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Chaplain, Mark A. J.

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
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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 Bellomo, Nicola
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 Sfakianakis, Nikolaos I.
4 Sherratt, Jonathan A.
4 Sleeman, Brian David
4 Sturrock, Marc
4 Villa, Chiara
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 Brezzi, Franco
2 Cristini, Vittorio
2 Dettmann, Carl P.
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 Samoletov, Alex A.
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 Ciarletta, Pasquale
1 Crawford, John W.
1 Cytowski, Maciej
1 De Angelis, Elena
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 Katsaounis, Dimitrios
1 Keener, James P.
1 Knopoff, Damian A.
...and 51 more Co-Authors
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Serials

21 Journal of Theoretical Biology
16 Bulletin of Mathematical Biology
14 Journal of Mathematical Biology
12 Applied Mathematics and Computation
12 Mathematical and Computer Modelling
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Applied Mathematics Letters
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
2 Modeling and Simulation in Science, Engineering and Technology
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

Publications by Year

Citations contained in zbMATH Open

152 Publications have been cited 3,684 times in 1,938 Documents Cited by Year
Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011
Anderson, A. R. A.; Chaplain, M. A. J.
253
1998
Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011
Byrne, H. M.; Chaplain, M. A. J.
175
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.
168
2005
Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010
Byrne, H. M.; Chaplain, M. A. J.
138
1996
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
131
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.
127
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.
110
2008
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.
92
2009
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.
84
2001
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor. Zbl 0783.92019
Chaplain, M. A. J.; Stuart, A. M.
82
1993
A new mathematical model for avascular tumour growth. Zbl 0990.92021
Sherratt, Jonathan A.; Chaplain, Mark A. J.
79
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.
74
1996
Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Zbl 0883.92014
Byrne, H. M.; Chaplain, M. A. J.
74
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
74
2009
Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016
Byrne, H. M.; Chaplain, M. A. J.
71
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.
70
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.
61
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.
56
2011
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.
55
2014
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
52
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.
51
2002
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
50
2020
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Zbl 0812.92011
Byrne, H. M.; Chaplain, M. A. J.
49
1995
Mathematical modelling of tissue invasion. Zbl 1337.92103
Chaplain, Mark A. J.; Anderson, Alexander R. A.
46
2003
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
43
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.
36
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.
35
1998
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
35
2002
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
33
2008
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
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.
32
2006
A mathematical model of vascular tumour growth and invasion. Zbl 0852.92010
Orme, M. E.; Chaplain, M. A. J.
31
1996
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.
31
2009
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.
30
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.
30
2005
Single-cell-based models in biology and medicine. Zbl 1228.92018
30
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.
29
1996
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.
29
2011
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
26
2017
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
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
25
2006
A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379
Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan
24
2013
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
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.
23
2012
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.
23
2006
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.
22
1993
A qualitative analysis of some models of tissue growth. Zbl 0786.92011
Britton, N. F.; Chaplain, M. A. J.
22
1993
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
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.
20
2016
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. Zbl 0894.92022
Orme, M. E.; Chaplain, M. A. J.
20
1997
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
18
2012
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
18
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.
17
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
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
16
2008
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
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
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.
15
2018
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
14
2007
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.
14
2012
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.
13
1995
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 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.
13
2007
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
13
2020
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
13
2013
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
13
2017
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
13
2008
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
13
2015
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.
12
2000
Computing highly accurate solutions of a tumour angiogenesis model. Zbl 1043.92016
Valenciano, J.; Chaplain, M. A. J.
12
2003
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
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.
12
2020
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 model of trophoblast invasion. Zbl 0921.92014
Byrne, H. M.; Chaplain, M. A. J.; Pettet, G. J.; McElwain, D. L. S.
11
1999
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.
11
2019
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.
10
2001
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
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.
10
2008
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.
10
2006
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 mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue. Zbl 0737.92007
Chaplain, M. A. J.; Stuart, A. M.
9
1991
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.
9
2006
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
Travelling waves in a model of species migration. Zbl 0949.92026
Feltham, D. L.; Chaplain, M. A. J.
8
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.
8
2000
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 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
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
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
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
On the concentration profile of a growth inhibitory factor in multicell spheroids. Zbl 0771.92009
Chaplain, M. A. J.; Britton, N. F.
8
1993
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
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.
7
2018
Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056
Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J.
7
2016
Multiscale mathematical modelling in biology and medicine. Zbl 1217.92055
Chaplain, Mark A. J.
7
2011
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
7
2019
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
A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis. Zbl 1480.92032
Villa, Chiara; Gerisch, Alf; Chaplain, Mark A. J.
2
2022
Modeling the emergence of phenotypic heterogeneity in vascularized tumors. Zbl 1464.35382
Villa, Chiara; Chaplain, Mark A.; Lorenzi, Tommaso
5
2021
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091
5
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
3
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.
3
2021
Mathematical modelling of cancer invasion: a review. Zbl 1497.92130
Sfakianakis, Nikolaos; Chaplain, Mark A. J.
2
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
50
2020
A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080
Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J.
13
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.
12
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
6
2020
A hybrid discrete-continuum approach to model Turing pattern formation. Zbl 1468.92020
Macfarlane, Fiona R.; Chaplain, Mark A. J.; Lorenzi, Tommaso
5
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.
2
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.
11
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
7
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.
3
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.
15
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.
7
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
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
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
A multiscale mathematical model of tumour invasive growth. Zbl 1373.92065
Peng, Lu; Trucu, Dumitru; Lin, Ping; Thompson, Alastair; Chaplain, Mark A. J.
26
2017
Structured models of cell migration incorporating molecular binding processes. Zbl 1373.35317
Domschke, Pia; Trucu, Dumitru; Gerisch, Alf; Chaplain, Mark A. J.
18
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
13
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.
20
2016
Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056
Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J.
7
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
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
Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019
Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc
13
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.
55
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
24
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
13
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.
23
2012
Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038
Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A.
18
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.
14
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.
56
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
52
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.
29
2011
Multiscale mathematical modelling in biology and medicine. Zbl 1217.92055
Chaplain, Mark A. J.
7
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.
6
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.
92
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
74
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.
31
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.
110
2008
Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021
Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A.
33
2008
Modelling aspects of cancer growth: Insight from mathematical and numerical analysis and computational simulation. Zbl 1264.92025
Chaplain, Mark A. J.
16
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.
10
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
30
2007
Thermostats for “slow” configurational modes. Zbl 1128.82006
Samoletov, Alex A.; Dettmann, Carl P.; Chaplain, Mark A. J.
14
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.
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
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
131
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.
70
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.
32
2006
Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025
Gerisch, A.; Chaplain, M. A. J.
25
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.
23
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.
17
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.
10
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.
9
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
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.
168
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.
30
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
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
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
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.
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.
61
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.
36
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.
30
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.
46
2003
Computing highly accurate solutions of a tumour angiogenesis model. Zbl 1043.92016
Valenciano, J.; Chaplain, M. A. J.
12
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
...and 52 more Documents
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Cited by 2,861 Authors

82 Chaplain, Mark A. J.
54 Byrne, Helen Mary
37 Maini, Philip Kumar
36 Xu, Shihe
29 Lorenzi, Tommaso
28 Winkler, Michael
25 Friedman, Avner
24 Cui, Shangbin
24 Tao, Youshan
22 Preziosi, Luigi
21 Bellomo, Nicola
21 Sherratt, Jonathan A.
19 Anderson, Alexander R. A.
19 Chen, Fengde
19 Lowengrub, John Samuel
19 Trucu, Dumitru
18 Simpson, Matthew J.
17 Liu, Bin
17 Perthame, Benoît
16 Gerisch, Alf
16 Hu, Bei
16 Wu, Junde
14 Eftimie, Raluca
14 Madzvamuse, Anotida
14 McElwain, D. L. Sean
14 Surulescu, Christina
14 Wang, Yifu
13 Hillen, Thomas
12 Bai, Meng
12 Dehghan Takht Fooladi, Mehdi
12 Oden, John Tinsley
12 Painter, Kevin J.
12 Sfakianakis, Nikolaos I.
11 Carrillo de la Plata, José Antonio
11 Dai, Feng
11 Song, Yongli
11 Zhang, Fangwei
10 Koleva, Miglena Nikolaeva
10 Volpert, Vitaly A.
10 Vulkov, Lubin G.
10 Xu, Changjin
10 Zheng, Jiashan
10 Zheng, Pan
9 Cristini, Vittorio
9 Delitala, Marcello Edoardo
9 Herrero, Miguel Ángel
9 Komarova, Natalia L.
9 Morales-Rodrigo, Cristian
9 Negreanu, Mihaela
9 Stéphanou, Angélique
9 Wang, Zhi Cheng
9 Wang, Zhian
9 Wei, Xuemei
9 Zhou, Fujun
8 Alarcón, Tomás
8 Cai, Yan
8 Chen, Lansun
8 Davidson, Fordyce A.
8 Fasano, Antonio
8 Frieboes, Hermann B.
8 Gandolfi, Alberto
8 Kolbe, Niklas
8 Li, Zhong
8 Long, Quan
8 Mu, Chunlai
8 Ren, Guoqiang
8 Vargas, Antonio Manuel
8 Villamizar-Roa, Elder Jesús
8 Waters, Sarah Louise
8 Xu, Rui
8 Xu, Shixiong
7 Bellouquid, Abdelghani
7 Capasso, Vincenzo
7 Cui, Junzhi
7 Dai, Binxiang
7 Degond, Pierre
7 Deutsch, Andreas
7 Dong, Hao
7 Gaffney, Eamonn A.
7 Giverso, Chiara
7 Grillo, Alfio
7 Hao, Wenrui
7 Jin, Chunhua
7 Knopoff, Damian A.
7 Kuang, Yang
7 Landman, Kerry A.
7 Li, Wan-Tong
7 Macfarlane, Fiona R.
7 Pareschi, Lorenzo
7 Ramírez-Torres, Ariel
7 Scianna, Marco
7 Shangerganesh, Lingeshwaran
7 Sturrock, Marc
7 Suárez, Antonio
7 Szymańska, Zuzanna
7 Tello, José Ignacio
7 Vauchelet, Nicolas
7 Wang, Zejia
7 Xu, Yongzhi S.
7 Zhang, Qingling
...and 2,761 more Authors
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Cited in 247 Serials

171 Journal of Theoretical Biology
104 Bulletin of Mathematical Biology
97 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
79 Journal of Mathematical Biology
71 Nonlinear Analysis. Real World Applications
68 Applied Mathematics and Computation
57 Mathematical and Computer Modelling
55 Mathematical Biosciences
50 Journal of Mathematical Analysis and Applications
49 Journal of Differential Equations
47 Computers & Mathematics with Applications
43 Discrete and Continuous Dynamical Systems. Series B
32 Applied Mathematics Letters
30 Mathematical Biosciences and Engineering
29 Journal of Computational and Applied Mathematics
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
28 Applied Mathematical Modelling
26 Chaos, Solitons and Fractals
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Advances in Difference Equations
20 International Journal of Biomathematics
18 Abstract and Applied Analysis
17 SIAM Journal on Applied Mathematics
17 Discrete Dynamics in Nature and Society
17 Mathematical Modelling of Natural Phenomena
16 Journal of Computational Physics
15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Discrete and Continuous Dynamical Systems
14 Mathematical Methods in the Applied Sciences
14 European Journal of Applied Mathematics
13 Applicable Analysis
13 Mathematics and Computers in Simulation
12 Applied Numerical Mathematics
11 Nonlinearity
11 Computational & Mathematical Methods in Medicine
11 Discrete and Continuous Dynamical Systems. Series S
10 Computer Methods in Applied Mechanics and Engineering
10 Physica D
10 Journal of Nonlinear Science
10 Communications in Nonlinear Science and Numerical Simulation
9 SIAM Journal on Mathematical Analysis
9 Journal of Applied Mathematics
9 Journal of Applied Mathematics and Computing
9 Boundary Value Problems
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Journal of Biological Dynamics
8 Acta Applicandae Mathematicae
8 Computational and Applied Mathematics
7 Journal of Statistical Physics
7 Physica A
7 Journal of Scientific Computing
7 Nonlinear Dynamics
7 Communications on Pure and Applied Analysis
7 Multiscale Modeling & Simulation
7 Networks and Heterogeneous Media
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 International Journal of Differential Equations
6 International Journal of Applied and Computational Mathematics
5 Transactions of the American Mathematical Society
5 Numerical Methods for Partial Differential Equations
5 Japan Journal of Industrial and Applied Mathematics
5 Communications in Partial Differential Equations
5 Mathematics and Mechanics of Solids
5 Kinetic and Related Models
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Control
4 Applied Mathematics and Optimization
4 Numerische Mathematik
4 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
4 Applied Mathematics and Mechanics. (English Edition)
4 International Journal of Computer Mathematics
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Electronic Journal of Differential Equations (EJDE)
4 Advances in Computational Mathematics
4 Mathematical Population Studies
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 Oberwolfach Reports
4 Journal of Applied Analysis and Computation
3 Acta Mechanica
3 Archive for Rational Mechanics and Analysis
3 Journal of Engineering Mathematics
3 Journal of the Mechanics and Physics of Solids
3 International Journal of Mathematics and Mathematical Sciences
3 Studies in Applied Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Applied Mathematics. Series B (English Edition)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Engineering Analysis with Boundary Elements
3 Mathematical Problems in Engineering
3 Computing and Visualization in Science
3 Journal of Theoretical Medicine
3 Chaos
3 International Journal of Nonlinear Sciences and Numerical Simulation
...and 147 more Serials
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Cited in 38 Fields

1,656 Biology and other natural sciences (92-XX)
1,082 Partial differential equations (35-XX)
339 Ordinary differential equations (34-XX)
286 Numerical analysis (65-XX)
115 Dynamical systems and ergodic theory (37-XX)
75 Fluid mechanics (76-XX)
67 Mechanics of deformable solids (74-XX)
60 Systems theory; control (93-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
55 Probability theory and stochastic processes (60-XX)
47 Statistical mechanics, structure of matter (82-XX)
43 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
39 Operator theory (47-XX)
34 Integral equations (45-XX)
27 Computer science (68-XX)
16 Statistics (62-XX)
14 Difference and functional equations (39-XX)
10 General and overarching topics; collections (00-XX)
10 Classical thermodynamics, heat transfer (80-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Mechanics of particles and systems (70-XX)
6 Real functions (26-XX)
6 Functional analysis (46-XX)
5 Differential geometry (53-XX)
4 Quantum theory (81-XX)
4 Operations research, mathematical programming (90-XX)
3 Approximations and expansions (41-XX)
3 Mathematics education (97-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

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