Explore the application of dynamical systems to biology in this comprehensive lecture from the Winter School on Quantitative Systems Biology 2015. Delve into the fundamental concepts and methodologies used to analyze biological phenomena through the lens of dynamical systems theory. Learn how mathematical models can be applied to understand complex biological processes, including cellular behavior, gene regulation, and population dynamics. Gain insights into the interdisciplinary approach that combines mathematics, physics, and biology to unravel the intricacies of living systems. Discover the power of quantitative analysis in addressing open problems in modern biology and its potential to drive groundbreaking research in the field.