Introduction to Mathematical Oncology presents biologically well‎-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs‎.‎ It covers the medical and biological background of the diseases‎,‎ modeling issues‎,‎ and existing methods and their limitations‎.‎ The authors introduce mathematical and programming tools‎,‎ along with analytical and numerical studies of the models‎.‎ They also develop new mathematical tools and look to future improvements on dynamical models‎.‎ After introducing the general theory of medicine and exploring how mathematics can be essential in its understanding‎,‎ the text describes well‎-known‎,‎ practical‎,‎ and insightful mathematical models of avascular tumor growth and mathematically tractable treatment models based on ordinary differential equations‎.‎ It continues the topic of avascular tumor growth in the context of partial differential equation models by incorporating the spatial structure and physiological structure‎,‎ such as cell size‎.‎ The book then focuses on the recent active multi‎-scale modeling efforts on prostate cancer growth and treatment dynamics‎.‎It also examines more mechanistically formulated models‎,‎ including cell quota‎-based population growth models‎,‎ with applications to real tumors and validation using clinical data‎.‎ The remainder of the text presents abundant additional historical‎,‎ biological‎,‎ and medical background materials for advanced and specific treatment modeling efforts‎.‎ Extensively classroom‎-tested in undergraduate and graduate courses‎,‎ this self‎-contained book allows instructors to emphasize specific topics relevant to clinical cancer biology and treatment‎.‎ It can be used in a variety of ways‎,‎ including a single‎-semester undergraduate course‎,‎ a more ambitious graduate course‎,‎ or a full‎-year sequence on mathematical oncology‎.‎

• Author‎:‎ Yang Kuang‎,‎ John D‎.‎ Nagy
• Publisher‎:‎ Chapman & Hall/CRC
• ISBN‎:‎ 9781584889908