Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D. |
|
2004
|
Differential equations and mathematical biology.
2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D. |
|
2010
|
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D. |
|
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 |
|
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. |
|
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. |
|
2018
|
Collective cell behaviour with neighbour-dependent proliferation, death and directional bias. Zbl 1357.92007
Binny, Rachelle N.; James, Alex; Plank, Michael J. |
|
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. |
|
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. |
|
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. |
|
2018
|
Efficient or inaccurate? Analytical and numerical modelling of random search strategies. Zbl 1191.92079
James, Alex; Pitchford, Jonathan W.; Plank, Michael J. |
|
2010
|
Lattice-free models of cell invasion: discrete simulations and travelling waves. Zbl 1310.92009
Plank, Michael J.; Simpson, Matthew J. |
|
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 |
|
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 |
|
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 |
|
2018
|
Lévy or not? analysing positional data from animal movement paths. Zbl 1347.92115
Plank, Michael J.; Auger-Méthé, Marie; Codling, Edward A. |
|
2013
|
The role of astrocytic calcium and TRPV4 channels in neurovascular coupling. Zbl 1402.92092
Kenny, Allanah; Plank, Michael J.; David, Tim |
|
2018
|
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D. |
|
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. |
|
2007
|
Lattice-free models of directed cell motility. Zbl 1400.92073
Irons, Carolyn; Plank, Michael J.; Simpson, Matthew J. |
|
2016
|
Population dynamics with spatial structure and an Allee effect. Zbl 1472.92189
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J. |
|
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. |
|
2002
|
Modeling secondary messenger pathways in neurovascular coupling. Zbl 1279.92020
Hadfield, James; Plank, Michael J.; David, Tim |
|
2013
|
Epidemic dynamics on random and scale-free networks. Zbl 1264.92043
Bartlett, J.; Plank, M. J. |
|
2012
|
Concentration of blood-borne agonists at the endothelium. Zbl 1149.92312
Plank, M. J.; Comerford, A.; David, T.; Wall, D. J. N. |
|
2006
|
The effects of cerebral curvature on cortical spreading depression. Zbl 1458.92018
Kenny, Allanah; Plank, Michael J.; David, Tim |
|
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. |
|
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. |
|
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. |
|
2012
|
Evolutionarily stable strategies for fecundity and swimming speed of fish. Zbl 1356.92066
Plank, Michael J.; Pitchford, Jonathan W.; James, Alex |
|
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. |
|
2021
|
Population dynamics with spatial structure and an Allee effect. Zbl 1472.92189
Surendran, Anudeep; Plank, Michael J.; Simpson, Matthew J. |
|
2020
|
The effects of cerebral curvature on cortical spreading depression. Zbl 1458.92018
Kenny, Allanah; Plank, Michael J.; David, Tim |
|
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. |
|
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. |
|
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. |
|
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 |
|
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 |
|
2018
|
The role of astrocytic calcium and TRPV4 channels in neurovascular coupling. Zbl 1402.92092
Kenny, Allanah; Plank, Michael J.; David, Tim |
|
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 |
|
2017
|
Collective cell behaviour with neighbour-dependent proliferation, death and directional bias. Zbl 1357.92007
Binny, Rachelle N.; James, Alex; Plank, Michael J. |
|
2016
|
Lattice-free models of directed cell motility. Zbl 1400.92073
Irons, Carolyn; Plank, Michael J.; Simpson, Matthew J. |
|
2016
|
Evolutionarily stable strategies for fecundity and swimming speed of fish. Zbl 1356.92066
Plank, Michael J.; Pitchford, Jonathan W.; James, Alex |
|
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 |
|
2015
|
Lattice-free models of cell invasion: discrete simulations and travelling waves. Zbl 1310.92009
Plank, Michael J.; Simpson, Matthew J. |
|
2013
|
Lévy or not? analysing positional data from animal movement paths. Zbl 1347.92115
Plank, Michael J.; Auger-Méthé, Marie; Codling, Edward A. |
|
2013
|
Modeling secondary messenger pathways in neurovascular coupling. Zbl 1279.92020
Hadfield, James; Plank, Michael J.; David, Tim |
|
2013
|
Epidemic dynamics on random and scale-free networks. Zbl 1264.92043
Bartlett, J.; Plank, M. J. |
|
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. |
|
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. |
|
2011
|
Differential equations and mathematical biology.
2nd ed. Zbl 1298.92003
Jones, D. S.; Plank, M. J.; Sleeman, B. D. |
|
2010
|
Efficient or inaccurate? Analytical and numerical modelling of random search strategies. Zbl 1191.92079
James, Alex; Pitchford, Jonathan W.; Plank, Michael J. |
|
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. |
|
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. |
|
2007
|
Concentration of blood-borne agonists at the endothelium. Zbl 1149.92312
Plank, M. J.; Comerford, A.; David, T.; Wall, D. J. N. |
|
2006
|
Lattice and non-lattice models of tumour angiogenesis. Zbl 1334.92206
Plank, M. J.; Sleeman, B. D. |
|
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. |
|
2004
|
A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Zbl 1044.92036
Plank, M. J.; Sleeman, B. D. |
|
2003
|
Tumour-induced angiogenesis: a review. Zbl 1078.92040
Plank, M. J.; Sleeman, B. D. |
|
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. |
|
2002
|