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Byrne, Helen Mary

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Author ID: byrne.helen-m Recent zbMATH articles by "Byrne, Helen Mary"
Published as: Byrne, H. M.; Byrne, Helen M.; Byrne, Helen; Byrne, H.; Byrne, Helen Mary
External Links: MGP
Documents Indexed: 147 Publications since 1990, including 1 Book
all top 5

Co-Authors

10 single-authored
30 Maini, Philip Kumar
15 King, John Robert
14 Waters, Sarah Louise
13 Chaplain, Mark A. J.
12 Alarcón, Tomás
10 Lewis, Claire E.
10 Owen, Markus Roger
9 Mcelwain, D. L. Sean
9 Norbury, John W.
8 Whiteley, Jonathan P.
5 Cox, Stephen M.
5 Fletcher, Alexander G.
4 Flegg, Jennifer A.
4 Gaffney, Eamonn A.
4 Green, J. Edward F.
4 Jensen, Oliver E.
4 Mirams, Gary R.
4 O’Dea, Reuben D.
4 Osborne, James M.
4 Wattis, Jonathan A. D.
3 Bennett, Malcolm J.
3 Breward, Christopher J. W.
3 Finn, Matthew D.
3 Franks, Susan J.
3 Gavaghan, David J.
3 Gourley, Stephen A.
3 Guerrero, Pilar
3 Moulton, Derek E.
3 Muraro, Daniele
3 Pettet, Graham J.
3 Preziosi, Luigi
3 Shakesheff, Kevin M.
3 Underwood, J. C. E.
2 Anderson, Alexander R. A.
2 Ardaševa, Aleksandra
2 Chauvière, Arnaud
2 Combes, Alexander N.
2 Ehlicke, Franziska
2 El Haj, A. J.
2 Enderling, Heiko
2 Flegg, Mark B.
2 Foss, Alexander J. E.
2 Gatenby, Robert A.
2 Hubbard, Matthew E.
2 Jackson, Kim G.
2 Jackson, Trachette L.
2 Kelly, C. E.
2 Kimpton, Laura S.
2 Lewin, Thomas D.
2 Little, Melissa H.
2 Lorenzi, Tommaso
2 Luthert, Philip J.
2 Macaskill, Charlie
2 Martinson, W. Duncan
2 Moros, Eduardo G.
2 Myerscough, Mary R.
2 O’Malley, B. J.
2 Panovska, Jasmina
2 Pathmanathan, Pras
2 Pickersgill, L.
2 Pitt-Francis, Joe
2 Please, Colin P.
2 Ponce Bobadilla, Ana Victoria
2 Qi, Qi
2 Roberts, Paul A.
2 Schwab, Andrea
2 Spill, Fabian
2 Van Leeuwen, Ingeborg M. M.
2 Walter, Alex
2 Watson, Michael G.
1 Almet, Axel A.
1 Apodaca, G.
1 Barrett, I. P.
1 Bell, Christopher G.
1 Bernabeu, Miguel O.
1 Betteridge, Russell
1 Bintu, B.
1 Boemo, Michael A.
1 Bordas, Rafel
1 Bowden, L. G.
1 Britton, Nicholas Ferris
1 Brusch, Lutz
1 Bunimovich-Mendrazitsky, Svetlana
1 Burrage, Kevin
1 Carraro, Thomas
1 Cave, G.
1 Celora, Giulia L.
1 Chapman, Lloyd A. C.
1 Chapman, Stephen Jonathan
1 Chen, Michael J.
1 Cho, Heyrim
1 Collis, Joe
1 Connor, Anthony J.
1 Cooper, Jonathan E.
1 Cristini, Vittorio
1 Dalwadi, Mohit P.
1 de Vries, Gerda
1 Deutsch, Andreas
1 Drasdo, Dirk
1 Duc, K. Dao
...and 81 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 1,859 times in 926 Documents Cited by Year
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
152
1995
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
121
1996
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi
121
2003
The effect of time delays on the dynamics of avascular tumor growth. Zbl 0904.92023
Byrne, H. M.
69
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.
62
1996
A two-phase model of solid tumour growth. Zbl 1040.92015
Byrne, H. M.; King, J. R.; McElwain, D. L. S.; Preziosi, L.
