×

Maini, Philip Kumar

Compute Distance To:
Author ID: maini.philip-k Recent zbMATH articles by "Maini, Philip Kumar"
Published as: Maini, Philip K.; Maini, P. K.; Maini, Philip; Maini, Philip Kumar; Maini, P.
Homepage: https://people.maths.ox.ac.uk/maini/
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr
all top 5

Co-Authors

8 single-authored
34 Byrne, Helen Mary
21 Sherratt, Jonathan A.
19 Baker, Ruth Elizabeth
19 Gaffney, Eamonn A.
17 Murray, James Dickson
15 Alarcón, Tomás
11 Gatenby, Robert A.
8 Gavaghan, David J.
8 Olsen, Luke
8 Sánchez-Garduño, Faustino
7 Madzvamuse, Anotida
7 Othmer, Hans G.
7 Schnell, Santiago
6 Cruywagen, Gerhard C.
6 Martin, Natasha K.
6 Owen, Markus Roger
6 Smallbone, Kieran
5 Barrio, Rafael A.
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 Wathen, Andrew John
3 Dallon, John C.
3 Deutsch, Andreas
3 Gillies, Robert J.
3 Guerrero, Pilar
3 Lewis, Mark Alun
3 McGillen, Jessica B.
3 Mirams, Gary R.
3 Murray, Philip J.
3 Oster, George F.
3 Piltz, Sofia H.
3 Pitt-Francis, Joe M.
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 Bellomo, Nicola
2 Bonsall, Michael B.
2 Brady, John Michael
2 Burke, Meghan A.
2 Dormann, Sabine
2 Enderling, Heiko
2 Garny, Alan
2 Kappos, Efthimios
2 Klika, Václav
2 Krause, Andrew L.
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 Osborne, James M.
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 Asllani, Malbor
1 Atkinson, Gary W.
1 Bader, Samuel B.
1 Barrass, Iain
1 Batey, Mavis
1 Behrenbruch, C. P.
1 Belmonte-Beitia, Juan
...and 176 more Co-Authors
all top 5

Serials

40 Bulletin of Mathematical Biology
30 Journal of Mathematical Biology
30 Journal of Theoretical Biology
8 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 Mathematical Medicine and Biology
3 Mathematical and Computer Modelling
3 Discrete and Continuous Dynamical Systems. Series B
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

