Edit Profile (opens in new tab) Maini, Philip Kumar Co-Author Distance Author ID: maini.philip-k Published as: Maini, Philip K.; Maini, P. K.; Maini, Philip; Maini, Philip Kumar; Maini, P. more...less Homepage: https://people.maths.ox.ac.uk/maini/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 211 Publications since 1985, including 1 Book 9 Contributions as Editor · 3 Further Contributions Biographic References: 3 Publications Co-Authors: 264 Co-Authors with 214 Joint Publications 4,347 Co-Co-Authors all top 5 Co-Authors 8 single-authored 36 Byrne, Helen Mary 21 Sherratt, Jonathan A. 20 Gaffney, Eamonn A. 19 Baker, Ruth Elizabeth 17 Murray, James Dickson 15 Alarcón, Tomás 11 Gatenby, Robert A. 8 Gavaghan, David J. 8 Olsen, Luke 8 Othmer, Hans G. 8 Sánchez-Garduño, Faustino 7 Madzvamuse, Anotida 7 Schnell, Santiago 6 Cruywagen, Gerhard C. 6 Martin, Natasha K. 6 Owen, Markus Roger 6 Smallbone, Kieran 5 Barrio, Rafael Álvarez-Nóvoa 5 Benson, Debbie L. 5 Chapman, Stephen Jonathan 5 Crampin, Edmund John 5 Dale, Paul D. 5 Fletcher, Alexander G. 5 Myerscough, Mary R. 4 Anderson, Alexander R. A. 4 Armitage, Judith P. 4 Chaplain, Mark A. J. 4 Hofer, Thomas 4 Korobeinikov, Andrei 4 McElwain, D. L. Sean 4 Painter, Kevin J. 4 Pitt-Francis, Joe M. 4 Wathen, Andrew John 3 Dallon, John C. 3 Deutsch, Andreas 3 Gillies, Robert J. 3 Guerrero, Pilar 3 Krause, Andrew L. 3 Lewis, Mark Alun 3 McGillen, Jessica B. 3 Mirams, Gary R. 3 Murray, Philip J. 3 Osborne, James M. 3 Oster, George F. 3 Piltz, Sofia H. 3 Porter, Mason Alexander 3 Satnoianu, Razvan Alin 3 Tindall, Marcus J. 3 Winters, Keith H. 3 Woolley, Thomas E. 2 Agur, Zvia 2 Alber, Mark S. 2 Ardaševa, Aleksandra 2 Arnold, Frank 2 Bader, Samuel B. 2 Bellomo, Nicola 2 Bonsall, Michael B. 2 Brady, John Michael 2 Burke, Meghan A. 2 Celora, Giulia L. 2 Colson, Chloé 2 Dormann, Sabine 2 Enderling, Heiko 2 Flegg, Jennifer A. 2 Garny, Alan 2 Hammond, Ester M. 2 Hunter, Peter J. 2 Kappos, Efthimios 2 Klika, Václav 2 Lewin, Thomas D. 2 Lorenzi, Tommaso 2 Malaguti, Luisa 2 Marcelli, Cristina 2 Markham, Deborah C. 2 Marron, K. 2 Martinson, W. Duncan 2 Matucci, Serena 2 McCue, Scott William 2 McInerney, Darragh 2 Menzinger, Michael 2 Miura, Takashi 2 Monk, Nicholas A. M. 2 Moros, Eduardo G. 2 Moulton, Derek E. 2 Pathmanathan, Pras 2 Ponce Bobadilla, Ana Victoria 2 Porter, S. L. 2 Reimer, Jody R. 2 Ribba, Benjamin 2 Robey, Ian F. 2 Roose, Tiina 2 Sekimura, Toshio 2 Simpson, Matthew J. 2 Spill, Fabian 2 Vaughan, Benjamin Leroy jun. 2 Walter, Alex 1 Addison-Smith, B. 1 Allena, Rachele 1 Almet, Axel A. 1 Araujo, Robyn P. ...and 197 more Co-Authors all top 5 Serials 41 Bulletin of Mathematical Biology 31 Journal of Mathematical Biology 31 Journal of Theoretical Biology 9 Mathematical Biosciences 7 Applied Mathematics Letters 6 Physica D 6 IMA Journal of Mathematics Applied in Medicine and Biology 5 Journal of Computational Physics 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Applied Mathematics 4 Journal of Theoretical Medicine 4 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Medicine and Biology 3 Mathematical and Computer Modelling 3 Mathematical Biosciences and Engineering 2 IMA Journal of Applied Mathematics 2 Chaos 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Forma 2 SIAM Journal on Applied Dynamical Systems 2 Multiscale Modeling & Simulation 2 Lecture Notes in Mathematics 2 Computational & Mathematical Methods in Medicine 2 Modeling and Simulation in Science, Engineering and Technology 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Hiroshima Mathematical Journal 1 Journal of Differential Equations 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Scientific Computing 1 IMPACT of Computing in Science and Engineering 1 Journal of Physics A: Mathematical and General 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Canadian Applied Mathematics Quarterly 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Computational Biology and Chemistry 1 The IMA Volumes in Mathematics and its Applications 1 IAS/Park City Mathematics Series 1 Networks and Heterogeneous Media 1 RIMS Kôkyûroku Bessatsu 1 Mathematical Modelling of Natural Phenomena 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 205 Biology and other natural sciences (92-XX) 104 Partial differential equations (35-XX) 31 Numerical analysis (65-XX) 20 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 General and overarching topics; collections (00-XX) 10 Probability theory and stochastic processes (60-XX) 8 Computer science (68-XX) 8 Systems theory; control (93-XX) 6 History and biography (01-XX) 4 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Information and communication theory, circuits (94-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 3,276 times in 2,019 Documents Cited by ▼ Year ▼ On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 203 2008 Mathematical models of avascular tumor growth. Zbl 1117.93011Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K. 160 2007 Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048Korobeinikov, Andrei; Maini, Philip K. 147 2005 Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. 