Cellular Automata For The Analysis Of Cancer Invasion
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Cellular Automata For The Analysis Of Cancer Invasion
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Author : Haralampos Hatzikirou
language : en
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
Release Date : 2010-08
Cellular Automata For The Analysis Of Cancer Invasion written by Haralampos Hatzikirou and has been published by Sudwestdeutscher Verlag Fur Hochschulschriften AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08 with categories.
Cancer cells display characteristic traits acquired in a step-wise manner during carcinogenesis. Some of these traits are autonomous growth, induction of angiogen- esis, invasion and metastasis. In this thesis, the focus is on one of the latest stages of tumor progression, tumor invasion. Tumor invasion emerges from the combined effect of tumor cell-cell and cell-microenvironment interactions, which can be studied with the help of mathematical analysis. Cellular automata (CA) can be viewed as simple models of self-organizing complex systems in which collective behavior can emerge out of an ensemble of many interacting "simple" components. In particular, we focus on an important class of CA, the so-called lattice-gas cellular automata (LGCA). Here, the principal tools of mathematical analysis of LGCA are the mean-field approximation and the corresponding Lattice Boltzmann equation. The main objective of this thesis is to investigate important aspects of tumor invasion, under the microscope of mathematical modeling and analysis: -Impact of the tumor environment -Effect of tumor cell proliferation and migration -Mechanisms of tumor invasion emergence -Computing in vivo tumor invasion
Lattice Gas Cellular Automata For The Analysis Of Cancer Invasion
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Author :
language : en
Publisher:
Release Date : 2007
Lattice Gas Cellular Automata For The Analysis Of Cancer Invasion written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Cancer cells display characteristic traits acquired in a step-wise manner during carcinogenesis. Some of these traits are autonomous growth, induction of angiogenesis, invasion and metastasis. In this thesis, the focus is on one of the latest stages of tumor progression, tumor invasion. Tumor invasion emerges from the combined effect of tumor cell-cell and cell-microenvironment interactions, which can be studied with the help of mathematical analysis. Cellular automata (CA) can be viewed as simple models of self-organizing complex systems in which collective behavior can emerge out of an ensemble of many interacting "simple" components. In particular, we focus on an important class of CA, the so-called lattice-gas cellular automata (LGCA). In contrast to traditional CA, LGCA provide a straightforward and intuitive implementation of particle transport and interactions. Additionally, the structure of LGCA facilitates the mathematical analysis of their behavior. Here, the principal tools of mathematical analysis of LGCA are the mean-field approximation and the corresponding Lattice Boltzmann equation. The main objective of this thesis is to investigate important aspects of tumor invasion, under the microscope of mathematical modeling and analysis: Impact of the tumor environment: We introduce a LGCA as a microscopic model of tumor cell migration together with a mathematical description of different tumor environments. We study the impact of the various tumor environments (such as extracellular matrix) on tumor cell migration by estimating the tumor cell dispersion speed for a given environment. Effect of tumor cell proliferation and migration: We study the effect of tumor cell proliferation and migration on the tumor's invasive behavior by developing a simplified LGCA model of tumor growth. In particular, we derive the corresponding macroscopic dynamics and we calculate the tumor's invasion speed in terms of tumor cell proliferation and migration rate.
Lattice Gas Cellular Automata Models For The Analysis Of Cancer Invasion
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Author : Haralambos Hatzikirou
language : en
Publisher:
Release Date : 2009
Lattice Gas Cellular Automata Models For The Analysis Of Cancer Invasion written by Haralambos Hatzikirou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Cellular Automaton Modeling Of Biological Pattern Formation
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Author : Andreas Deutsch
language : en
Publisher: Birkhäuser
Release Date : 2018-03-09
Cellular Automaton Modeling Of Biological Pattern Formation written by Andreas Deutsch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.
This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews
Cell Invasion
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Author : Jyrki Heino
language : en
Publisher: CRC Press
Release Date : 2002-08-01
Cell Invasion written by Jyrki Heino and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-01 with Science categories.
Provides an overview of cell invasion. Topics include information on the cellular matrix, cell surface integrins, matrix metalloproteinases and proteinases, and the interplay between protein families.
Cellular Automata
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Author : Giancarlo Mauri
language : en
Publisher: Springer
Release Date : 2018-09-03
Cellular Automata written by Giancarlo Mauri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Computers categories.
This book constitutes the proceedings of the 13th International Conference on Cellular Automata for Research and Industry, ACRI 2018, held in Como, Italy, in September 2018. The 47 full papers presented in this volume were carefully reviewed and selected from 64 submissions. This volume contains invited contributions and accepted papers from the main track and from the three organized workshops. The volume is organized in the following topics: biological systems modeling; simulation and other applications of CA; multi-agent systems; pedestrian and traffic dynamics; synchronization and control; theory and cryptography; asynchronous cellular automata; and crowds, traffic and cellular automata.
A Survey Of Models For Tumor Immune System Dynamics
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Author : John A. Adam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-06
A Survey Of Models For Tumor Immune System Dynamics written by John A. Adam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-06 with Mathematics categories.
Mathematical Modeling and Immunology An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the above-mentioned problem requires the fullest pos sible cooperation among scientists working in different fields: biology, im munology, medicine, physics and, we believe, mathematics. Certainly, bi ologists and immunologists will make the greatest contribution to the re search. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such prob lems. We cannot expect mathematicians alone to solve fundamental prob lems in immunology and (in particular) cancer research, but valuable sup port, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field.
The Physics Of Cancer
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Author : Caterina A. M. La Porta
language : en
Publisher: Cambridge University Press
Release Date : 2017-04-20
The Physics Of Cancer written by Caterina A. M. La Porta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Science categories.
An introduction to the emerging field of cancer physics, integrating cancer biology with approaches from theoretical and applied physics.
Cellular Automata And Discrete Complex Systems
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Author : Jarkko Kari
language : en
Publisher: Springer
Release Date : 2015-06-03
Cellular Automata And Discrete Complex Systems written by Jarkko Kari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-03 with Computers categories.
This volume constitutes the thoroughly refereed proceedings of the 21st International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2015, held in Turku, Finland, in June 2015. This volume contains 4 invited talks in full-paper length and 15 regular papers, which were carefully reviewed and selected from a total of 33 submissions. Topics of interest include, the following aspects and features of such systems: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing aspects; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.
Cancer Modelling And Simulation
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Author : Luigi Preziosi
language : en
Publisher: CRC Press
Release Date : 2003-06-18
Cancer Modelling And Simulation written by Luigi Preziosi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-18 with Mathematics categories.
Understanding how cancer tumours develop and spread is vital for finding treatments and cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and computer simulation techniques are used to discover and gain insight into the dynamics of tumour development and growth. It highlights the benefits of tumour modelling, such as discovering optimal tumour therapy schedules, identifying the most promising candidates for further clinical investigation, and reducing the number of animal experiments. By examining the analytical, mathematical, and biological aspects of tumour growth and modelling, the book provides a common language and knowledge for professionals in several disciplines.