Edit Profile (opens in new tab) Chaplain, Mark A. J. Co-Author Distance Author ID: chaplain.mark-a-j Published as: Chaplain, M. A. J.; Chaplain, Mark A. J.; Chaplain, Mark; Chaplain, Mark A. more...less Homepage: http://www.mcs.st-andrews.ac.uk/~majc/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 166 Publications since 1990, including 1 Additional arXiv Preprint 8 Contributions as Editor Co-Authors: 147 Co-Authors with 170 Joint Publications 3,388 Co-Co-Authors 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 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 all top 5 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 all top 5 Fields 170 Biology and other natural sciences (92-XX) 79 Partial differential equations (35-XX) 35 Ordinary differential equations (34-XX) 24 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 3,780 times in 1,997 Documents Cited by ▼ Year ▼ Continuous and discrete mathematical models of tumor-induced angiogenesis. Zbl 0923.92011 Anderson, A. R. A.; Chaplain, M. A. J. 255 1998 Growth of nonnecrotic tumors in the presence and absence of inhibitors. Zbl 0836.92011 Byrne, H. M.; Chaplain, M. A. J. 180 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. 171 2005 Growth of necrotic tumors in the presence and absence of inhibitors. Zbl 0856.92010 Byrne, H. M.; Chaplain, M. A. J. 140 1996 Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023 Chaplain, M. A. J.; Lolas, G. 137 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. 132 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. 112 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. 99 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. 87 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. 84 1993 A new mathematical model for avascular tumour growth. Zbl 0990.92021 Sherratt, Jonathan A.; Chaplain, Mark A. J. 80 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. 77 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. 76 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 76 2009 Free boundary value problems associated with the growth and development of multicellular spheroids. Zbl 0906.92016 Byrne, H. M.; Chaplain, M. A. J. 72 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. 71 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. 57 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. 56 2014 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 54 2020 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 53 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 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. 49 2003 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082 Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 44 2001 A mathematical model for capillary network formation in the absence of endothelial cell proliferation. Zbl 0935.92024 Anderson, A. R. A.; Chaplain, M. A. J. 36 1998 Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059 Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 36 2004 Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051 Gourley, S. A.; Chaplain, M. A. J. 35 2002 Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053 Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 33 2004 Mathematical modelling of cancer cell invasion of tissue. Zbl 1148.92021 Ramis-Conde, Ignacio; Chaplain, Mark A. J.; Anderson, Alexander R. A. 33 2008 Single-cell-based models in biology and medicine. Zbl 1228.92018 32 2007 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 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 A mathematical model of vascular tumour growth and invasion. Zbl 0852.92010 Orme, M. E.; Chaplain, M. A. J. 31 1996 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 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. 30 1996 Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063 Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 30 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. 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 Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems. Zbl 1086.92025 Gerisch, A.; Chaplain, M. A. J. 26 2006 A multiscale moving boundary model arising in cancer invasion. Zbl 1302.35379 Trucu, Dumitru; Lin, Ping; Chaplain, Mark A. J.; Wang, Yangfan 25 2013 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 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. 25 2006 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. 24 2012 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 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. 21 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. 19 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 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. 16 2018 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 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 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 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015 15 2008 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. 14 2019 Hopf bifurcation in a gene regulatory network model: molecular movement causes oscillations. Zbl 1326.92019 Chaplain, Mark; Ptashnyk, Mariya; Sturrock, Marc 14 2015 A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080 Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J. 14 2020 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 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 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 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 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 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 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 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 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 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 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. 11 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. 11 2006 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 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 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 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 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. 9 2018 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 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 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 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 On the concentration profile of a growth inhibitory factor in multicell spheroids. Zbl 0771.92009 Chaplain, M. A. J.; Britton, N. F. 8 1993 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 Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056 Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J. 8 2016 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 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 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 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 8 2019 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 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 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 Multiscale mathematical modelling in biology and medicine. Zbl 1217.92055 Chaplain, Mark A. J. 7 2011 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 7 2020 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 Predicting pandemics in a globally connected world. Volume 1. Toward a multiscale, multidisciplinary framework through modeling and simulation. Zbl 1495.92004 1 2022 Modeling the emergence of phenotypic heterogeneity in vascularized tumors. Zbl 1464.35382 Villa, Chiara; Chaplain, Mark A.; Lorenzi, Tommaso 6 2021 Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091 5 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. 