Publications by Year

Citations contained in zbMATH Open

184 Publications have been cited 2,981 times in 1,837 Documents Cited by Year
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
195
2008
Mathematical models of avascular tumor growth. Zbl 1117.93011
Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K.
150
2007
Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
142
2005
Reaction and diffusion on growing domains: scenarios for robust pattern formation. Zbl 1323.92028
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K.
122
1999
A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence. Zbl 1062.92061
Korobeinikov, Andrei; Maini, Philip K.
112
2004
Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006
Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P.
61
2008
Turing instabilities in general systems. Zbl 1002.92002
Satnoianu, Razvan A.; Menzinger, Michael; Maini, Philip K.
59
2000
Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions. Zbl 0829.92001
Dillon, R.; Maini, P. K.; Othmer, Hans G.
59
1994
Travelling waves in a wound healing assay. Zbl 1055.92025
Maini, P. K.; McElwain, D. L. S.; Leavesley, D.
59
2004
A moving grid finite element method applied to a model biological pattern generator. Zbl 1029.65113
Madzvamuse, Anotida; Wathen, Andrew J.; Maini, Philip K.
55
2003
Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini. Zbl 1154.37007
Deutsch, Andreas; Dormann, Sabine
55
2005
Pattern formation in reaction-diffusion models with nonuniform domain growth. Zbl 1334.92035
Crampin, E. J.; Hackborn, W. W.; Maini, P. K.
53
2002
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Zbl 1323.92026
Barrio, R. A.; Varea, C.; Aragón, J. L.; Maini, P. K.
52
1999
Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. Zbl 1202.92010
Madzvamuse, Anotida; Gaffney, Eamonn A.; Maini, Philip K.
48
2010
Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. Zbl 1122.65076
Madzvamuse, Anotida; Maini, Philip K.
47
2007
Enzyme kinetics at high enzyme concentration. Zbl 1323.92099
Schnell, S.; Maini, P. K.
47
2000
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation. Zbl 0725.92004
Maini, P. K.; Myerscough, M. R.; Winters, K. H.; Murray, J. D.
45
1991
The effect of growth and curvature on pattern formation. Zbl 1073.35117
Plaza, R. G.; Sánchez-Garduño, F.; Padilla, P.; Barrio, R. A.; Maini, P. K.
45
2004
Development and applications of a model for cellular response to multiple chemotactic cues. Zbl 0969.92003
Painter, K. J.; Maini, P. K.; Othmer, H. G.
42
2000
Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M.
42
2009
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
40
2005
Diffusion driven instability in an inhomogeneous domain. Zbl 0758.92003
Benson, Debbie L.; Sherratt, Jonathan A.; Maini, Philip K.
38
1993
Travelling wave phenomena in some degenerate reaction-diffusion equations. Zbl 0821.35085
Sánchez-Garduño, Faustino; Maini, Philip K.
37
1995
Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model. Zbl 1016.35035
Crampin, E. J.; Gaffney, E. A.; Maini, P. K.
35
2002
A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.
34
2005
Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations. Zbl 0822.92021
Sánchez-Garduño, Faustino; Maini, Philip K.
34
1994
Pattern formation in a generalized chemotactic model. Zbl 1002.92511
Myerscough, M. R.; Maini, P. K.; Painter, K. J.
32
1998
Cellular pattern formation during Dictyostelium aggregation. Zbl 0888.92005
Höfer, Thomas; Sherratt, Jonathan A.; Maini, Philip K.
30
1995
Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell. Zbl 1166.92008
Tindall, M. J.; Porter, S. L.; Maini, P. K.; Gaglia, G.; Armitage, J. P.
29
2008
A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113
Osborne, 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.
27
2010
Complex pattern formation in reaction-diffusion systems with spatially varying parameters. Zbl 1065.35145
Page, Karen M.; Maini, Philip K.; Monk, Nicholas A. M.
26
2005
Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation. Zbl 1021.34038
Satnoianu, R. A.; Maini, P. K.; Garduno, F. S.; Armitage, J. P.
25
2001
A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Zbl 1334.92039
Madzvamuse, Anotida; Thomas, Roger D. K.; Maini, Philip K.; Wathen, Andrew J.
25
2002
Mathematical modeling of corneal epithelial wound healing. Zbl 0818.92007
Dale, Paul D.; Maini, Philip K.; Sherratt, Jonathan A.
25
1994
Partial differential equations for self-organization in cellular and developmental biology. Zbl 1159.35003
Baker, R. E.; Gaffney, E. A.; Maini, P. K.
23
2008
Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023
Alarcón, Tomás; Owen, Markus R.; Byrne, Helen M.; Maini, Philip K.
23
2006
Unravelling the Turing bifurcation using spatially varying diffusion coefficients. Zbl 0919.92006
Benson, Debbie L.; Maini, Philip K.; Sherratt, Jonathan A.
22
1998
Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations. Zbl 0994.92024
Schnell, S.; Maini, P. K.
22
2002
Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0767.92004
Maini, Philip K.; Benson, Debbie L.; Sherratt, Jonathan A.
21
1992
A general reaction-diffusion model of acidity in cancer invasion. Zbl 1288.35186
McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K.
21
2014
A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. Zbl 0891.92016
Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K.; Arnold, Frank
20
1997
Prey switching with a linear preference trade-off. Zbl 1348.37125
Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K.
