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Plank, Michael J.

Co-Author Distance
Author ID: plank.michael-j Recent zbMATH articles by "Plank, Michael J."
Published as: Plank, Michael J.; Plank, M. J.
External Links: ORCID
Documents Indexed: 37 Publications since 2002, including 1 Book
Co-Authors: 37 Co-Authors with 32 Joint Publications
584 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
9 James, Alex
6 David, Timothy
6 Sleeman, Brian David
5 Simpson, Matthew J.
4 Binny, Rachelle N.
3 Kenny, Allanah
3 Pitchford, Jonathan William
2 Godsoe, William
2 Hackney, Michael
2 Hendy, Shaun C.
2 Jones, Pamela F.
2 Law, Richard
2 Lustig, Audrey
2 Mohd, Mohd Hafiz
2 Murray, Rua
2 Steyn, Nicholas
2 Surendran, Anudeep
2 Wall, David J. N.
1 Auger-Méthé, Marie
1 Basse, Britta
1 Bourdôt, Graeme W.
1 Brown, Robert Grover
1 Browning, Alexander P.
1 Chapman, Stephen Jonathan
1 Codling, Edward A.
1 Comerford, Andrew
1 Datta, Samik
1 Delius, Gustav W.
1 Hadfield, James
1 Hannah, K.
1 Irons, Carolyn
1 James, A. F.
1 Jones, Douglas Samuel
1 Lamoureaux, Shona L.
1 McCue, Scott William
1 Shah, Esha T.
1 Stringer, Nick
all top 5

Serials

9 Bulletin of Mathematical Biology
5 Journal of Theoretical Biology
4 The ANZIAM Journal
3 Mathematical Biosciences
3 Mathematical Medicine and Biology
2 Physica A
2 Journal of Theoretical Medicine
1 Journal of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Applied Mathematical Modelling
1 Journal of Computational Neuroscience
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Chapman & Hall/CRC Mathematical and Computational Biology Series
all top 5

Fields

35 Biology and other natural sciences (92-XX)
7 Probability theory and stochastic processes (60-XX)
6 Partial differential equations (35-XX)
3 Numerical analysis (65-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Combinatorics (05-XX)
1 Ordinary differential equations (34-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

