Mark A. J. Chaplain

Orcid: 0000-0001-5727-2160

According to our database1, Mark A. J. Chaplain authored at least 33 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation.
J. Comput. Sci., 2024

2021
Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors.
SIAM J. Appl. Math., 2021

2020
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix.
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.
J. Comput. Sci., 2020

2019
Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes.
SIAM J. Appl. Math., 2019

2016
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term.
Appl. Math. Lett., 2016

2013
Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model.
PLoS Comput. Biol., 2013

A Multiscale Moving Boundary Model Arising in Cancer Invasion.
Multiscale Model. Simul., 2013

2008
Mathematical modelling of cancer cell invasion of tissue.
Math. Comput. Model., 2008

Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours.
Math. Comput. Model., 2008

2007
Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays.
Comput. Math. Appl., 2007

2006
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity.
Networks Heterog. Media, 2006

Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis.
Math. Comput. Model., 2006

Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems.
Math. Comput. Model., 2006

Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator.
Appl. Math. Comput., 2006

2005
Modelling and analysis of a competitive model with stage structure.
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.
Math. Comput. Model., 2005

Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angiogenic and chemotherapeutic drug strategies.
Math. Comput. Model., 2005

Periodic solutions for a predator-prey model with Holling-type functional response and time delays.
Appl. Math. Comput., 2005

Global stability of a stage-structured predator-prey model with prey dispersal.
Appl. Math. Comput., 2005

2004
Periodic solution for athree-species Lotka-Volterra food-chain model with time delays.
Math. Comput. Model., 2004

Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
Appl. Math. Comput., 2004

Persistence and stability of a stage-structured predator-prey model with time delays.
Appl. Math. Comput., 2004

Periodic solutions of a predator-prey model with stage structure for predator.
Appl. Math. Comput., 2004

Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay.
Appl. Math. Comput., 2004

Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal.
Appl. Math. Comput., 2004

Persistence and global stability of a ratio-dependent predator-prey model with stage structure.
Appl. Math. Comput., 2004

2002
Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays.
Appl. Math. Comput., 2002

Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response.
Appl. Math. Comput., 2002

Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays.
Appl. Math. Comput., 2002

2001
An analysis of a mathematical model of trophoblast invasion.
Appl. Math. Lett., 2001

2000
Travelling waves in a model of species migration.
Appl. Math. Lett., 2000

Steady-state solutions of a generic model for the formation of capillary networks.
Appl. Math. Lett., 2000


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