Basic principles of modeling in the physiological sciences are described, with emphasis on variability as a prerequisite for maintaining a stable system. The level of variability may depend on age, sex, training status, and disease state(s), and also exhibit a diurnal or seasonal pattern. On the other hand, experimental application of perturbation techniques that induce instabilities, may reveal important information about the characteristics of an organ or system, as observed from the details of the concomitant response(s). The Physiome Project offers an integrated approach, including various organ systems of an individual. This worldwide effort of research groups aims to define the physiome via database availability, combined with the development of integrated quantitative and descriptive modeling. The venture is expected to codetermine the future of medicine, change the way we think about human physiology, and strengthen the fabric of international scientific collaboration across nations. A new element concerning regulation is based on the increased awareness of sex‐related differences as observed in anatomy and neurohumoral and immune systems, along with their implications for physiology models.