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List of works by Mark Chaplain

A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix

scientific article published on 13 May 2020

A Mathematical Framework for Modelling the Metastatic Spread of Cancer

scientific article published on 22 March 2019

A Mathematical Model for the Diffusion of Tumour Angiogenesis Factor into the Surrounding Host Tissue ⬇️

scientific article published on January 1, 1991

A Multiscale Mathematical Model of Tumour Invasive Growth.

scientific article published on 16 February 2017

A Spatio-Temporal Model of Notch Signalling in the Zebrafish Segmentation Clock: Conditions for Synchronised Oscillatory Dynamics ⬇️

scientific article published on February 28, 2011

A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions

scientific article published on 04 May 2008

A continuum mathematical model of the developing murine retinal vasculature

scientific article published on February 2011

A hybrid discrete-continuum mathematical model of pattern prediction in the developing retinal vasculature

scientific article published on 25 July 2012

A mathematical analysis of a model for tumour angiogenesis

scientific article published on 01 January 1995

A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts

scientific article published on 01 September 2004

A mathematical model for the growth and classification of a solid tumor: a new approach via nonlinear elasticity theory using strain-energy functions

scientific article published on October 1, 1992

A mathematical model of breast cancer development, local treatment and recurrence

scientific article published on 12 December 2006

A new mathematical model for avascular tumour growth

scientific article published on 01 October 2001

A novel 'sandwich' assay for quantifying chemo-regulated cell migration within 3-dimensional matrices: wound healing cytokines exhibit distinct motogenic activities compared to the transmembrane assay.

scientific article

A pharmacodynamic model of Aurora kinase inhibitors in the spindle assembly checkpoint

scientific article published in January 2010

A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours

scientific article published on 30 July 2019

Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion.

scientific article published on 15 January 2018

An application of membrane theory to tip morphogenesis in Acetabularia

scientific article published on 01 September 1990

Bridging the gap between individual-based and continuum models of growing cell populations

scientific article published on 10 June 2019

Bystander effects and their implications for clinical radiation therapy: Insights from multiscale in silico experiments ⬇️

scientific article published on 12 April 2016

Calibrating models of cancer invasion: parameter estimation using approximate Bayesian computation and gradient matching

scientific article published on 16 June 2021

Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems

scientific article published on 14 April 2007

Combining radiation with hyperthermia: a multiscale model informed by in vitro experiments

scientific article published in January 2018

Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model

scientific article published on 2 March 2018

Computational Modelling of Cancer Development and Growth: Modelling at Multiple Scales and Multiscale Modelling.

scientific article published on 20 June 2017

Computational modeling of single-cell migration: the leading role of extracellular matrix fibers

scientific article published on September 2012

Continuous and discrete mathematical models of tumor-induced angiogenesis.

scientific article published in September 1998

Diffusion driven oscillations in gene regulatory networks

scientific article published on 19 July 2016

Dissipative particle dynamics simulation of critical pore size in a lipid bilayer membrane

scientific article published on 06 March 2019

Does breast cancer exist in a state of chaos?

scientific article

Dynamic heterogeneous spatio-temporal pattern formation in host-parasitoid systems with synchronised generations

scientific article published on 11 November 2004

Dynamics of angiogenesis during murine retinal development: a coupled in vivo and in silico study

scientific article published on 21 March 2012

Dynamics of angiogenesis during wound healing: a coupled in vivo and in silico study.

scientific article published in April 2011

Evasion of tumours from the control of the immune system: consequences of brief encounters.

scientific article published on 25 September 2012

Evolution of searching and life history characteristics in individual-based models of host-parasitoid-microbe associations

scientific article

Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma

scientific article published on 24 February 2017

Global spatiotemporal order and induced stochastic resonance due to a locally applied signal

scientific article published on 7 April 2004

Influence of the nuclear membrane, active transport, and cell shape on the Hes1 and p53-Mdm2 pathways: insights from spatio-temporal modelling

scientific article published on 20 April 2012

Integrated intravital microscopy and mathematical modeling to optimize nanotherapeutics delivery to tumors

scientific article published on 22 March 2012

Integrating Intracellular Dynamics Using CompuCell3D and Bionetsolver: Applications to Multiscale Modelling of Cancer Cell Growth and Invasion ⬇️

scientific article published on March 26, 2012

Journal of Mathematical Biology. Preface

scientific article published in April 2009

Learning-induced switching costs in a parasitoid can maintain diversity of host aphid phenotypes although biocontrol is destabilized under abiotic stress

scientific article published on 25 February 2020

Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation.

