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Books > Science & Mathematics > Mathematics > Applied mathematics
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Introduction to Mathematical Oncology (Book)
Loot Price: R2,628
Discovery Miles 26 280
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Introduction to Mathematical Oncology (Book)
Series: Chapman & Hall/CRC Mathematical Biology Series
Expected to ship within 12 - 17 working days
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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.
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