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2020 – today
- 2024
[j33]Zuzanna Szymanska
, Miroslaw Lachowicz, Nikolaos Sfakianakis, Mark A. J. Chaplain:
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation. J. Comput. Sci. 75: 102175 (2024)- 2021
- [j32]Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi:
Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors. SIAM J. Appl. Math. 81(2): 434-453 (2021) - 2020
- [j31]Cicely K. Macnamara, Alfonso Caiazzo, Ignacio Ramis-Conde, Mark A. J. Chaplain:
Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: The effects of fibre and vascular structure. J. Comput. Sci. 40: 101067 (2020) - [j30]Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain:
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix. Multiscale Model. Simul. 18(2): 824-850 (2020)
2010 – 2019
- 2019
- [j29]Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi:
Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes. SIAM J. Appl. Math. 79(5): 2011-2031 (2019) - 2016
- [j28]Mark A. J. Chaplain, J. Ignacio Tello:
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term. Appl. Math. Lett. 57: 1-6 (2016) - 2013
- [j27]Dumitru Trucu, Ping Lin, Mark A. J. Chaplain, Yangfan Wang:
A Multiscale Moving Boundary Model Arising in Cancer Invasion. Multiscale Model. Simul. 11(1): 309-335 (2013) - [j26]Gibin G. Powathil, Douglas J. A. Adamson, Mark A. J. Chaplain:
Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model. PLoS Comput. Biol. 9(7) (2013)
2000 – 2009
- 2008
- [j25]Ignacio Ramis-Conde, Mark A. J. Chaplain, Alexander R. A. Anderson:
Mathematical modelling of cancer cell invasion of tissue. Math. Comput. Model. 47(5-6): 533-545 (2008) - [j24]O. Lejeune, Mark A. J. Chaplain, I. El Akili:
Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours. Math. Comput. Model. 47(5-6): 649-662 (2008) - 2007
- [j23]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Comput. Math. Appl. 53(5): 770-788 (2007) - 2006
- [j22]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Appl. Math. Comput. 176(1): 388-401 (2006) - [j21]Alf Gerisch, Mark A. J. Chaplain:
Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems. Math. Comput. Model. 43(1-2): 49-75 (2006) - [j20]Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain:
Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Math. Comput. Model. 44(1-2): 96-123 (2006) - [j19]Mark A. J. Chaplain, G. Lolas:
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Networks Heterog. Media 1(3): 399-439 (2006) - 2005
- [j18]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Appl. Math. Comput. 161(2): 637-654 (2005) - [j17]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Global stability of a stage-structured predator-prey model with prey dispersal. Appl. Math. Comput. 171(1): 293-314 (2005) - [j16]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Modelling and analysis of a competitive model with stage structure. Math. Comput. Model. 41(2-3): 159-175 (2005) - [j15]Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain:
Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies. Math. Comput. Model. 41(10): 1137-1156 (2005) - [j14]J. Valenciano, Mark A. J. Chaplain:
A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors. Math. Comput. Model. 41(10): 1171-1192 (2005) - 2004
- [j13]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Appl. Math. Comput. 148(2): 537-560 (2004) - [j12]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Persistence and stability of a stage-structured predator-prey model with time delays. Appl. Math. Comput. 150(1): 259-277 (2004) - [j11]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Periodic solutions of a predator-prey model with stage structure for predator. Appl. Math. Comput. 154(3): 847-870 (2004) - [j10]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Appl. Math. Comput. 158(3): 729-744 (2004) - [j9]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal. Appl. Math. Comput. 159(3): 823-846 (2004) - [j8]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay. Appl. Math. Comput. 159(3): 863-880 (2004) - [j7]Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson:
Periodic solution for athree-species Lotka-Volterra food-chain model with time delays. Math. Comput. Model. 40(7-8): 823-837 (2004) - 2002
- [j6]Rui Xu, Mark A. J. Chaplain, Lansun Chen:
Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays. Appl. Math. Comput. 130(2-3): 295-309 (2002) - [j5]Rui Xu, Mark A. J. Chaplain:
Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Appl. Math. Comput. 130(2-3): 441-455 (2002) - [j4]Rui Xu, Mark A. J. Chaplain:
Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays. Appl. Math. Comput. 131(1): 59-80 (2002) - 2001
- [j3]Helen M. Byrne, Mark A. J. Chaplain, Graeme J. Pettet, D. L. Sean McElwain:
An analysis of a mathematical model of trophoblast invasion. Appl. Math. Lett. 14(8): 1005-1010 (2001) - 2000
- [j2]Fordyce A. Davidson, Alexander R. A. Anderson, Mark A. J. Chaplain:
Steady-state solutions of a generic model for the formation of capillary networks. Appl. Math. Lett. 13(5): 127-132 (2000) - [j1]D. L. Feltham, Mark A. J. Chaplain:
Travelling waves in a model of species migration. Appl. Math. Lett. 13(7): 67-73 (2000)
Coauthor Index
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