Microbiorobotics

Chapter 2

Mathematical Models for Individual Swimming Bacteria

H. Shum and E.A. Gaffney

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, United Kingdom

2.1 Introduction

2.2 The biological, mathematical, and numerical background

2.2.1 Bacterial swimming via external flagellar helices: A structural summary

2.2.2 Modeling bacterial swimming: An overview

2.2.3 Modeling frameworks

2.3 A selective survey of recent progress in modeling applications

2.3.1 The influence of geometry

2.3.2 Forward–backward asymmetry

2.3.3 Minimal swimmers

2.3.4 Elastic flagellar interactions with the surrounding fluid

2.4 Future perspectives

Acknowledgements

References

2.1 Introduction

Microorganisms exhibit staggering biodiversity, far ...