20
2014
Travelling wave phenomena in nonlinear diffusion degenerate Nagumo equations. Zbl 0887.35073
Sánchez-Garduño, Faustino; Maini, Philip K.
19
1997
Mode transitions in a model reaction-diffusion system driven by domain growth and noise. Zbl 1334.92034
Barrass, Iain; Crampin, Edmund J.; Maini, Philip K.
19
2006
Investigating a simple model of cutaneous wound healing angiogenesis. Zbl 1012.92020
Gaffney, E. A.; Pugh, K.; Maini, P. K.; Arnold, F.
19
2002
A mechanism for morphogen-controlled domain growth. Zbl 1114.92007
Baker, R. E.; Maini, P. K.
19
2007
A chemotactic model for the advance and retreat of the primitive streak in avian development. Zbl 1323.92036
Painter, K. J.; Maini, P. K.; Othmer, H. G.
19
2000
Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038
Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K.
18
2006
Pattern formation in spatially heterogeneous Turing reaction-diffusion models. Zbl 1024.35045
Page, Karen; Maini, Philip K.; Monk, Nicholas A. M.
17
2003
An efficient and robust numerical algorithm for estimating parameters in Turing systems. Zbl 1195.92005
Garvie, Marcus R.; Maini, Philip K.; Trenchea, Catalin
16
2010
Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS). Zbl 1001.35061
Satnoianu, Razvan A.; Maini, Philip K.; Menzinger, Michael
16
2001
Reaction-diffusion models for biological pattern formation. Zbl 1004.92002
Crampin, E. J.; Maini, P. K.
16
2001
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-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.
16
2009
The dynamics and pinning of a spike for a reaction-diffusion system. Zbl 1032.35029
Ward, Michael J.; McInerney, Darragh; Houston, Paul; Gavaghan, David; Maini, Philip
15
2002
A mathematical model for fibro-proliferative wound healing disorders. Zbl 0865.92010
Olsen, Luke; Sherratt, Jonathan A.; Maini, Philip K.
15
1996
Phase differences in reaction-diffusion-advection systems and applications to morphogenesis. Zbl 0843.35041
Perumpanani, Abbey J.; Sherratt, Jonathan A.; Maini, Philip K.
14
1995
An approximation to a sharp type solution of a density-dependent reaction-diffusion equation. Zbl 0803.35074
Sánchez Garduño, F.; Maini, P. K.
14
1994
Diffusion-aggregation processes with mono-stable reaction terms. Zbl 1116.35099
Maini, Philip K.; Malaguti, Luisa; Marcelli, Cristina; Matucci, Serena
14
2006
Spatial and spatio-temporal patterns in a cell-haptotaxis model. Zbl 0716.92004
Maini, P. K.
13
1989
Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells. Zbl 1334.92041
Miura, Takashi; Maini, Philip K.
13
2004
Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M.
13
2015
A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049
Mirams, Gary R.; Fletcher, Alexander G.; Maini, Philip K.; Byrne, Helen M.
12
2012
Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients. Zbl 0784.92004
Benson, D. L.; Maini, P. K.; Sherratt, J. A.
12
1993
Modelling biological invasions: individual to population scales at interfaces. Zbl 1397.92091
Belmonte-Beitia, Juan; Woolley, T. E.; Scott, J. G.; Maini, P. K.; Gaffney, E. A.
12
2013
On the proportion of cancer stem cells in a tumour. Zbl 1407.92045
Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F.
12
2010
Biological pattern formation on two-dimensional spatial domains: A nonlinear bifurcation analysis. Zbl 0892.92003
Cruywagen, Gerhard C.; Maini, Philip K.; Murray, James D.
11
1997
Spatially varying equilibria of mechanical models: Application to dermal wound contraction. Zbl 0888.92021
Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A.
11
1998
A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: investigation of the current protocol through theoretical modelling results. Zbl 1334.92207
Ribba, B.; Marron, K.; Agur, Z.; Alarcón, T.; Maini, P. K.
11
2005
HTLV-I infection: A dynamic struggle between viral persistence and host immunity. Zbl 1412.92289
Lim, Aaron G.; Maini, Philip K.
11
2014
Logistic proliferation of cells in scratch assays is delayed. Zbl 1368.92112
Jin, Wang; Shah, Esha T.; Penington, Catherine J.; McCue, Scott W.; Maini, Philip K.; Simpson, Matthew J.
11
2017
A mathematical investigation of a Clock and Wavefront model for somitogenesis. Zbl 1094.92007
Baker, R. E.; Schnell, S.; Maini, P. K.
11
2006
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
11
2007
Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen
11
2015
Mathematical modelling of tumour acidity. Zbl 1400.92287
Smallbone, Kieran; Gatenby, Robert A.; Maini, Philip K.
11
2008
Boundary-driven instability. Zbl 0886.35075
Maini, P. K.; Myerscough, M. R.
10
1997
Mathematical modelling of anisotropy in fibrous connective tissue. Zbl 0953.92011
Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A.; Dallon, John
10
1999
A nonlinear analysis of a mechanical model for biological pattern formation. Zbl 0667.92001
Maini, P. K.; Murray, J. D.
10
1988
Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. Zbl 0714.92006
Frenzen, C. L.; Maini, P. K.
9
1988
A shooting argument approach to a sharp-type solution for nonlinear degenerate Fisher-KPP equations. Zbl 0876.35066
Sánchez-Garduño, Faustino; Maini, Philip K.; Kappos, M. E.
9
1996
Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing. Zbl 0904.92024
Dale, Paul D.; Sherratt, Jonathan A.; Maini, Philip K.
9
1997
Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081
Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K.
9
2007
Size-dependent symmetry breaking in models for morphogenesis. Zbl 0992.92001
