia L.; Byrne, Helen M.; Kevrekidis, P. G. |
|
2023
|
Chaotic advection in a braided pipe mixer. Zbl 1186.76173
Finn, Matthew D.; Cox, Stephen M.; Byrne, Helen M. |
|
2003
|
Retinal oxygen distribution and the role of neuroglobin. Zbl 1343.92114
Roberts, Paul A.; Gaffney, Eamonn A.; Luthert, Philip J.; Foss, Alexander J. E.; Byrne, Helen M. |
|
2016
|
Continuum models of avascular tumor growth. Zbl 1461.92015
Byrne, Helen M. |
|
2013
|
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. Zbl 1504.92032
Celora, Giulia L.; Byrne, Helen M.; Kevrekidis, P. G. |
|
2023
|
Macrophage anti-inflammatory behaviour in a multiphase model of atherosclerotic plaque development. Zbl 1512.92011
Ahmed, Ishraq U.; Byrne, Helen M.; Myerscough, Mary R. |
|
2023
|
Minimal morphoelastic models of solid tumour spheroids: a tutorial. Zbl 1512.92004
Walker, Benjamin J.; Celora, Giulia L.; Goriely, Alain; Moulton, Derek E.; Byrne, Helen M. |
|
2023
|
A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages. Zbl 1519.92039
Chambers, Keith L.; Myerscough, Mary R.; Byrne, Helen M. |
|
2023
|
Explicit physics-informed neural networks for nonlinear closure: the case of transport in tissues. Zbl 07524778
Taghizadeh, Ehsan; Byrne, Helen M.; Wood, Brian D. |
|
2022
|
Combining mechanisms of growth arrest in solid tumours: a mathematical investigation. Zbl 1497.92049
Colson, Chloé; Byrne, Helen M.; Maini, Philip K. |
|
2022
|
Structural features of microvascular networks trigger blood flow oscillations. Zbl 1497.92072
Ben-Ami, Y.; Atkinson, G. W.; Pitt-Francis, J. M.; Maini, P. K.; Byrne, H. M. |
|
2022
|
Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. Zbl 1470.92068
Celora, Giulia L.; Byrne, Helen M.; Zois, Christos E.; Kevrekidis, P. G. |
|
2021
|
A framework for performing data-driven modeling of tumor growth with radiotherapy treatment. Zbl 1460.92095
Cho, Heyrim; Lewis, Allison L.; Storey, Kathleen M.; Jennings, Rachel; Shtylla, Blerta; Reynolds, Angela M.; Byrne, Helen M. |
|
2021
|
Comparative analysis of continuum angiogenesis models. Zbl 1460.92032
Martinson, W. Duncan; Ninomiya, Hirokazu; Byrne, Helen Mary; Maini, Philip Kumar |
|
2021
|
A morphoelastic shell model of the eye. Zbl 1473.74097
Kimpton, L. S.; Walker, B. J.; Hall, C. L.; Bintu, B.; Crosby, D.; Byrne, H. M.; Goriely, A. |
|
2021
|
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso |
|
2020
|
A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. |
|
2020
|
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso |
|
2020
|
A mathematical framework for developing freezing protocols in the cryopreservation of cells. Zbl 1437.80003
Dalwadi, Mohit P.; Waters, Sarah L.; Byrne, Helen M.; Hewitt, Ian J. |
|
2020
|
Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions. Zbl 1455.92031
Osojnik, Ana; Gaffney, Eamonn A.; Davies, Michael; Yates, James W. T.; Byrne, Helen M. |
|
2020
|
Multiscale modelling and homogenisation of fibre-reinforced hydrogels for tissue engineering. Zbl 1503.74027
Chen, M. J.; Kimpton, L. S.; Whiteley, J. P.; Castilho, M.; Malda, J.; Please, C. P.; Waters, S. L.; Byrne, H. M. |
|
2020
|
A current perspective on wound healing and tumour-induced angiogenesis. Zbl 1432.92008
Flegg, Jennifer A.; Menon, Shakti N.; Byrne, Helen M.; McElwain, D. L. Sean |
|
2020
|
A multiphase model of growth factor-regulated atherosclerotic cap formation. Zbl 1448.92066
Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R. |
|
2020
|
Mathematical modelling of telomere length dynamics. Zbl 1434.35261
Wattis, Jonathan A. D.; Qi, Qi; Byrne, Helen M. |
|
2020
|
Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages. Zbl 1406.92285
Boemo, Michael A.; Byrne, Helen M. |
|
2019
|
Post-buckling behaviour of a growing elastic rod. Zbl 1411.35247
Almet, Axel A.; Byrne, Helen M.; Maini, Philip K.; Moulton, Derek E. |
|
2019
|
Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027
Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás |
|
2019
|
The evolution of tumour composition during fractionated radiotherapy: implications for outcome. Zbl 1394.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. |
|
2018
|
Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis. Zbl 1390.92022
Lambert, Ben; MacLean, Adam L.; Fletcher, Alexander G.; Combes, Alexander N.; Little, Melissa H.; Byrne, Helen M. |
|
2018
|
A two-phase model of early fibrous cap formation in atherosclerosis. Zbl 1406.92123
Watson, Michael G.; Byrne, Helen M.; Macaskill, Charlie; Myerscough, Mary R. |
|
2018
|
A mathematical model of antibody-dependent cellular cytotoxicity (ADCC). Zbl 1394.92058
Hoffman, F.; Gavaghan, D.; Osborne, J.; Barrett, I. P.; You, T.; Ghadially, H.; Sainson, R.; Wilkinson, R. W.; Byrne, Helen M. |
|
2018
|
Pattern formation in multiphase models of chemotactic cell aggregation. Zbl 1404.92035
Green, J. E. F.; Whiteley, J. P.; Oliver, J. M.; Byrne, H. M.; Waters, S. L. |
