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Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer

Tutorials in Mathematical Biosciences III

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"Tutorials in Mathematical Biosciences III" by Avner Friedman is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.

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Best For: Researchers and students interested in mathematical modeling of biological processes related to cancer.
Focus: Mathematical models of cell cycle, tumor growth, angiogenesis, and tissue invasion.
Covers: Modeling of cell division cycle, tumor-induced blood vessel formation, tumor invasion of tissue, and cancer therapy.
Why It Matters: Provides mathematical frameworks to understand key biological mechanisms in cancer development and treatment.

"Tutorials in Mathematical Biosciences III" by Avner Friedman is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Avner Friedman

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.

AuthorAvner Friedman
PublisherSpringer Science & Business Media
Published2005-12-19
ISBN-139783540291626
BindingPaperback
Pages260
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesLecture Notes in Mathematics / Mathematical Biosciences Subs

Format: Paperback

Length: 260 pages

Language: English

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