Mark A. J. Chaplain

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 6

Top Topics

Modeling Method

Top Venues

J. Comput. Sci.

SIAM J. Appl. Math.

Appl. Math. Lett.

Multiscale Model. Simul.

Publications

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 (2024)
Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi
Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors. SIAM J. Appl. Math. 81 (2) (2021)
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 (2020)
Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix. Multiscale Model. Simul. 18 (2) (2020)
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) (2019)
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 (2016)
Dumitru Trucu, Ping Lin, Mark A. J. Chaplain, Yangfan Wang
A Multiscale Moving Boundary Model Arising in Cancer Invasion. Multiscale Model. Simul. 11 (1) (2013)
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)
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) (2008)
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) (2008)
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) (2007)
Alf Gerisch, Mark A. J. Chaplain
Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems. Math. Comput. Model. 43 (1-2) (2006)
Mark A. J. Chaplain, G. Lolas
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Networks Heterog. Media 1 (3) (2006)
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) (2006)
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) (2006)
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) (2005)
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) (2005)
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) (2005)
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) (2005)
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) (2005)
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) (2004)
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) (2004)
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) (2004)
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) (2004)
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) (2004)
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) (2004)
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) (2004)
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) (2002)
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) (2002)
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) (2002)
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) (2001)
D. L. Feltham, Mark A. J. Chaplain
Travelling waves in a model of species migration. Appl. Math. Lett. 13 (7) (2000)
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) (2000)