The Evolution of the Use of Mathematics in Cancer Research

Pedro Juan Gutiérrez, geb. 1950 in Cuba, beginnt mit 11 Jahren als Eis- und Zigarettenverkäufer, ist später fünf Jahre Soldat, arbeitet als Schwimm- und Kajaklehrer, als Zuckerrohrschneider und Landarbeiter, als Bauinstallateur und technischer Zeichner. Gutiérrez ist Maler, Bildhauer, Dichter und Journalist. Der Autor mehrerer Romane lebt in Havanna.

This book is designed for advanced students and researchers pursuing the use of biostatistics and biomathematics in their investigations in biology and medicine in general, and in cancer in particular. Each chapter has been conceived as a part in the whole in such a way that information flows easily, explaining in a concise and clear way a particular subject, and connecting its results with those in the previous and following chapters. State-of-the-art biostatistics and biomathematics methods and techniques are explained in detail through illustrative and capital examples taken from cancer research work already published, and the result is a self-contained book on medicine, statistics and mathematics which illustrates the potential of biostatistics and biomathematics in biomedical research. Focusing on the achievements that biostatistics and biomathematics have already obtained, researchers can perceive the high returns that the use of statistics and mathematics yield in biomedical research, and thanks to the detailed discussion of the applied statistical and mathematical techniques, they can deduce the criteria and motif for finding the appropriate use of these formal disciplines.

Provides a clear perspective on how mathematics have been used in cancer research

Preface.- Historical Introduction.- Descriptive biostatistics.- Inferential biostatistics I: Estimating values of biomedical magnitudes.- Inferential biostatistics II: Estimating biomedical behaviors.- Equations: Formulating biomedical laws and biomedical magnitudes.- Systems of equations: The explanation of biomedical phenomena(I). Basic questions.- Systems of equations: The explanation of biomedical phenomena(II). Dynamic interdependencies.- Optimal control theory: From knowledge to control (I). Basic concepts.- Optimal control theory: From knowledge to control (II). Biomedical applications.- Game theory.- Index.