A Mathematical Modeling Framework To Simulate And Analyze Cell Type Transitions

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A mathematical modeling framework to simulate and analyze cell type transitions

Author : Daniella Schittler
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832539352
Total Pages : 189 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis A mathematical modeling framework to simulate and analyze cell type transitions by : Daniella Schittler

Download or read book A mathematical modeling framework to simulate and analyze cell type transitions written by Daniella Schittler and published by Logos Verlag Berlin GmbH. This book was released on 2015-03-20 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantitative understanding of changes in cell types, referred to as cell type transitions, is fundamental to advance fields such as stem cell research, immunology, and cancer therapies. This thesis provides a mathematical modeling framework to simulate and analyze cell type transitions. The novel methodological approaches and models presented here address diverse levels which are essential in this context: Gene regulatory network models represent the cell type-determining gene expression dynamics. Here, a novel construction method for gene regulatory network models is introduced, which allows to transfer results from generic low-dimensional to realistic high-dimensional gene regulatory network models. For populations of cells, a generalized model class is proposed that accounts for multiple cell types, division numbers, and the full label distribution. Analysis and solution methods are presented for this new model class, which cover common cell population experiments and allow to exploit the full information from data. The modeling and analysis methods presented here connect formerly isolated approaches, and thereby contribute to a holistic framework for the quantitative understanding of cell type transitions.

Mathematical Models and Immune Cell Biology

Author : Carmen Molina-París
Publisher : Springer Science & Business Media
ISBN 13 : 1441977252
Total Pages : 407 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Models and Immune Cell Biology by : Carmen Molina-París

Download or read book Mathematical Models and Immune Cell Biology written by Carmen Molina-París and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world.

Machine Learning and Mathematical Models for Single-Cell Data Analysis

Author : Le Ou-Yang
Publisher : Frontiers Media SA
ISBN 13 : 2832501842
Total Pages : 118 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Machine Learning and Mathematical Models for Single-Cell Data Analysis by : Le Ou-Yang

Download or read book Machine Learning and Mathematical Models for Single-Cell Data Analysis written by Le Ou-Yang and published by Frontiers Media SA. This book was released on 2022-11-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling of Biological Systems, Volume I

Author : Andreas Deutsch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645586
Total Pages : 382 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Biological Systems, Volume I by : Andreas Deutsch

Download or read book Mathematical Modeling of Biological Systems, Volume I written by Andreas Deutsch and published by Springer Science & Business Media. This book was released on 2007-06-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Systems Biology

Author : Jinzhi Lei
Publisher : Springer Nature
ISBN 13 : 3030730336
Total Pages : 308 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Systems Biology by : Jinzhi Lei

Download or read book Systems Biology written by Jinzhi Lei and published by Springer Nature. This book was released on 2021-05-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses concerning the process of morphogen gradient formation. The robustness of steady-state gradients is also covered through boundary value problems. The introduction gives an overview of the relevant biological concepts (cells, DNA, organism development) and provides the requisite mathematical preliminaries on continuous dynamics and stochastic modeling. A basic understanding of calculus is assumed. The techniques described in this book encompass a wide range of mechanisms, from molecular behavior to population dynamics, and the inclusion of recent developments in the literature together with first-hand results make it an ideal reference for both new students and experienced researchers in the field of systems biology and applied mathematics.

Computational Mathematics Modeling in Cancer Analysis

Author : Wenjian Qin
Publisher : Springer Nature
ISBN 13 : 3031450876
Total Pages : 182 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Computational Mathematics Modeling in Cancer Analysis by : Wenjian Qin

Download or read book Computational Mathematics Modeling in Cancer Analysis written by Wenjian Qin and published by Springer Nature. This book was released on 2023-10-07 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume LNCS 14243 constitutes the refereed proceedings of the Second International Workshop, CMMCA 2023, Held in Conjunction with MICCAI 2023, on October 8, 2023, in Vancouver, BC, Canada. The 17 full papers presented were carefully reviewed and selected from 25 submissions. The conference focuses on the discovery of cutting-edge techniques addressing trends and challenges in theoretical, computational, and applied aspects of mathematical cancer data analysis.

