Mark A. J. Chaplain

33 papers Journal 33

Year	Rank	Type	Title / Venue / Authors
2024	J	`jnl`	Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation. J. Comput. Sci. Zuzanna Szymanska, Miroslaw Lachowicz, Nikolaos Sfakianakis, Mark A. J. Chaplain
2021	J	`jnl`	Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors. SIAM J. Appl. Math. Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
2020	J	`jnl`	A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix. Multiscale Model. Simul. Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain
2020	J	`jnl`	Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: The effects of fibre and vascular structure. J. Comput. Sci. Cicely K. Macnamara, Alfonso Caiazzo, Ignacio Ramis-Conde, Mark A. J. Chaplain
2019	J	`jnl`	Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes. SIAM J. Appl. Math. Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi
2016	J	`jnl`	On the stability of homogeneous steady states of a chemotaxis system with logistic growth term. Appl. Math. Lett. Mark A. J. Chaplain, J. Ignacio Tello
2013	J	`jnl`	A Multiscale Moving Boundary Model Arising in Cancer Invasion. Multiscale Model. Simul. Dumitru Trucu, Ping Lin, Mark A. J. Chaplain, Yangfan Wang
2013	J	`jnl`	Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model. PLoS Comput. Biol. Gibin G. Powathil, Douglas J. A. Adamson, Mark A. J. Chaplain
2008	J	`jnl`	Mathematical modelling of cancer cell invasion of tissue. Math. Comput. Model. Ignacio Ramis-Conde, Mark A. J. Chaplain, Alexander R. A. Anderson
2008	J	`jnl`	Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours. Math. Comput. Model. O. Lejeune, Mark A. J. Chaplain, I. El Akili
2007	J	`jnl`	Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Comput. Math. Appl. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2006	J	`jnl`	Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2006	J	`jnl`	Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Networks Heterog. Media Mark A. J. Chaplain, G. Lolas
2006	J	`jnl`	Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Math. Comput. Model. Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain
2006	J	`jnl`	Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems. Math. Comput. Model. Alf Gerisch, Mark A. J. Chaplain
2005	J	`jnl`	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. J. Valenciano, Mark A. J. Chaplain
2005	J	`jnl`	Global stability of a stage-structured predator-prey model with prey dispersal. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2005	J	`jnl`	Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies. Math. Comput. Model. Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain
2005	J	`jnl`	Modelling and analysis of a competitive model with stage structure. Math. Comput. Model. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2005	J	`jnl`	Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Periodic solution for athree-species Lotka-Volterra food-chain model with time delays. Math. Comput. Model. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Periodic solutions of a predator-prey model with stage structure for predator. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2004	J	`jnl`	Persistence and stability of a stage-structured predator-prey model with time delays. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson
2002	J	`jnl`	Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain, Lansun Chen
2002	J	`jnl`	Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain
2002	J	`jnl`	Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Appl. Math. Comput. Rui Xu, Mark A. J. Chaplain
2001	J	`jnl`	An analysis of a mathematical model of trophoblast invasion. Appl. Math. Lett. Helen M. Byrne, Mark A. J. Chaplain, Graeme J. Pettet, D. L. Sean McElwain
2000	J	`jnl`	Steady-state solutions of a generic model for the formation of capillary networks. Appl. Math. Lett. Fordyce A. Davidson, Alexander R. A. Anderson, Mark A. J. Chaplain
2000	J	`jnl`	Travelling waves in a model of species migration. Appl. Math. Lett. D. L. Feltham, Mark A. J. Chaplain