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Chaplain, Mark A. J.

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Author ID: chaplain.mark-a-j Recent zbMATH articles by "Chaplain, Mark A. J."
Published as: Chaplain, M. A. J.; Chaplain, Mark A. J.; Chaplain, Mark; Chaplain, Mark A.
Homepage: http://www.mcs.st-andrews.ac.uk/~majc/
External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 163 Publications since 1990, including 5 Books
all top 5

Co-Authors

4 single-authored
33 Xu, Rui
27 Davidson, Fordyce A.
19 Anderson, Alexander R. A.
13 Byrne, Helen Mary
13 Lorenzi, Tommaso
9 McDougall, Steven R.
8 Gerisch, Alf
8 Trucu, Dumitru
7 Hubbard, Stephen F.
7 Schofield, Pietà G.
5 Chen, Lansun
5 Matzavinos, Anastasios
5 Stéphanou, Angélique
4 Domschke, Pia
4 Orme, Michelle E.
4 Sleeman, Brian D.
4 Sturrock, Marc
3 Burgess, Andrew E. F.
3 Enderling, Heiko
3 Feltham, Daniel L.
3 Franssen, Linnea C.
3 Gourley, Stephen A.
3 Lolas, Georgios
3 Lowengrub, John Samuel
3 Macfarlane, Fiona R.
3 Macnamara, Cicely K.
3 Maini, Philip Kumar
3 Preziosi, Luigi
3 Sherratt, Jonathan A.
3 Szymańska, Zuzanna
3 Thompson, Alastair M.
3 Valenciano, José
3 Villa, Chiara
2 Andasari, Vivi
2 Bellomo, Nicola
2 Bitsouni, Vasiliki
2 Cristini, Vittorio
2 Devlin, A. H.
2 Eftimie, Raluca
2 Gordon, Kirsty E.
2 Hill, Lydia A.
2 Kuznetsov, Vladimir A.
2 Lachowicz, Mirosław
2 Lin, Ping
2 Liu, Sijia
2 Lorz, Alexander
2 Marciniak-Czochra, Anna K.
2 Mcelwain, D. L. Sean
2 Mitchell, C. A.
2 Mitchell, Elaine I.
2 Munro, Alastair J.
2 Panetta, John Carl
2 Pearce, Ian G.
2 Pettet, Graham J.
2 Powathil, Gibin G.
2 Sfakianakis, Nikolaos I.
2 Stuart, Andrew M.
2 Terry, Alan J.
2 Tracqui, Philippe
2 Vaidya, Jayant S.
2 Venkataraman, Chandrasekhar
1 Adam, John A.
1 Aldakheel, Sahar
1 Aubert, M.
1 Banerjee, Sayanti
1 Benson, Debbie L.
1 Bingham, Richard
1 Crawford, John W.
1 Cytowski, Maciej
1 De Angelis, Elena
1 Dettmann, Carl P.
1 Dosi, Giovanni
1 El Akili, I.
1 Evans, Diane L.
1 Forni, Guido
1 Frieboes, Hermann B.
1 Giles, Susan M.
1 Giverso, Chiara
1 Graham, Ivan G.
1 Graziano, L.
1 Griffiths, David F.
1 Hellander, Andreas
1 Hodgkinson, Arran
1 Hofer, Thomas
1 Hopkinson, I.
1 James, Z. H.
1 Jarvis, R. J.
1 Joshi, Badal
1 Kapelyukh, Yury
1 Keener, James P.
1 Knopoff, Damian A.
1 Laín, S.
1 Lejeune, Olivier
1 Lewis, Mark Alun
1 Macklin, Paul
1 Madzvamuse, Anotida
1 McLachlan, J. C.
1 Métevier, D.
1 Montes, P. C.
1 Morales-Rodrigo, Cristian
...and 38 more Co-Authors
all top 5

Serials

20 Journal of Theoretical Biology
14 Bulletin of Mathematical Biology
13 Journal of Mathematical Biology
12 Applied Mathematics and Computation
12 Mathematical and Computer Modelling
9 Applied Mathematics Letters
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Mathematical Biosciences
6 IMA Journal of Mathematics Applied in Medicine and Biology
5 Journal of Theoretical Medicine
5 Mathematical Modelling of Natural Phenomena
4 Journal of Mathematical Analysis and Applications
4 Mathematical Medicine and Biology
2 Applicable Analysis
2 IMA Journal of Applied Mathematics
2 SIAM Journal on Applied Mathematics
2 Multiscale Modeling & Simulation
2 Mathematical Biosciences and Engineering
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Statistical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Chaos, Solitons and Fractals
1 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 European Journal of Applied Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Communications on Applied Nonlinear Analysis
1 Differential Equations and Dynamical Systems
1 Vietnam Journal of Mathematics
1 Journal of Biological Systems
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Functional Analysis and Applications
1 Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Forma
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Lecture Notes in Mathematics
1 IAS/Park City Mathematics Series
1 Networks and Heterogeneous Media
1 Modeling and Simulation in Science, Engineering and Technology

Publications by Year

Citations contained in zbMATH Open

137 Publications have been cited 2,881 times in 1,511 Documents Cited by Year
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
209
1998