|
2018
|
The impact of exclusion processes on angiogenesis models. Zbl 1406.35160
Pillay, Samara; Byrne, Helen M.; Maini, Philip K. |
|
2018
|
A stochastic model for tumour control probability that accounts for repair from sublethal damage. Zbl 1404.92102
Ponce Bobadilla, Ana Victoria; Maini, Philip K.; Byrne, Helen |
|
2018
|
Inducing chondrogenesis in MSC/chondrocyte co-cultures using exogenous TGF-\(\beta\): a mathematical model. Zbl 1397.92079
Chen, Michael J.; Whiteley, Jonathan P.; Please, Colin P.; Schwab, Andrea; Ehlicke, Franziska; Waters, Sarah L.; Byrne, Helen M. |
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2018
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Bayesian calibration, validation and uncertainty quantification for predictive modelling of tumour growth: a tutorial. Zbl 1372.92042
Collis, Joe; Connor, Anthony J.; Paczkowski, Marcin; Kannan, Pavitra; Pitt-Francis, Joe; Byrne, Helen M.; Hubbard, Matthew E. |
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2017
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Mathematical models of retinitis pigmentosa: the oxygen toxicity hypothesis. Zbl 1381.92050
Roberts, Paul A.; Gaffney, Eamonn A.; Luthert, Philip J.; Foss, Alexander J. E.; Byrne, Helen M. |
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2017
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Mathematical modelling of cell layer growth in a hollow fibre bioreactor. Zbl 1369.92029
Chapman, Lloyd A. C.; Whiteley, Jonathan P.; Byrne, Helen M.; Waters, Sarah L.; Shipley, Rebecca J. |
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2017
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An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture. Zbl 1341.92007
Dyson, R. J.; Green, J. E. F.; Whiteley, J. P.; Byrne, H. M. |
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2016
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Retinal oxygen distribution and the role of neuroglobin. Zbl 1343.92114
Roberts, Paul A.; Gaffney, Eamonn A.; Luthert, Philip J.; Foss, Alexander J. E.; Byrne, Helen M. |
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2016
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From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations. Zbl 1350.92005
Guerrero, Pilar; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás |
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2016
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Vascular phenotype identification and anti-angiogenic treatment recommendation: a pseudo-multiscale mathematical model of angiogenesis. Zbl 1343.92226
Hutchinson, L. G.; Gaffney, E. A.; Maini, P. K.; Wagg, J.; Phipps, A.; Byrne, H. M. |
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2016
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Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M. |
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2015
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A multiscale analysis of nutrient transport and biological tissue growth in vitro. Zbl 1325.92061
O’Dea, R. D.; Nelson, M. R.; El Haj, A. J.; Waters, S. L.; Byrne, H. M. |
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2015
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Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen |
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2015
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A spatially-averaged mathematical model of kidney branching morphogenesis. Zbl 1343.92070
Zubkov, V. S.; Combes, A. N.; Short, K. M.; Lefevre, J.; Hamilton, N. A.; Smyth, I. M.; Little, M. H.; Byrne, H. M. |
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2015
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Models, measurement and inference in epithelial tissue dynamics. Zbl 1326.92016
Maclaren, Oliver J.; Byrne, Helen M.; Fletcher, Alexander G.; Maini, Philip K. |
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2015
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Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Zbl 1350.92018
Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K. |
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2015
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The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions. Zbl 1300.92018
Dunster, J. L.; Byrne, H. M.; King, J. R. |
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2014
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An ordinary differential equation model for full thickness wounds and the effects of diabetes. Zbl 1303.92041
Bowden, L. G.; Maini, P. K.; Moulton, D. E.; Tang, J. B.; Wang, X. T.; Liu, Paul Y.; Byrne, H. M. |
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2014
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Mathematical analysis of a model for the growth of the bovine corpus luteum. Zbl 1345.92055
