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A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions

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posted on 2023-06-08, 22:04 authored by F Yang, Chandrasekhar VenkataramanChandrasekhar Venkataraman, Vanessa StylesVanessa Styles, Anotida Madzvamuse
We present a problem concerning the optimal control of geometric evolution laws. This is a minimisation problem that aims to find a control ? which minimises the objective functional J subject to some imposed constraints. We apply this methodology to an application of whole cell tracking. Given two sets of data of cell morphologies, we may solve the optimal control problem to dynamically reconstruct the cell movements between the time frame of these two sets of data. This problem is solved in two and three space dimensions, using a state-of-the-art numerical method, namely multigrid, with adaptivity and parallelism.


Unravelling new mathematics for 3D cell migration; G1438; LEVERHULME TRUST; RPG-2014-149

Kickstart: Software development and commercialisation of cell tracking algorithms; G1494; University of Sussex

Mathematical Modelling and Analysis of Spatial Patterning on Evolving Surfaces; G0872; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/J016780/1

InCeM: Research Training Network on Integrated Component Cycling in Epithelial Cell Motility; G1546; European Union


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  • Published

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Presentation Type

  • lecture

Event name

4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015

Event location

Paris, France

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Event date

29 June-1 July 2015

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  • Mathematics Publications

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