30 Publications have been cited 217 times in 166 Documents Cited by ▼ Year ▼
Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D.
43
2004
Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D.
26
2010
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
24
2003
Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions. Zbl 1334.92161
Plank, Michael J.; Law, Richard
15
2015
A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014
Plank, M. J.; Sleeman, B. D.; Jones, P. F.
13
2004
Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data. Zbl 1394.92019
Browning, Alexander P.; McCue, Scott W.; Binny, Rachelle N.; Plank, Michael J.; Shah, Esha T.; Simpson, Matthew J.
12
2018
Collective cell behaviour with neighbour-dependent proliferation, death and directional bias. Zbl 1357.92007
Binny, Rachelle N.; James, Alex; Plank, Michael J.
8
2016
A stability analysis of the power-law steady state of marine size spectra. Zbl 1311.92185
Datta, Samik; Delius, Gustav W.; Law, Richard; Plank, Michael J.
8
2011
A nonlinear model of age and size-structured populations with applications to cell cycles. Zbl 1145.37042
Chapman, S. J.; Plank, M. J.; James, A.; Basse, B.
7
2007
Spatial moment description of birth-death-movement processes incorporating the effects of crowding and obstacles. Zbl 1401.92021
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J.
7
2018
Efficient or inaccurate? Analytical and numerical modelling of random search strategies. Zbl 1191.92079
James, Alex; Pitchford, Jonathan W.; Plank, Michael J.
6
2010
Lattice-free models of cell invasion: discrete simulations and travelling waves. Zbl 1310.92009
Plank, Michael J.; Simpson, Matthew J.
6
2013
Effects of biotic interactions and dispersal on the presence-absence of multiple species. Zbl 1373.92144
Mohd, Mohd Hafiz; Murray, Rua; Plank, Michael J.; Godsoe, William
6
2017
Effects of different dispersal patterns on the presence-absence of multiple species. Zbl 1510.92173
Mohd, Mohd Hafiz; Murray, Rua; Plank, Michael J.; Godsoe, William
5
2018
Macro scale modelling of cortical spreading depression and the role of astrocytic gap junctions. Zbl 1406.92083
Kenny, Allanah; Plank, Michael J.; David, Tim
4
2018
Lévy or not? analysing positional data from animal movement paths. Zbl 1347.92115
Plank, Michael J.; Auger-Méthé, Marie; Codling, Edward A.
4
2013
The role of astrocytic calcium and TRPV4 channels in neurovascular coupling. Zbl 1402.92092
Kenny, Allanah; Plank, Michael J.; David, Tim
4
2018
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D.
3
2003
The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis. Zbl 1114.92024
Plank, M. J.; Wall, D. J. N.; David, T.
2
2007
Lattice-free models of directed cell motility. Zbl 1400.92073
Irons, Carolyn; Plank, Michael J.; Simpson, Matthew J.
2
2016
Population dynamics with spatial structure and an Allee effect. Zbl 1472.92189
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J.
2
2020
A mathematical model of an In Vitro experiment to investigate endothelial cell migration. Zbl 1052.92022
Plank, M. J.; Sleeman, B. D.; Jones, P. F.
2
2002
Modeling secondary messenger pathways in neurovascular coupling. Zbl 1279.92020
Hadfield, James; Plank, Michael J.; David, Tim
1
2013
Epidemic dynamics on random and scale-free networks. Zbl 1264.92043
Bartlett, J.; Plank, M. J.
1
2012
Concentration of blood-borne agonists at the endothelium. Zbl 1149.92312
Plank, M. J.; Comerford, A.; David, T.; Wall, D. J. N.
1
2006
The effects of cerebral curvature on cortical spreading depression. Zbl 1458.92018
Kenny, Allanah; Plank, Michael J.; David, Tim
1
2019
Emergence of balanced harvesting in an agent-based model of an open-access small-scale fishery. Zbl 1426.91183
Hackney, Michael; James, Alex; Plank, Michael J.
1
2019
A structured model for COVID-19 spread: modelling age and healthcare inequities. Zbl 1472.92220
James, A.; Plank, M. J.; Binny, R. N.; Lustig, A.; Hannah, K.; Hendy, S. C.; Steyn, N.
1
2021
Habitat fragmentation: simple models for local persistence and the spread of invasive species. Zbl 1337.92170
Brown, R. G.; James, A. F.; Pitchford, J. W.; Plank, M. J.
1
2012
Evolutionarily stable strategies for fecundity and swimming speed of fish. Zbl 1356.92066
Plank, Michael J.; Pitchford, Jonathan W.; James, Alex
1
2016
A structured model for COVID-19 spread: modelling age and healthcare inequities. Zbl 1472.92220
