Mathematical oncology is an interdisciplinary field that leverages mathematical, computational, and theoretical approaches to address complex problems in cancer biology and treatment. In the last twenty years, mathematical oncology has played ag rowing role in driving basic and clinical cancer research, with widespread contributions from multiscale modeling. However, most cancer modeling still lacks a detailed representation of cell and tissue mechanics, and simulations generally do not integrate computational fluids beyond simple diffusion. Thus, there is considerable opportunity for mathematical oncology to benefit from deeper cross-collaboration with specialists in computational fluids and mechanics. This workshop aims to bring together researchers and students from diverse fields such as mathematics, physics, computational science, and biology to explore the intersection of computational fluid dynamics, mechanics, and biological processes in the context of cancer. Participants will exchange the latest developments in mathematical modeling, simulation techniques, and their applications to understanding tumor growth, metastasis, and treatment strategies. Workshop participants will identify opportunities to build off this exchange to better integrate computational fluids and mechanics into mathematical oncology.

This workshop will also serve as a special occasion to celebrate the 60th birthday of Professor John Lowengrub of the University of California at Irvine (UCI), an international leader and mentor in the field of mathematical oncology. His significant contributions include but are not limited to developing multiscale-multiphasic-multispecies and nonlinear fluid and solid mechanics modeling frameworks to understand the complex tumor systems, and methods in free interface and boundary problems (e.g., boundary integral methods and phase field methods), to simulate solid and vascular tumor growth, and methods in analyzing the nonlinear models. He has served as the Founding Director of Mathematical, Computational and Systems Biology Graduate Program at the University of California, Irvine and he has trained over 130 students and postdoctoral researchers, and now he serves as the Associate Dean of Research in the School of Physical Sciences at UCI.