Barrio, R. A.; Maini, P. K.; Aragón, J. L.; Torres, M.
9
2002
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
9
2020
The use of hybrid cellular automaton models for improving cancer therapy. Zbl 1116.92314
Ribba, B.; Alarcón, T.; Marron, K.; Maini, P. K.; Agur, Z.
9
2004
A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics. Zbl 1237.92033
Murphy, Kelly E.; Hall, Cameron L.; Maini, Philip K.; Mccue, Scott W.; Mcelwain, D. L. Sean
9
2012
Tumour-stromal interactions in acid-mediated invasion: a mathematical model. Zbl 1410.92036
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K.
9
2010
Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Zbl 1323.92031
Sekimura, Toshio; Zhu, Mei; Cook, Julian; Maini, Philip K.; Murray, James D.
9
1999
A predator-2 prey fast-slow dynamical system for rapid predator evolution. Zbl 1382.37101
Piltz, Sofia H.; Veerman, Frits; Maini, Philip K.; Porter, Mason A.
9
2017
The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022
Betteridge, Russell; Owen, Markus R.; Byrne, Helen M.; Alarcón, Tomás; Maini, Philip K.
9
2006
Nonlinear pattern selection in a mechanical model for morphogenesis. Zbl 0597.92003
Perelson, A. S.; Maini, P. K.; Murray, J. D.; Hyman, J. M.; Oster, G. F.
9
1986
Simpel modelling of extracellular matrix alignment in dermal wound healing. I: Cell flux induced alignment. Zbl 0912.92017
Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A.; Marchant, Ben
8
1998
Stability of spikes in the shadow Gierer-Meinhardt system with robin boundary conditions. Zbl 1163.37348
Maini, Philip K.; Wei, Juncheng; Winter, Matthias
8
2007
Approximating the critical domain size of integrodifference equations. Zbl 1355.92096
Reimer, Jody R.; Bonsall, Michael B.; Maini, Philip K.
8
2016
Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy. Zbl 1015.92019
Gatenby, R. A.; Maini, P. K.; Gawlinski, E. T.
8
2002
Dispersal, individual movement and spatial ecology. A mathematical perspective. Zbl 1264.92051
8
2013
Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate. Zbl 1412.92139
Korvasová, K.; Gaffney, E. A.; Maini, P. K.; Ferreira, M. A.; Klika, V.
8
2015
A non-linear degenerate equation for direct aggregation and traveling wave dynamics. Zbl 1207.35089
Sánchez-Garduño, Faustino; Maini, Philip K.; Pérez-Velázquez, Judith
7
2010
Travelling waves in wound healing. Zbl 1003.92512
Dale, Paul D.; Olsen, Luke; Maini, Philip K.; Sherratt, Jonathan A.
7
1995
A predictive model for color pattern formation in the butterfly wing of Papilio dardanus. Zbl 1007.92007
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.; Sekimura, Toshio
7
2002
The speed of corneal epithelial wound healing. Zbl 0791.92013
Dale, P. D.; Sherratt, J. A.; Maini, P. K.
7
1994
Obituary: Edmund John Crampin (1973–2021). Zbl 1480.01049
Maini, Philip K.; Hunter, Peter J.; Gawthrop, Peter J.; Smith, Nic P.
1
2022
Isolating patterns in open reaction-diffusion systems. Zbl 1467.92034
Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A.
6
2021
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. Zbl 1434.35250
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
9
2020
A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels. Zbl 1453.92093
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso
5
2020
Mix and match: phenotypic coexistence as a key facilitator of cancer invasion. Zbl 1432.92031
Strobl, 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 1432.92016
Giniūnaitė, Rasa; Baker, Ruth E.; Kulesa, Paul M.; Maini, Philip K.
3
2020
A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M.
3
2020
The Turing model for biological pattern formation. Zbl 1439.92035
Maini, Philip K.; Woolley, Thomas E.
5
2019
A simple mechanochemical model for calcium signalling in embryonic epithelial cells. Zbl 1417.34103
Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J.
2
2019
Post-buckling behaviour of a growing elastic rod. Zbl 1411.35247
Almet, Axel A.; Byrne, Helen M.; Maini, Philip K.; Moulton, Derek E.
2
2019
Age structure can account for delayed logistic proliferation of scratch assays. Zbl 1417.92027
Ponce Bobadilla, Ana Victoria; Carraro, Thomas; Byrne, Helen M.; Maini, Philip K.; Alarcón, Tomás
2
2019
Patterns of non-normality in networked systems. Zbl 1420.92009
Muolo, Riccardo; Asllani, Malbor; Fanelli, Duccio; Maini, Philip K.; Carletti, Timoteo
1
2019
Mathematical oncology. Zbl 1390.00112
7
2018
The evolution of tumour composition during fractionated radiotherapy: implications for outcome. Zbl 1394.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M.
7
2018
Cellular automaton modeling of biological pattern formation. Characterization, examples, and analysis. With a foreword by Philip K. Maini. 2nd edition. Zbl 1403.37001
Deutsch, Andreas; Dormann, Sabine
3
2018
The impact of exclusion processes on angiogenesis models. Zbl 1406.35160
Pillay, 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 1406.92681
Piltz, Sofia H.; Harhanen, Lauri; Porter, Mason A.; Maini, Philip K.
1
2018
Logistic proliferation of cells in scratch assays is delayed. Zbl 1368.92112
Jin, 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 1382.37101
Piltz, 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 1352.92144
Cherif, Alhaji; Dyson, Janet; Maini, Philip K.; Gupta, Sunetra
4
2017
The critical domain size of stochastic population models. Zbl 1358.92081
Reimer, Jody R.; Bonsall, Michael B.; Maini, Philip K.
1
2017
Approximating the critical domain size of integrodifference equations. Zbl 1355.92096
Reimer, Jody R.; Bonsall, Michael B.; Maini, Philip K.