James, A.; Plank, M. J.; Binny, R. N.; Lustig, A.; Hannah, K.; Hendy, S. C.; Steyn, N.
1
2021
Population dynamics with spatial structure and an Allee effect. Zbl 1472.92189
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J.
2
2020
The effects of cerebral curvature on cortical spreading depression. Zbl 1458.92018
Kenny, Allanah; Plank, Michael J.; David, Tim
1
2019
Emergence of balanced harvesting in an agent-based model of an open-access small-scale fishery. Zbl 1426.91183
Hackney, Michael; James, Alex; Plank, Michael J.
1
2019
Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data. Zbl 1394.92019
Browning, Alexander P.; McCue, Scott W.; Binny, Rachelle N.; Plank, Michael J.; Shah, Esha T.; Simpson, Matthew J.
12
2018
Spatial moment description of birth-death-movement processes incorporating the effects of crowding and obstacles. Zbl 1401.92021
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J.
7
2018
Effects of different dispersal patterns on the presence-absence of multiple species. Zbl 1510.92173
Mohd, Mohd Hafiz; Murray, Rua; Plank, Michael J.; Godsoe, William
5
2018
Macro scale modelling of cortical spreading depression and the role of astrocytic gap junctions. Zbl 1406.92083
Kenny, Allanah; Plank, Michael J.; David, Tim
4
2018
The role of astrocytic calcium and TRPV4 channels in neurovascular coupling. Zbl 1402.92092
Kenny, Allanah; Plank, Michael J.; David, Tim
4
2018
Effects of biotic interactions and dispersal on the presence-absence of multiple species. Zbl 1373.92144
Mohd, Mohd Hafiz; Murray, Rua; Plank, Michael J.; Godsoe, William
6
2017
Collective cell behaviour with neighbour-dependent proliferation, death and directional bias. Zbl 1357.92007
Binny, Rachelle N.; James, Alex; Plank, Michael J.
8
2016
Lattice-free models of directed cell motility. Zbl 1400.92073
Irons, Carolyn; Plank, Michael J.; Simpson, Matthew J.
2
2016
Evolutionarily stable strategies for fecundity and swimming speed of fish. Zbl 1356.92066
Plank, Michael J.; Pitchford, Jonathan W.; James, Alex
1
2016
Spatial point processes and moment dynamics in the life sciences: a parsimonious derivation and some extensions. Zbl 1334.92161
Plank, Michael J.; Law, Richard
15
2015
Lattice-free models of cell invasion: discrete simulations and travelling waves. Zbl 1310.92009
Plank, Michael J.; Simpson, Matthew J.
6
2013
Lévy or not? analysing positional data from animal movement paths. Zbl 1347.92115
Plank, Michael J.; Auger-Méthé, Marie; Codling, Edward A.
4
2013
Modeling secondary messenger pathways in neurovascular coupling. Zbl 1279.92020
Hadfield, James; Plank, Michael J.; David, Tim
1
2013
Epidemic dynamics on random and scale-free networks. Zbl 1264.92043
Bartlett, J.; Plank, M. J.
1
2012
Habitat fragmentation: simple models for local persistence and the spread of invasive species. Zbl 1337.92170
Brown, R. G.; James, A. F.; Pitchford, J. W.; Plank, M. J.
1
2012
A stability analysis of the power-law steady state of marine size spectra. Zbl 1311.92185
Datta, Samik; Delius, Gustav W.; Law, Richard; Plank, Michael J.
8
2011
Differential equations and mathematical biology. 2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D.
26
2010
Efficient or inaccurate? Analytical and numerical modelling of random search strategies. Zbl 1191.92079
James, Alex; Pitchford, Jonathan W.; Plank, Michael J.
6
2010
A nonlinear model of age and size-structured populations with applications to cell cycles. Zbl 1145.37042
Chapman, S. J.; Plank, M. J.; James, A.; Basse, B.
7
2007
The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis. Zbl 1114.92024
Plank, M. J.; Wall, D. J. N.; David, T.
2
2007
Concentration of blood-borne agonists at the endothelium. Zbl 1149.92312
Plank, M. J.; Comerford, A.; David, T.; Wall, D. J. N.
1
2006
Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D.
43
2004
A mathematical model of tumour angiogenesis, regulated by vascular endothelial growth factor and the angiopoietins. Zbl 1440.92014
Plank, M. J.; Sleeman, B. D.; Jones, P. F.
13
2004
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D.
24
2003
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D.
3
2003
A mathematical model of an In Vitro experiment to investigate endothelial cell migration. Zbl 1052.92022
Plank, M. J.; Sleeman, B. D.; Jones, P. F.
2
2002
all cited Publications top 5 cited Publications
all top 5