Prokopiou, Sotiris A.; Byrne, Helen M.; Jeffrey, Mike R.; Robinson, Robert S.; Mann, George E.; Owen, Markus R. |
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2014
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Stochastic simulations of normal aging and Werner’s syndrome. Zbl 1298.92076
Qi, Qi; Wattis, Jonathan A. D.; Byrne, Helen M. |
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2014
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Multiphase modelling of vascular tumour growth in two spatial dimensions. Zbl 1397.92333
Hubbard, M. E.; Byrne, H. M. |
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2013
|
Continuum models of avascular tumor growth. Zbl 1461.92015
Byrne, Helen M. |
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2013
|
The interplay between tissue growth and scaffold degradation in engineered tissue constructs. Zbl 1278.92021
O’Dea, R. D.; Osborne, J. M.; El Haj, A. J.; Byrne, H. M.; Waters, S. L. |
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2013
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Calculus from the past: multiple delay systems arising in cancer cell modelling. Zbl 1312.34126
Wake, G. C.; Byrne, H. M. |
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2013
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The role of auxin and cytokinin signalling in specifying the root architecture of Arabidopsis thaliana. Zbl 1368.92071
Muraro, Daniele; Byrne, Helen; King, John; Bennett, Malcolm |
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2013
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Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John |
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2012
|
A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049
Mirams, Gary R.; Fletcher, Alexander G.; Maini, Philip K.; Byrne, Helen M. |
|
2012
|
Wound healing angiogenesis: the clinical implications of a simple mathematical model. Zbl 1397.92324
Flegg, Jennifer A.; Byrne, Helen M.; Flegg, Mark B.; Sean McElwain, D. L. |
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2012
|
Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Zbl 1386.45010
Jain, Harsh Vardhan; Byrne, Helen M. |
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2012
|
The influence of cytokinin-auxin cross-regulation on cell-fate determination in Arabidopsis thaliana root development. Zbl 1397.92294
Muraro, Daniele; Byrne, Helen; King, John; Voß, Ute; Kieber, Joseph; Bennett, Malcolm |
|
2011
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A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113
Osborne, J. M.; Walter, A.; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M. |
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2010
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Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011
Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R. |
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2010
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A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
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2010
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A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. Zbl 1196.92006
Chauviere, A.; Preziosi, L.; Byrne, H. |
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2010
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Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds. Zbl 1202.92039
Flegg, Jennifer A.; Byrne, Helen M.; Mcelwain, D. L. Sean |
|
2010
|
Non-local models for the formation of hepatocyte-stellate cell aggregates. Zbl 1410.92025
Green, J. E. F.; Waters, S. L.; Whiteley, J. P.; Edelstein-Keshet, L.; Shakesheff, K. M.; Byrne, H. M. |
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2010
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A multiple timescale analysis of a mathematical model of the Wnt/\(\beta\)-catenin signalling pathway. Zbl 1311.92094
Mirams, Gary R.; Byrne, Helen M.; King, John R. |
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2010
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Individual-based and continuum models of growing cell populations: a comparison. Zbl 1311.92060
Byrne, Helen; Drasdo, Dirk |
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2009
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Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M. |
|
2009
|
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. |
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2009
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A mathematical model of liver cell aggregation in vitro. Zbl 1163.92013
Green, J. E. F.; Waters, S. L.; Shakesheff, K. M.; Byrne, H. M. |
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2009
|
Mathematical modelling of competitive LDL/VLDL binding and uptake by hepatocytes. Zbl 1204.92042