125 1999 A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence. Zbl 1062.92061Korobeinikov, Andrei; Maini, Philip K. 118 2004 Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P. 69 2008 Travelling waves in a wound healing assay. Zbl 1055.92025Maini, P. K.; McElwain, D. L. S.; Leavesley, D. 63 2004 Turing instabilities in general systems. Zbl 1002.92002Satnoianu, Razvan A.; Menzinger, Michael; Maini, Philip K. 63 2000 Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini. Zbl 1154.37007Deutsch, Andreas; Dormann, Sabine 60 2005 Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions. Zbl 0829.92001Dillon, R.; Maini, P. K.; Othmer, Hans G. 59 1994 A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K. 57 1999 A moving grid finite element method applied to a model biological pattern generator. Zbl 1029.65113Madzvamuse, Anotida; Wathen, Andrew J.; Maini, Philip K. 56 2003 Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035Crampin, E. J.; Hackborn, W. W.; Maini, P. K. 56 2002 The effect of growth and curvature on pattern formation. Zbl 1073.35117Plaza, R. G.; Sánchez-Garduño, F.; Padilla, P.; Barrio, R. A.; Maini, P. K. 49 2004 Development and applications of a model for cellular response to multiple chemotactic cues. Zbl 0969.92003Painter, K. J.; Maini, P. K.; Othmer, H. G. 48 2000 Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. Zbl 1202.92010Madzvamuse, Anotida; Gaffney, Eamonn A.; Maini, Philip K. 48 2010 Enzyme kinetics at high enzyme concentration. Zbl 1323.92099Schnell, S.; Maini, P. K. 48 2000 Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. Zbl 1122.65076Madzvamuse, Anotida; Maini, Philip K. 47 2007 Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D. 45 1991 Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M. 44 2009 A multiple scale model for tumor growth. Zbl 1107.92019Alarcón, T.; Byrne, H. M.; Maini, P. K. 42 2005 Travelling wave phenomena in some degenerate reaction-diffusion equations. Zbl 0821.35085Sánchez-Garduño, Faustino; Maini, Philip K. 42 1995 Diffusion driven instability in an inhomogeneous domain. Zbl 0758.92003Benson, Debbie L.; Sherratt, Jonathan A.; Maini, Philip K. 40 1993 A cellular automaton model for tumour growth in inhomogeneous environment. Zbl 1464.92060Alarcón, T.; Byrne, H. M.; Maini, P. K. 39 2003 Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations. Zbl 0822.92021Sánchez-Garduño, Faustino; Maini, Philip K. 39 1994 Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model. Zbl 1016.35035Crampin, E. J.; Gaffney, E. A.; Maini, P. K. 36 2002 A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J. 34 2005 Cellular pattern formation during Dictyostelium aggregation. Zbl 0888.92005Höfer, Thomas; Sherratt, Jonathan A.; Maini, Philip K. 33 1995 Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell. Zbl 1166.92008Tindall, M. J.; Porter, S. L.; Maini, P. K.; Gaglia, G.; Armitage, J. P. 32 2008 Pattern formation in a generalized chemotactic model. Zbl 1002.92511Myerscough, M. R.; Maini, P. K.; Painter, K. J. 32 1998 A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113Osborne, J. M.; Walter, A.; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M. 29 2010 Complex pattern formation in reaction-diffusion systems with spatially varying parameters. Zbl 1065.35145Page, Karen M.; Maini, Philip K.; Monk, Nicholas A. M. 29 2005 Partial differential equations for self-organization in cellular and developmental biology. Zbl 1159.35003Baker, R. E.; Gaffney, E. A.; Maini, P. K. 28 2008 Mathematical modeling of corneal epithelial wound healing. Zbl 0818.92007Dale, Paul D.; Maini, Philip K.; Sherratt, Jonathan A. 28 1994 Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation. Zbl 1021.34038Satnoianu, R. A.; Maini, P. K.; Garduno, F. S.; Armitage, J. P. 25 2001 A general reaction-diffusion model of acidity in cancer invasion. Zbl 1288.35186McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K. 25 2014 Prey switching with a linear preference trade-off. Zbl 1348.37125Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K. 25 2014 A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Zbl 1334.92039Madzvamuse, Anotida; Thomas, Roger D. K.; Maini, Philip K.; Wathen, Andrew J. 25 2002 Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations. Zbl 0994.92024Schnell, S.; Maini, P. K. 23 2002 Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023Alarcón, Tomás; Owen, Markus R.; Byrne, Helen M.; Maini, Philip K. 23 2006 The role of acidity in solid tumour growth and invasion. Zbl 1445.92082Smallbone, Kieran; Gavaghan, David J.; Gatenby, Robert A.; Maini, Philip K. 22 2005 A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. Zbl 0891.92016Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K.; Arnold, Frank 22 1997 Unravelling the Turing bifurcation using spatially varying diffusion coefficients. Zbl 0919.92006Benson, Debbie L.; Maini, Philip K.; Sherratt, Jonathan A. 22 1998 Travelling wave phenomena in nonlinear diffusion degenerate Nagumo equations. Zbl 0887.35073Sánchez-Garduño, Faustino; Maini, Philip K. 21 1997 Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0767.92004Maini, Philip K.; Benson, Debbie L.; Sherratt, Jonathan A. 21 1992 Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. 