Benoit Huard

Benoit Huard is an Assistant Professor and Programme Leader for the MSc in Mathematics at Northumbria University, working within the School of Engineering Physics and Mathematics. His research focuses on nonlinear dynamics, mathematical modeling of biological systems, and applications in glucose-insulin regulation. He is also involved in hydrodynamics research related to seaplanes and ground effect vehicles.

Dr. Huard completed his academic journey with:

• BSc in Mathematics from Université du Québec à Trois-Rivières (2002-2005)
• MSc in Mathematics from Université de Montréal (2005-2007)
• PhD in Mathematical Physics from Université de Montréal (2007-2010), with thesis on "Rank-k solutions and Riemann invariants for multidimensional hydrodynamic-type systems"

Dr. Huard's primary research interests center on mathematical modeling of biological processes, particularly focusing on glucose-insulin regulation systems. His work demonstrates that delays implied by biological synthesis processes are essential to generating healthy rhythms crucial in preventing diabetes complications. He investigates ultradian rhythms in glucose regulation, entrainment and synchronisation in various biological systems, and develops statistical methods for parameter inference. Additionally, he applies geometric methods in differential equations to model complex biological phenomena and has made significant contributions to hydrodynamics research, particularly in seaplane performance and stability analysis.

His recent publications show a strong trend toward interdisciplinary research bridging mathematics, biology, and engineering. The majority of his work focuses on mathematical modeling of glucose-insulin dynamics, with particular attention to delay differential equations and nonlinear oscillations. He has also developed expertise in applying perturbation methods to analyze stability of marine vehicles and seaplanes. His research portfolio demonstrates a consistent pattern of moving from theoretical mathematical physics toward increasingly applied biological and engineering problems.

Dr. Huard has received recognition through several professional affiliations and awards:

• Fellow of the Institute of Mathematics and its Applications
• Ordinary member of the London Mathematical Society
• Ordinary member of the European Society of Mathematical Biology
• Postdoctoral fellowship from FQRNT (government of Quebec)

As Programme Leader for the MSc in Mathematics, Dr. Huard supervises student projects focusing on geometric methods in differential equations and mathematical modeling of biological processes. His research has been funded through various academic channels, supporting his work on nonlinear dynamics, glucose-insulin regulation modeling, and hydrodynamics applications. He has supervised 4 students according to institutional records, guiding them through research in mathematical biology and dynamical systems.

Dr. Huard is an active member of research groups focusing on nonlinear dynamics and mathematical biology. His current work involves characterizing periodic cycles in glucose-insulin regulation and describing pathways to restoring healthy rhythms. He collaborates with researchers across disciplines to apply mathematical techniques to biological problems, with a particular focus on diabetes research and prevention.