Dr. Nganguia’s earliest involvement in research dates back to his undergraduate studies. In his sophomore year he began learning about ways mathematics could be used to model various processes and natural phenomena. He was introduced to fluid dynamics, and later co-authored his first paper investigating the plausible links between coastal topology and whale strandings.
In graduate school, Dr. Nganguia turned his focus to applications in medicine and physiology. He wrote his doctoral dissertation on the response of deformable interfaces to an externally applied electric field, and pursued this research topic during his first postdoctoral appointment. In particular he considered how droplets (simple boundaries defined by surface tension), and vesicles (closed lipid layers frequently used as models for biological cells) deform when subjected to an electric field.
Later during his second postdoctoral appointment, Dr. Nganguia branched out and began investigating microorganisms’ swimming in complex fluids. He quickly found the topic practically relevant and nontrivial, considering microorganisms live in a world with negligible inertia (a world where viscous forces dominate). Moreover, while propulsion in simple fluids has enjoyed decades of productive research, microorganisms live in biological fluids that are heterogeneous and/or polymeric, displaying complex rheological properties. With this realization, Dr. Nganguia went on to study the swimming mechanics of microorganisms in so-called thin-shearing fluids, and in heterogeneous environments.
Dr. Nganguia is now working on integrating these theories (electrohydrodynamics and microorganisms’ propulsion) to investigate problems of practical relevance. Funded by the U.S. National Science Foundation, he hopes his research will help develop electrically-driven systems that can be deployed to improve patients’ care and outcomes. He continues to collaborate with colleagues at various institutions on these and other research projects related to mathematical biology and fluid dynamics.
Dr. Nganguia’s Mathematical Fluid Dynamics Group is recruiting students at both graduate and undergraduate levels. If you are interested in Mathematical Biology, Mathematical Physics, or multiscale modeling, and would like to join our group, please do not hesitate to contact me via email.
- Ummul Aymen (2022-present): Applied Mathematics
- James Della-Giustina (2022-present): Applied Mathematics
- Omar Farooqui (2022-present): Applied Mathematics
- Youssef Ben Bella (2022-present): Computer Sciences
- William Hunter (2022-present): Mathematics
- Ifenyinwa Okeke (2022-present): Molecular Biology