4 2021 Mathematical modelling of cancer invasion: a review. Zbl 1497.92130 Sfakianakis, Nikolaos; Chaplain, Mark A. J. 4 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 Methods of mathematical oncology. Fusion of mathematics and biology. Selected papers based on the presentations at the symposium, Osaka, Japan, October 26–28, 2020. Zbl 1480.92010 1 2021 Targeting cellular DNA damage responses in cancer: an in vitro-calibrated agent-based model simulating monolayer and spheroid treatment responses to ATR-inhibiting drugs. Zbl 1471.92154 Hamis, Sara; Yates, James; Chaplain, Mark A. J.; Powathil, Gibin G. 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 54 2020 A hybrid multiscale model for cancer invasion of the extracellular matrix. Zbl 1443.92080 Sfakianakis, Nikolaos; Madzvamuse, Anotida; Chaplain, Mark A. J. 14 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 7 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. 14 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 8 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. 16 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. 9 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 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 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. 21 2016 Multiscale computational modelling and analysis of cancer invasion. Zbl 1353.92056 Trucu, Dumitru; Domschke, Pia; Gerisch, Alf; Chaplain, Mark A. J. 8 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 14 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. 56 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 25 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. 24 2012 Three-scale convergence for processes in heterogeneous media. Zbl 1252.35038 Trucu, D.; Chaplain, M. A. J.; Marciniak-Czochra, A. 19 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. 57 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 53 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. 5 2011 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 Modelling the impact of pericyte migration and coverage of vessels on the efficacy of vascular disrupting agents. Zbl 1190.35219 McDougall, S. R.; Chaplain, M. A. J.; Stéphanou, A.; Anderson, A. R. A. 1 2010 Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Zbl 1171.35066 Szymańska, Zuzanna; Rodrigo, Cristian Morales; Lachowicz, Mirosław; Chaplain, Mark A. J. 99 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 76 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. 112 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 15 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 32 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. 137 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. 71 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. 26 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. 25 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. 11 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. 11 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. 171 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. 33 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 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 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 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 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,950 Authors 82 Chaplain, Mark A. J. 55 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. 20 Lowengrub, John Samuel 19 Anderson, Alexander R. A. 19 Chen, Fengde 19 Trucu, Dumitru 18 Liu, Bin 18 Perthame, Benoît 18 Simpson, Matthew J. 17 Hu, Bei 16 Gerisch, Alf 16 Wu, Junde 15 Painter, Kevin J. 15 Surulescu, Christina 14 Eftimie, Raluca 14 McElwain, D. L. Sean 14 Wang, Yifu 13 Hillen, Thomas 12 Bai, Meng 12 Dehghan Takht Fooladi, Mehdi 12 Madzvamuse, Anotida 12 Oden, John Tinsley 12 Sfakianakis, Nikolaos I. 12 Song, Yongli 11 Carrillo de la Plata, José Antonio 11 Dai, Feng 11 Volpert, Vitaly A. 11 Xu, Changjin 11 Zhang, Fangwei 11 Zheng, Jiashan 10 Koleva, Miglena Nikolaeva 10 Vulkov, Lubin G. 10 Wang, Zhi Cheng 10 Wang, Zhian 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 Ren, Guoqiang 9 Stéphanou, Angélique 9 Wei, Xuemei 9 Zhou, Fujun 8 Alarcón, Tomás 8 Cai, Yan 8 Chen, Lansun 8 Cui, Junzhi 8 Davidson, Fordyce A. 8 Fasano, Antonio 8 Frieboes, Hermann B. 8 Gandolfi, Alberto 8 Grillo, Alfio 8 Knopoff, Damian A. 8 Kolbe, Niklas 8 Li, Zhong 8 Long, Quan 8 Mu, Chunlai 8 Ramírez-Torres, Ariel 8 Scianna, Marco 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 Dai, Binxiang 7 Degond, Pierre 7 Deutsch, Andreas 7 Dong, Hao 7 Gaffney, Eamonn A. 7 Gerlee, Philip 7 Giverso, Chiara 7 Hao, Wenrui 7 Ito, Akio 7 Jin, Chunhua 7 Kuang, Yang 7 Landman, Kerry A. 7 Li, Wan-Tong 7 Macfarlane, Fiona R. 7 Pareschi, Lorenzo 7 Shangerganesh, Lingeshwaran 7 Sturrock, Marc 7 Suárez, Antonio 7 Szymańska, Zuzanna 7 Tello, José Ignacio 7 Vauchelet, Nicolas 7 Wang, Zejia ...and 2,850 more Authors all top 5 Cited in 251 Serials 176 Journal of Theoretical Biology 111 Bulletin of Mathematical Biology 97 M\(^3\)AS. 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Second Series 6 SIAM Journal on Applied Dynamical Systems 6 International Journal of Differential Equations 6 International Journal of Applied and Computational Mathematics 5 Applied Mathematics and Optimization 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 International Journal of Computer Mathematics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Numerische Mathematik 4 Studies in Applied Mathematics 4 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 4 Applied Mathematics and Mechanics. (English Edition) 4 Electronic Journal of Differential Equations (EJDE) 4 NoDEA. 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Series B (English Edition) 3 Engineering Analysis with Boundary Elements 3 Mathematical Problems in Engineering 3 Computing and Visualization in Science 3 Journal of Theoretical Medicine 3 Chaos ...and 151 more Serials all top 5 Cited in 38 Fields 1,702 Biology and other natural sciences (92-XX) 1,119 Partial differential equations (35-XX) 344 Ordinary differential equations (34-XX) 295 Numerical analysis (65-XX) 117 Dynamical systems and ergodic theory (37-XX) 79 Fluid mechanics (76-XX) 69 Mechanics of deformable solids (74-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 61 Systems theory; control (93-XX) 55 Probability theory and stochastic processes (60-XX) 49 Statistical mechanics, structure of matter (82-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 40 Operator theory (47-XX) 35 Integral equations (45-XX) 28 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) 8 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) 4 Mathematics education (97-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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