Tony Humphries

Dr. Tony Humphries is an Associate Professor in the Department of Mathematics and Statistics at McGill University, part of the Faculty of Science. His research focuses on mathematical hematopoiesis, numerical analysis of dynamical systems, and functional and delay differential equations (DDEs), particularly those involving state-dependent delays. He applies these methods to biological systems, with notable work on blood cell dynamics and cancer therapy modeling.

Humphries' research integrates advanced numerical techniques with theoretical analysis, addressing challenges in DDE stability, bifurcations, and computational implementation. His work bridges pure mathematics (e.g., Lyapunov-Razumikhin theory) with applied problems in oncology, immunology, and drug intervention strategies.

Key research areas include:

• Mathematical modeling of hematopoietic stem cell populations
• Analysis of state-dependent delay equations
• Numerical methods for stiff and nonlinear DDE systems
• Applications in chemotherapy-induced neutropenia and viral oncology

His recent publications (2017–2024) explore bistability, chaos in DDE systems, and clinical applications like optimizing G-CSF administration. He collaborates across disciplines, linking mathematical theory with biomedical challenges.