Lattice Gas Cellular Automata For The Analysis Of Cancer Invasion
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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.
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.
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
Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration
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Author : Josué Manik Nava Sedeño
language : en
Publisher:
Release Date : 2018
Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration written by Josué Manik Nava Sedeño and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Using Cellular Automata And Lattice Boltzmann Methods To Model Cancer Growth
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Author : Jenna Leah Butler
language : en
Publisher:
Release Date : 2015
Using Cellular Automata And Lattice Boltzmann Methods To Model Cancer Growth written by Jenna Leah Butler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
In Canada it is estimated that 76,600 people will die of cancer in 2014. Cancer, a collection of over 200 diseases, has differences existing between globally, between individuals and overtime in one individual. Treatment options are similarly varied. These differences make selecting the best possible treatment for every type of cancer very challenging. In addition, with no single cure for cancer, treatments are often combined in different ways to form the best overall option. In an attempt to synthesize the properties of these diseases into a collection of common cellular changes, Hanahan and Weinberg proposed ``the hallmarks of cancer"--10 differences between healthy cells and cancer cells, present in almost every cancer. There exists the potential for treatments that are broadly applicable if they reverse these general properties. This work seeks to simulate early cancer growth, specifically looking at these hallmarks, and detect the best combinations of hallmarks to remove in order to stop cancer growth. This hybrid simulation combines a discrete model of cancer cells using cellular automata, with a continuous model of blood flow using lattice Boltzmann methods. Hallmarks relevant during the early growth stages of solid tumour development are simulated using rules in the cellular automata. Hallmarks were removed in pairs, triplets and quadruplets in order to model combination therapy, abstracting drugs that target these properties as the removal of the hallmark from the system. Overall growth of the tumours with ``treatments" applied were compared to tumours where all hallmarks were present. It was found that many combinations had no effect on tumour growth. In some cases combinations even increased growth, selecting for the most aggressive hallmarks since weaker hallmarks were unavailable. However, in general, as more treatments were applied, cancer growth decreased. This work is the first to simulate removing hallmarks in pairs, triplets and quadruplets from a model with biologically relevant oxygen flow. It provides a proof of concept that not all combinations are equally effective, even if the individual treatments are effective. This work suggests some combinations should be avoided while others could potentially be beneficial in a variety of diseases.
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.
Simulating Complex Systems By Cellular Automata
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Author : Alfons G. Hoekstra
language : en
Publisher: Springer
Release Date : 2010-06-03
Simulating Complex Systems By Cellular Automata written by Alfons G. Hoekstra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-03 with Computers categories.
Deeply rooted in fundamental research in Mathematics and Computer Science, Cellular Automata (CA) are recognized as an intuitive modeling paradigm for Complex Systems. Already very basic CA, with extremely simple micro dynamics such as the Game of Life, show an almost endless display of complex emergent behavior. Conversely, CA can also be designed to produce a desired emergent behavior, using either theoretical methodologies or evolutionary techniques. Meanwhile, beyond the original realm of applications - Physics, Computer Science, and Mathematics – CA have also become work horses in very different disciplines such as epidemiology, immunology, sociology, and finance. In this context of fast and impressive progress, spurred further by the enormous attraction these topics have on students, this book emerges as a welcome overview of the field for its practitioners, as well as a good starting point for detailed study on the graduate and post-graduate level. The book contains three parts, two major parts on theory and applications, and a smaller part on software. The theory part contains fundamental chapters on how to design and/or apply CA for many different areas. In the applications part a number of representative examples of really using CA in a broad range of disciplines is provided - this part will give the reader a good idea of the real strength of this kind of modeling as well as the incentive to apply CA in their own field of study. Finally, we included a smaller section on software, to highlight the important work that has been done to create high quality problem solving environments that allow to quickly and relatively easily implement a CA model and run simulations, both on the desktop and if needed, on High Performance Computing infrastructures.
Impact Of Cell Migration Plasticity On Tumor Growth And Invasion
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Author : Katrin Talkenberger
language : en
Publisher:
Release Date : 2017
Impact Of Cell Migration Plasticity On Tumor Growth And Invasion written by Katrin Talkenberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Pattern Formation And Lattice Gas Automata
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Author : Raymond Kapral
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Pattern Formation And Lattice Gas Automata written by Raymond Kapral and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Cellular automata categories.
Cellular Automata And Modeling Of Complex Physical Systems
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Author : Paul Manneville
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cellular Automata And Modeling Of Complex Physical Systems written by Paul Manneville 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 2012-12-06 with Science categories.
Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.