Whole cell tracking through the optimal control of geometric evolution laws

Konstantinos N. Blazakis, Anotida Madzvamuse, Constantino Carlos Reyes-Aldasoro, Vanessa Styles, Chandrasekhar Venkataraman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
1 Downloads (Pure)

Abstract

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.

Original languageEnglish
Pages (from-to)495-514
Number of pages20
JournalJournal of Computational Physics
Volume297
Early online date15 May 2015
DOIs
Publication statusPublished - 15 Sept 2015

Keywords

  • Cell tracking
  • Geometric evolution law
  • Optimal control
  • Phase field
  • Finite elements

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