Modelling cell guidance and curvature control in evolving biological tissues

DOI10.1016/j.jtbi.2021.110658zbMath1465.92012OpenAlexW3135670807MaRDI QIDQ2029528

Solene G. D. Hegarty-Cremer, Thomas L. Andersen, Matthew J. Simpson, Pascal R. Buenzli

Publication date: 3 June 2021

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://www.biorxiv.org/content/10.1101/2020.07.10.197020v2.full.pdf

zbMATH Keywords

moving boundary problemstissue engineeringsurfactanttissue growthbone remodelling

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (2)

Model-based data analysis of tissue growth in thin 3D printed scaffolds ⋮ CBPM_curvature_and_cell_guidance

Uses Software

• Matlab
• FronTier
• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The mathematics and mechanics of biological growth
• A cell based particle method for modeling dynamic interfaces
• A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
• Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity
• A grid based particle method for moving interface problems
• Kinematics of surface growth
• An Eulerian formulation for solving partial differential equations along a moving interface
• Mathematical biology. Vol. 1: An introduction.
• Level set methods and dynamic implicit surfaces
• Multi-scale modeling of a wound-healing cell migration assay
• Osteocytes as a record of bone formation dynamics: a mathematical model of osteocyte generation in bone matrix
• A simple package for front tracking
• Curvature formulas for implicit curves and surfaces
• Elementary Differential Geometry
• A Panoramic View of Riemannian Geometry
• On the surfactant mass balance at a deforming fluid interface
• Conservative front tracking and level set algorithms
• Nonlinear modelling of cancer: bridging the gap between cells and tumours
• A front-tracking method for the computations of multiphase flow.

This page was built for publication: Modelling cell guidance and curvature control in evolving biological tissues