×

Chaplain, Mark A. J.

Compute Distance To:
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 · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

4 single-authored
33 Xu, Rui
27 Davidson, Fordyce A.
19 Anderson, Alexander R. A.
14 Lorenzi, Tommaso
13 Byrne, Helen Mary
9 Gerisch, Alf
9 McDougall, Steven R.
9 Trucu, Dumitru
7 Hubbard, Stephen F.
7 Schofield, Pietà G.
5 Chen, Lansun
5 Matzavinos, Anastasios
5 Stéphanou, Angélique
4 Britton, Nicholas Ferris
4 Domschke, Pia
4 Macfarlane, Fiona R.
4 Maini, Philip Kumar
4 Orme, Michelle E.
4 Sherratt, Jonathan A.
4 Sleeman, Brian David
4 Sturrock, Marc
4 Villa, Chiara
3 Bellomo, Nicola
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 Macnamara, Cicely K.
3 Powathil, Gibin G.
3 Preziosi, Luigi
3 Szymańska, Zuzanna
3 Thompson, Alastair M.
3 Valenciano, José
2 Andasari, Vivi
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 Lewis, Mark Alun
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 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 Bonner, John
1 Brezzi, Franco
1 Ciarletta, Pasquale
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 Ganesh, Mahadevan
1 Giles, Susan M.
1 Giverso, Chiara
1 Graham, Ivan G.
1 Graziano, L.
1 Griffiths, David F.
1 Hellander, Andreas
1 Hillen, Thomas
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
...and 49 more Co-Authors
all top 5

Serials

21 Journal of Theoretical Biology
16 Bulletin of Mathematical Biology
13 Journal of Mathematical Biology
12 Applied Mathematics and Computation
12 Mathematical and Computer Modelling
9 Applied Mathematics Letters
9 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
3 Mathematical Biosciences and Engineering
2 Applicable Analysis
2 IMA Journal of Applied Mathematics
2 SIAM Journal on Applied Mathematics
2 Multiscale Modeling & Simulation
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 Springer Proceedings in Mathematics & Statistics
1 Modeling and Simulation in Science, Engineering and Technology

Publications by Year

Citations contained in zbMATH Open

149 Publications have been cited 3,246 times in 1,731 Documents Cited by Year
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
230
1998
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
163
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.
144
2005
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
128
1996
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
114
2006
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.
109
2000
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.
89
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.
80
2001
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.
77
2009
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019
Chaplain, M. A. J.; Stuart, A. M.
72
1993
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.
72
1996
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
72
2009
A new mathematical model for avascular tumour growth. Zbl 0990.92021
Sherratt, Jonathan A.; Chaplain, Mark A. J.
72
2001
Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Zbl 0883.92014
Byrne, H. M.; Chaplain, M. A. J.
69
1996
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
64
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.
63
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.
56
2004
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.
51
2011
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.
48
2002
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
45
1995
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
45
2011
Mathematical modelling of tissue invasion. Zbl 1337.92103
Chaplain, Mark A. J.; Anderson, Alexander R. A.
44
2003
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.
43
2014
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
41
2001
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.
35
2004
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.
34
1998
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
32
2008
A mathematical model of vascular tumour growth and invasion. Zbl 0852.92010
Orme, M. E.; Chaplain, M. A. J.
32
1996
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.
32
2004
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
32
2002
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.
29
2005
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.
28
2006
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.
28
2009
Single-cell-based models in biology and medicine. Zbl 1228.92018
27
2007
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.
26
2004
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
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.
25
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.
23
2005
A positive splitting method for mixed hyperbolic-parabolic systems. Zbl 0981.65112
Gerisch, Alf; Griffiths, David F.; Weiner, Rüdiger; Chaplain, Mark A. J.
21
2001
A qualitative analysis of some models of tissue growth. Zbl 0786.92011
Britton, N. F.; Chaplain, M. A. J.
21
1993
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
21
2006
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
20
2020
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.
19
2012
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.
19
1993
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
19
2017
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022
Orme, M. E.; Chaplain, M. A. J.
17
1997
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
17
2017
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.
16
2006
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.
16
2004
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.
16
2002
A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379
Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan
16
2013
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.
16
2016
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.
15
2005
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.
15
2004
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
15
2008
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
15
2012
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.
14
2018
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
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
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
13
2007
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.
12
1995
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
12
2015
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.
12
2007
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
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.
11
2012
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
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.
11
1998
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.
10
2019
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
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
10
2017
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.
9
2020
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.
9
2008
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
On the concentration profile of a growth inhibitory factor in multicell spheroids. Zbl 0771.92009
Chaplain, M. A. J.; Britton, N. F.
8
1993
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.
8
1996
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
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
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
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
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.
8
2004
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 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
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
Travelling waves in a model of species migration. Zbl 0949.92026
Feltham, D. L.; Chaplain, M. A. J.
7
2000
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
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.
7
2001
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
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
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
7
2020
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.
6
2018
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.
6
2005
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
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
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.
6
2005
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.
6
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
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.
5
2016
Modeling the emergence of phenotypic heterogeneity in vascularized tumors. Zbl 1464.35382
Villa, Chiara; Chaplain, Mark A.; Lorenzi, Tommaso
3
2021
Evolutionary dynamics in vascularised tumours under chemotherapy: mathematical modelling, asymptotic analysis and numerical simulations. Zbl 1464.35381
Villa, Chiara; Chaplain, Mark A. J.; Lorenzi, Tommaso
1
2021
A novel 3D atomistic-continuum cancer invasion model: in silico simulations of an in vitro organotypic invasion assay. Zbl 1465.92026
Franssen, Linnea C.; Sfakianakis, Nikolaos; Chaplain, Mark A. J.
1
2021
Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations. Zbl 1467.92038
Villa, Chiara; Chaplain, Mark A. J.; Gerisch, Alf; Lorenzi, Tommaso
1
2021
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
20
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.
9
2020
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
7
2020
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. Zbl 1467.92101
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso
4
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 hybrid discrete-continuum approach to model Turing pattern formation. Zbl 1468.92020
Macfarlane, Fiona R.; Chaplain, Mark A. J.; Lorenzi, Tommaso
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.
10
2019
Derivation and application of effective interface conditions for continuum mechanical models of cell invasion through thin membranes. Zbl 1428.35619
Chaplain, Mark A. J.; Giverso, Chiara; Lorenzi, Tommaso; Preziosi, Luigi
5
2019
A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours. Zbl 1420.92014
Macfarlane, F. R.; Chaplain, M. A. J.; Lorenzi, T.
2
2019
Spatial-stochastic modelling of synthetic gene regulatory networks. Zbl 1411.92121
Macnamara, Cicely K.; Mitchell, Elaine I.; Chaplain, Mark A. J.
1
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.
14
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.
6
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.
6
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
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
19
2017
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
17
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
10
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.
4
2017
Spatio-temporal models of synthetic genetic oscillators. Zbl 1362.92021
Macnamara, Cicely K.; 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.
16
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.
5
2016
Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056
Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J.
4
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
3
2016
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
12
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.
3
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.
43
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
16
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.
19
2012
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
15
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.
11
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.
51
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
45
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.
4
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
Modelling contact spread of infection in host-parasitoid systems: vertical transmission of pathogens can cause chaos. Zbl 1403.92307
Preedy, Katharine F.; Schofield, Pietà G.; Liu, Sijia; Matzavinos, Anastasios; Chaplain, Mark A. J.; Hubbard, Stephen F.
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.
77
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
72
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.
28
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.
89
2008
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
32
2008
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
15
2008
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
13
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.
9
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
4
2008
Single-cell-based models in biology and medicine. Zbl 1228.92018
27
2007
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
13
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.
12
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
A mathematical model of breast cancer development, local treatment and recurrence. Zbl 1451.92091
Enderling, Heiko; Chaplain, Mark A. J.; Anderson, Alexander R. A.; Vaidya, Jayant S.
4
2007
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
114
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.
63
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.
28
2006
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
21
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.
16
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.
4
2006
Mathematical modelling of radiotherapy strategies for early breast cancer. Zbl 1447.92195
Enderling, Heiko; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Munro, Alastair J.; Vaidya, Jayant S.
2
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
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
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.
144
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.
29
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.
23
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.
15
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.
6
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.
6
2005
Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058
Xu, Rui; Chaplain, M. A. J.; Davidson, F. A.
4
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
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.
56
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.
35
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.
32
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.
26
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.
25
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.
16
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.
15
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.
8
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.
4
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.
3
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.
44
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.
48
2002
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
32
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.
16
2002
...and 49 more Documents
all top 5

Cited by 2,551 Authors

79 Chaplain, Mark A. J.
50 Byrne, Helen Mary
33 Maini, Philip Kumar
33 Xu, Shihe
27 Lorenzi, Tommaso
26 Winkler, Michael
24 Cui, Shangbin
24 Friedman, Avner
24 Tao, Youshan
19 Anderson, Alexander R. A.
19 Chen, Fengde
19 Painter, Kevin J.
19 Preziosi, Luigi
19 Sherratt, Jonathan A.
18 Bellomo, Nicola
18 Lowengrub, John Samuel
17 Simpson, Matthew J.
16 Wu, Junde
15 Gerisch, Alf
15 Hu, Bei
15 Perthame, Benoît
14 Madzvamuse, Anotida
14 Trucu, Dumitru
13 Hillen, Thomas
13 Mcelwain, D. L. Sean
13 Surulescu, Christina
12 Oden, John Tinsley
12 Wang, Yifu
11 Bai, Meng
11 Carrillo de la Plata, José Antonio
11 Eftimie, Raluca
11 Song, Yongli
10 Koleva, Miglena Nikolaeva
10 Volpert, Vitaly A.
10 Vulkov, Lubin G.
10 Xu, Changjin
10 Zhang, Fangwei
9 Cristini, Vittorio
9 Dai, Feng
9 Dehghan Takht Fooladi, Mehdi
9 Herrero, Miguel Ángel
9 Morales-Rodrigo, Cristian
9 Stéphanou, Angélique
9 Wang, Zhian
9 Zhou, Fujun
8 Cai, Yan
8 Chen, Lansun
8 Davidson, Fordyce A.
8 Delitala, Marcello Edoardo
8 Gandolfi, Alberto
8 Long, Quan
8 Mu, Chunlai
8 Sfakianakis, Nikolaos I.
8 Waters, Sarah Louise
8 Wei, Xuemei
8 Xu, Shixiong
8 Zheng, Jiashan
7 Alarcón, Tomás
7 Bellouquid, Abdelghani
7 Capasso, Vincenzo
7 Degond, Pierre
7 Deutsch, Andreas
7 Fasano, Antonio
7 Frieboes, Hermann B.
7 Jin, Chunhua
7 Kolbe, Niklas
7 Komarova, Natalia L.
7 Landman, Kerry A.
7 Li, Wan-Tong
7 Li, Zhong
7 Negreanu, Mihaela
7 Shangerganesh, Lingeshwaran
7 Sturrock, Marc
7 Suárez, Antonio
7 Szymańska, Zuzanna
7 Vauchelet, Nicolas
7 Wang, Zhi Cheng
7 Xu, Rui
7 Xu, Yongzhi S.
7 Zhang, Qingling
7 Zheng, Pan
6 Banerjee, Sandip
6 Bodnar, Marek
6 Cui, Junzhi
6 Dai, Binxiang
6 Dong, Hao
6 Drasdo, Dirk
6 Escher, Joachim
6 Gaffney, Eamonn A.
6 Giverso, Chiara
6 Guo, Qian
6 Han, Bang-Sheng
6 Hao, Wenrui
6 King, John Robert
6 Knopoff, Damian A.
6 Lachowicz, Mirosław
6 Lima, Ernesto A. B. F.
6 Macfarlane, Fiona R.
6 Malinzi, Joseph
6 McDougall, Steven R.
...and 2,451 more Authors
all top 5