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
150
1995
Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039
Chaplain, M. A. J.; Lolas, G.
129
2005
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
121
1996
Mathematical modelling of tumour invasion and metastasis. Zbl 0947.92012
Anderson, A. R. A.; Chaplain, M. A. J.; Newman, E. L.; Steele, R. J. C.; Thompson, A. M.
95
2000
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
93
2006
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion. Zbl 1397.92326
Gerisch, A.; Chaplain, M. A. J.
82
2008
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
72
2001
Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development. Zbl 0859.92012
Chaplain, M. A. J.
68
1996
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019
Chaplain, M. A. J.; Stuart, A. M.
66
1993
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
65
2009
A new mathematical model for avascular tumour growth. Zbl 0990.92021
Sherratt, Jonathan A.; Chaplain, Mark A. J.
63
2001
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
63
2009
Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Zbl 0883.92014
Byrne, H. M.; Chaplain, M. A. J.
61
1996
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
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Zbl 1098.92037
Chaplain, M. A. J.; Graziano, L.; Preziosi, L.
59
2006
Mathematical modelling of the spatio-temporal response of cytotoxic \(T\)-lymphocytes to a solid tumour. Zbl 1061.92038
Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A.
48
2004
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106
McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A.
46
2002
Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation. Zbl 1230.92022
Andasari, Vivi; Gerisch, Alf; Lolas, Georgios; South, Andrew P.; Chaplain, Mark A. J.
45
2011
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
41
1995
Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns. Zbl 1303.92043
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
39
2014
Mathematical modelling of tissue invasion. Zbl 1337.92103
Chaplain, Mark A. J.; Anderson, Alexander R. A.
38
2003
Mathematical modelling of cancer invasion: the importance of cell – cell adhesion and cell – matrix adhesion. Zbl 1221.35189
Chaplain, Mark A. J.; Lachowicz, Mirosław; Szymańska, Zuzanna; Wrzosek, Dariusz
38
2011
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
34
2001
A mathematical model for capillary network formation in the absence of endothelial cell proliferation. Zbl 0935.92024
Anderson, A. R. A.; Chaplain, M. A. J.
33
1998
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
33
2004
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
30
2008
A mathematical model of vascular tumour growth and invasion. Zbl 0852.92010
Orme, M. E.; Chaplain, M. A. J.
30
1996
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
30
2002
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
29
2004
Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies. Zbl 1080.92050
Stéphanou, A.; Mcdougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.
28
2005
Single-cell-based models in biology and medicine. Zbl 1228.92018
Anderson, Alexander R. A. (ed.); Chaplain, Mark A. J. (ed.); Rejniak, Katarzyna (ed.)
26
2007
A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching. Zbl 0849.92009
Orme, M. E.; Chaplain, M. A. J.
25
1996
Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
25
2004
Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Zbl 1130.92036
Stéphanou, A.; McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.
25
2006
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119
Xu, R.; Chaplain, M. A. J.; Davidson, F. A.
24
2004
Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways. Zbl 1405.92085
Sturrock, Marc; Terry, Alan J.; Xirodimas, Dimitris P.; Thompson, Alastair M.; Chaplain, Mark A. J.
24
2011
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
22
2005
A qualitative analysis of some models of tissue growth. Zbl 0786.92011
Britton, N. F.; Chaplain, M. A. J.
21
1993
A positive splitting method for mixed hyperbolic-parabolic systems. Zbl 0981.65112
Gerisch, Alf; Griffiths, David F.; Weiner, Rüdiger; Chaplain, Mark A. J.
