This book discusses the application of the concepts of fractals and chaos to biomedical phenomena. In particular, it argues against the outdated notion of homeostasis; using biomedical data sets and modern mathematical concepts, the author attempts to convince the reader that life is at least a homeodynamic process with multiple states -- each being capable of survival. Although relying heavily on the new mathematical ideas, the author has attempted to make the book self-contained. The mathematics is developed in a biological context and mathematical formulation for its own sake is avoided. In this book, the phenomena to be explained motivate the mathematical development rather than the other way round.