62
2003
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
59
1997
Individual-based and continuum models of growing cell populations: a comparison. Zbl 1311.92060
Byrne, Helen; Drasdo, Dirk
53
2009
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.
49
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.
46
2000
A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020
Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J.
45
1996
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
42
1995
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
39
2005
Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M.
39
2009
A multiphase model describing vascular tumour growth. Zbl 1334.92190
Breward, Christopher J. W.; Byrne, Helen M.; Lewis, Claire E.
38
2003
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.
35
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.
32
1999
A weakly nonlinear analysis of a model of avascular solid tumour growth. Zbl 0981.92011
Byrne, Helen M.
31
1999
Modelling the internalization of labelled cells in tumour spheroids. Zbl 1323.92110
Thompson, K. E.; Byrne, H. M.
30
1999
Mathematical model of pulsed immunotherapy for superficial bladder cancer. Zbl 1147.92013
Bunimovich-Mendrazitsky, Svetlana; Byrne, Helen; Stone, Lewi
29
2008
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.
28
2001
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.
25
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.
23
2010
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.
22
2003
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.
21
2001
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.
21
2006
A new interpretation of the keller-segel model based on multiphase modelling. Zbl 1055.92004
Byrne, Helen M.; Owen, Markus R.
19
2004
Topological chaos in inviscid and viscous mixers. Zbl 1064.76105
Finn, M. D.; Cox, S. M.; Byrne, H. M.
18
2003
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.
18
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.
17
2010
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.
16
2000
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.
16
2009
Multiphase modelling of vascular tumour growth in two spatial dimensions. Zbl 1397.92333
Hubbard, M. E.; Byrne, H. M.
15
2013
Modelling the response of spatially structured tumours to chemotherapy: drug kinetics. Zbl 1130.92033
Norris, E. S.; King, J. R.; Byrne, H. M.
15
2006
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.
14
2008
A mechanical model of tumor encapsulation and transcapsular spread. Zbl 1015.92020
Jackson, Trachette L.; Byrne, Helen M.
13
2002
The importance of intercellular adhesion in the development of carcinomas. Zbl 0891.92017
Byrne, H. M.
13
1997
Interactions between pattern formation and domain growth. Zbl 1296.92092
Neville, A. A.; Matthews, P. C.; Byrne, H. M.
13
2006
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.
12
2001
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.
12
2012
A multiphase model for tissue construct growth in a perfusion bioreactor. Zbl 1190.92008
O’Dea, R. D.; Waters, S. L.; Byrne, H. M.
12
2010
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.
11
2000
A mathematical model of trophoblast invasion. Zbl 0921.92014
Byrne, H. M.; Chaplain, M. A. J.; Pettet, G. J.; McElwain, D. L. S.
11
1999
Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M.
11
2015
Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds. Zbl 1202.92039
Flegg, Jennifer A.; Byrne, Helen M.; Mcelwain, D. L. Sean
11
2010
The role of growth factors in avascular tumour growth. Zbl 0898.92018
Byrne, H. M.; Gourley, S. A.
10
1997
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.
10
1998
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.
10
2007
Macrophage-tumour interactions: In vivo dynamics. Zbl 1055.34089
Byrne, H. M.; Cox, S. M.; Kelly, C. E.
9
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.
9
2015
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M.
9
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.
8
2012
Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen
8
2015
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.
8
2017
Modelling avascular tumour growth. Zbl 1337.92101
Byrne, Helen M.
8
2003
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.
8
2007
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.
8
2006
A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. Zbl 1196.92006
Chauviere, A.; Preziosi, L.; Byrne, H.
8
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.
7
2010
Explicit solutions of a simplified model of capillary sprout growth during tumor angiogenesis. Zbl 0852.92009
Byrne, H. M.; Chaplain, M. A. J.
7
1996
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.
7
2002
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.
7
1996
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.
7
2010
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.
7
2008
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.
6
2018
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
6
2020
Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019
Byrne, Helen; Matthews, Paul
6
2002
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.
6
2001
Mixing measures for a two-dimensional chaotic Stokes flow. Zbl 1046.76010
Finn, M. D.; Cox, S. M.; Byrne, H. M.