19
2001
On immunotherapies and cancer vaccination protocols: a mathematical modelling approach. Zbl 1402.92244
Joshi, Badal; Wang, Xueying; Banerjee, Sayanti; Tian, Haiyan; Matzavinos, Anastasios; Chaplain, Mark A. J.
19
2009
Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory. Zbl 0770.92018
Chaplain, M. A. J.; Sleeman, B. D.
18
1993
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
17
2006
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
17
2017
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022
Orme, M. E.; Chaplain, M. A. J.
17
1997
Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model. Zbl 1411.92146
Powathil, Gibin G.; Gordon, Kirsty E.; Hill, Lydia A.; Chaplain, Mark A. J.
17
2012
Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
15
2006
Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Zbl 1030.34069
Xu, Rui; Chaplain, M. A. J.
15
2002
Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
15
2004
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term. Zbl 1342.35037
Chaplain, M. A. J.; Tello, J. I.
14
2016
Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
14
2004
Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
14
2005
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
14
2017
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
13
2008
Global asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with infinite delays. Zbl 1029.34060
Xu, Rui; Chaplain, M. A. J.; Chen, Lansun
13
2002
A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379
Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan
13
2013
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
12
2007
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
Bellomo, Nicola (ed.); Chaplain, Mark (ed.); De Angelis, Elena (ed.)
11
2008
A mathematical analysis of a model for tumour angiogenesis. Zbl 0830.92013
Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J.
11
1995
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
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
Computing highly accurate solutions of a tumour angiogenesis model. Zbl 1043.92016
Valenciano, J.; Chaplain, M. A. J.
11
2003
The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity. Zbl 1397.92343
Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J.
11
2018
Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems. Zbl 1125.92059
Pearce, Ian G.; Chaplain, Mark A. J.; Schofield, Pietà G.; Anderson, Alexander R. A.; Hubbard, Stephen F.
11
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.
10
1998
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
10
2015
Spatio-temporal dynamics of the immune system response to cancer. Zbl 0926.92022
Chaplain, M. A. J.; Kuznetsov, V. A.; James, Z. H.; Stepanova, L. A.
9
1998
Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks. Zbl 1013.34074
Xu, Rui; Chaplain, M. A. J.
9
2002
A hybrid discrete-continuum mathematical model of pattern prediction in the developing retinal vasculature. Zbl 1318.92025
McDougall, S. R.; Watson, M. G.; Devlin, A. H.; Mitchell, C. A.; Chaplain, M. A. J.
9
2012
Mathematical modelling of cancer invasion: the multiple roles of TGF-\(\beta\) pathway on tumour proliferation and cell adhesion. Zbl 1375.35564
Bitsouni, Vasiliki; Chaplain, Mark A. J.; Eftimie, Raluca
9
2017
An explicit subparametric spectral element method of lines applied to a tumour angiogenesis system of partial differential equations. Zbl 1043.92017
Valenciano, J.; Chaplain, M. A. J.
8
2004
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
8
2013
A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue. Zbl 0737.92007
Chaplain, M. A. J.; Stuart, A. M.
8
1991
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
8
2007
A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
8
2006
Spatio-temporal modelling of the p53 – mdm2 oscillatory system. Zbl 1173.35325
Gordon, K. E.; van Leeuwen, I. M. M.; Laín, S.; Chaplain, M. A. J.
8
2009
The role of dimerisation and nuclear transport in the Hes1 gene regulatory network. Zbl 1297.92032
Sturrock, Marc; Hellander, Andreas; Aldakheel, Sahar; Petzold, Linda; Chaplain, Mark A. J.
8
2014
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
8
2012
Travelling waves in a model of species migration. Zbl 0949.92026
Feltham, D. L.; Chaplain, M. A. J.
7
2000
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
A gradient-driven mathematical model of antiangiogenesis. Zbl 0962.92018
Anderson, A. R. A.; Chaplain, M. A. J.; García-Reimbert, C.; Vargas, C. A.
7
2000
On the concentration profile of a growth inhibitory factor in multicell spheroids. Zbl 0771.92009
Chaplain, M. A. J.; Britton, N. F.
7
1993
Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065
Xu, R.; Davidson, F. A.; Chaplain, M. A. J.
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
Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
7
2004
A mathematical framework for modelling the metastatic spread of cancer. Zbl 1415.92099
Franssen, Linnea C.; Lorenzi, Tommaso; Burgess, Andrew E. F.; Chaplain, Mark A. J.
