Modelling cell motility and chemotaxis with evolving surface finite elements

The surface finite element method for pattern formation on evolving biological surfaces

(2011) R. Barreira et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Global existence for semilinear reaction–diffusion systems on evolving domains

(2011) Chandrasekhar Venkataraman et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Model for self-polarization and motility of keratocyte fragments

(2011) F. Ziebert et al.   Journal of the Royal Society Interface

Modeling parr-mark pattern formation during the early development of Amago trout

(2011) Chandrasekhar Venkataraman et al.   PHYSICAL REVIEW E

“Self-Assisted” Amoeboid Navigation in Complex Environments

(2011) Inbal Hecht et al.   PLoS One

The Voronoi Implicit Interface Method for computing multiphase physics

(2011) R. I. Saye et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Modeling Cell Movement and Chemotaxis Using Pseudopod-Based Feedback

(2011) M. P. Neilson et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Chemotaxis: A Feedback-Based Computational Model Robustly Predicts Multiple Aspects of Real Cell Behaviour

(2011) Matthew P. Neilson et al.   PLOS BIOLOGY

Use of the parameterised finite element method to robustly and efficiently evolve the edge of a moving cell

(2010) Matthew P. Neilson et al.   Integrative Biology

Modeling and computation of two phase geometric biomembranes using surface finite elements

(2010) Charles M. Elliott et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Understanding eukaryotic chemotaxis: a pseudopod-centred view

(2010) Robert H. Insall   NATURE REVIEWS MOLECULAR CELL BIOLOGY

Computational Model for Cell Morphodynamics

(2010) Danying Shao et al.   PHYSICAL REVIEW LETTERS

Navigation of Chemotactic Cells by Parallel Signaling to Pseudopod Persistence and Orientation

(2009) Leonard Bosgraaf et al.   PLoS One

Analysis of cell movement by simultaneous quantification of local membrane displacement and fluorescent intensities using Quimp2

(2009) Leonard Bosgraaf et al.   CELL MOTILITY AND THE CYTOSKELETON

Modeling cellular deformations using the level set formalism

(2008) Liu Yang et al.   BMC Systems Biology

Mathematics of cell motility: have we got its number?

(2008) Alex Mogilner   JOURNAL OF MATHEMATICAL BIOLOGY

Mechanism of shape determination in motile cells

(2008) Kinneret Keren et al.   NATURE

Computational parametric Willmore flow

(2008) Gerhard Dziuk   NUMERISCHE MATHEMATIK

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

(2008) John W. Barrett et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING