The mathematical models in this book are concerned with a variety of approaches to the manner in which the clinical radiologic treatment of human neoplasms can be improved.
Author: G.W. Swan
Publisher: Springer Science & Business Media
The mathematical models in this book are concerned with a variety of approaches to the manner in which the clinical radiologic treatment of human neoplasms can be improved. These improvements comprise ways of delivering radiation to the malignan cies so as to create considerable damage to tumor cells while sparing neighboring normal tissues. There is no unique way of dealing with these improvements. Accord ingly, in this book a number of different presentations are given. Each presentation has as its goal some aspect of the improvement, or optimization, of radiotherapy. This book is a collection of current ideas concerned with the optimization of human cancer radiotherapy. It is hoped that readers will build on this collection and develop superior approaches for the understanding of the ways to improve therapy. The author owes a special debt of thanks to Kathy Prindle who breezed through the typing of this book with considerable dexterity. TABLE OF CONTENTS Chapter GENERAL INTRODUCTION 1. 1 Introduction 1 1. 2 History of Cancer and its Treatment by Radiotherapy 8 1. 3 Some Mathematical Models of Tumor Growth 12 1. 4 Spatial Distribution of the Radiation Dose 20 Chapter 2 SURVIVAL CURVES FROM STATISTICAL MODELS 24 2. 1 Introduction 24 2. 2 The Target Model 26 2. 3 Single-hit-to-kill Model 27 2. 4 Multitarget, Single-hit Survival 29 2. 5 Multitarget, Multihit Survival 31 2. 6 Single-target, Multihit Survival 31 2.
Swan, G. W. (1981) Optimization of Human Cancer Radiotherapy, Lecture Notes in Biomathematics 42, Springer-Verlag, Berlin. 78.
Author: A.Y. Yakovlev
Publisher: CRC Press
Biomathematical Problems in Optimization of Cancer Radiotherapy provides insight into the role of cell population heterogeneity in the optimal control of fractionated irradiation of tumors. The book emphasizes the mathematical modeling aspect of the problem and presents the state of the art in the stochastic description of irradiated cell survival. Some of the results are of general theoretical interest and can be applied to other areas of optimal control methodology. Detailed explanations of all mathematical statements are provided throughout the text. The book is excellent for biomathematicians, radiotherapists, oncologists, health physicists, and other researchers and students interested in the topic.
External beam radiotherapy is delivered from outside the body aimed at cancer cells to damage their DNA making them unable to divide and reproduce.
Author: Halil Ozan Gozbasi
External beam radiotherapy is delivered from outside the body aimed at cancer cells to damage their DNA making them unable to divide and reproduce. The beams travel through the body and may damage nearby healthy tissues unless carefullyplanned. Therefore, the goal of treatment plan optimization is to find the best system configuration to deliver sufficient dose to target structures while avoiding damage to healthy tissues. This thesis investigates optimization approaches for two external beam radiation therapy techniques: Intensity-Modulated Radiation Therapy (IMRT) and Volumetric-Modulated Arc Therapy (VMAT). We develop an automated treatment planning technology for IMRT which generates several high-quality treatment plans satisfying the provided requirements in a single invocation and without human guidance. Our approach is based on an existing linear programming-based fluence map optimization model that approximates dose-volume requirements using conditional value-at-risk (C-VaR) constraints. We show how the parameters of the C-VaR constraints can be used to control various metrics of treatment plan quality. A novel bi-criteria scoring based beam selection algorithm is developed which finds the best beam configuration at least ten times faster for real-life brain, prostate, and head and neck cases as compared to an exact mixed integer programming model. Patient anatomy changes due to breathing during the treatment of lung cancer need to be considered in treatment planning. To date, a single phase of the breathing cycle is typically selected for treatment and radiation is shut-off in other phases. We investigate optimization technology that finds optimal fluence maps for each phase of the breathing cycle by considering the overall dose delivered to a patient using image registration algorithms to track target structures and organs at risk. Because the optimization exploits the opportunities provided in each phase, better treatment plans are obtained. The improvements are shown on a real-life lung case. VMAT is a recent radiation treatment technology which has the potential to provide treatments in less time compared to other delivery techniques. This enhances patient comfort and allows for the treatment of more patients. We build a large-scale mixed-integer programming model for VMAT treatment plan optimization. The solution of this model is computationally prohibitive. Therefore, we develop an iterative MIP-based heuristic algorithm which solves the model multiple times on a reduced set of decision variables. We introduce valid inequalities that decrease solution times, and, more importantly, that identify higher quality integer solutions within specified time limits. Computational studies on a spinal tumor and a prostate tumor case produce clinically acceptable results.