7
2019
Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours. Zbl 1148.92019
Lejeune, O.; Chaplain, M. A. J.; El Akili, I.
6
2008
A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts. Zbl 1334.92122
Stéphanou, A.; Chaplain, M. A. J.; Tracqui, P.
6
2004
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
A mathematical model for the growth and classification of a solid tumor: A new approach via nonlinear elasticity theory using strain-energy functions. Zbl 0761.92018
Chaplain, M. A. J.; Sleeman, B. D.
6
1992
Multiscale mathematical modelling in biology and medicine. Zbl 1217.92055
Chaplain, Mark A. J.
6
2011
Dynamic heterogeneous spatio-temporal pattern formation in host-parasitoid systems with synchronised generations. Zbl 1062.92076
Schofield, Peter G.; Chaplain, Mark A. J.; Hubbard, Stephen F.
5
2005
Spatio-temporal modelling of the NF-\(\kappa\)B intracellular signalling pathway: the roles of diffusion, active transport, and cell geometry. Zbl 1397.92235
Terry, Alan J.; Chaplain, Mark A. J.
5
2011
A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions. Zbl 1398.92036
Stéphanou, Angélique; Mylona, Eleni; Chaplain, Mark; Tracqui, Philippe
5
2008
Computational modelling of cancer development and growth: modelling at multiple scales and multiscale modelling. Zbl 1394.92065
Szymańska, Zuzanna; Cytowski, Maciej; Mitchell, Elaine; Macnamara, Cicely K.; Chaplain, Mark A. J.
5
2018
Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Zbl 1235.92002
Enderling, Heiko; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Rowe, Glenn W. A.
5
2006
A Laguerre - Legendre spectral - element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors. Zbl 1081.92026
Valenciano, J.; Chaplain, M. A. J.
5
2005
Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023
Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J.
4
2000
Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
4
2004
Intracellular modelling of cell-matrix adhesion during cancer cell invasion. Zbl 1241.92033
Andasari, V.; Chaplain, M. A. J.
4
2012
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
3
2020
Bridging the gap between individual-based and continuum models of growing cell populations. Zbl 1432.92007
Chaplain, Mark A. J.; Lorenzi, Tommaso; Macfarlane, Fiona R.
3
2020
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
1
2020
A mathematical multi-organ model for bidirectional epithelial-mesenchymal transitions in the metastatic spread of cancer. Zbl 1457.92076
Franssen, Linnea C.; Chaplain, Mark A. J.
1
2020
A mathematical framework for modelling the metastatic spread of cancer. Zbl 1415.92099
Franssen, Linnea C.; Lorenzi, Tommaso; Burgess, Andrew E. F.; Chaplain, Mark A. J.
7
2019
The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity. Zbl 1397.92343
Lorenzi, Tommaso; Venkataraman, Chandrasekhar; Lorz, Alexander; Chaplain, Mark A. J.
11
2018
Computational modelling of cancer development and growth: modelling at multiple scales and multiscale modelling. Zbl 1394.92065
Szymańska, Zuzanna; Cytowski, Maciej; Mitchell, Elaine; Macnamara, Cicely K.; Chaplain, Mark A. J.
5
2018
Modelling the immune response to cancer: an individual-based approach accounting for the difference in movement between inactive and activated T cells. Zbl 1396.92037
Macfarlane, Fiona R.; Lorenzi, Tommaso; Chaplain, Mark A. J.
4
2018
Computational approaches and analysis for a spatio-structural-temporal invasive carcinoma model. Zbl 1390.92066
Hodgkinson, Arran; Chaplain, Mark A. J.; Domschke, Pia; Trucu, Dumitru
4
2018
Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion. Zbl 1410.92030
Bitsouni, Vasiliki; Trucu, Dumitru; Chaplain, Mark A. J.; Eftimie, Raluca
2
2018
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
17
2017
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
14
2017
Mathematical modelling of cancer invasion: the multiple roles of TGF-\(\beta\) pathway on tumour proliferation and cell adhesion. Zbl 1375.35564
Bitsouni, Vasiliki; Chaplain, Mark A. J.; Eftimie, Raluca
9
2017
Spatio-temporal models of synthetic genetic oscillators. Zbl 1362.92021
Macnamara, Cicely K.; Chaplain, Mark A. J.