6
2004
The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions. Zbl 1300.92018
Dunster, J. L.; Byrne, H. M.; King, J. R.
6
2014
Using mathematics to study solid tumour growth. Zbl 1138.92342
Byrne, Helen
5
2000
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.
5
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
4
2020
A comparison of the roles of localised and nonlocalised growth factors in solid tumor growth. Zbl 0932.92018
Byrne, Helen M.
4
1999
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.
4
2016
Modelling scaffold occupation by a growing, nutrient-rich tissue. Zbl 1135.92010
Wilson, Duncan J.; King, John R.; Byrne, Helen M.
4
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.
4
2009
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.
4
2009
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.
3
2004
The impact of exclusion processes on angiogenesis models. Zbl 1406.35160
Pillay, Samara; Byrne, Helen M.; Maini, Philip K.
3
2018
Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis. Zbl 1352.92077
Byrne, Helen
3
2009
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.
3
2013
Stable solutions for a catalytic converter. Zbl 0805.35140
Byrne, Helen; Norbury, John
3
1994
Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis. Zbl 0832.92008
Byrne, H. M.; Chaplain, M. A. J.
3
1995
The effect of chemotaxis and chemokinesis on leukocyte locomotion: A new interpretation of experimental results. Zbl 0908.92018
Byrne, H. M.; Cave, G.; McElwain, D. L. S.
3
1998
Chaotic advection in a braided pipe mixer. Zbl 1186.76173
Finn, Matthew D.; Cox, Stephen M.; Byrne, Helen M.
3
2003
Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Zbl 1386.45010
Jain, Harsh Vardhan; Byrne, Helen M.
3
2012
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
3
2016
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.
3
2014
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
2
2011
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
2
2020
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
2
2019
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.
2
2018
Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages. Zbl 1406.92285
Boemo, Michael A.; Byrne, Helen M.
2
2019
Calculus from the past: multiple delay systems arising in cancer cell modelling. Zbl 1312.34126
Wake, G. C.; Byrne, H. M.
2
2013
The importance of constitutive equations in mechanochemical models of pattern formation. Zbl 0862.92003
Byrne, H. M.; Chaplain, M. A. J.
2
1996
Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia. Zbl 1323.92102
Gammack, D.; Byrne, H. M.; Lewis, C. E.
2
2001
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.
2
2014
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.
2
2016
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.
2
2018
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
6
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
4
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
2
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.
1
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.
1
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.
1
2020
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
2
2019
Mathematical modelling of a hypoxia-regulated oncolytic virus delivered by tumour-associated macrophages. Zbl 1406.92285
Boemo, Michael A.; Byrne, Helen M.
2
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.
6
2018
The impact of exclusion processes on angiogenesis models. Zbl 1406.35160
Pillay, Samara; Byrne, Helen M.; Maini, Philip K.
3
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.
2
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.
2
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.
1
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.
1
2018
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.
8
2017
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.
1
2017
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.
4
2016
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
3
2016
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.
2
2016
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.
1
2016
Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M.
11
2015
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.
9
2015
Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen
8
2015
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.
1
2015
Models, measurement and inference in epithelial tissue dynamics. Zbl 1326.92016
Maclaren, Oliver J.; Byrne, Helen M.; Fletcher, Alexander G.; Maini, Philip K.
1
2015
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.
1
2015
The resolution of inflammation: a mathematical model of neutrophil and macrophage interactions. Zbl 1300.92018
Dunster, J. L.; Byrne, H. M.; King, J. R.
6
2014
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.
3
2014
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.
2
2014
Stochastic simulations of normal aging and Werner’s syndrome. Zbl 1298.92076
Qi, Qi; Wattis, Jonathan A. D.; Byrne, Helen M.
1
2014
Multiphase modelling of vascular tumour growth in two spatial dimensions. Zbl 1397.92333
Hubbard, M. E.; Byrne, H. M.
15
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.
3
2013
Calculus from the past: multiple delay systems arising in cancer cell modelling. Zbl 1312.34126
Wake, G. C.; Byrne, H. M.
2
2013
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
1
2013
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.
12
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.
