This book introduces and critically reviews the application of mathematical concepts and formalisms to the deterministic and stochastic foundations of biochemical kinetics. The authors are specifically concerned with the modeling and simulation of these interactions and report on the most recent case studies in biochemistry, pharmacology and biology from the modeling perspective. Chapters describe and apply stochastic simulation algorithms recently developed to implement a stochastic formulation of the biochemical and biological kinetics and present discrete stochastic formalisms created by computer scientists for modeling biological systems and processes.