for this workshop
Mathematical modeling and simulation of tumor angiogenesis
American Institute of Mathematics, San Jose, California
Trachette Jackson, John Lowengrub, and Xiaoming Zheng
This workshop, sponsored by AIM and the NSF, will focus on the significant new mathematical and computational advances in tumor angiogenesis aligned with the novel and promising therapeutic directions.
Mathematical modeling and simulation play an increasing prominent role in cancer research, serving as a tool for theoretical analysis and prediction of clinical trials. Simply put, cancer is uncontrolled tumor growth plus angiogenesis, the growth of new blood vessels. Angiogenesis is critical for tumor growth as it mediates nutrient delivery to tumor cells and facilitates invasion and metastasis. Anti-angiogenesis therapy has gradually become a standard of care since the first drug capable of inhibiting new blood vessel formation was approved in 2004. To date, the anti-angiogenesis strategy has evolved from starving the tumor by cutting off blood vessels to vascular normalization aiming to improve drug perfusion.
Recently, disrupting multiple signaling pathways, alone and in combination with immunotherapy and novel stem cell-targeted therapies, is the focus of new and emerging anti-angiogenic therapies. Surprisingly, there has been a paucity of new mathematical modeling along these lines. Furthermore, tumor angiogenesis and its interactions with tumor cells and micro-environment are multi-scale, multi-agent, multi-events, multi-phase, and multi-disciplinary. Although researchers have developed various mathematical models and simulation software, ranging from discrete, agent-based, continuum, to hybrid types, all these are in an adolescent stage comparing to the complexity of cancer therapy. This workshop will investigate the significant new advances in tumor angiogenesis and therapeutic directions.
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than June 16, 2020. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
For more information email firstname.lastname@example.org