8
2016
Fast solvers for optimal control problems from pattern formation. Zbl 1349.92035
Stoll, Martin; Pearson, John W.; Maini, Philip K.
7
2016
From invasion to latency: intracellular noise and cell motility as key controls of the competition between resource-limited cellular populations. Zbl 1350.92005
Guerrero, 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 1343.92226
Hutchinson, L. G.; Gaffney, E. A.; Maini, P. K.; Wagg, J.; Phipps, A.; Byrne, H. M.
1
2016
Mesoscopic and continuum modelling of angiogenesis. Zbl 1330.92026
Spill, F.; Guerrero, P.; Alarcon, T.; Maini, P. K.; Byrne, H. M.
13
2015
Hybrid approaches for multiple-species stochastic reaction-diffusion models. Zbl 1352.65019
Spill, Fabian; Guerrero, Pilar; Alarcon, Tomas; Maini, Philip K.; Byrne, Helen
11
2015
Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate. Zbl 1412.92139
Korvasová, K.; Gaffney, E. A.; Maini, P. K.; Ferreira, M. A.; Klika, V.
8
2015
Multiscale modelling of intestinal crypt organization and carcinogenesis. Zbl 1346.92032
Fletcher, 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 1326.92016
Maclaren, Oliver J.; Byrne, Helen M.; Fletcher, Alexander G.; Maini, Philip K.
1
2015
A general reaction-diffusion model of acidity in cancer invasion. Zbl 1288.35186
McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K.
21
2014
Prey switching with a linear preference trade-off. Zbl 1348.37125
Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K.
20
2014
HTLV-I infection: A dynamic struggle between viral persistence and host immunity. Zbl 1412.92289
Lim, Aaron G.; Maini, Philip K.
11
2014
Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership. Zbl 1329.92028
Allena, R.; Maini, P. K.
6
2014
Modelling collective cell behaviour. Zbl 1308.35315
Markham, Deborah C.; Baker, Ruth E.; Maini, Philip K.
4
2014
An ordinary differential equation model for full thickness wounds and the effects of diabetes. Zbl 1303.92041
Bowden, L. G.; Maini, P. K.; Moulton, D. E.; Tang, J. B.; Wang, X. T.; Liu, Paul Y.; Byrne, H. M.
3
2014
Comparing methods for modelling spreading cell fronts. Zbl 1412.92024
Markham, Deborah C.; Simpson, Matthew J.; Maini, Philip K.; Gaffney, Eamonn A.; Baker, Ruth E.
2
2014
Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. Zbl 1303.92032
McGillen, 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 1397.92091
Belmonte-Beitia, Juan; Woolley, T. E.; Scott, J. G.; Maini, P. K.; Gaffney, E. A.
12
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 1312.92012
Vaughan, Benjamin L. jun.; Baker, Ruth E.; Kay, David; Maini, Philip K.
1
2013
A theoretical investigation of the effect of proliferation and adhesion on monoclonal conversion in the colonic crypt. Zbl 1337.92049
Mirams, 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 1237.92033
Murphy, 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 1303.92017
Smith, Aaron M.; Baker, Ruth E.; Kay, David; Maini, Philip K.
3
2012
Applications of mathematical analysis to tumour acidity modelling. Zbl 1260.34092
McGillen, Jessica B.; Martin, Natasha K.; Robey, Ian F.; Gaffney, Eamonn A.; Maini, Philip K.
3
2012
Modelling the within-host growth of viral infections in insects. Zbl 1337.92221
White, S. M.; Burden, J. P.; Maini, P. K.; Hails, R. S.
1
2012
A mechanochemical model of striae distensae. Zbl 1316.92040
Gilmore, Stephen J.; Vaughan, Benjamin L. jun.; Madzvamuse, Anotida; Maini, Philip K.
1
2012
Modelling acidosis and the cell cycle in multicellular tumour spheroids. Zbl 1397.92374
Tindall, Marcus J.; Dyson, Louise; Smallbone, Kieran; Maini, Philip K.
1
2012
A mathematical model of tumour and blood pHe regulation: the \(\mathrm{HCO}^-_3/\mathrm{CO}_2\) buffering system. Zbl 1215.92032
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Gillies, Robert J.; Robey, Ian F.; Maini, Philip K.
4
2011
Tumour angiogenesis: the gap between theory and experiments. Zbl 1331.92069
Schofield, J. W.; Gaffney, E. A.; Gatenby, R. A.; Maini, P. K.
3
2011
The clock and wavefront model revisited. Zbl 1397.92086
Murray, Philip J.; Maini, Philip K.; Baker, Ruth E.
3
2011
Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. Zbl 1202.92010
Madzvamuse, Anotida; Gaffney, Eamonn A.; Maini, Philip K.
48
2010
A hybrid approach to multi-scale modelling of cancer. Zbl 1211.37113
Osborne, 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.
27
2010
An efficient and robust numerical algorithm for estimating parameters in Turing systems. Zbl 1195.92005
Garvie, Marcus R.; Maini, Philip K.; Trenchea, Catalin
16
2010
On the proportion of cancer stem cells in a tumour. Zbl 1407.92045
Johnston, Matthew D.; Maini, Philip K.; Jonathan Chapman, S.; Edwards, Carina M.; Bodmer, Walter F.
12
2010
Tumour-stromal interactions in acid-mediated invasion: a mathematical model. Zbl 1410.92036
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K.
9
2010
A non-linear degenerate equation for direct aggregation and traveling wave dynamics. Zbl 1207.35089
Sánchez-Garduño, Faustino; Maini, Philip K.; Pérez-Velázquez, Judith
7
2010
Refining self-propelled particle models for collective behaviour. Zbl 1215.92072
Yates, Christian A.; Baker, Ruth E.; Erban, Radek; Maini, Philip K.
5
2010
Angiogenesis and vascular remodelling in normal and cancerous tissues. Zbl 1311.92034
Owen, Markus R.; Alarcón, Tomás; Maini, Philip K.; Byrne, Helen M.
42
2009
Chaste: A test-driven approach to software development for biological modelling. Zbl 1197.68038
Pitt-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.
