In this talk, I introduce mathematical studies for foundation of preventive and preemptive medicine linking Life and Science on the basis of our Moonshot Goal 2 project on Comprehensive Mathematical Understanding of the Complex Control System between Organs and Challenge for Ultra-Early Precision Medicine, supported by the Cabinet Office,Government of Japan and JST. In particular, I explain details of mathematical sensitive detection of signs for deviation from healthy states, the DNB(Dynamical Network Biomarker) theory to detect fluctuations peculiar to pre-disease states before onset of diseases, and treatment of pre-disease states by control theory.