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Two-dimensional axoneme model for microswimmers in Stokes Flow.

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Masters Project

Adaptation of an existing filament model as a two-wall sliding filament model, using spring forces to model passive links and active motor protein links as seen in biological axonemal architecture of flagellum and cilia.

Original repository (accessed 1 October 2019): https://github.com/ekeaveny/filaments/tree/master/matlab-2d-rpy

Overview

This original code demonstrates the use of the method described here in simulating a single flexible filament falling under gravity in an infinite domain. This version adapts the code for modelling the dynamics of swimming microorganisms in Stokes flow.

It uses the 'EJBb' version of Broyden's method (Algorithm 2 in the paper) with a reduced 'robot arm' system of nonlinear equations. For the hydrodynamic solver, it uses the RPY tensors.

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