16
2009
HIV/AIDS epidemic in India and predicting the impact of the national response: mathematical modeling and analysis. Zbl 1178.92048
Rao, Arni S. R. Srinivasa; Thomas, Kurien; Sudhakar, Kurapati; Maini, Philip K.
6
2009
Directional persistence and the optimality of run-and-tumble chemotaxis. Zbl 1403.92038
Nicolau, Dan V. jun.; Armitage, Judith P.; Maini, Philip K.
3
2009
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
195
2008
Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial populations. Zbl 1209.92006
Tindall, M. J.; Maini, P. K.; Porter, S. L.; Armitage, J. P.
61
2008
Overview of mathematical approaches used to model bacterial chemotaxis. I: The single cell. Zbl 1166.92008
Tindall, M. J.; Porter, S. L.; Maini, P. K.; Gaglia, G.; Armitage, J. P.
29
2008
Partial differential equations for self-organization in cellular and developmental biology. Zbl 1159.35003
Baker, R. E.; Gaffney, E. A.; Maini, P. K.
23
2008
Mathematical modelling of tumour acidity. Zbl 1400.92287
Smallbone, Kieran; Gatenby, Robert A.; Maini, Philip K.
11
2008
A theoretical study of the response of vascular tumours to different types of chemotherapy. Zbl 1148.92020
Panovska, Jasmina; Byrne, Helen M.; Maini, Philip K.
7
2008
A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. Zbl 1397.92307
Addison-Smith, B.; McElwain, D. L. S.; Maini, P. K.
6
2008
Mathematical models of avascular tumor growth. Zbl 1117.93011
Roose, Tiina; Chapman, S. Jonathan; Maini, Philip K.
150
2007
Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. Zbl 1122.65076
Madzvamuse, Anotida; Maini, Philip K.
47
2007
A mechanism for morphogen-controlled domain growth. Zbl 1114.92007
Baker, R. E.; Maini, P. K.
19
2007
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
11
2007
Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Zbl 1245.34081
Stamper, I. J.; Byrne, H. M.; Owen, M. R.; Maini, P. K.
9
2007
Stability of spikes in the shadow Gierer-Meinhardt system with robin boundary conditions. Zbl 1163.37348
Maini, Philip K.; Wei, Juncheng; Winter, Matthias
8
2007
Aggregative movement and front propagation for bi-stable population models. Zbl 1135.92027
Maini, 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 1145.92013
Yamada, H.; Nakagaki, T.; Baker, R. E.; Maini, P. K.
5
2007
Quiescence as a mechanism for cyclical hypoxia and acidosis. Zbl 1145.92018
Smallbone, Kieran; Gavaghan, David J.; Maini, Philip K.; Brady, J. Michael
2
2007
Metabolic changes during carcinogenesis: potential impact on invasiveness. Zbl 1450.92030
Smallbone, Kieran; Gatenby, Robert A.; Gillies, Robert J.; Maini, Philip K.; Gavaghan, David J.
2
2007
Travelling gradients in interacting morphogen systems. Zbl 1120.92006
Baker, R. E.; Maini, P. K.
1
2007
A study of the temperature dependence of bienzyme systems and enzymatic chains. Zbl 1121.92034
Kotov, N. V.; Baker, R. E.; Dawidov, D. A.; Platov, K. V.; Valeyev, N. V.; Skorinkin, A. I.; Maini, P. K.
1
2007
Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Zbl 1111.92023
Alarcón, 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 1334.92034
Barrass, Iain; Crampin, Edmund J.; Maini, Philip K.
19
2006
Modelling the response of vascular tumours to chemotherapy: a multiscale approach. Zbl 1094.92038
Byrne, Helen M.; Owen, Markus R.; Alarcon, Tomas; Murphy, James; Maini, Philip K.
18
2006
Diffusion-aggregation processes with mono-stable reaction terms. Zbl 1116.35099
Maini, Philip K.; Malaguti, Luisa; Marcelli, Cristina; Matucci, Serena
14
2006
A mathematical investigation of a Clock and Wavefront model for somitogenesis. Zbl 1094.92007
Baker, R. E.; Schnell, S.; Maini, P. K.
11
2006
The impact of cell crowding and active cell movement on vascular tumour growth. Zbl 1108.92022
Betteridge, 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 1098.92041
Meyer-Hermann, Michael E.; Maini, Philip K.; Iber, Dagmar
6
2006
Mixed-mode pattern in Doublefoot mutant mouse limb – Turing reaction-diffusion model on a growing domain during limb development. Zbl 1447.92047
Miura, Takashi; Shiota, Kohei; Morriss-Kay, Gillian; Maini, Philip K.
3
2006
Mathematical models in physiology. Zbl 1152.92311
Gavaghan, David; Garny, Alan; Maini, Philip K.; Kohl, Peter
2
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 1296.92116
Roose, T.; Chapman, S. J.; Maini, P. K.
1
2006
Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
142
2005
Cellular automaton modeling of biological pattern formation. Characterization, applications, and analysis. With a foreword by Philip K. Maini. Zbl 1154.37007
Deutsch, Andreas; Dormann, Sabine
55
2005
A multiple scale model for tumor growth. Zbl 1107.92019
Alarcón, T.; Byrne, H. M.; Maini, P. K.
40
2005
A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Zbl 1080.65091
Madzvamuse, Anotida; Maini, Philip K.; Wathen, Andrew J.
34
2005
Complex pattern formation in reaction-diffusion systems with spatially varying parameters. Zbl 1065.35145
Page, Karen M.; Maini, Philip K.; Monk, Nicholas A. M.
26
2005
A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin’s lymphoma: investigation of the current protocol through theoretical modelling results. Zbl 1334.92207
Ribba, B.; Marron, K.; Agur, Z.; Alarcón, T.; Maini, P. K.
11
2005
An evolving network model with community structure. Zbl 1099.94004
Li, Chunguang; Maini, Philip K.
6
2005
The role of acidity in solid tumour growth and invasion. Zbl 1445.92082
Smallbone, Kieran; Gavaghan, David J.; Gatenby, Robert A.; Maini, Philip K.
4
2005
...and 84 more Documents
all top 5