20 2009 A chemotactic model for the advance and retreat of the primitive streak in avian development. Zbl 1323.92036Painter, K. J.; Maini, P. K.; Othmer, H. G. 20 2000 Investigating a simple model of cutaneous wound healing angiogenesis. Zbl 1012.92020Gaffney, E. A.; Pugh, K.; Maini, P. K.; Arnold, F. 19 2002 A mechanism for morphogen-controlled domain growth. Zbl 1114.92007Baker, R. E.; Maini, P. K. 19 2007 An efficient and robust numerical algorithm for estimating parameters in Turing systems. Zbl 1195.92005Garvie, Marcus R.; Maini, Philip K.; Trenchea, Catalin 19 2010 Mode transitions in a model reaction-diffusion system driven by domain growth and noise. Zbl 1334.92034Barrass, Iain; Crampin, Edmund J.; Maini, Philip K. 19 2006 Pattern formation in spatially heterogeneous Turing reaction-diffusion models. Zbl 1024.35045Page, Karen; Maini, Philip K.; Monk, Nicholas A. M. 18 2003 Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K. 18 2006 On the proportion of cancer stem cells in a tumour. Zbl 1407.92045Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F. 17 2010 Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS). Zbl 1001.35061Satnoianu, Razvan A.; Maini, Philip K.; Menzinger, Michael 16 2001 The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip 16 2002 Reaction-diffusion models for biological pattern formation. Zbl 1004.92002Crampin, E. J.; Maini, P. K. 16 2001 An approximation to a sharp type solution of a density-dependent reaction-diffusion equation. Zbl 0803.35074Sánchez Garduño, F.; Maini, P. K. 16 1994 Phase differences in reaction-diffusion-advection systems and applications to morphogenesis. Zbl 0843.35041Perumpanani, Abbey J.; Sherratt, Jonathan A.; Maini, Philip K. 16 1995 Diffusion-aggregation processes with mono-stable reaction terms. Zbl 1116.35099Maini, Philip K.; Malaguti, Luisa; Marcelli, Cristina; Matucci, Serena 15 2006 Modelling biological invasions: individual to population scales at interfaces. Zbl 1397.92091Belmonte-Beitia, Juan; Woolley, T. E.; Scott, J. G.; Maini, P. K.; Gaffney, E. A. 15 2013 A mathematical model for fibro-proliferative wound healing disorders. Zbl 0865.92010Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K. 15 1996 HTLV-I infection: A dynamic struggle between viral persistence and host immunity. Zbl 1412.92289Lim, Aaron G.; Maini, Philip K. 14 2014 Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells. Zbl 1334.92041Miura, Takashi; Maini, Philip K. 14 2004 Tumour-stromal interactions in acid-mediated invasion: a mathematical model. Zbl 1410.92036Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K. 13 2010 Spatial and spatio-temporal patterns in a cell-haptotaxis model. Zbl 0716.92004Maini, P. K. 13 1989 Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M. 13 2015 Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003Cruywagen, Gerhard C.; Maini, Philip K.; Murray, James D. 13 1997 Spatially varying equilibria of mechanical models: Application to dermal wound contraction. Zbl 0888.92021Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A. 13 1998 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049Bellomo, N.; Maini, P. K. 12 2007 Mathematical modelling of tumour acidity. Zbl 1400.92287Smallbone, Kieran; Gatenby, Robert A.; Maini, Philip K. 12 2008 A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. Zbl 1440.92011Alarcón, T.; Byrne, H. M.; Maini, P. K. 12 2004 Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0784.92004Benson, D. L.; Maini, P. K.; Sherratt, J. A. 12 1993 A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049Mirams, Gary R.; Fletcher, Alexander G.; Maini, Philip K.; Byrne, Helen M. 12 2012 Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso 11 2020 A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001Maini, P. K.; Murray, J. D. 11 1988 A mathematical investigation of a Clock and Wavefront model for somitogenesis. Zbl 1094.92007Baker, R. E.; Schnell, S.; Maini, P. K. 11 2006 A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: investigation of the current protocol through theoretical modelling results. Zbl 1334.92207Ribba, B.; Marron, K.; Agur, Z.; Alarcón, T.; Maini, P. K. 11 2005 Mixed-mode pattern in