College - Author 1

College of Science and Mathematics

Department - Author 1

Physics Department

Degree Name - Author 1

BA in Physics

College - Author 2

College of Science and Mathematics

Department - Author 2

Physics Department

Degree - Author 2

BS in Physics



Primary Advisor

Tatiana Kuriabova, College of Science and Math, Physics Department


This report investigates the computational and theoretical techniques - modeled by E. Lauga and C. Eloy - used to optimize the shape of an activated flagellum for enhanced cell motility. Cell motility is ubiquitous and has a large affect on biological systems such as marine life ecosystems, reproduction, and infection. The physical principles governing flagellar propulsion are explored using computational fluid dynamics simulations, mathematical modeling, and the sequential quadratic programming (SQP) optimization algorithm. Through iterative refinement, we can identify optimized flagellar shapes that would minimize the energetic cost dependent on a single dimensionless sperm numbers (Sp). The computation of the optimum shapes are discretized into a series of Fourier modes that are parameterized by Sp. This research provides valuable insights into the design principles underlying efficient flagellar locomotion, with potential applications in biophysics.