8
2012
Qualitative analysis of an integro-differential equation model of periodic chemotherapy. Zbl 1386.45010
Jain, Harsh Vardhan; Byrne, Helen M.
3
2012
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
1
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
2
2011
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.
23
2010
Continuum approximations of individual-based models for epithelial monolayers. Zbl 1184.92011
Fozard, J. A.; Byrne, H. M.; Jensen, O. E.; King, J. R.
17
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.
12
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
11
2010
A model of cell migration within the extracellular matrix based on a phenotypic switching mechanism. Zbl 1196.92006
Chauviere, A.; Preziosi, L.; Byrne, H.
8
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.
7
2010
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.
7
2010
Individual-based and continuum models of growing cell populations: a comparison. Zbl 1311.92060
Byrne, Helen; Drasdo, Dirk
53
2009
Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M.
39
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.
16
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.
4
2009
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.
4
2009
Mathematical modelling of solid tumour growth: from avascular to vascular, via angiogenesis. Zbl 1352.92077
Byrne, Helen
3
2009
Mathematical model of pulsed immunotherapy for superficial bladder cancer. Zbl 1147.92013
Bunimovich-Mendrazitsky, Svetlana; Byrne, Helen; Stone, Lewi
29
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.
14
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.
7
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.
5
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.
10
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.
8
2007
Modelling scaffold occupation by a growing, nutrient-rich tissue. Zbl 1135.92010
Wilson, Duncan J.; King, John R.; Byrne, Helen M.
4
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.
35
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.
21
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.
18
2006
Modelling the response of spatially structured tumours to chemotherapy: drug kinetics. Zbl 1130.92033
Norris, E. S.; King, J. R.; Byrne, H. M.
15
2006
Interactions between pattern formation and domain growth. Zbl 1296.92092
Neville, A. A.; Matthews, P. C.; Byrne, H. M.
13
2006
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M.
9
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.
8
2006
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
39
2005
A new interpretation of the keller-segel model based on multiphase modelling. Zbl 1055.92004
Byrne, Helen M.; Owen, Markus R.
19
2004
Macrophage-tumour interactions: In vivo dynamics. Zbl 1055.34089
Byrne, H. M.; Cox, S. M.; Kelly, C. E.
9
2004
Mixing measures for a two-dimensional chaotic Stokes flow. Zbl 1046.76010
Finn, M. D.; Cox, S. M.; Byrne, H. M.
6
2004
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.
3
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.
1
2004
Modelling solid tumour growth using the theory of mixtures. Zbl 1046.92023
Byrne, Helen; Preziosi, Luigi
121
2003
A two-phase model of solid tumour growth. Zbl 1040.92015
Byrne, H. M.; King, J. R.; McElwain, D. L. S.; Preziosi, L.
62
2003
A multiphase model describing vascular tumour growth. Zbl 1334.92190
Breward, Christopher J. W.; Byrne, Helen M.; Lewis, Claire E.
38
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.
25
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.
22
2003
Topological chaos in inviscid and viscous mixers. Zbl 1064.76105
Finn, M. D.; Cox, S. M.; Byrne, H. M.
18
2003
Modelling avascular tumour growth. Zbl 1337.92101
Byrne, Helen M.
8
2003
Chaotic advection in a braided pipe mixer. Zbl 1186.76173
Finn, Matthew D.; Cox, Stephen M.; Byrne, Helen M.
3
2003
A cellular automaton model for tumour growth in inhomogeneous environment. Zbl 1464.92060
Alarcón, T.; Byrne, H. M.; Maini, P. K.
1
2003
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.
49
2002
A mechanical model of tumor encapsulation and transcapsular spread. Zbl 1015.92020
Jackson, Trachette L.; Byrne, Helen M.
13
2002
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.
7
2002
Asymmetric growth of models of avascular solid tumours: exploiting symmetries. Zbl 1014.92019
Byrne, Helen; Matthews, Paul
6
2002
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.
28
2001
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.
21
2001
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.
12
2001
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.
6
2001
Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia. Zbl 1323.92102
Gammack, D.; Byrne, H. M.; Lewis, C. E.
