Whole cell tracking through the optimal control of geometric evolution laws

Cell tracking algorithms which automate and systematise the analysis of time lapse image data sets of cells are an indispensable tool in the modelling and understanding of cellular phenomena. In this study we present a theoretical framework and an algorithm for whole cell tracking. Within this work...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 2015-09, Vol.297, p.495-514
Main Authors: Blazakis, Konstantinos N., Madzvamuse, Anotida, Reyes-Aldasoro, Constantino Carlos, Styles, Vanessa, Venkataraman, Chandrasekhar
Format: Article
Language:English
Subjects:
Algorithms
Cell tracking
Cellular
Evolution
Finite elements
Geometric evolution law
Mathematical models
Optimal control
Phase field
Reconstruction
Tracking
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Cell tracking algorithms which automate and systematise the analysis of time lapse image data sets of cells are an indispensable tool in the modelling and understanding of cellular phenomena. In this study we present a theoretical framework and an algorithm for whole cell tracking. Within this work we consider that “tracking” is equivalent to a dynamic reconstruction of the whole cell data (morphologies) from static image data sets. The novelty of our work is that the tracking algorithm is driven by a model for the motion of the cell. This model may be regarded as a simplification of a recently developed physically meaningful model for cell motility. The resulting problem is the optimal control of a geometric evolution law and we discuss the formulation and numerical approximation of the optimal control problem. The overall goal of this work is to design a framework for cell tracking within which the recovered data reflects the physics of the forward model. A number of numerical simulations are presented that illustrate the applicability of our approach.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2015.05.014