Publications

Selected papers in applied mathematics, fluid mechanics, and computational biology

My research explores complex fluid dynamics, fluid–structure interactions, and the mathematical modeling of biological locomotion.

A selection of publications is listed below, with links to journal articles or publicly available versions. For a complete publication history and additional professional information, see my curriculum vitae.

2026

Corkscrew Motion of Trypanosoma brucei Is Driven by Helical Beating of the Flagellum and Facilitated by Its Bent Shape

S. Cheng, D. Das, M. Barchuk, R. Armstrong, M. M. Klingbeil, B. Thomases, and S. Zhou.

Proceedings of the National Academy of Sciences, 123(27), e2536746123 (2026).

Journal article

Emergence of Purely Elastoplastic Turbulence in Shear Flows

M. Abdullah, S. Pradeep, D. J. Jerolmack, B. Thomases, and P. E. Arratia.

Physical Review Letters, 137, 144002 (2026).

Journal article

2025

Quantification of Changes with Combined Shape Mode Analysis and Swimming Simulations

K. E. Gutierrez, B. Thomases, P. E. Arratia, and R. D. Guy.

Philosophical Transactions of the Royal Society A (2025).

Article and open-access version

2024

Effect of Fluid Elasticity on the Emergence of Oscillations in an Active Elastic Filament

K. G. Link, R. D. Guy, B. Thomases, and P. E. Arratia.

Journal of the Royal Society Interface, 21, 20240046 (2024).

Journal article

Earlier work

Complex fluid dynamics

A Mathematician’s Perspective on the Oldroyd-B Model: Progress and Future Challenges

B. Thomases and M. Renardy.

Journal of Non-Newtonian Fluid Mechanics, 293, 104573 (2021).

Three-Dimensional Viscoelastic Instabilities in a Four-Roll Mill Geometry at the Stokes Limit

P. Gutierrez-Castillo, A. Kagel, and B. Thomases.

Physics of Fluids, 32, 023102 (2020).

Polymer Stress Growth in Viscoelastic Fluids in Oscillating Extensional Flows with Applications to Micro-Organism Locomotion

B. Thomases and R. D. Guy.

Journal of Non-Newtonian Fluid Mechanics, 269, 47–56 (2019).

Swimming and numerical methods

Flagellar Swimming in Viscoelastic Fluids: Role of Fluid Elastic Stress Revealed by Simulations Based on Experimental Data

C. Li, B. Qin, A. Gopinath, P. E. Arratia, B. Thomases, and R. D. Guy.

(2017).

Convergent Solutions of Stokes Oldroyd-B Boundary Value Problems Using the Immersed Boundary Smooth Extension (IBSE) Method

D. B. Stein, R. D. Guy, and B. Thomases.

Journal of Non-Newtonian Fluid Mechanics, 268, 56–65 (2019).


More publications

For a more complete publication history, see: