A Moving Grid Finite Element Method for the Simulation of Pattern Generation by Turing Models on Growing Domains. - Anotida Madzvamuse; Philip K. Maini; Andrew J. Wathen (J. Sci. Comput., 2005)

Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains. - Anotida Madzvamuse (J. Comput. Phys., 2006)

Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. - Anotida Madzvamuse; Philip K. Maini (J. Comput. Phys., 2007)

Implicit-Explicit Timestepping with Finite Element Approximation of Reaction-Diffusion Systems on Evolving Domains. - Omar Lakkis; Anotida Madzvamuse; Chandrasekhar Venkataraman (SIAM J. Numer. Anal., 2013)

Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations. - Anotida Madzvamuse; Andy H. W. Chung (Appl. Math. Comput., 2014)

Whole cell tracking through the optimal control of geometric evolution laws. - Konstantinos N. Blazakis; Anotida Madzvamuse; Constantino Carlos Reyes-Aldasoro; Vanessa Styles; Chandrasekhar Venkataraman (J. Comput. Phys., 2015)

Lumped finite elements for reaction-cross-diffusion systems on stationary surfaces. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura; Chandrasekhar Venkataraman (Comput. Math. Appl., 2017)

Domain-Dependent Stability Analysis of a Reaction-Diffusion Model on Compact Circular Geometries. - Wakil Sarfaraz; Anotida Madzvamuse (Int. J. Bifurc. Chaos, 2018)

Numerical Preservation of Velocity Induced Invariant Regions for Reaction-Diffusion Systems on Evolving Surfaces. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura; Chandrasekhar Venkataraman (J. Sci. Comput., 2018)

Bulk-surface virtual element method for systems of coupled bulk-surface PDEs in two-space dimensions. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura (CoRR, 2020)

Integrating Actin and Myosin II in a Viscous Model for Cell Migration. - Anotida Madzvamuse; Benard Kipchumba Kiplangat (Frontiers Appl. Math. Stat., 2020)

Characterizing the Effects of Self- and Cross-Diffusion on Stationary Patterns of a Predator-Prey System. - Jia-Fang Zhang; Hongbo Shi; Anotida Madzvamuse (Int. J. Bifurc. Chaos, 2020)

Investigating Optimal Time Step Intervals of Imaging for Data Quality through a Novel Fully-Automated Cell Tracking Approach. - Feng Wei Yang; Lea Tomásová; Zeno von Guttenberg; Ke Chen 002; Anotida Madzvamuse (J. Imaging, 2020)

A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix. - Nikolaos Sfakianakis; Anotida Madzvamuse; Mark A. J. Chaplain (Multiscale Model. Simul., 2020)

Virtual element method for elliptic bulk-surface PDEs in three space dimensions. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura (CoRR, 2021)

Turing Pattern Formation Under Heterogeneous Distributions of Parameters for an Activator-Depleted Reaction Model. - David Hernandez-Aristizabal; Diego Alexander Garzón-Alvarado; Anotida Madzvamuse (J. Nonlinear Sci., 2021)

Dynamics of Shadow System of a Singular Gierer-Meinhardt System on an Evolving Domain. - Nikos I. Kavallaris; Raquel Barreira; Anotida Madzvamuse (J. Nonlinear Sci., 2021)

Bulk-surface virtual element method for systems of PDEs in two-space dimensions. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura (Numerische Mathematik, 2021)

Force Estimation during Cell Migration Using Mathematical Modelling. - Fengwei Yang; Chandrasekhar Venkataraman; Sai Gu; Vanessa Styles; Anotida Madzvamuse (J. Imaging, 2022)

Challenges Encountered and Lessons Learned when Using a Novel Anonymised Linked Dataset of Health and Social Care Records for Public Health Intelligence: The Sussex Integrated Dataset. - Elizabeth Ford; Richard Tyler; Natalie Johnston; Vicki Spencer-Hughes; Graham Evans; Jon Elsom; Anotida Madzvamuse; Jacqueline Clay; Kate Gilchrist; Melanie Rees-Roberts (Inf., 2023)

Parameter Spaces for Cross-Diffusive-Driven Instability in a Reaction-Diffusion System on an Annular Domain. - Gülsemay Yigit; Wakil Sarfaraz; Raquel Barreira; Anotida Madzvamuse (Int. J. Bifurc. Chaos, 2025)

VEMcomp: a Virtual Elements MATLAB package for bulk-surface PDEs in 2D and 3D. - Massimo Frittelli; Anotida Madzvamuse; Ivonne Sgura (Numer. Algorithms, 2025)