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Mathematical oncology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical oncologyby Mark A. J. Chaplain, Luigi Preziosi.
作者:	Chaplain, M. A. J.
其他作者:	Preziosi, Luigi.
出版者:	New York, NY :Springer New York :2025.
面頁冊數:	xxii, 857 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	OncologyMathematics.
電子資源:	https://doi.org/10.1007/978-0-387-68564-9
ISBN:	9780387685649$q(electronic bk.)

Mathematical oncology
Chaplain, M. A. J.

Mathematical oncology[electronic resource] /by Mark A. J. Chaplain, Luigi Preziosi. - New York, NY :Springer New York :2025. - xxii, 857 p. :ill. (chiefly col.), digital ;24 cm. - Interdisciplinary applied mathematics,v. 622196-9973 ;. - Interdisciplinary applied mathematics ;v. 21..

Preface -- Biology/Pathology of Cancer -- Modeling the Immune Response to Cancer -- Simple Models of Tumor Growth -- Modeling Avascular, Multicellular Spheroid Growth -- Pre-pattern Models of Tumor Growth -- Modeling Tumor-induced Angiogenesis -- Modeling Invasion and Metastasis -- Mechanical Models of Growth -- Index.

Cancer is a complex and devastating disease, responsible for millions of deaths worldwide each year. While traditional oncology focuses on diagnosis and treatment through medical, surgical, radiation and clinical techniques, mathematical oncology has emerged as a powerful discipline that applies mathematical modelling to understand cancer growth, spread, and response to treatment. This volume provides a comprehensive exploration of mathematical approaches in oncology, offering a deep dive into differential equation models and biomechanical models. From reaction-diffusion equations that capture tumour growth and spread, to mechanical models that examine cellular interactions within tissues and vessels, this book presents both analytical techniques and computational modelling approaches that enhance our understanding of cancer dynamics. This book serves as both a reference for researchers and a foundation for integrating mathematical oncology into university curricula. By bridging the gap between mathematics, biology, and clinical research, it highlights the crucial role of mathematical modelling in advancing cancer treatment strategies and improving patient outcomes.

ISBN: 9780387685649$q(electronic bk.)

Standard No.: 10.1007/978-0-387-68564-9doiSubjects--Topical Terms:

1008481
Oncology
--Mathematics.

LC Class. No.: RC254.5

Dewey Class. No.: 616.99400151

Mathematical oncology
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520 $a Cancer is a complex and devastating disease, responsible for millions of deaths worldwide each year. While traditional oncology focuses on diagnosis and treatment through medical, surgical, radiation and clinical techniques, mathematical oncology has emerged as a powerful discipline that applies mathematical modelling to understand cancer growth, spread, and response to treatment. This volume provides a comprehensive exploration of mathematical approaches in oncology, offering a deep dive into differential equation models and biomechanical models. From reaction-diffusion equations that capture tumour growth and spread, to mechanical models that examine cellular interactions within tissues and vessels, this book presents both analytical techniques and computational modelling approaches that enhance our understanding of cancer dynamics. This book serves as both a reference for researchers and a foundation for integrating mathematical oncology into university curricula. By bridging the gap between mathematics, biology, and clinical research, it highlights the crucial role of mathematical modelling in advancing cancer treatment strategies and improving patient outcomes.
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