2
2001
Global convergence in a reaction-diffusion equation with piecewise constant argument. Zbl 0988.35079
Byrne, H. M.; Gourley, S. A.
1
2001
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.
46
2000
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.
16
2000
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.
11
2000
Using mathematics to study solid tumour growth. Zbl 1138.92342
Byrne, Helen
5
2000
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.
32
1999
A weakly nonlinear analysis of a model of avascular solid tumour growth. Zbl 0981.92011
Byrne, Helen M.
31
1999
Modelling the internalization of labelled cells in tumour spheroids. Zbl 1323.92110
Thompson, K. E.; Byrne, H. M.
30
1999
A mathematical model of trophoblast invasion. Zbl 0921.92014
Byrne, H. M.; Chaplain, M. A. J.; Pettet, G. J.; McElwain, D. L. S.
11
1999
A comparison of the roles of localised and nonlocalised growth factors in solid tumor growth. Zbl 0932.92018
Byrne, Helen M.
4
1999
...and 18 more Documents
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Cited by 1,557 Authors

62 Byrne, Helen Mary
30 Chaplain, Mark A. J.
30 Maini, Philip Kumar
30 Xu, Shihe
25 Friedman, Avner
23 Cui, Shangbin
17 Simpson, Matthew J.
16 King, John Robert
16 Wu, Junde
14 Hu, Bei
14 Lorenzi, Tommaso
14 Lowengrub, John Samuel
14 Waters, Sarah Louise
12 Mcelwain, D. L. Sean
11 Perthame, Benoît
11 Whiteley, Jonathan P.
10 Anderson, Alexander R. A.
10 Bai, Meng
10 Preziosi, Luigi
10 Tao, Youshan
9 Alarcón, Tomás
9 Bellomo, Nicola
9 Fletcher, Alexander G.
9 Foryś, Urszula
9 Gandolfi, Alberto
9 O’Dea, Reuben D.
9 Osborne, James M.
9 Painter, Kevin J.
9 Sherratt, Jonathan A.
9 Zhou, Fujun
8 Cristini, Vittorio
8 Eftimie, Raluca
8 Gaffney, Eamonn A.
8 Owen, Markus Roger
8 Zhang, Fangwei
7 Ambrosi, Davide
7 Deutsch, Andreas
7 Drasdo, Dirk
7 Fasano, Antonio
7 Guo, Qian
7 Kuang, Yang
7 McCue, Scott William
7 Oden, John Tinsley
7 Trucu, Dumitru
7 Vauchelet, Nicolas
7 Xu, Yongzhi S.
6 Baker, Ruth Elizabeth
6 Delitala, Marcello
6 Escher, Joachim
6 Flegg, Jennifer A.
6 Gerisch, Alf
6 Lam, Kei Fong
6 Landman, Kerry A.
6 Piotrowska, Monika Joanna
6 Ptashnyk, Mariya
6 Wattis, Jonathan A. D.
6 Wei, Hsiu-Chuan
5 Bertuzzi, Alessandro
5 Bodnar, Marek
5 Bunimovich-Mendrazitsky, Svetlana
5 Degond, Pierre
5 Eslahchi, Mohammad Reza
5 Esmaili, Sakine
5 Frieboes, Hermann B.
5 Garcke, Harald
5 Gatenby, Robert A.
5 Gerlee, Philip
5 Green, J. Edward F.
5 Hao, Wenrui
5 Hubbard, Matthew E.
5 Khajanchi, Subhas
5 Kim, Yangjin
5 Li, Heng
5 Penta, Raimondo
5 Pettet, Graeme John
5 Please, Colin P.
5 Rejniak, Katarzyna A.
5 Tindall, Marcus J.
5 Wang, Zhian
5 Wei, Xuemei
5 Zhou, Jianrong
4 Aihara, Kazuyuki
4 Bajzer, Željko
4 Ben Amar, Martine
4 Billy, Frédérique
4 Browning, Alexander P.
4 Chapman, Stephen Jonathan
4 Colin, Thierry
4 Collis, Joe
4 Dey, Bibaswan
4 Dingli, David
4 d’Onofrio, Alberto
4 Dyson, Rosemary J.
4 Enderling, Heiko
4 Evje, Steinar
4 Flegg, Mark B.
4 Gavaghan, David J.
4 Goriely, Alain
4 Gourley, Stephen A.
4 Grillo, Alfio
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Cited in 164 Serials

142 Journal of Theoretical Biology
97 Bulletin of Mathematical Biology
52 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
50 Journal of Mathematical Biology
39 Mathematical Biosciences
33 Mathematical and Computer Modelling
27 Nonlinear Analysis. Real World Applications
20 Journal of Mathematical Analysis and Applications
18 Journal of Differential Equations
17 Mathematical Biosciences and Engineering
16 Computers & Mathematics with Applications
15 Mathematical Modelling of Natural Phenomena
14 SIAM Journal on Applied Mathematics
14 Computational & Mathematical Methods in Medicine
12 Discrete and Continuous Dynamical Systems. Series B
9 International Journal of Engineering Science
9 Applied Mathematics and Computation
9 Journal of Biological Dynamics
