Mathematical Models in Biomedical Science

The field of biomedical science studies the mechanisms that are at the core of the function and formation of living organisms. It ranges in scope from the study of individual molecules to complex human functions. This contributes to our understanding of how different diseases, traumas and genetic defects alter physiological and behavioral processes. Modern biomedical science works at the cellular, molecular and systems level with the aid of techniques of molecular biology and genome characterization. Such studies have implications on potential medical therapies and clinical studies, and the understanding of disease mechanisms. The integration of mathematics with biomedical sciences has led to many such applications and innovations. Mathematical modeling and analysis, optimization techniques and computational methods, numerical analysis, applied statistics or a combination of these are used for solving problems in this field. Mathematical models and methods also form the basis for the construction of imaging techniques in biomedical science. This has transformed the practice of medicine and furthered the scope of non-invasive diagnosis and surgical planning for guiding surgery, biopsy and radiation therapy. The field of biomedical science and engineering has undergone rapid development over the past few decades. This book elucidates the mathematical concepts and models that have led to advancements in biomedical science. It is an essential guide for both academicians and those who wish to pursue this discipline further.