Cited by 2,995 Authors

78 Maini, Philip Kumar
39 Simpson, Matthew J.
34 Byrne, Helen Mary
28 Sherratt, Jonathan A.
27 Chaplain, Mark A. J.
25 Madzvamuse, Anotida
24 Baker, Ruth Elizabeth
20 Bellomo, Nicola
19 Gaffney, Eamonn A.
19 Wei, Juncheng
17 Painter, Kevin J.
16 Tao, Youshan
16 Winkler, Michael
15 Perthame, Benoît
14 Lorenzi, Tommaso
14 McCue, Scott William
13 Delitala, Marcello Edoardo
13 Ward, Michael J.
12 Kolokolnikov, Theodore
12 Krause, Andrew L.
12 Lowengrub, John Samuel
12 Mcelwain, D. L. Sean
11 Alarcón, Tomás
11 Schnell, Santiago
11 Vermolen, Fred J.
11 Winter, Matthias
10 Bersani, Alberto Maria
10 Klika, Václav
10 Landman, Kerry A.
10 Lin, Zhigui
10 Oden, John Tinsley
10 van Gorder, Robert Ashton
9 Anderson, Alexander R. A.
9 Fletcher, Alexander G.
9 Malaguti, Luisa
9 Owolabi, Kolade Matthew
9 Soler, Juan S.
9 Wang, Jinliang
9 Wang, Zhian
8 Calvez, Vincent
8 Dehghan Takht Fooladi, Mehdi
8 Elaiw, Ahmed M.
8 Garzón-Alvarado, Diego Alexander
8 Hillen, Thomas
8 Murray, James Dickson
8 Tian, Canrong
8 van Heijster, Peter
7 Alshamrani, Noura H.
7 Bianca, Carlo
7 d’Onofrio, Alberto
7 Lachowicz, Mirosław
7 Lima, Ernesto A. B. F.
7 Mu, Chunlai
7 Pareschi, Lorenzo
7 Sánchez-Garduño, Faustino
7 Sgura, Ivonne
7 Teng, Zhi-dong
7 Toscani, Giuseppe
7 Wang, Weiming
6 Banerjee, Malay
6 Bellouquid, Abdelghani
6 Binder, Benjamin James
6 Bowong, Samuel
6 Cai, Yongli
6 Cho, Heyrim
6 Cristini, Vittorio
6 Dimarco, Giacomo
6 Doelman, Arjen
6 Gerisch, Alf
6 Herrero, Miguel Ángel
6 Jeffrey, Mike R.
6 Jin, Wang
6 King, John Robert
6 Korobeinikov, Andrei
6 Kuang, Yang
6 Marcelli, Cristina
6 Newman, Stuart A.
6 Osborne, James M.
6 Owen, Markus Roger
6 Plaza, Ramón G.
6 Preziosi, Luigi
6 Tang, Min
6 Volpert, Vitaly A.
6 Zhang, Lai
5 Alber, Mark S.
5 Barreira, Raquel
5 Bertaglia, Giulia
5 Bhunu, Claver Pedzisai
5 Buenzli, Pascal R.
5 Corli, Andrea
5 Drasdo, Dirk
5 Eilertsen, Justin S.
5 El-Hachem, Maud
5 Erban, Radek
5 Flegg, Jennifer A.
5 Frieboes, Hermann B.
5 Gatenby, Robert A.
5 Georgescu, Paul
5 Hubbard, Matthew E.
5 Jin, Zhen
...and 2,895 more Authors
all top 5

