Mark A. J. Chaplain - researchr alias

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2020

Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: The effects of fibre and vascular structureCicely K. Macnamara, Alfonso Caiazzo, Ignacio Ramis-Conde, Mark A. J. Chaplain. jocs, 40:101067, 2020. [doi]

2019

Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin MembranesMark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi. siamam, 79(5):2011-2031, 2019. [doi]

2016

On the stability of homogeneous steady states of a chemotaxis system with logistic growth termMark A. J. Chaplain, J. Ignacio Tello. appml, 57:1-6, 2016. [doi]

2013

Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational ModelGibin G. Powathil, Douglas J. A. Adamson, Mark A. J. Chaplain. ploscb, 9(7), 2013. [doi]

A Multiscale Moving Boundary Model Arising in Cancer InvasionDumitru Trucu, Ping Lin, Mark A. J. Chaplain, Yangfan Wang. mmas, 11(1):309-335, 2013. [doi]

2008

Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumoursO. Lejeune, Mark A. J. Chaplain, I. El Akili. mcm, 47(5-6):649-662, 2008. [doi]

Mathematical modelling of cancer cell invasion of tissueIgnacio Ramis-Conde, Mark A. J. Chaplain, Alexander R. A. Anderson. mcm, 47(5-6):533-545, 2008. [doi]

2007

Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delaysRui Xu, Mark A. J. Chaplain, F. A. Davidson. cma, 53(5):770-788, 2007. [doi]

2006

2005

Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategiesAngélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain. mcm, 41(10):1137-1156, 2005. [doi]

A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factorsJ. Valenciano, Mark A. J. Chaplain. mcm, 41(10):1171-1192, 2005. [doi]

Global stability of a stage-structured predator-prey model with prey dispersalRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 171(1):293-314, 2005. [doi]

Periodic solutions for a predator-prey model with Holling-type functional response and time delaysRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 161(2):637-654, 2005. [doi]

Modelling and analysis of a competitive model with stage structureRui Xu, Mark A. J. Chaplain, F. A. Davidson. mcm, 41(2-3):159-175, 2005. [doi]

2004

Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delaysRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 148(2):537-560, 2004. [doi]

Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delayRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 159(3):863-880, 2004. [doi]

Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersalRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 159(3):823-846, 2004. [doi]

Persistence and stability of a stage-structured predator-prey model with time delaysRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 150(1):259-277, 2004. [doi]

Periodic solutions of a predator-prey model with stage structure for predatorRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 154(3):847-870, 2004. [doi]

Persistence and global stability of a ratio-dependent predator-prey model with stage structureRui Xu, Mark A. J. Chaplain, F. A. Davidson. amc, 158(3):729-744, 2004. [doi]

Periodic solution for athree-species Lotka-Volterra food-chain model with time delaysRui Xu, Mark A. J. Chaplain, F. A. Davidson. mcm, 40(7-8):823-837, 2004. [doi]

2002

Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delaysRui Xu, Mark A. J. Chaplain. amc, 131(1):59-80, 2002. [doi]

Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delaysRui Xu, Mark A. J. Chaplain, Lansun Chen. amc, 130(2-3):295-309, 2002. [doi]

Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional responseRui Xu, Mark A. J. Chaplain. amc, 130(2-3):441-455, 2002. [doi]

2001

An analysis of a mathematical model of trophoblast invasionHelen M. Byrne, Mark A. J. Chaplain, Graeme J. Pettet, D. L. Sean McElwain. appml, 14(8):1005-1010, 2001. [doi]

2000

Steady-state solutions of a generic model for the formation of capillary networksF. A. Davidson, Alexander R. A. Anderson, Mark A. J. Chaplain. appml, 13(5):127-132, 2000. [doi]

Travelling waves in a model of species migrationD. L. Feltham, Mark A. J. Chaplain. appml, 13(7):67-73, 2000. [doi]

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