Doublefoot mutant mouse limb – Turing reaction-diffusion model on a growing domain during limb development. Zbl 1447.92047Miura, Takashi; Shiota, Kohei; Morriss-Kay, Gillian; Maini, Philip K. 11 2006 Boundary-driven instability. Zbl 0886.35075Maini, P. K.; Myerscough, M. R. 11 1997 Logistic proliferation of cells in scratch assays is delayed. Zbl 1368.92112Jin, Wang; Shah, Esha T.; Penington, Catherine J.; McCue, Scott W.; Maini, Philip K.; Simpson, Matthew J. 11 2017 Metabolic changes during carcinogenesis: potential impact on invasiveness. Zbl 1450.92030Smallbone, Kieran; Gatenby, Robert A.; Gillies, Robert J.; Maini, Philip K.; Gavaghan, David J. 11 2007 Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F. 10 1986 Mathematical modelling of anisotropy in fibrous connective tissue. Zbl 0953.92011Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A.; Dallon, John 10 1999 Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. Zbl 0714.92006Frenzen, C. L.; Maini, P. K. 10 1988 Size-dependent symmetry breaking in models for morphogenesis. Zbl 0992.92001Barrio, R. A.; Maini, P. K.; Aragón, J. L.; Torres, M. 10 2002 The use of hybrid cellular automaton models for improving cancer therapy. Zbl 1116.92314Ribba, B.; Alarcón, T.; Marron, K.; Maini, P. K.; Agur, Z. 10 2004 Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K. 10 2007 Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen 10 2015 A shooting argument approach to a sharp-type solution for nonlinear degenerate Fisher-KPP equations. Zbl 0876.35066Sánchez-Garduño, Faustino; Maini, Philip K.; Kappos, M. E. 10 1996 A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics. Zbl 1237.92033Murphy, Kelly E.; Hall, Cameron L.; Maini, Philip K.; Mccue, Scott W.; Mcelwain, D. L. Sean 9 2012 The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022Betteridge, Russell; Owen, Markus R.; Byrne, Helen M.; Alarcón, Tomás; Maini, Philip K. 9 2006 A predator-2 prey fast-slow dynamical system for rapid predator evolution. Zbl 1382.37101Piltz, Sofia H.; Veerman, Frits; Maini, Philip K.; Porter, Mason A. 9 2017 Cluster formation for multi-strain infections with cross-immunity. Zbl 1442.92157Calvez, Vincent; Korobeinikov, Andrei; Maini, P. K. 9 2005 Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Zbl 1323.92031Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D. 9 1999 Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing. Zbl 0904.92024Dale, Paul D.; Sherratt, Jonathan A.; Maini, Philip K. 9 1997 Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate. Zbl 1412.92139Korvasová, K.; Gaffney, E. A.; Maini, P. K.; Ferreira, M. A.; Klika, V. 9 2015 Estimation of effective vaccination rate: pertussis in New Zealand as a case study. Zbl 1464.92146Korobeinikov, A.; Maini, P. K.; Walker, W. J. 8 2003 Travelling waves in wound healing. Zbl 1003.92512Dale, Paul D.; Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A. 8 1995 Dispersal, individual movement and spatial ecology. A mathematical perspective. Zbl 1264.92051 8 2013 Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P. 2 2022 Control of diffusion-driven pattern formation behind a wave of competency. Zbl 1494.92031Liu, Yue; Maini, Philip K.; Baker, Ruth E. 1 2022 Combining mechanisms of growth arrest in solid tumours: a mathematical investigation. Zbl 1497.92049Colson, Chloé; Byrne, Helen M.; Maini, Philip K. 1 2022 Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A. 7 2021 Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso 11 2020 A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. 7 2020 A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso 7 2020 Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031Strobl, Maximilian A. R.; Krause, Andrew L.; Damaghi, Mehdi; Gillies, Robert; Anderson, Alexander R. A.; Maini, Philip K. 5 2020 Modelling collective cell migration: neural crest as a model paradigm. Zbl 1432.92016Giniūnaitė, Rasa; Baker, Ruth E.; Kulesa, Paul M.; Maini, Philip K. 3 2020 The Turing model for biological pattern formation. Zbl 1439.92035Maini, Philip K.; Woolley, Thomas E. 5 2019 Patterns of non-normality in networked systems. Zbl 1420.92009Muolo, Riccardo; Asllani, Malbor; Fanelli, Duccio; Maini, Philip K.; Carletti, Timoteo 4 2019 Post-buckling behaviour of a growing elastic rod. Zbl 1411.35247Almet, Axel A.; Byrne, Helen M.; Maini, Philip K.; Moulton, Derek E. 2 2019 A simple mechanochemical model for calcium signalling in embryonic epithelial cells. Zbl 1417.34103Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J. 2 2019 Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás 2 2019 Mathematical oncology. Zbl 1390.00112 8 2018 The evolution of tumour composition during fractionated radiotherapy: implications for outcome. Zbl 1394.92061Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M. 8 2018 Cellular automaton modeling of biological pattern formation. Characterization, examples, and analysis. With a foreword by Philip K. Maini. 