3
2017
Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner’s dilemma. Zbl 1370.92128
Burgess, Andrew E. F.; Lorenzi, Tommaso; Schofield, Pietà G.; Hubbard, Stephen F.; Chaplain, Mark A. J.
3
2017
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term. Zbl 1342.35037
Chaplain, M. A. J.; Tello, J. I.
14
2016
Bystander effects and their implications for clinical radiation therapy: insights from multiscale in silico experiments. Zbl 1343.92130
Powathil, Gibin G.; Munro, Alastair J.; Chaplain, Mark A. J.; Swat, Maciej
4
2016
Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model. Zbl 1382.35308
Burgess, A. E. F.; Schofield, P. G.; Hubbard, S. F.; Chaplain, M. A. J.; Lorenzi, T.
3
2016
Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056
Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J.
3
2016
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
10
2015
Mean field analysis of a spatial stochastic model of a gene regulatory network. Zbl 1350.92020
Sturrock, M.; Murray, P. J.; Matzavinos, A.; Chaplain, M. A. J.
2
2015
Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns. Zbl 1303.92043
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
39
2014
The role of dimerisation and nuclear transport in the Hes1 gene regulatory network. Zbl 1297.92032
Sturrock, Marc; Hellander, Andreas; Aldakheel, Sahar; Petzold, Linda; Chaplain, Mark A. J.
8
2014
A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379
Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan
13
2013
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
8
2013
Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model. Zbl 1411.92146
Powathil, Gibin G.; Gordon, Kirsty E.; Hill, Lydia A.; Chaplain, Mark A. J.
17
2012
A hybrid discrete-continuum mathematical model of pattern prediction in the developing retinal vasculature. Zbl 1318.92025
McDougall, S. R.; Watson, M. G.; Devlin, A. H.; Mitchell, C. A.; Chaplain, M. A. J.
9
2012
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
8
2012
Intracellular modelling of cell-matrix adhesion during cancer cell invasion. Zbl 1241.92033
Andasari, V.; Chaplain, M. A. J.
4
2012
Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation. Zbl 1230.92022
Andasari, Vivi; Gerisch, Alf; Lolas, Georgios; South, Andrew P.; Chaplain, Mark A. J.
45
2011
Mathematical modelling of cancer invasion: the importance of cell – cell adhesion and cell – matrix adhesion. Zbl 1221.35189
Chaplain, Mark A. J.; Lachowicz, Mirosław; Szymańska, Zuzanna; Wrzosek, Dariusz
38
2011
Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways. Zbl 1405.92085
Sturrock, Marc; Terry, Alan J.; Xirodimas, Dimitris P.; Thompson, Alastair M.; Chaplain, Mark A. J.
24
2011
Multiscale mathematical modelling in biology and medicine. Zbl 1217.92055
Chaplain, Mark A. J.
6
2011
Spatio-temporal modelling of the NF-\(\kappa\)B intracellular signalling pathway: the roles of diffusion, active transport, and cell geometry. Zbl 1397.92235
Terry, Alan J.; Chaplain, Mark A. J.
5
2011
A continuum mathematical model of the developing murine retinal vasculature. Zbl 1334.92053
Aubert, M.; Chaplain, M. A. J.; McDougall, S. R.; Devlin, A.; Mitchell, C. A.
3
2011
Modelling the impact of pericyte migration and coverage of vessels on the efficacy of vascular disrupting agents. Zbl 1190.35219
McDougall, S. R.; Chaplain, M. A. J.; Stéphanou, A.; Anderson, A. R. A.
1
2010
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066
Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J.
65
2009
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
63
2009
On immunotherapies and cancer vaccination protocols: a mathematical modelling approach. Zbl 1402.92244
Joshi, Badal; Wang, Xueying; Banerjee, Sayanti; Tian, Haiyan; Matzavinos, Anastasios; Chaplain, Mark A. J.
19
2009
Spatio-temporal modelling of the p53 – mdm2 oscillatory system. Zbl 1173.35325
Gordon, K. E.; van Leeuwen, I. M. M.; Laín, S.; Chaplain, M. A. J.
8
2009
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion. Zbl 1397.92326
Gerisch, A.; Chaplain, M. A. J.
82
2008
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
30
2008
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
13
2008
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
Bellomo, Nicola; Chaplain, Mark; De Angelis, Elena
11
2008
Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours. Zbl 1148.92019
Lejeune, O.; Chaplain, M. A. J.; El Akili, I.
