Mathematical modeling, analysis and simulation is the core in applied mathematics. Ordinary and partial differential equations provide essential tools for understanding how populations grow, cells interact, and drugs move through tissue over time. Professor Hong-Ming Yin at Washington State University’s Department of Mathematics and Statistics is an internationally well-known expert in this field. He uses partial differential equations to investigate nonlinear problems in biological sciences, ecosystem, health and medicine sciences. His recent publications explore strategies for controlling invasive species and examine how chemotherapy might suppress tumors while preserving healthy tissue.
In On a Modified Mathematical Model Arising from a Trojan Y Chromosome Strategy, published in Mathematics, Professor Yin examines an approach by artificial change genes strategy to control and eliminate invasive species. In a second article entitled “on a reaction-diffusion system describing cell interactions with a medical drug” published in Communications on Pure and Applied Analysis in 2026, Professor Yin studied a mathematical model for various cells interaction with a chemotherapeutic drug. He along with Professor J. Morgan at University of Houston and Professor B. Tang at University Graz extended this model and published another paper in Communications in Mathematical Science in 2026, Volume 24, Number 6. Their findings provide insights into how cells interact with chemotherapy drugs and provide a theoretical foundation for developing optimal drug delivery strategies for cancer treatment.
More research activities are under consideration by him along with his former students Dr. Guanjun Pan and Dr. Xiaoqin Liu, to study new cancer modeling and treatment. Using partial differential equations and numerical simulations, their research plans to deepen understanding of how cells interact with chemotherapy drugs and inform future studies of treatment strategies.