2nd edition. Zbl 1403.37001Deutsch, Andreas; Dormann, Sabine 4 2018 The impact of exclusion processes on angiogenesis models. Zbl 1406.35160Pillay, Samara; Byrne, Helen M.; Maini, Philip K. 3 2018 Inferring parameters of prey switching in a 1 predator-2 prey plankton system with a linear preference tradeoff. Zbl 1406.92681Piltz, Sofia H.; Harhanen, Lauri; Porter, Mason A.; Maini, Philip K. 2 2018 Logistic proliferation of cells in scratch assays is delayed. Zbl 1368.92112Jin, Wang; Shah, Esha T.; Penington, Catherine J.; McCue, Scott W.; Maini, Philip K.; Simpson, Matthew J. 11 2017 A predator-2 prey fast-slow dynamical system for rapid predator evolution. Zbl 1382.37101Piltz, Sofia H.; Veerman, Frits; Maini, Philip K.; Porter, Mason A. 9 2017 An age-structured multi-strain epidemic model for antigenically diverse infectious diseases: a multi-locus framework. Zbl 1352.92144Cherif, Alhaji; Dyson, Janet; Maini, Philip K.; Gupta, Sunetra 4 2017 The critical domain size of stochastic population models. Zbl 1358.92081Reimer, Jody R.; Bonsall, Michael B.; Maini, Philip K. 3 2017 Fast solvers for optimal control problems from pattern formation. Zbl 1349.92035Stoll, Martin; Pearson, John W.; Maini, Philip K. 8 2016 Approximating the critical domain size of integrodifference equations. Zbl 1355.92096Reimer, Jody R.; Bonsall, Michael B.; Maini, Philip K. 8 2016 From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations. Zbl 1350.92005Guerrero, Pilar; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás 3 2016 Vascular phenotype identification and anti-angiogenic treatment recommendation: a pseudo-multiscale mathematical model of angiogenesis. Zbl 1343.92226Hutchinson, L. G.; Gaffney, E. A.; Maini, P. K.; Wagg, J.; Phipps, A.; Byrne, H. M. 1 2016 Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M. 13 2015 Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen 10 2015 Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate. Zbl 1412.92139Korvasová, K.; Gaffney, E. A.; Maini, P. K.; Ferreira, M. A.; Klika, V. 9 2015 Multiscale modelling of intestinal crypt organization and carcinogenesis. Zbl 1346.92032Fletcher, Alexander G.; Murray, Philip J.; Maini, Philip K. 6 2015 What has mathematics done for biology? Zbl 1317.00013 2 2015 Models, measurement and inference in epithelial tissue dynamics. Zbl 1326.92016Maclaren, Oliver J.; Byrne, Helen M.; Fletcher, Alexander G.; Maini, Philip K. 1 2015 A general reaction-diffusion model of acidity in cancer invasion. Zbl 1288.35186McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K. 25 2014 Prey switching with a linear preference trade-off. Zbl 1348.37125Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K. 25 2014 HTLV-I infection: A dynamic struggle between viral persistence and host immunity. Zbl 1412.92289Lim, Aaron G.; Maini, Philip K. 14 2014 Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership. Zbl 1329.92028Allena, R.; Maini, P. K. 6 2014 Modelling collective cell behaviour. Zbl 1308.35315Markham, Deborah C.; Baker, Ruth E.; Maini, Philip K. 4 2014 Comparing methods for modelling spreading cell fronts. Zbl 1412.92024Markham, Deborah C.; Simpson, Matthew J.; Maini, Philip K.; Gaffney, Eamonn A.; Baker, Ruth E. 3 2014 An ordinary differential equation model for full thickness wounds and the effects of diabetes. Zbl 1303.92041Bowden, L. G.; Maini, P. K.; Moulton, D. E.; Tang, J. B.; Wang, X. T.; Liu, Paul Y.; Byrne, H. M. 3 2014 Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. Zbl 1303.92032McGillen, Jessica B.; Kelly, Catherine J.; Martínez-González, Alicia; Martin, Natasha K.; Gaffney, Eamonn A.; Maini, Philip K.; Pérez-García, Víctor M. 1 2014 Modelling biological invasions: individual to population scales at interfaces. Zbl 1397.92091Belmonte-Beitia, Juan; Woolley, T. E.; Scott, J. G.; Maini, P. K.; Gaffney, E. A. 15 2013 Dispersal, individual movement and spatial ecology. A mathematical perspective. Zbl 1264.92051 8 2013 A modified Oster-Murray-Harris mechanical model of morphogenesis. Zbl 1312.92012Vaughan, Benjamin L. jun.; Baker, Ruth E.; Kay, David; Maini, Philip K. 2 2013 A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049Mirams, Gary R.; Fletcher, Alexander G.; Maini, Philip K.; Byrne, Helen M. 12 2012 A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics. Zbl 1237.92033Murphy, Kelly E.; Hall, Cameron L.; Maini, Philip K.; Mccue, Scott W.; Mcelwain, D. L. Sean 9 2012 Incorporating chemical signalling factors into cell-based models of growing epithelial tissues. Zbl 1303.92017Smith, Aaron M.; Baker, Ruth E.; Kay, David; Maini, Philip K. 4 2012 Applications of mathematical analysis to tumour acidity modelling. Zbl 1260.34092McGillen, Jessica B.; Martin, Natasha K.; Robey, Ian F.; Gaffney, Eamonn A.; Maini, Philip