6
2008
A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions. Zbl 1398.92036
Stéphanou, Angélique; Mylona, Eleni; Chaplain, Mark; Tracqui, Philippe
5
2008
Single-cell-based models in biology and medicine. Zbl 1228.92018
Anderson, Alexander R. A.; Chaplain, Mark A. J.; Rejniak, Katarzyna
26
2007
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
12
2007
Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems. Zbl 1125.92059
Pearce, Ian G.; Chaplain, Mark A. J.; Schofield, Pietà G.; Anderson, Alexander R. A.; Hubbard, Stephen F.
11
2007
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
8
2007
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
93
2006
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Zbl 1098.92037
Chaplain, M. A. J.; Graziano, L.; Preziosi, L.
59
2006
Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Zbl 1130.92036
Stéphanou, A.; McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.
25
2006
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
17
2006
Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
15
2006
A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
8
2006
Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. Zbl 1235.92002
Enderling, Heiko; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Rowe, Glenn W. A.
5
2006
Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies. Zbl 1447.92096
McDougall, Steven R.; Anderson, Alexander R. A.; Chaplain, Mark A. J.
1
2006
Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. Zbl 1447.92358
Pearce, Ian G.; Chaplain, Mark A. J.; Schofield, Peter G.; Anderson, Alexander R. A.; Hubbard, Stephen F.
1
2006
Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
1
2006
Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system. Zbl 1094.92039
Chaplain, M. A. J.; Lolas, G.
129
2005
Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies. Zbl 1080.92050
Stéphanou, A.; Mcdougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.
28
2005
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
22
2005
Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
14
2005
Dynamic heterogeneous spatio-temporal pattern formation in host-parasitoid systems with synchronised generations. Zbl 1062.92076
Schofield, Peter G.; Chaplain, Mark A. J.; Hubbard, Stephen F.
5
2005
A Laguerre - Legendre spectral - element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors. Zbl 1081.92026
Valenciano, J.; Chaplain, M. A. J.
5
2005
Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
4
2005
Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
3
2005
Mathematical modelling of the spatio-temporal response of cytotoxic \(T\)-lymphocytes to a solid tumour. Zbl 1061.92038
Matzavinos, Anastasios; Chaplain, Mark A. J.; Kuznetsov, Vladimir A.
48
2004
Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
33
2004
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
29
2004
Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
25
2004
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119
Xu, R.; Chaplain, M. A. J.; Davidson, F. A.
24
2004
Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
15
2004
Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
14
2004
An explicit subparametric spectral element method of lines applied to a tumour angiogenesis system of partial differential equations. Zbl 1043.92017
Valenciano, J.; Chaplain, M. A. J.
8
2004
Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
7
2004
A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts. Zbl 1334.92122
Stéphanou, A.; Chaplain, M. A. J.; Tracqui, P.
6
2004
Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
4
2004
Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
3
2004
Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
2
2004
Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
1
2004
Mathematical modelling of tissue invasion. Zbl 1337.92103
Chaplain, Mark A. J.; Anderson, Alexander R. A.
38
2003
Computing highly accurate solutions of a tumour angiogenesis model. Zbl 1043.92016
Valenciano, J.; Chaplain, M. A. J.
11
2003
Gobal asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with delays. Zbl 1033.34078
Xu, Rui; Chen, Lansun; Chaplain, M. A. J.
3
2003
Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Zbl 1334.92106
McDougall, S. R.; Anderson, A. R. A.; Chaplain, M. A. J.; Sherratt, J. A.
46
2002
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
30
2002
Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Zbl 1030.34069
Xu, Rui; Chaplain, M. A. J.
15
2002
Global asymptotic stability in \(n\)-species nonautonomous Lotka-Volterra competitive systems with infinite delays. Zbl 1029.34060
Xu, Rui; Chaplain, M. A. J.; Chen, Lansun
13
2002
Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks. Zbl 1013.34074
Xu, Rui; Chaplain, M. A. J.
9
2002
Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065
Xu, R.; Davidson, F. A.; Chaplain, M. A. J.
7
2002
Persistence and attractivity in an \(N\)-species ratio-dependent predator-prey system with distributed time delays. Zbl 1043.34088
Xu, Rui; Chaplain, M. A. J.
2
2002
A mathematical analysis of a minimal model of nematode migration in soil. Zbl 1099.92070
Feltham, D. L.; Chaplain, M. A. J.; Young, I. M.; Crawford, J. W.
