A Symmetry Exploration of the Continuous Medical Implant Model Derived from Two-dimensional Discrete Cases

Authors

  • Conny Adams* Tshwane University of Technology
  • Jacob Manale University of South Africa

DOI:

https://doi.org/10.11145/541

Abstract

In their work, Alicia Prieto-Langraica et. al., upscaled a two-dimensional discretemodel into a pair of partial differential equations, decribing the interaction of bloodcells and bacteria on the surface of a medical implant. Here we use Lie’ symmetrytheoretical methods to deduce the symmetries, then upscale these through a correctedEuler’s ansatz, subsequently resulting into practical analytical solutions.

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Published

2015-05-29

Issue

Vol. 2 No. 1 (2015)

Section

Conference Contributions (Pretoria)

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