1504.05399.pdf (2.36 MB)
Whole cell tracking through the optimal control of geometric evolution laws
journal contribution
posted on 2023-06-08, 18:45 authored by Konstantinos N Blazakis, Anotida MadzvamuseAnotida Madzvamuse, Constantino-Carlos Reyes-Aldasoro, Vanessa StylesVanessa Styles, Chandrasekhar VenkataramanChandrasekhar VenkataramanCell 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 PhysicsISSN
0021-9991Publisher
ElsevierExternal DOI
Volume
297Page range
495-514Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-06-05First Open Access (FOA) Date
2015-06-05First Compliant Deposit (FCD) Date
2015-06-05Usage metrics
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