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Saturday, July 25, 2020 | History

4 edition of Mathematical models in cell biology and cancer chemotherapy found in the catalog.

Mathematical models in cell biology and cancer chemotherapy

by Martin Eisen

  • 170 Want to read
  • 2 Currently reading

Published by Springer in Berlin .
Written in English


Edition Notes

StatementMartin Eisen.
SeriesLecture notes in biomathematics -- 30
The Physical Object
Paginationix,431p.
Number of Pages431
ID Numbers
Open LibraryOL15274615M
ISBN 103540097090

Summary. 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 book shows how mathematical and computational models can be used to study cancer biology. It introduces the concept of mathematical modeling and then applies it to a variety of topics in cancer biology. These include aspects of cancer initiation and progression, such as the somatic evolution of cells, genetic instability, and : Dominik Wodarz; Natalia Komarova.

Summary. 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 molecules within tissue and forces exchanged by cancer cells with tissue, may play an equally important role as biological processes in influencing progression and . A nonautonomous mathematical model of chemotherapy cancer treatment with time-dependent infusion concentration of the chemotherapy agent is developed and studied. In particular, a mutual inhibition type model is adopted to describe the interactions between the chemotherapy agent and cells, in which the chemotherapy agent is modeled as the prey being consumed by Author: Ismail Abdulrashid, Xiaoying Han.

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 : $ 2. Models and Background. In this work, we will consider a model that consists of four main cell populations including tumor cells (T(t)), natural killer cells (N(t)), dendritic cells (D(t)), and cytotoxic CD8 + T cells denoted by (L(t)).The dynamics of these cells will include interactions between each other as well as dynamics generated by interaction with chemotherapy as well immunotherapy Cited by: 1.


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Mathematical models in cell biology and cancer chemotherapy by Martin Eisen Download PDF EPUB FB2

The purpose of this book is to show how mathematics can be applied to improve cancer chemotherapy. Unfortunately, most drugs used in treating cancer kill both normal and abnormal cells.

However, more cancer cells than normal cells can be destroyed by the drug because tumor cells usually exhibit different growth kinetics than normal cells. Mathematical Models in Cell Biology and Cancer Chemotherapy.

and linear algebra. In order to make this book self-contained, a chapter on cell biology and a chapter on control theory have been included. Those readers who have had some exposure to biology may prefer to omit Chapter I (Cell Biology) and only use it as a reference when required.

Mathematical models in cell biology and cancer chemotherapy. Berlin ; New York: Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Martin M Eisen. Get this from a library. Mathematical Models in Cell Biology and Cancer Chemotherapy.

[Martin Eisen] -- The purpose of this book is to show how mathematics can be applied to improve cancer chemotherapy. Unfortunately, most drugs used in treating cancer kill both normal and abnormal cells. However, more. Eisen, M.: Mathematical Models in Cell Biology and Cancer Chemotherapy.

Lecture Notes in Biomathematics, vol. Springer‐Verlag, Berlin‐Heidelberg‐New York Cited by: 2. To capitalize on this last fact, cell kinetics must be studied by formulating mathematical models of normal and abnormal cell growth. These models allow the therapeutic and harmful effects of cancer drugs to be simulated quantitatively.

The combined cell and drug models can be used to study the effects of different methods of administering : Paperback. Find many great new & used options and get the best deals for Lecture Notes in Biomathematics: Mathematical Models in Cell Biology and Cancer Chemotherapy 30 by M.

Eisen (, Paperback) at the best online prices at eBay. Free shipping for many products. 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 by: Mathematical models for tumours with cancer stem cells Fig. 7 Plot of u, v, p = u + v at selected time instants, with initial conditions 12 and parameters from 10 and C a s e μ = 0.

Eisen M. () Mathematical Models of Leukopoiesis and Leukemia. In: Mathematical Models in Cell Biology and Cancer Chemotherapy.

Lecture Notes in Biomathematics, vol Author: Martin Eisen. Dynamics of a mathematical model of cancer cells with chemotherapy To cite this article: D Lestari et al J. Phys.: Conf. Ser. View the. Book Description. 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. () Evolutionary Dynamics of Cancer Cell Populations under Immune Selection Pressure and Optimal Control of Chemotherapy. Mathematical Modelling of Natural Phenomena() Optimal Finite Cancer Treatment Duration by Using Mixed Vaccine Therapy and Chemotherapy: State Dependent Riccati Equation by: 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.

Topics included in the book cover oncogenetic trees, stochastic multistage models of carcinogenesis, effects of ionizing radiation on cell cycle and genomic instability, induction of DNA damage by ionizing radiation and its repair, epigenetic cancer models, bystander effects of radiation, multiple pathway models of human colon cancer, and.

Over the last few decades, there have been significant developments in theoretical, experimental, and clinical approaches to understand the dynamics of cancer cells and their interactions with the immune system.

These have led to the development of important methods for cancer therapy including virotherapy, immunotherapy, chemotherapy, targeted drug therapy, and many by: 1. One important application of modeling exercises is in the area of cancer biology [1, 2].

Many mathematical models have been developed to represent some aspects of cancer [3–6]. Those models vary from a simple model trying to simulate the growth of tumor volume to sophisticated models including many biologically important molecular processes Cited by: Models of cancer stem cells (CSCs) offer valuable insights into the driving forces of cancer biology.

Fletcher and colleag60,61 developed a 3D CBM of colonic crypts to explore the role of stem cells (in the bottom of the crypt) in colorectal carcinogenesis. Neighboring cells were connected by linear springs, and stem-cell division and Cited by: Apoptosis is a form of cellular suicide central to various aspects in biology including tissue homeostasis and embryonic development.

Applications in Cancer Research: Mathematical Models of keywords = "Apoptosis, Biochemical networks, Bistability, Cancer, Cell fate decisions, Cell-to-cell variability, Chemotherapy, Mathematical modeling Author: Stefan M. Kallenberger, Stefan Legewie, Roland Eils. Mathematical models in cell biology and cancer chemotherapy.

By Martin Eisen The purpose of this book is to show how mathematics can be applied to improve cancer chemotherapy. Unfortunately, most drugs used in treating cancer kill both normal and abnormal cells. Cited by:. Platinum-based chemotherapy constitutes the backbone of clinical care in advanced solid cancers such as high-grade serous ovarian cancer (HGSOC) and has prolonged survival of millions of patients with cancer.

Most of these patients, however, become resistant to chemotherapy, which generally leads to a fatal refractory disease. We present a Cited by: 5. The book shows how mathematical and computational models can be used to study cancer biology.

It introduces the concept of mathematical modeling and then applies it to a variety of topics in cancer biology. These include aspects of cancer initiation and progression, such as the somatic evolution of cells, genetic instability, and angiogenesis.

Mathematical oncology—the use of mathematics, modeling, and simulation to study cancer—is at once both an old and a new field of research. Its roots date back hundreds of years, to the earliest days of the study of calculus.

The principles of rates of change and differential equations have been used to model and predict the uncontrolled proliferation of Author: Russell C. Rockne, Jacob G. Scott.