57 " Computer Calculation of Dose Distributions in Radiotherapy " . IAEA Vienna .
20 . Dose optimization . D. Ragan . Proc . Symp . on Computerized Treatment
Planning Systems . U.S. Dept. of Health and Human Services PB84-155118 ...
Author: Department of Mathematics and Computer Science Yair CensorPublish On: 1997
Optimization of Human Cancer Radiotherapy. Lecture Notes in Biomathematics, Volume 42. Springer-Verlag, Berlin, Germany. Tam, K.C., and V. Perez-Mendez.
Author: Department of Mathematics and Computer Science Yair Censor
Publisher: Oxford University Press on Demand
This book offers a unique pathway to methods of parallel optimization by introducing parallel computing ideas into both optimization theory and into some numerical algorithms for large-scale optimization problems. The three parts of the book bring together relevant theory, careful study of algorithms, and modeling of significant real world problems such as image reconstruction, radiation therapy treatment planning, financial planning, transportation and multi-commodity network flow problems, planning under uncertainty, and matrix balancing problems.
Author: S. Sitharama IyengarPublish On: 1997-11-20
Swan , G. M. , Optimization of Human Cancer Radiotherapy , Springer - Verlag , Berlin , 1981 . 41. Perez , C. A. and Brady , L. W. , Principles of Radiation ...
Author: S. Sitharama Iyengar
Publisher: CRC Press
This unique text explores the use of innovative modeling techniques in effecting a better understanding of complex diseases such as AIDS and cancer. From a way of representing the computational properties of protein-folding problems to computer simulation of bimodal neurons and networks, Computer Modeling and Simulations of Complex Biological Systems examines several modeling methodologies and integrates them across a variety of disciplines. This interdisciplinary approach suggests new ways to solve complex problems pertaining to biological systems. Written in clear and simple terms appropriate for both the novice and the experienced researcher, the book presents a step-by-step approach to the subject and includes numerous examples that explain the concepts presented in the text.
Author: Vladimir V. KalashnikovPublish On: 2006-11-14
Swan G. W. Optimization of human cancer radiotherapy. Berlin-Heidelberg-New York: Springer-Verlag, 1981. 2. Ivanov V. K. Mathematical modelling and ...
Author: Vladimir V. Kalashnikov
Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.
Nabeya K , Ri S , Miyajima H : Mass - screening using capsulated brushing
cytology for esophageal cancer . In Kassi M ( ed ) : Esophageal ... Clin Radiol 17 :
242 , 1966 . 126 . Swann GW : Optimization of Human Cancer Radiotherapy .
Author: Joseph B. Kirsner
Addresses esophageal motility & benign disorders/gastritis/ history of gastrointestinal hormones/intestinal gas/etc.
Biomathematical Problems in Optimization of Cancer Radiotherapy . Leonid G.
Hanin et al . ... Biomechanical & Human Factors Symposium : Proceedings of the
Biomechanical & Human Factors Conference , 2nd , Washington , D. C. , 1967 .
gw Springer ( 330 ) Optimisation and Control of Dynamic Operational Research
Models / ed by Tzafestas , S.G. - 1982. - xxii / 438p . ... dk Munksgaard ( 615 ) Optimization of Human Cancer Radiotherapy / Swan , G.W. - 1981. - viii / 282p .
 G.W. Swan, Optimization of human cancer radiotherapy, Lecture Notes in Biomathematics, No. 42, Berlin, Springer-Verlag, 1981.
Author: Tamer Başar
Publisher: Springer Science & Business Media
Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.