Pearson, T.; Wattis, J. A. D.; O’Malley, B.; Pickersgill, L.; Blackburn, H.; Jackson, K. G.; Byrne, H. M. |
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2009
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Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis. Zbl 1352.92077
Byrne, Helen |
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2009
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Mathematical model of pulsed immunotherapy for superficial bladder cancer. Zbl 1147.92013
Bunimovich-Mendrazitsky, Svetlana; Byrne, Helen; Stone, Lewi |
|
2008
|
A two-fluid model for tissue growth within a dynamic flow environment. Zbl 1256.92015
O’Dea, R. D.; Waters, S. L.; Byrne, H. M. |
|
2008
|
A theoretical study of the response of vascular tumours to different types of chemotherapy. Zbl 1148.92020
Panovska, Jasmina; Byrne, Helen M.; Maini, Philip K. |
|
2008
|
Mathematical model for low density lipoprotein (LDL) endocytosis by hepatocytes. Zbl 1169.92032
Wattis, J. A. D.; O’Malley, B.; Blackburn, H.; Pickersgill, L.; Panovska, J.; Byrne, H. M.; Jackson, K. G. |
|
2008
|
Macrophage-based anti-cancer therapy: Modelling different modes of tumour targeting. Zbl 1298.92054
Webb, Steven D.; Owen, Markus R.; Byrne, Helen M.; Murdoch, Craig; Lewis, Claire E. |
|
2007
|
Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081
Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K. |
|
2007
|
Elucidating the interactions between the adhesive and transcriptional functions of \(\beta\)-catenin in normal and cancerous cells. Zbl 1455.92042
van Leeuwen, Ingeborg M. M.; Byrne, Helen M.; Jensen, Oliver E.; King, John R. |
|
2007
|
Modelling scaffold occupation by a growing, nutrient-rich tissue. Zbl 1135.92010
Wilson, Duncan J.; King, John R.; Byrne, Helen M. |
|
2007
|
Mathematical modeling of biological systems. Vol. I: Cellular biophysics, regulatory networks, development, biomedicine, and data analysis. Selected papers based on the presentations at the European conference on mathematical and theoretical biology, (ECMTB05), Dresden, Germany, July 2005. Zbl 1123.92001
|
|
2007
|
Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory. Zbl 1110.92016
Lemon, Greg; King, John R.; Byrne, Helen M.; Jensen, Oliver E.; Shakesheff, Kevin M. |
|
2006
|
Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023
Alarcón, Tomás; Owen, Markus R.; Byrne, Helen M.; Maini, Philip K. |
|
2006
|
Interactions between pattern formation and domain growth. Zbl 1296.92092
Neville, A. A.; Matthews, P. C.; Byrne, H. M. |
|
2006
|
Modelling the response of spatially structured tumours to chemotherapy: drug kinetics. Zbl 1130.92033
Norris, E. S.; King, J. R.; Byrne, H. M. |
|
2006
|
Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038
Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K. |
|
2006
|
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M. |
|
2006
|
The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022
Betteridge, Russell; Owen, Markus R.; Byrne, Helen M.; Alarcón, Tomás; Maini, Philip K. |
|
2006
|
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2005
|
Biological inferences from a mathematical model of comedo ductal carcinoma in situ of the breast. Zbl 1442.92031
Franks, Susan J.; Byrne, H. M.; Underwood, J. C. E.; Lewis, C. E. |
|
2005
|
Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites. Zbl 1439.92111
Owen, Markus R.; Byrne, Helen M.; Lewis, Claire E. |
|
2004
|
A new interpretation of the keller-segel model based on multiphase modelling. Zbl 1055.92004
Byrne, Helen M.; Owen, Markus R. |
|
2004
|
A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. Zbl 1440.92011
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2004
|
Macrophage-tumour interactions: In vivo dynamics. Zbl 1055.34089
Byrne, H. M.; Cox, S. M.; Kelly, C. E. |
|
2004
|
Mixing measures for a two-dimensional chaotic Stokes flow. Zbl 1046.76010
Finn, M. D.; Cox, S. M.; Byrne, H. M. |
|
2004
|
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi |
|
2003
|
A two-phase model of solid tumour growth. Zbl 1040.92015
Byrne, H. M.; King, J. R.; McElwain, D. L. S.; Preziosi, L. |
|
2003
|
A cellular automaton model for tumour growth in inhomogeneous environment. Zbl 1464.92060
Alarcón, T.; Byrne, H. M.; Maini, P. K. |
|
2003
|
A multiphase model describing vascular tumour growth. Zbl 1334.92190
Breward, Christopher J. W.; Byrne, Helen M.; Lewis, Claire E. |
|
2003
|
Modelling the early growth of ductal carcinoma in situ of the breast. Zbl 1050.92030
Franks, S. J.; Byrne, H. M.; King, J. R.; Underwood, J. C. E.; Lewis, C. E. |
|
2003
|
Mathematical modelling of comedo ductal carcinoma in situ of the breast. Zbl 1039.92021
Franks, S. J.; Byrne, H. M.; Mudhar, H. S.; Underwood, J. C. E.; Lewis, C. E. |
|
2003
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...and 42 more Documents |