K. 3 2012 A mechanochemical model of striae distensae. Zbl 1316.92040Gilmore, Stephen J.; Vaughan, Benjamin L. jun.; Madzvamuse, Anotida; Maini, Philip K. 1 2012 Modelling acidosis and the cell cycle in multicellular tumour spheroids. Zbl 1397.92374Tindall, Marcus J.; Dyson, Louise; Smallbone, Kieran; Maini, Philip K. 1 2012 Modelling the within-host growth of viral infections in insects. Zbl 1337.92221White, S. M.; Burden, J. P.; Maini, P. K.; Hails, R. S. 1 2012 A mathematical model of tumour and blood pHe regulation: the \(\mathrm{HCO}^-_3/\mathrm{CO}_2\) buffering system. Zbl 1215.92032Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Gillies, Robert J.; Robey, Ian F.; Maini, Philip K. 5 2011 The clock and wavefront model revisited. Zbl 1397.92086Murray, Philip J.; Maini, Philip K.; Baker, Ruth E. 3 2011 Tumour angiogenesis: the gap between theory and experiments. Zbl 1331.92069Schofield, J. W.; Gaffney, E. A.; Gatenby, R. A.; Maini, P. K. 3 2011 Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. Zbl 1202.92010Madzvamuse, Anotida; Gaffney, Eamonn A.; Maini, Philip K. 48 2010 A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113Osborne, J. M.; Walter, A.; Kershaw, S. K.; Mirams, G. R.; Fletcher, A. G.; Pathmanathan, P.; Gavaghan, D.; Jensen, O. E.; Maini, P. K.; Byrne, H. M. 29 2010 An efficient and robust numerical algorithm for estimating parameters in Turing systems. Zbl 1195.92005Garvie, Marcus R.; Maini, Philip K.; Trenchea, Catalin 19 2010 On the proportion of cancer stem cells in a tumour. Zbl 1407.92045Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F. 17 2010 Tumour-stromal interactions in acid-mediated invasion: a mathematical model. Zbl 1410.92036Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K. 13 2010 A non-linear degenerate equation for direct aggregation and traveling wave dynamics. Zbl 1207.35089Sánchez-Garduño, Faustino; Maini, Philip K.; Pérez-Velázquez, Judith 7 2010 Refining self-propelled particle models for collective behaviour. Zbl 1215.92072Yates, Christian A.; Baker, Ruth E.; Erban, Radek; Maini, Philip K. 4 2010 Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M. 44 2009 Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038Pitt-Francis, Joe; Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Fletcher, Alexander G.; Mirams, Gary R.; Murray, Philip; Osborne, James M.; Walter, Alex; Chapman, S. Jon; Garny, Alan; Van Leeuwen, Ingeborg M. M.; Maini, Philip K.; Rodríguez, Blanca; Waters, Sarah L.; Whiteley, Jonathan P.; Byrne, Helen M.; Gavaghan, David J. 20 2009 HIV/AIDS epidemic in India and predicting the impact of the national response: mathematical modeling and analysis. Zbl 1178.92048Rao, Arni S. R. Srinivasa; Thomas, Kurien; Sudhakar, Kurapati; Maini, Philip K. 6 2009 Directional persistence and the optimality of run-and-tumble chemotaxis. Zbl 1403.92038Nicolau, Dan V. jun.; Armitage, Judith P.; Maini, Philip K. 4 2009 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 203 2008 Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P. 69 2008 Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell. Zbl 1166.92008Tindall, M. J.; Porter, S. L.; Maini, P. K.; Gaglia, G.; Armitage, J. P. 32 2008 Partial differential equations for self-organization in cellular and developmental biology. Zbl 1159.35003Baker, R. E.; Gaffney, E. A.; Maini, P. K. 28 2008 Mathematical modelling of tumour acidity. Zbl 1400.92287Smallbone, Kieran; Gatenby, Robert A.; Maini, Philip K. 12 2008 A theoretical study of the response of vascular tumours to different types of chemotherapy. Zbl 1148.92020Panovska, Jasmina; Byrne, Helen M.; Maini, Philip K. 7 2008 A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. Zbl 1397.92307Addison-Smith, B.; McElwain, D. L. S.; Maini, P. K. 6 2008 Mathematical models of avascular tumor growth. Zbl 1117.93011Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K. 160 2007 Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. Zbl 1122.65076Madzvamuse, Anotida; Maini, Philip K. 47 2007 A mechanism for morphogen-controlled domain growth. Zbl 1114.92007Baker, R. E.; Maini, P. K. 19 2007 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049Bellomo, N.; Maini, P. K. 12 2007 Metabolic changes during carcinogenesis: potential impact on invasiveness. Zbl 1450.92030Smallbone, Kieran; Gatenby, Robert A.; Gillies, Robert J.; Maini, Philip K.; Gavaghan, David J. 11 2007 Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K. 10 2007 Stability of spikes in the shadow Gierer-Meinhardt system with robin boundary conditions. Zbl 1163.37348Maini, Philip K.; Wei, Juncheng; Winter, Matthias 8 2007 Aggregative movement and front propagation for bi-stable population models. Zbl 1135.92027Maini, Philip K.; Malaguti, Luisa; Marcelli, Cristina; Matucci, Serena 7 2007 Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold. Zbl 