A Bayesian Framework to Estimate Fluid and Material Parameters in Micro-swimmer Models

Bull Math Biol. 2021 Jan 20;83(3):23. doi: 10.1007/s11538-020-00852-6.

Abstract

To advance our understanding of the movement of elastic microstructures in a viscous fluid, techniques that utilize available data to estimate model parameters are necessary. Here, we describe a Bayesian uncertainty quantification framework that is highly parallelizable, making parameter estimation tractable for complex fluid-structure interaction models. Using noisy in silico data for swimmers, we demonstrate the methodology's robustness in estimating fluid and elastic swimmer parameters, along with their uncertainties. We identify correlations between model parameters and gain insight into emergent swimming trajectories of a single swimmer or a pair of swimmers. Our proposed framework can handle data with a spatiotemporal resolution representative of experiments, showing that this framework can be used to aid in the development of artificial micro-swimmers for biomedical applications, as well as gain a fundamental understanding of the range of parameters that allow for certain motility patterns.

Keywords: Bayesian; Brinkman; Fluid–structure interaction; Micro-swimmer; Parameter estimation; Stokes.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Animals
  • Bacterial Physiological Phenomena
  • Bayes Theorem
  • Humans
  • Hydrodynamics
  • Male
  • Models, Biological*
  • Spermatozoa / physiology
  • Swimming*