1
2002
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
72
2001
A new mathematical model for avascular tumour growth. Zbl 0990.92021
Sherratt, Jonathan A.; Chaplain, Mark A. J.
63
2001
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
34
2001
A positive splitting method for mixed hyperbolic-parabolic systems. Zbl 0981.65112
Gerisch, Alf; Griffiths, David F.; Weiner, Rüdiger; Chaplain, Mark A. J.
19
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
Global asymptotic stability in a nonautonomous \(n\)-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
3
2001
Mathematical modelling of tumour invasion and metastasis. Zbl 0947.92012
Anderson, A. R. A.; Chaplain, M. A. J.; Newman, E. L.; Steele, R. J. C.; Thompson, A. M.
95
2000
...and 37 more Documents
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Cited by 2,233 Authors

74 Chaplain, Mark A. J.
47 Byrne, Helen Mary
30 Maini, Philip Kumar
29 Xu, Shihe
24 Cui, Shangbin
24 Friedman, Avner
24 Winkler, Michael
22 Tao, Youshan
21 Lorenzi, Tommaso
19 Anderson, Alexander R. A.
19 Painter, Kevin J.
18 Chen, Fengde
18 Sherratt, Jonathan A.
17 Preziosi, Luigi
16 Lowengrub, John Samuel
15 Hu, Bei
15 Wu, Junde
14 Bellomo, Nicola
14 Gerisch, Alf
13 Hillen, Thomas
13 Madzvamuse, Anotida
13 Mcelwain, D. L. Sean
13 Trucu, Dumitru
12 Perthame, Benoît
12 Simpson, Matthew J.
12 Surulescu, Christina
12 Wang, Yifu
11 Carrillo de la Plata, José Antonio
10 Bai, Meng
10 Song, Yongli
10 Stéphanou, Angélique
10 Volpert, Vitaly A.
10 Xu, Changjin
9 Cristini, Vittorio
9 Eftimie, Raluca
9 Herrero, Miguel Ángel
9 Oden, John Tinsley
9 Wang, Zhian
9 Zhou, Fujun
8 Cai, Yan
8 Chen, Lansun
8 Davidson, Fordyce A.
8 Gandolfi, Alberto
8 Koleva, Miglena N.
8 Long, Quan
8 Morales-Rodrigo, Cristian
8 Mu, Chunlai
8 Vulkov, Lubin G.
8 Waters, Sarah Louise
8 Xu, Shixiong
8 Zhang, Fangwei
8 Zheng, Jiashan
7 Bellouquid, Abdelghani
7 Dehghan Takht Fooladi, Mehdi
7 Delitala, Marcello
7 Deutsch, Andreas
7 Fasano, Antonio
7 Frieboes, Hermann B.
7 Jin, Chunhua
7 Komarova, Natalia L.
7 Landman, Kerry A.
7 Li, Wan-Tong
7 Li, Zhong
7 Shangerganesh, Lingeshwaran
7 Sturrock, Marc
7 Szymańska, Zuzanna
7 Wei, Xuemei
7 Xu, Rui
7 Zhang, Qingling
6 Alarcón, Tomás
6 Bodnar, Marek
6 Capasso, Vincenzo
6 Drasdo, Dirk
6 Escher, Joachim
6 Gaffney, Eamonn A.
6 Guo, Qian
6 King, John Robert
6 Lachowicz, Mirosław
6 McDougall, Steven R.
6 Negreanu, Mihaela
6 Owen, Markus Roger
6 Peng, Yahong
6 Please, Colin P.
6 Ptashnyk, Mariya
6 Sfakianakis, Nikolaos I.
6 Sleeman, Brian D.
6 Teng, Zhi-dong
6 Vauchelet, Nicolas
6 Wu, Jie
6 Xu, Yongzhi S.
5 Banerjee, Sandip
5 Caraballo Garrido, Tomás
5 Dai, Binxiang
5 Degond, Pierre
5 d’Onofrio, Alberto
5 Foryś, Urszula
5 Galiano Casas, Gonzalo
5 Gerlee, Philip
5 Gourley, Stephen A.
5 Green, J. Edward F.
...and 2,133 more Authors
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Cited in 203 Serials

145 Journal of Theoretical Biology
87 Bulletin of Mathematical Biology
70 Journal of Mathematical Biology
66 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
63 Applied Mathematics and Computation
63 Nonlinear Analysis. Real World Applications
57 Mathematical and Computer Modelling
49 Mathematical Biosciences
43 Journal of Mathematical Analysis and Applications
42 Computers & Mathematics with Applications
39 Journal of Differential Equations
33 Discrete and Continuous Dynamical Systems. Series B
26 Journal of Computational and Applied Mathematics
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Applied Mathematics Letters
19 Applied Mathematical Modelling
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Chaos, Solitons and Fractals
18 Abstract and Applied Analysis
18 Advances in Difference Equations
18 Mathematical Modelling of Natural Phenomena
16 SIAM Journal on Applied Mathematics
16 International Journal of Biomathematics
15 Discrete Dynamics in Nature and Society
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Discrete and Continuous Dynamical Systems
11 Mathematical Methods in the Applied Sciences