Cited by 377 Authors

14 Plank, Michael J.
13 Simpson, Matthew J.
8 Baker, Ruth Elizabeth
7 David, Timothy
7 Maini, Philip Kumar
6 Capasso, Vincenzo
6 Chaplain, Mark A. J.
5 Byrne, Helen Mary
5 Mohd, Mohd Hafiz
5 Saad, Khaled Mohammed
4 Bonilla, Luis Lopez
4 Carretero, Manuel
4 Terragni, Filippo
3 Domschke, Pia
3 Lowengrub, John Samuel
3 McDougall, Steven R.
3 Morale, Daniela
3 Noorani, Mohd Salmi Mohd
3 Trucu, Dumitru
3 Zheng, Xiaoming
2 Alarcón, Tomás
2 Almadiy, Abdulrhman A.
2 Alomari, Abedel-Karrem
2 Anderson, Alexander R. A.
2 Băleanu, Dumitru I.
2 Bartha, K.
2 Binny, Rachelle N.
2 Browning, Alexander P.
2 Chakraborty, Souvik
2 Chechkin, Aleksei V.
2 Cristini, Vittorio
2 Dassios, George
2 Delius, Gustav W.
2 Drovandi, Christopher C.
2 El Saadi, Nadjia
2 Elkaranshawy, Hesham A.
2 Frazier, David T.
2 Friedman, Avner
2 Gaffney, Eamonn A.
2 Gerisch, Alf
2 Gerlee, Philip
2 Gómez-Aguilar, José Francisco
2 Huang, Huaxiong
2 Jackson, Trachette L.
2 James, Alex
2 Jin, Fang
2 Kariotou, Foteini
2 Kenny, Allanah
2 Lei, Yanfang
2 Li, Junmin
2 Liao, Kang-Ling
2 Makhlouf, Ahmed M.
2 McCue, Scott William
2 McElwain, D. L. Sean
2 Metzler, Ralf
2 Nikolaev, Mikhaĭl V.
2 Omelyan, Igor P.
2 Palyulin, Vladimir V.
2 Preziosi, Luigi
2 Scianna, Marco
2 Sisson, Scott A.
2 Sleeman, Brian David
2 Song, Zilong
2 Srivastava, Hari Mohan
2 Surendran, Anudeep
2 Torres, Delfim Fernando Marado
2 Tripura, Tapas
2 Vermolen, Fred J.
2 Wall, David J. N.
2 Warne, David J.
2 Xu, Nuo
2 Zhang, Lai
2 Zhao, Ailiang
1 Abdelaziz, Mahmoud A. M.
1 Abdeljawad, Thabet
1 Abdullah, Farah Aini
1 Ågren, J. Arvid
1 Ahmad, Bashir
1 Ainseba, Bedr’Eddine
1 Al-Mdallal, Qasem M.
1 Ali, Vakkar
1 Aljhani, Sami
1 Allehiany, F. M.
1 Alvaro, Mariano
1 Andersen, Ken Haste
1 Asada, Haruhiko Harry
1 Auger, Pierre M.
1 Azargoshasbi, Farzaneh
1 Bader, Samuel B.
1 Bah, Alassane
1 Bai, Xue-Feng
1 Barraquand, Frédéric
1 Batta, Octavio
1 Bayati, Basil
1 Belinha, Jorge
1 Bell, Christopher G.
1 Bellomo, Nicola
1 Berrone, Stefano
1 Bianchi, Arianna
1 Billy, Frédérique
...and 277 more Authors
all top 5

Cited in 56 Serials

39 Journal of Theoretical Biology
20 Bulletin of Mathematical Biology
17 Journal of Mathematical Biology
6 Mathematical Biosciences
6 Physica A
5 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
3 Journal of Statistical Mechanics: Theory and Experiment
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 Biometrics
2 Quarterly of Applied Mathematics
2 European Journal of Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Applied Mathematical Modelling
2 Computational Statistics and Data Analysis
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Differential Equations
2 Archives of Computational Methods in Engineering
2 Mathematical Biosciences and Engineering
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Computational and Graphical Statistics
1 Computers & Mathematics with Applications
1 International Journal of Control
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Automatica
1 Journal of Computational and Applied Mathematics
1 Moscow University Computational Mathematics and Cybernetics
1 Acta Mathematicae Applicatae Sinica
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 Journal of the Egyptian Mathematical Society
1 Abstract and Applied Analysis
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 The ANZIAM Journal
1 Journal of Nonlinear Mathematical Physics
1 Central European Journal of Mathematics
1 Boundary Value Problems
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Computational & Mathematical Methods in Medicine
1 Statistical Analysis and Data Mining
1 Mathematical Modelling of Natural Phenomena
1 Differential Equations and Applications
1 Statistics and Computing
1 Journal of Function Spaces
1 Bulletin of Computational Applied Mathematics
1 International Journal of Applied and Computational Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 AIMS Mathematics
1 SN Operations Research Forum
all top 5

Cited in 26 Fields

136 Biology and other natural sciences (92-XX)
46 Partial differential equations (35-XX)
21 Probability theory and stochastic processes (60-XX)
17 Numerical analysis (65-XX)
15 Statistics (62-XX)
13 Ordinary differential equations (34-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Systems theory; control (93-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Computer science (68-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year