1145.92013Yamada, H.; Nakagaki, T.; Baker, R. E.; Maini, P. K. 5 2007 Quiescence as a mechanism for cyclical hypoxia and acidosis. Zbl 1145.92018Smallbone, Kieran; Gavaghan, David J.; Maini, Philip K.; Brady, J. Michael 2 2007 A study of the temperature dependence of bienzyme systems and enzymatic chains. Zbl 1121.92034Kotov, N. V.; Baker, R. E.; Dawidov, D. A.; Platov, K. V.; Valeyev, N. V.; Skorinkin, A. I.; Maini, P. K. 1 2007 Travelling gradients in interacting morphogen systems. Zbl 1120.92006Baker, R. E.; Maini, P. K. 1 2007 Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023Alarcón, Tomás; Owen, Markus R.; Byrne, Helen M.; Maini, Philip K. 23 2006 Mode transitions in a model reaction-diffusion system driven by domain growth and noise. Zbl 1334.92034Barrass, Iain; Crampin, Edmund J.; Maini, Philip K. 19 2006 Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K. 18 2006 Diffusion-aggregation processes with mono-stable reaction terms. Zbl 1116.35099Maini, Philip K.; Malaguti, Luisa; Marcelli, Cristina; Matucci, Serena 15 2006 A mathematical investigation of a Clock and Wavefront model for somitogenesis. Zbl 1094.92007Baker, R. E.; Schnell, S.; Maini, P. K. 11 2006 Mixed-mode pattern in Doublefoot mutant mouse limb – Turing reaction-diffusion model on a growing domain during limb development. Zbl 1447.92047Miura, Takashi; Shiota, Kohei; Morriss-Kay, Gillian; Maini, Philip K. 11 2006 The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022Betteridge, Russell; Owen, Markus R.; Byrne, Helen M.; Alarcón, Tomás; Maini, Philip K. 9 2006 An analysis of B cell selection mechanisms in germinal centers. Zbl 1098.92041Meyer-Hermann, Michael E.; Maini, Philip K.; Iber, Dagmar 6 2006 Mathematical models in physiology. Zbl 1152.92311Gavaghan, David; Garny, Alan; Maini, Philip K.; Kohl, Peter 3 2006 A mathematical model for simultaneous spatio-temporal dynamics of calcium and inositol 1,4,5-trisphosphate in madin-darby canine kidney epithelial cells. Zbl 1296.92116Roose, T.; Chapman, S. J.; Maini, P. K. 1 2006 Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048Korobeinikov, Andrei; Maini, Philip K. 147 2005 Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini. Zbl 1154.37007Deutsch, Andreas; Dormann, Sabine 60 2005 A multiple scale model for tumor growth. Zbl 1107.92019Alarcón, T.; Byrne, H. M.; Maini, P. K. 42 2005 A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J. 34 2005 Complex pattern formation in reaction-diffusion systems with spatially varying parameters. Zbl 1065.35145Page, Karen M.; Maini, Philip K.; Monk, Nicholas A. M. 29 2005 The role of acidity in solid tumour growth and invasion. Zbl 1445.92082Smallbone, Kieran; Gavaghan, David J.; Gatenby, Robert A.; Maini, Philip K. 22 2005 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,309 Authors 86 Maini, Philip Kumar 43 Simpson, Matthew J. 39 Byrne, Helen Mary 29 Sherratt, Jonathan A. 28 Chaplain, Mark A. J. 26 Baker, Ruth Elizabeth 25 Madzvamuse, Anotida 23 Gaffney, Eamonn A. 20 Bellomo, Nicola 19 Wei, Juncheng 17 Painter, Kevin J. 17 Winkler, Michael 16 Perthame, Benoît 16 Tao, Youshan 15 Krause, Andrew L. 15 McCue, Scott William 14 Lorenzi, Tommaso 13 Delitala, Marcello Edoardo 13 Kolokolnikov, Theodore 13 Lowengrub, John Samuel 13 McElwain, D. L. Sean 13 Ward, Michael J. 12 Alarcón, Tomás 12 Lin, Zhigui 12 Oden, John Tinsley 12 Vermolen, Fred J. 11 Schnell, Santiago 11 van Gorder, Robert Ashton 11 Winter, Matthias 10 Anderson, Alexander R. A. 10 Bersani, Alberto Maria 10 Fletcher, Alexander G. 10 Klika, Václav 10 Landman, Kerry A. 10 Owolabi, Kolade Matthew 10 Wang, Jinliang 10 Wang, Zhian 9 Calvez, Vincent 9 Dehghan Takht Fooladi, Mehdi 9 Elaiw, Ahmed M. 9 Malaguti, Luisa 9 Mu, Chunlai 9 Soler, Juan S. 9 Teng, Zhi-dong 8 Bianca, Carlo 8 Garzón-Alvarado, Diego Alexander 8 Hillen, Thomas 8 Lima, Ernesto A. B. F. 8 Murray, James Dickson 8 Plaza, Ramón G. 8 Tian, Canrong 8 van Heijster, Peter 7 Alshamrani, Noura H. 7 d’Onofrio, Alberto 7 Flegg, Jennifer A. 7 Jeffrey, Mike R. 7 Korobeinikov, Andrei 7 Lachowicz, Mirosław 7 Newman, Stuart A. 7 Osborne, James M. 7 Pareschi, Lorenzo 7 Sánchez-Garduño, Faustino 7 Sgura, Ivonne 7 Stéphanou, Angélique 7 Sun, Guiquan 7 Surulescu, Christina 7 Toscani, Giuseppe 7 Wang, Weiming 7 Zhang, Lai 6 Banerjee, Malay 6 Bellouquid, Abdelghani 6 Binder, Benjamin James 6 Bowong, Samuel 6 Cai, Yongli 6 Champneys, Alan R. 6 Cho, Heyrim 6 Cristini, Vittorio 6 Dimarco, Giacomo 6 Doelman, Arjen 6 El-Hachem, Maud 6 Gatenby, Robert A. 6 Gerisch, Alf 6 Herrero, Miguel Ángel 6 Jin, Wang 6 Jin, Zhen 6 King, John Robert 6 Kolbe, Niklas 6 Kuang, Yang 6 Liu, Bin 6 López, Álvaro G. 6 Marcelli, Cristina 6 Owen, Markus Roger 6 Preziosi, Luigi 6 Sanjuán, Miguel A. F. 6 Sfakianakis, Nikolaos I. 6 Tang, Min 6 Volpert, Vitaly A. 6 Webb, Glenn Francis 5 Alber, Mark S. 5 Barreira, Raquel ...and 3,209 more Authors all