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Suhrit Dey - Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer

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Suhrit Dey Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer
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Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer: summary, description and annotation

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This books aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer. The book discusses application of Markov chains and transient mappings, CharlieSimpson numerical algorithm, models represented by nonlinear reactiondiffusion-type partial differential equations, and related techniques. The book also attempts to design mathematical model of targeted strategic treatments by using Skilled Killer Drugs (SKD1 and SKD2) to suggest the improvisation of future cancer treatments. Both graduate students and researchers of computational biology and oncologists will benefit by studying this book. Researchers of cancer studies and biological sciences will also find this work helpful.

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Book cover of Mathematical and Computational Studies on Progress Prognosis - photo 1
Book cover of Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer
Forum for Interdisciplinary Mathematics
Editors-in-Chief
Viswanath Ramakrishna
University of Texas, Richardson, USA
Zhonghai Ding
University of Nevada, Las Vegas, USA
Editorial Board
Ravindra B. Bapat
Indian Statistical Institute, New Delhi, India
Balasubramaniam Jayaram
Indian Institute of Technology, Hyderabad, India
Ashis Sengupta
Indian Statistical Institute, Kolkata, India
P.V. Subrahmanyam
Indian Institute of Technology Madras, Chennai, India

The Forum for Interdisciplinary Mathematics is a Scopus-indexed book series. It publishes high-quality textbooks, monographs, contributed volumes and lecture notes in mathematics and interdisciplinary areas where mathematics plays a fundamental role, such as statistics, operations research, computer science, financial mathematics, industrial mathematics, and bio-mathematics. It reflects the increasing demand of researchers working at the interface between mathematics and other scientific disciplines.

More information about this series at https://link.springer.com/bookseries/13386

Suhrit Dey and Charlie Dey
Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer
Logo of the publisher Suhrit Dey Department of Mathematics and Computer - photo 2
Logo of the publisher
Suhrit Dey
Department of Mathematics and Computer Science, Eastern Illinois University, Charleston, IL, USA
Charlie Dey
Texas Advanced Computing Center, The University of Texas at Austin, Texas, TX, USA
ISSN 2364-6748 e-ISSN 2364-6756
Forum for Interdisciplinary Mathematics
ISBN 978-981-16-6076-4 e-ISBN 978-981-16-6077-1
https://doi.org/10.1007/978-981-16-6077-1
Springer Nature Singapore Pte Ltd. 2021
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd.

The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore

Foreword

I was honored to receive the invitation to write this foreword to Prof. S. K. Deys monograph on Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer. I have the unique privilege of knowing Prof. Dey for over 50 years: first as an undergraduate student at Eastern Illinois University, completing my first differential equations course under his instruction. He was my mentor and advisor through my B.S. and M.A. studies. I was his student when his son and coauthor S. Charlie Dey was born. I have worked with Prof. Dey at Argonne National Laboratory and NASA Ames Research Center. Professor Dey is the finest applied mathematician I have had the privilege to learn from and work with.

One enjoyable encounter was in 1978 at Argonne National Laboratory. I was working with Dr. Marvin Breig, a visiting physics professor also from Eastern Illinois University. Professor Dey walked in very excitingly and asked Prof. Breig what is a plasma? We asked why do you want to know? Professor Dey said, Because I have just told the Physics Division that I can solve a system of equations that model a plasma problem that they have been stuck on for many months. Please tell me what plasma is? He soon provided the Physics Division with a solution to their problem.

His career has documented the successful application of mathematics toward solutions of some of the most challenging physics, engineering, and medical challenges of the past few decades. His work in bioscience and cancer was set into motion with his publication on the mathematical modeling of chemical kinetics at the University of California, Berkeley, in 1982. Over the past four decades, he has been invited to lecture on mathematical models to fight the war on breast cancer at numerous universities, research institutions, and hospitals internationally. Oncologists and medical researchers have consulted with Prof. Dey on how to improve his models, and in particular, he has received enthusiastic comments and suggestions from the oncologists Dr. Charles Wiseman of St. Vincent Hospital in Los Angeles, California, and Dr. Characiejus of Vilnius Hospital in Vilnius, Lithuania.

I have heard experts in cell biology saying Prof. Dey has the science correct in his journal publication, but I cant understand all the mathematics, and experts in mathematics have said the mathematics is correct but I dont understand all of the biology. This monograph hopefully will help readers bridge their knowledge across both disciplines.

Johnny P. Ziebarth
Moffett Field, California
April 2020
Preface
The first author started conducting studies on cancer when as a recipient of awards from the National Academy of Science of the U.S.A he joined NASA Ames Research Center, Moffett Field, California, in 1980, and numerically solved a mathematical model on chemical kinetics on irradiation of water, developed by Dr. Magee and Dr. Chatterjee, at the Biomedical Division of University of California, Berkeley, in 1982. The second author at the age of ten started working on his dads computer codes. The gist of what they observed is:

Cancer strikes the body at a subquantum biological state. One or more genes are altered due to a number of reasons causing the cell to mutate and grow beyond control violating all principles of homeostasis. It takes several mutations before a cell becomes a cancerous cell. To protect itself from the clutches of the immune system, it can hide inside an adipose tissue, or under the skin for years. It never dies so long it can get glucose and oxygen.

Later for almost two years (1988 and 1989), the first author worked round the clock almost like an intern with oncologists in several hospitals in St. Louis, Missouri; Champaign, Illinois; and Charleston, Illinois, and observed the mode of cancer treatments for several patients conducted by several oncologists in as much details as possible. Two of these doctors are Dr. Charles Roper (Thoracic Surgeon, Barnes Hospital, St. Louis) and Dr. Latinville (Neurosurgeon, DePaul Hospital, St. Louis). He asked all doctors several questions about their modes of treatment. In general, he noticed that the procedures of treatments are: cut (surgery), burn (radiation), and poison (chemotherapy). He saw mostly tragedies and hardly any triumph and wondered as a mathematician what can be done to better such treatments.

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