Cancer Systems Biology

Translational Mathematical Oncology

Ravi Salgia, Mohit Kumar Jolly, Prakash Kulkarni, Govindan Rangarajan

2026 Textbook: biology · mathematics ·

Cancer Systems Biology provides state-of-the-art reviews and thought-provoking ideas in a concise and succinct manner. This insightful textbook is a crosspollination of concepts from multiple disci...

Mathematical Oncology

Mark A. J. Chaplain , Luigi Preziosi

2025 Textbook: oncology · mathematics ·

Presents an overview of mathematical models developed to examine the stages of cancer growth and development. Reviews ordinary and partial differential equation models, discrete models, and continu...

Applied Antifragility in Natural Systems

From Principles to Applications

Cristian Axenie , Roman Bauer , Oliver López Corona , Jeffrey West

2025 Monograph: biology · mathematics ·

As coined in the book of Nassim Taleb, antifragility is a property of a system to gain from uncertainty, randomness, and volatility, opposite to what fragility would incur. An antifragile system’s ...

Quantitative Biosciences

Dynamics across Cells, Organisms, and Populations

Joshua S. Weitz

2024 Textbook: biology · mathematics ·

Quantitative Biosciences establishes the quantitative principles of how living systems work across scales, drawing on classic and modern discoveries to present a case study approach that links mech...

Evolutionary Dynamics of Malignancy

The Genetic and Environmental Causes of Cancer

Robert C. Jackson

2023 Book: oncology · mathematics ·

Advances in cancer genomics are transforming our understanding of cancer, and have profound implications for its prevention, diagnosis, and treatment. Evolutionary dynamics suggests that as few as ...

Molecular Biology of the Cell

Bruce Alberts, Alexander Johnson, Julian Lewis, Martin Raff, Keith Roberts, and Peter Walter

2022 Textbook: biology ·

For more than four decades, Molecular Biology of the Cell has distilled the vast amount of scientific knowledge to illuminate basic principles, enduring concepts, and cutting-edge research. The Sev...

Computational Methods for Precision Oncology

Alessandro Laganà

2022 Book: oncology · mathematics ·

Precision medicine holds great promise for the treatment of cancer and represents a unique opportunity for accelerated development and application of novel and repurposed therapeutic approaches. Cu...

Mathematical Models of Cancer and Different Therapies

Unified Framework

Regina Padmanabhan , Nader Meskin , Ala-Eddin Al Moustafa

2021 Book: oncology · mathematics ·

This book provides a unified framework for various currently available mathematical models that are used to analyze progression and regression in cancer development, and to predict its dynamics wit...

Parameter Redundancy and Identifiability

Diana Cole

2020 Book: mathematics ·

Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter i...

Adaptive Oncogenesis

A New Understanding of How Cancer Evolves inside Us

James DeGregori

2018 Popular Science: biology · oncology ·

Popular understanding holds that genetic changes create cancer. James DeGregori uses evolutionary principles to propose a new way of thinking about cancer’s occurrence. Cancer is as much a disease ...

An Introduction to Physical Oncology

How Mechanistic Mathematical Modeling Can improve Cancer Therapy Outcomes

Vittorio Cristini, Eugene Koay, and Zhihui Wang

2017 Book: oncology · mathematics ·

Physical oncology has the potential to revolutionize cancer research and treatment. The fundamental rationale behind this approach is that physical processes, such as transport mechanisms for drug ...

Scientific Models

Red Atoms, White Lies and Black Boxes in a Yellow Book

Philip Gerlee , Torbjörn Lundh

2016 Monograph: biology · mathematics ·

The book is aimed primarily at students in the sciences and engineering, as well as students at teacher training colleges but will also appeal to interested readers wanting to get an overview of sc...

Introduction to Mathematical Oncology

Part of: Chapman & Hall/CRC Mathematical Biology Series

Yang Kuang, John D. Nagy, Steffen E. Eikenberry

2016 Textbook: oncology · mathematics ·

Introduction to Mathematical Oncology presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatmen...

Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems

Wai-Yuan Tan

2015 Book: oncology · biology · mathematics ·

This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations an...

Optimal Control for Mathematical Models of Cancer Therapies

An Application of Geometric Models

Heinz Schättler, and Urszula Ledzewicz

2015 Book: oncology · mathematics ·

This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel can...

Dynamics of Cancer

Mathematical Foundations of Oncology

Dominik Wodarz and Natalia Komarova

2014 Textbook: oncology · mathematics ·

Textbook for advanced students and researchers that uses mathematical models (from simple ODEs to complex spatial/stochastic models) to explain tumor growth, evolution, and treatment, bridging math...

Systems Biology of Tumor Dormancy

Heiko Enderling, Nava Almog, Lynn Hlatky

2013 Book: biology · mathematics ·

This volume is based on the Workshop on Systems Biology of Tumor Dormancy meeting, held July 25th to July 28th, 2011. The first annual CCSB workshop brought together biologists, clinicians, mathema...

A Primer on Mathematical Models in Biology

Lee A. Segel, Leah Edelstein-Keshet

2013 Textbook: biology · mathematics ·

This textbook grew out of a course that the highly respected applied mathematician Lee Segel taught at the Weizmann Institute. This book represents the unique perspective on mathematical biology of...

Modeling Tumor Vasculature

Molecular, Cellular, and Tissue Level Aspects and Implications

Trachette L. Jackson

2012 Book: oncology · biology · mathematics ·

To profoundly understand biology and harness its intricacies for human benefit and the mitigation of human harm requires cross-disciplinary approaches that incorporate sophisticated computational a...

Multiscale Modeling of Cancer

An Integrated Experimental and Mathematical Modeling Approach

Vittorio Cristini and John Lowengrub

2010 Book: oncology · mathematics ·

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial scales. This bo...

Single-Cell-Based Models in Biology and Medicine

Alexander R. A. Anderson, Mark A. J. Chaplain, Katarzyna A. Rejniak

2007 Book: biology · mathematics ·

Many different single-cell-based models have been developed and applied to biological and medical problems. Computational approaches used are Monte-Carlo simulations, energy minimisation techniques...

Optimal Control Applied to Biological Models

Suzanne Lenhart, John T. Workman

2007 Book: biology · mathematics ·

From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy d...

Drug Resistance in Cancer

Mechanisms and Models

James H. Goldie, Andrew J. Coldman

1998 Book: oncology · biology · mathematics ·

Drug resistance in cancer, whereby a portion of cancer cells evades chemotherapy, poses a profound and continuing challenge for the effective treatment of cancer. The principles underlying the biol...

Mathematical Biology

James D. Murray

1993 Textbook: biology · mathematics ·

Mathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of ...

Stochastic Models for Carcinogenesis

Wai-Yuan Tan

1991 Book: oncology · mathematics ·

An up-to-date survey of mathematical models of carcinogenesis, providing the most recent findings of cancer biology as evidence of the models, as well as extensive bibliographies of cancer biology ...

Mathematical Models in Biology

Leah Edelstein-Keshet

1988 Book: biology · mathematics

Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it...