8 Physica D
7 Computer Methods in Applied Mechanics and Engineering
7 Journal of Computational Physics
7 Mathematical Methods in the Applied Sciences
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Applied Mathematics Letters
7 Chaos
6 Applicable Analysis
6 Physics of Fluids
6 International Journal of Biomathematics
5 Archive for Rational Mechanics and Analysis
5 Chaos, Solitons and Fractals
5 Transactions of the American Mathematical Society
5 European Journal of Applied Mathematics
5 Applied Mathematical Modelling
5 Abstract and Applied Analysis
5 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Engineering Mathematics
4 Journal of Fluid Mechanics
4 Journal of Scientific Computing
4 SIAM Journal on Mathematical Analysis
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Computational and Applied Mathematics
4 The ANZIAM Journal
4 Multiscale Modeling & Simulation
3 Journal of the Mechanics and Physics of Solids
3 Nonlinearity
3 Journal of Computational and Applied Mathematics
3 Mathematics and Computers in Simulation
3 Acta Applicandae Mathematicae
3 Communications in Partial Differential Equations
3 Journal of Nonlinear Science
3 SIAM Journal on Scientific Computing
3 Interfaces and Free Boundaries
3 Journal of Biological Systems
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Archives of Computational Methods in Engineering
3 Discrete and Continuous Dynamical Systems. Series S
3 Kinetic and Related Models
2 International Journal for Numerical Methods in Fluids
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Physica A
2 Applied Mathematics and Optimization
2 International Journal for Numerical Methods in Engineering
2 Meccanica
2 Quarterly of Applied Mathematics
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Applied Numerical Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Journal of Elasticity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Computer and Systems Sciences International
2 Complexity
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Mathematical Population Studies
2 Mathematics and Mechanics of Solids
2 Nonlinear Dynamics
2 Mathematical and Computer Modelling of Dynamical Systems
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Fluid Mechanics
2 Journal of Applied Mathematics
2 Advances in Complex Systems
2 Computational Methods and Function Theory
2 Journal of Applied Mathematics and Computing
2 Boundary Value Problems
2 Networks and Heterogeneous Media
2 International Journal of Differential Equations
2 International Journal for Numerical Methods in Biomedical Engineering
2 Philosophical Transactions A. Royal Society of London
1 Acta Mechanica
1 Computer Physics Communications
1 Fluid Dynamics
1 International Journal of Control
1 International Journal of Heat and Mass Transfer
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Transport Theory and Statistical Physics
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Cited in 38 Fields

817 Biology and other natural sciences (92-XX)
455 Partial differential equations (35-XX)
118 Numerical analysis (65-XX)
95 Ordinary differential equations (34-XX)
92 Fluid mechanics (76-XX)
54 Mechanics of deformable solids (74-XX)
44 Dynamical systems and ergodic theory (37-XX)
32 Systems theory; control (93-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
22 Computer science (68-XX)
18 Probability theory and stochastic processes (60-XX)
17 Statistics (62-XX)
16 Statistical mechanics, structure of matter (82-XX)
10 Classical thermodynamics, heat transfer (80-XX)
7 Functions of a complex variable (30-XX)
7 Integral equations (45-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of particles and systems (70-XX)
3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
1 Combinatorics (05-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

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