Cited in 230 Serials

157 Journal of Theoretical Biology
92 Bulletin of Mathematical Biology
84 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
77 Journal of Mathematical Biology
67 Nonlinear Analysis. Real World Applications
65 Applied Mathematics and Computation
57 Mathematical and Computer Modelling
51 Mathematical Biosciences
47 Journal of Mathematical Analysis and Applications
44 Journal of Differential Equations
43 Computers & Mathematics with Applications
36 Discrete and Continuous Dynamical Systems. Series B
32 Applied Mathematics Letters
28 Journal of Computational and Applied Mathematics
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
24 Chaos, Solitons and Fractals
22 Applied Mathematical Modelling
22 Advances in Difference Equations
21 Mathematical Biosciences and Engineering
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 International Journal of Biomathematics
18 Abstract and Applied Analysis
17 Mathematical Modelling of Natural Phenomena
16 SIAM Journal on Applied Mathematics
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Discrete Dynamics in Nature and Society
14 Discrete and Continuous Dynamical Systems
13 Mathematics and Computers in Simulation
11 Mathematical Methods in the Applied Sciences
11 Applied Numerical Mathematics
11 European Journal of Applied Mathematics
11 Computational & Mathematical Methods in Medicine
10 Applicable Analysis
10 Journal of Computational Physics
10 Physica D
10 Communications in Nonlinear Science and Numerical Simulation
9 Nonlinearity
9 SIAM Journal on Mathematical Analysis
9 Journal of Applied Mathematics
9 Journal of Applied Mathematics and Computing
9 Journal of Biological Dynamics
9 Discrete and Continuous Dynamical Systems. Series S
8 Acta Applicandae Mathematicae
8 Computational and Applied Mathematics
7 Journal of Statistical Physics
7 Physica A
7 Journal of Scientific Computing
7 Journal of Nonlinear Science
7 Nonlinear Dynamics
7 Communications on Pure and Applied Analysis
7 Multiscale Modeling & Simulation
6 Journal of the Franklin Institute
6 Journal of Dynamics and Differential Equations
6 Interfaces and Free Boundaries
6 SIAM Journal on Applied Dynamical Systems
6 Boundary Value Problems
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 International Journal of Differential Equations
6 International Journal of Applied and Computational Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Transactions of the American Mathematical Society
5 Numerical Methods for Partial Differential Equations
5 Japan Journal of Industrial and Applied Mathematics
5 Mathematics and Mechanics of Solids
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Control
4 Numerische Mathematik
4 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
4 Applied Mathematics and Mechanics. (English Edition)
4 Communications in Partial Differential Equations
4 International Journal of Computer Mathematics
4 Electronic Journal of Differential Equations (EJDE)
4 Advances in Computational Mathematics
4 Mathematical and Computer Modelling of Dynamical Systems
4 Journal of Biological Systems
4 Archives of Computational Methods in Engineering
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Advances in Complex Systems
4 Journal of Applied Analysis and Computation
3 Archive for Rational Mechanics and Analysis
3 Journal of Engineering Mathematics
3 Journal of the Mechanics and Physics of Solids
3 Applied Mathematics and Optimization
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Mathematical Population Studies
3 Journal of Theoretical Medicine
3 The ANZIAM Journal
3 Journal of Evolution Equations
3 Acta Mathematica Scientia. Series A. (Chinese Edition)
3 Acta Mechanica Sinica
3 Kinetic and Related Models
3 Afrika Matematika
2 Acta Mechanica
2 Biological Cybernetics
2 International Journal of Engineering Science
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
...and 130 more Serials
all top 5

Cited in 37 Fields

1,473 Biology and other natural sciences (92-XX)
940 Partial differential equations (35-XX)
316 Ordinary differential equations (34-XX)
253 Numerical analysis (65-XX)
108 Dynamical systems and ergodic theory (37-XX)
66 Fluid mechanics (76-XX)
60 Systems theory; control (93-XX)
59 Mechanics of deformable solids (74-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
47 Probability theory and stochastic processes (60-XX)
42 Statistical mechanics, structure of matter (82-XX)
37 Operator theory (47-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Integral equations (45-XX)
27 Computer science (68-XX)
12 Difference and functional equations (39-XX)
12 Statistics (62-XX)
8 General and overarching topics; collections (00-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Differential geometry (53-XX)
6 Real functions (26-XX)
6 Mechanics of particles and systems (70-XX)
4 Functional analysis (46-XX)
4 Quantum theory (81-XX)
3 Topological groups, Lie groups (22-XX)
3 Manifolds and cell complexes (57-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.