Mark A. J. Chaplain

According to our database, Mark A. J. Chaplain authored at least 33 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation.

Zuzanna Szymanska, Miroslaw Lachowicz, Nikolaos Sfakianakis, Mark A. J. Chaplain

J. Comput. Sci., 2024

2021

Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors.

Chiara Villa, Mark A. J. Chaplain, Tommaso Lorenzi

SIAM J. Appl. Math., 2021

2020

A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix.

Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain

Multiscale Model. Simul., 2020

Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue: The effects of fibre and vascular structure.

Cicely K. Macnamara, Alfonso Caiazzo, Ignacio Ramis-Conde, Mark A. J. Chaplain

J. Comput. Sci., 2020

2019

Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes.

Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi

SIAM J. Appl. Math., 2019

2016

On the stability of homogeneous steady states of a chemotaxis system with logistic growth term.

Mark A. J. Chaplain, J. Ignacio Tello

Appl. Math. Lett., 2016

2013

Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model.

Gibin G. Powathil, Douglas J. A. Adamson, Mark A. J. Chaplain

PLoS Comput. Biol., 2013

A Multiscale Moving Boundary Model Arising in Cancer Invasion.

Dumitru Trucu, Ping Lin, Mark A. J. Chaplain, Yangfan Wang

Multiscale Model. Simul., 2013

2008

Mathematical modelling of cancer cell invasion of tissue.

Ignacio Ramis-Conde, Mark A. J. Chaplain, Alexander R. A. Anderson

Math. Comput. Model., 2008

Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours.

O. Lejeune, Mark A. J. Chaplain, I. El Akili

Math. Comput. Model., 2008

2007

Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Comput. Math. Appl., 2007

2006

Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity.

Mark A. J. Chaplain, G. Lolas

Networks Heterog. Media, 2006

Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis.

Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain

Math. Comput. Model., 2006

Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems.

Alf Gerisch, Mark A. J. Chaplain

Math. Comput. Model., 2006

Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2006

2005

Modelling and analysis of a competitive model with stage structure.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Math. Comput. Model., 2005

A laguerre-legendre spectral-element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors.

J. Valenciano, Mark A. J. Chaplain

Math. Comput. Model., 2005

Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies.

Angélique Stéphanou, Steven R. McDougall, Alexander R. A. Anderson, Mark A. J. Chaplain

Math. Comput. Model., 2005

Periodic solutions for a predator-prey model with Holling-type functional response and time delays.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2005

Global stability of a stage-structured predator-prey model with prey dispersal.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2005

2004

Periodic solution for athree-species Lotka-Volterra food-chain model with time delays.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Math. Comput. Model., 2004

Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

Persistence and stability of a stage-structured predator-prey model with time delays.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

Periodic solutions of a predator-prey model with stage structure for predator.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

Persistence and global stability of a ratio-dependent predator-prey model with stage structure.

Rui Xu, Mark A. J. Chaplain, Fordyce A. Davidson

Appl. Math. Comput., 2004

2002

Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays.

Rui Xu, Mark A. J. Chaplain, Lansun Chen

Appl. Math. Comput., 2002

Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response.

Rui Xu, Mark A. J. Chaplain

Appl. Math. Comput., 2002

Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays.

Rui Xu, Mark A. J. Chaplain

Appl. Math. Comput., 2002

2001

An analysis of a mathematical model of trophoblast invasion.

Helen M. Byrne, Mark A. J. Chaplain, Graeme J. Pettet, D. L. Sean McElwain

Appl. Math. Lett., 2001

2000

Travelling waves in a model of species migration.

D. L. Feltham, Mark A. J. Chaplain

Appl. Math. Lett., 2000

Steady-state solutions of a generic model for the formation of capillary networks.

Fordyce A. Davidson, Alexander R. A. Anderson, Mark A. J. Chaplain

Appl. Math. Lett., 2000