#5500. Conservative finite volume method on deforming geometries: The case of protein aggregation in dividing yeast cells

May 2027publication date
Proposal available till 28-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Applied Mathematics;
Numerical Analysis;
Computational Mathematics;
Modeling and Simulation;
Physics and Astronomy (all);
Physics and Astronomy (miscellaneous);
Computer Science Applications;
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Abstract:
Motivated by experimental observations of asymmetric protein aggregates distributions in dividing yeast cells, we present a conservative finite volume approach for reaction-diffusion systems defined over deforming geometries. The key idea of our approach is to use spatio-temporal control volumes instead of integrating the time-discretized equations in space, as it is common practice. Both our theoretical and computational results demonstrate the convergence of our method and highlight how traditional approaches can lead to inaccurate solutions. We employ this novel approach to investigate the partitioning of protein aggregates in dividing yeast cells, leveraging the flexibility of the level set method to construct realistic biological geometries.
Keywords:
Conservative; Dividing cell; Finite volume; Level set; Octree; Protein aggregation

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