scientific article

Mathematical modeling of cancer invasion: the role of membrane-bound matrix metalloproteinases.

scientific article published on 3 April 2013

Mathematical modeling of tumor growth and treatment.

scientific article published on January 2014

Mathematical modeling of tumor-induced angiogenesis

scientific article published on 01 January 2006

Mathematical modelling of angiogenesis.

scientific article

Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies

scientific article published on 17 February 2006

Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies.

scientific article published in July 2002

Mathematical modelling of host-parasitoid systems: effects of chemically mediated parasitoid foraging strategies on within- and between-generation spatio-temporal dynamics

scientific article published in January 2002

Mathematical modelling of radiotherapy strategies for early breast cancer.

scientific article published on 28 December 2005

Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development.

scientific article published on 28 April 2006

Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour.

scientific article published on March 2004

Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions.

scientific article published in May 1995

Mean field analysis of a spatial stochastic model of a gene regulatory network.

scientific article published on 17 October 2014

Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations

scientific article published in 2021

Modeling gastrulation in the chick embryo: formation of the primitive streak

scientific article published in 2010

Modeling the temporal evolution of the spindle assembly checkpoint and role of Aurora B kinase

scholarly article

Modelling contact spread of infection in host-parasitoid systems: vertical transmission of pathogens can cause chaos.

scientific article published on 25 October 2009

Modelling the Immune Response to Cancer: An Individual-Based Approach Accounting for the Difference in Movement Between Inactive and Activated T Cells

scientific article published on 13 March 2018

Modelling the effects of bacterial cell state and spatial location on tuberculosis treatment: Insights from a hybrid multiscale cellular automaton model.

scientific article published on 7 March 2018

Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: biological insights from a hybrid multiscale cellular automaton model.

scientific article published on 29 May 2012

Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory.

scientific article

Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications.

scientific article published on 20 March 2006

Multi-scale modelling of the dynamics of cell colonies: insights into cell-adhesion forces and cancer invasion from in silico simulations

scientific article published on 17 December 2014

Multimodality imaging and mathematical modelling of drug delivery to glioblastomas

scientific article published on October 2016

Multiscale modelling and nonlinear simulation of vascular tumour growth.

scientific article

Notes on configurational thermostat schemes

scientific article published on 01 June 2010

On immunotherapies and cancer vaccination protocols: a mathematical modelling approach

scientific article published on 14 May 2009

On the concentration profile of a growth inhibitory factor in multicell spheroids.

scientific article published in June 1993

Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics

scientific article published on 03 November 2009

Physical oncology: a bench-to-bedside quantitative and predictive approach.

scientific article published on 11 January 2011

Quantifying the role of angiogenesis in malignant progression of gliomas: in silico modeling integrates imaging and histology

scientific article published on 7 September 2011

Quantitative Predictive Modelling Approaches to Understanding Rheumatoid Arthritis: A Brief Review

scientific article published on 27 December 2019

Quantitative modeling of tumor dynamics and radiotherapy.

scientific article published on 24 July 2010

Role of extracellular matrix and microenvironment in regulation of tumor growth and LAR-mediated invasion in glioblastoma

scientific article published in PLoS ONE

Spatial-Stochastic modelling of synthetic gene regulatory networks

scientific article published on 10 February 2019

Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways

scientific article

Spatio-temporal modelling of the NF-κB intracellular signalling pathway: the roles of diffusion, active transport, and cell geometry

scientific article

Spatio-temporal models of synthetic genetic oscillators.

scientific article published in February 2017

Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth.

scientific article published in May 2001

Stochastic differential equation modelling of cancer cell migration and tissue invasion

scientific article published in 2023

Stochastic modelling of chromosomal segregation: errors can introduce correction

scientific article

Strategies of eradicating glioma cells: a multi-scale mathematical model with MiR-451-AMPK-mTOR control

scientific article

Structured models of cell migration incorporating molecular binding processes

scientific article

Study on the tumor-induced angiogenesis using mathematical models

scientific article published on 11 September 2017

Systems oncology: towards patient-specific treatment regimes informed by multiscale mathematical modelling.

scientific article published on 04 March 2014

The effect of interstitial pressure on therapeutic agent transport: coupling with the tumor blood and lymphatic vascular systems

scientific article published on 19 April 2014

The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems

scientific article published on 7 December 2012

The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity.

scientific article published on 8 May 2018

The usage of a three-compartment model to investigate the metabolic differences between hepatic reductase null and wild-type mice.

scientific article published on 5 October 2015

Transparency and openness in science

scientific article published on 11 January 2017

Travelling-wave analysis of a model of the immune response to cancer.

scientific article

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