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Whole cell tracking through the optimal control of geometric evolution laws

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posted on 2023-06-08, 18:45 authored by Konstantinos N Blazakis, Anotida MadzvamuseAnotida Madzvamuse, Constantino-Carlos Reyes-Aldasoro, Vanessa StylesVanessa Styles, Chandrasekhar VenkataramanChandrasekhar Venkataraman
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 datasets. 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.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Computational Physics

ISSN

0021-9991

Publisher

Elsevier

Volume

297

Page range

495-514

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-06-05

First Open Access (FOA) Date

2015-06-05

First Compliant Deposit (FCD) Date

2015-06-05

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