Summary

International Symposium on Nonlinear Theory and Its Applications

2015

Session Number:B1L-A

Session:

Number:B1L-A-1

Nonlinear Theory and its Application to Personalized Medicine

Kazuyuki Aihara,  

pp.409-410

Publication Date:2015/12/1

Online ISSN:2188-5079

DOI:10.34385/proc.47.B1L-A-1

PDF download (78.7KB)

Summary:
In this plenary talk, I review our recent research on nonlinear theory and its application to personalized medicine based on dynamical systems modeling. First, we use hybrid dynamical systems to mathematically describe intermittent hormone therapy of prostate cancer that is an important model disease for mathematical analysis, and realize personalized medicine for diagnosis, therapy, as well as prognosis of prostate cancer, using mathematical modelling. Second, we extend the concept of the conventional biomarkers to that of dynamical network biomarkers (DNB) which can detect in a personalized way early-warning signals of imminent bifurcation from a healthy state to a disease state. Since the DNB can predict sudden deterioration of each patient's disease in advance, it may open a new way for personalized and preemptive medicine.