top 5 Cited in 254 Serials 179 Bulletin of Mathematical Biology 176 Journal of Theoretical Biology 129 Journal of Mathematical Biology 72 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 65 Mathematical Biosciences 45 Mathematical Biosciences and Engineering 43 Applied Mathematics and Computation 42 Computers & Mathematics with Applications 42 Mathematical and Computer Modelling 40 Discrete and Continuous Dynamical Systems. Series B 38 Nonlinear Analysis. Real World Applications 34 Journal of Differential Equations 34 Physica D 33 Applied Mathematical Modelling 31 Journal of Computational Physics 30 Journal of Mathematical Chemistry 27 Journal of Mathematical Analysis and Applications 26 Applied Mathematics Letters 25 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 24 Physica A 23 Chaos, Solitons and Fractals 21 Abstract and Applied Analysis 21 Communications in Nonlinear Science and Numerical Simulation 21 Mathematical Modelling of Natural Phenomena 20 International Journal of Biomathematics 19 Journal of Nonlinear Science 17 Chaos 16 Computer Methods in Applied Mechanics and Engineering 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Journal of Computational and Applied Mathematics 15 Mathematics and Computers in Simulation 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 SIAM Journal on Applied Mathematics 15 Computational and Applied Mathematics 15 SIAM Journal on Applied Dynamical Systems 14 Acta Applicandae Mathematicae 14 Journal of Biological Dynamics 14 Discrete and Continuous Dynamical Systems. Series S 12 Nonlinearity 12 Nonlinear Dynamics 12 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 11 Theoretical Population Biology 11 Journal of Dynamics and Differential Equations 11 Discrete and Continuous Dynamical Systems 11 Advances in Difference Equations 11 Computational & Mathematical Methods in Medicine 10 Journal of Statistical Physics 10 Journal of Biological Systems 9 Mathematical Methods in the Applied Sciences 9 Journal of Scientific Computing 9 SIAM Journal on Mathematical Analysis 8 European Journal of Applied Mathematics 8 Journal of Applied Mathematics 8 Journal of Applied Mathematics and Computing 8 AIMS Mathematics 7 Applied Numerical Mathematics 7 Discrete Dynamics in Nature and Society 7 Communications on Pure and Applied Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of Applied Analysis and Computation 5 Applicable Analysis 5 Journal of Mathematical Physics 5 SIAM Journal on Scientific Computing 5 Complexity 5 Multiscale Modeling & Simulation 4 International Journal of Engineering Science 4 Numerical Methods for Partial Differential Equations 4 Communications in Partial Differential Equations 4 SIAM Review 4 NoDEA. Nonlinear Differential Equations and Applications 4 Mathematics and Mechanics of Solids 4 The ANZIAM Journal 4 Boundary Value Problems 4 Journal of Physics A: Mathematical and Theoretical 4 Kinetic and Related Models 4 Advances in Applied Mathematics and Mechanics 4 Journal of Applied Nonlinear Dynamics 4 International Journal of Applied and Computational Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of the Franklin Institute 3 Numerische Mathematik 3 Applied Mathematics and Mechanics. (English Edition) 3 Dynamics and Stability of Systems 3 Applications of Mathematics 3 Numerical Algorithms 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Modelling and Control 3 Mathematical Modelling and Analysis 3 Archives of Computational Methods in Engineering 3 Computational Biology and Chemistry 3 Journal of Statistical Mechanics: Theory and Experiment 3 Networks and Heterogeneous Media 3 Journal of Computational and Graphical Statistics 3 Applied Mathematics and Nonlinear Sciences 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Rocky Mountain Journal of Mathematics ...and 154 more Serials all top 5 Cited in 43 Fields 1,619 Biology and other natural sciences (92-XX) 1,040 Partial differential equations (35-XX) 311 Numerical analysis (65-XX) 301 Ordinary differential equations (34-XX) 162 Dynamical systems and ergodic theory (37-XX) 74 Fluid mechanics (76-XX) 73 Probability theory and stochastic processes (60-XX) 61 Statistical mechanics, structure of matter (82-XX) 57 Systems theory; control (93-XX) 55 Mechanics of deformable solids (74-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 40 Computer science (68-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Statistics (62-XX) 14 Integral equations (45-XX) 13 Classical thermodynamics, heat transfer (80-XX) 11 Difference and functional equations (39-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 8 Optics, electromagnetic theory (78-XX) 8 Operations research, mathematical programming (90-XX) 7 Operator theory (47-XX) 6 History and biography (01-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 4 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.