Cited in 240 Serials

172 Bulletin of Mathematical Biology
158 Journal of Theoretical Biology
119 Journal of Mathematical Biology
70 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
58 Mathematical Biosciences
42 Computers & Mathematics with Applications
41 Applied Mathematics and Computation
38 Mathematical and Computer Modelling
37 Mathematical Biosciences and Engineering
34 Discrete and Continuous Dynamical Systems. Series B
31 Physica D
31 Nonlinear Analysis. Real World Applications
29 Journal of Differential Equations
29 Journal of Mathematical Chemistry
26 Journal of Computational Physics
26 Applied Mathematics Letters
25 Applied Mathematical Modelling
24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
23 Journal of Mathematical Analysis and Applications
22 Physica A
21 Abstract and Applied Analysis
21 Mathematical Modelling of Natural Phenomena
19 Chaos, Solitons and Fractals
19 Journal of Nonlinear Science
19 International Journal of Biomathematics
17 Chaos
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Communications in Nonlinear Science and Numerical Simulation
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Journal of Computational and Applied Mathematics
14 SIAM Journal on Applied Mathematics
14 SIAM Journal on Applied Dynamical Systems
14 Journal of Biological Dynamics
14 Discrete and Continuous Dynamical Systems. Series S
13 Acta Applicandae Mathematicae
13 Computational and Applied Mathematics
12 Mathematics and Computers in Simulation
12 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
11 Nonlinearity
11 Journal of Dynamics and Differential Equations
11 Discrete and Continuous Dynamical Systems
11 Advances in Difference Equations
10 Computer Methods in Applied Mechanics and Engineering
10 Journal of Statistical Physics
10 Journal of Biological Systems
10 Computational & Mathematical Methods in Medicine
9 Mathematical Methods in the Applied Sciences
9 Nonlinear Dynamics
8 Theoretical Population Biology
8 Journal of Scientific Computing
8 SIAM Journal on Mathematical Analysis
8 AIMS Mathematics
7 Journal of Applied Mathematics
6 Applied Numerical Mathematics
6 European Journal of Applied Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Discrete Dynamics in Nature and Society
6 Communications on Pure and Applied Analysis
6 Journal of Applied Mathematics and Computing
6 Journal of Applied Analysis and Computation
5 SIAM Journal on Scientific Computing
5 Complexity
5 Multiscale Modeling & Simulation
4 Applicable Analysis
4 International Journal of Engineering Science
4 Numerical Methods for 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 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 Journal of Mathematical Physics
3 Numerische Mathematik
3 Applied Mathematics and Mechanics. (English Edition)
3 Dynamics and Stability of Systems
3 Applications of Mathematics
3 Numerical Algorithms
3 Communications in Partial Differential Equations
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 Journal of Computational and Graphical Statistics
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
2 Applied Mathematics and Optimization
2 BIT
2 Numerical Functional Analysis and Optimization
...and 140 more Serials
all top 5

Cited in 42 Fields

1,467 Biology and other natural sciences (92-XX)
948 Partial differential equations (35-XX)
283 Numerical analysis (65-XX)
280 Ordinary differential equations (34-XX)
147 Dynamical systems and ergodic theory (37-XX)
67 Probability theory and stochastic processes (60-XX)
64 Fluid mechanics (76-XX)
56 Statistical mechanics, structure of matter (82-XX)
55 Systems theory; control (93-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
49 Mechanics of deformable solids (74-XX)
30 Computer science (68-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Statistics (62-XX)
14 Integral equations (45-XX)
14 Classical thermodynamics, heat transfer (80-XX)
10 Difference and functional equations (39-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Mechanics of particles and systems (70-XX)
8 Operations research, mathematical programming (90-XX)
7 Operator theory (47-XX)
7 Optics, electromagnetic theory (78-XX)
6 History and biography (01-XX)
6 Differential geometry (53-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Real functions (26-XX)
3 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 Mathematics education (97-XX)

Citations by Year

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