11 Mathematical Biosciences and Engineering
11 Computational & Mathematical Methods in Medicine
10 Mathematics and Computers in Simulation
10 Applied Numerical Mathematics
10 European Journal of Applied Mathematics
9 Physica D
9 Journal of Applied Mathematics
9 Journal of Biological Dynamics
8 Nonlinearity
8 SIAM Journal on Mathematical Analysis
8 Journal of Applied Mathematics and Computing
8 Discrete and Continuous Dynamical Systems. Series S
7 Applicable Analysis
7 Journal of Computational Physics
7 Journal of Statistical Physics
7 Journal of Scientific Computing
7 Journal of Nonlinear Science
7 Nonlinear Dynamics
6 Journal of the Franklin Institute
6 Acta Applicandae Mathematicae
6 Computational and Applied Mathematics
6 Communications in Nonlinear Science and Numerical Simulation
6 Communications on Pure and Applied Analysis
6 SIAM Journal on Applied Dynamical Systems
5 Transactions of the American Mathematical Society
5 Numerical Methods for Partial Differential Equations
5 Journal of Dynamics and Differential Equations
5 Interfaces and Free Boundaries
5 Multiscale Modeling & Simulation
4 Computer Methods in Applied Mechanics and Engineering
4 International Journal of Control
4 Applied Mathematics and Mechanics. (English Edition)
4 Mathematics and Mechanics of Solids
4 Archives of Computational Methods in Engineering
4 Advances in Complex Systems
4 International Journal of Differential Equations
4 Journal of Applied Analysis and Computation
3 Archive for Rational Mechanics and Analysis
3 Physica A
3 Numerische Mathematik
3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
3 Japan Journal of Industrial and Applied Mathematics
3 Communications in Partial Differential Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Advances in Computational Mathematics
3 Mathematical Population Studies
3 Journal of Theoretical Medicine
3 Mathematical and Computer Modelling of Dynamical Systems
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Boundary Value Problems
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Acta Mechanica Sinica
3 Kinetic and Related Models
3 Afrika Matematika
3 International Journal of Applied and Computational Mathematics
2 International Journal of Engineering Science
2 Journal of the Mechanics and Physics of Solids
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Optimization Theory and Applications
2 Quarterly of Applied Mathematics
2 Ricerche di Matematica
2 Studies in Applied Mathematics
2 Theoretical Population Biology
2 Chinese Annals of Mathematics. Series B
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applications of Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Scientific Computing
2 Applied Mathematics. Series B (English Edition)
2 Electronic Journal of Differential Equations (EJDE)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Problems in Engineering
2 Computing and Visualization in Science
...and 103 more Serials
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Cited in 37 Fields

1,288 Biology and other natural sciences (92-XX)
817 Partial differential equations (35-XX)
285 Ordinary differential equations (34-XX)
212 Numerical analysis (65-XX)
97 Dynamical systems and ergodic theory (37-XX)
58 Fluid mechanics (76-XX)
57 Systems theory; control (93-XX)
49 Mechanics of deformable solids (74-XX)
43 Probability theory and stochastic processes (60-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
35 Operator theory (47-XX)
30 Statistical mechanics, structure of matter (82-XX)
28 Integral equations (45-XX)
27 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Computer science (68-XX)
12 Statistics (62-XX)
11 Difference and functional equations (39-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Classical thermodynamics, heat transfer (80-XX)
6 General and overarching topics; collections (00-XX)
6 Mechanics of particles and systems (70-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
3 Quantum theory (81-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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