Modelling Urban Development with Geographical Information Systems and Cellular Automata

Author : Yan Liu
Publisher : CRC Press
ISBN 13 : 9781420059908
Total Pages : 186 pages
Book Rating : 4.0/5 (599 download)

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Book Synopsis Modelling Urban Development with Geographical Information Systems and Cellular Automata by : Yan Liu

Download or read book Modelling Urban Development with Geographical Information Systems and Cellular Automata written by Yan Liu and published by CRC Press. This book was released on 2008-12-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Urban development and migration from rural to urban areas are impacting prime agricultural land and natural landscapes, particularly in the less developed countries. These phenomena will persist and require serious study by those monitoring global environmental change. To address this need, various models have been devised to analyze urbanization and the physical, socioeconomic, and institutional factors impacting urban development. The most promising and rapidly developing of these paradigms take advantage of new Geographical Information System (GIS) technology. Modelling Urban Development with Geographical Information Systems and Cellular Automata presents one such cutting-edge model that is more than just predictive. It describes how the model simulates the urbanization process, and it provides theoretical context to promote understanding. Starting with a practical overview of the modelling techniques used in urban development research, the author focuses on the cellular automata model and its greatest strength – the incorporation of fuzzy set and fuzzy logic approaches through which urban development can be viewed as a spatially and temporally continuous process. Real-Life Application to Develop Future Planning Methods The text describes a landmark study underway, in which the fuzzy constrained cellular automata model has been implemented in a GIS environment to simulate urban development in Sydney, Australia. Featuring a survey of associated research and a geographical database for the Sydney simulation, this book answers many general "what if" questions for urban planners and details a new approach that they can adapt to their own testing and evaluation needs. This modeling method will provide researchers and planners with the means to not just predict population trends, but to better prepare for their consequences.

Mathematical Modeling of Complex Biological Systems

Author : Abdelghani Bellouquid
Publisher : Springer Science & Business Media
ISBN 13 : 0817645039
Total Pages : 194 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Complex Biological Systems by : Abdelghani Bellouquid

Download or read book Mathematical Modeling of Complex Biological Systems written by Abdelghani Bellouquid and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

Cellular Automaton Modeling of Biological Pattern Formation

Author : Andreas Deutsch
Publisher : Birkhäuser
ISBN 13 : 1489979808
Total Pages : 464 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Cellular Automaton Modeling of Biological Pattern Formation by : Andreas Deutsch

Download or read book Cellular Automaton Modeling of Biological Pattern Formation written by Andreas Deutsch and published by Birkhäuser. This book was released on 2018-03-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Systems Biology

Author : Andreas Kremling
Publisher : CRC Press
ISBN 13 : 1466567902
Total Pages : 379 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Systems Biology by : Andreas Kremling

Download or read book Systems Biology written by Andreas Kremling and published by CRC Press. This book was released on 2013-11-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are sy

Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations

Author : André H. Erhardt
Publisher : Frontiers Media SA
ISBN 13 : 2832514588
Total Pages : 209 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations by : André H. Erhardt

Download or read book Dynamical Systems, PDEs and Networks for Biomedical Applications: Mathematical Modeling, Analysis and Simulations written by André H. Erhardt and published by Frontiers Media SA. This book was released on 2023-02-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models of Cancer and Different Therapies

Author : Regina Padmanabhan
Publisher : Springer Nature
ISBN 13 : 9811586403
Total Pages : 256 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Models of Cancer and Different Therapies by : Regina Padmanabhan

Download or read book Mathematical Models of Cancer and Different Therapies written by Regina Padmanabhan and published by Springer Nature. This book was released on 2020-10-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified framework for various currently available mathematical models that are used to analyze progression and regression in cancer development, and to predict its dynamics with respect to therapeutic interventions. Accurate and reliable model representations of cancer dynamics are milestones in the field of cancer research. Mathematical modeling approaches are becoming increasingly common in cancer research, as these quantitative approaches can help to validate hypotheses concerning cancer dynamics and thus elucidate the complexly interlaced mechanisms involved. Even though the related conceptual and technical information is growing at an exponential rate, the application of said information and realization of useful healthcare devices are lagging behind. In order to remedy this discrepancy, more interdisciplinary research works and course curricula need to be introduced in academic, industrial, and clinical organizations alike. To that end, this book reformulates most of the existing mathematical models as special cases of a general model, allowing readers to easily get an overall idea of cancer dynamics and its modeling. Moreover, the book will help bridge the gap between biologists and engineers, as it brings together cancer dynamics, the main steps involved in mathematical modeling, and control strategies developed for cancer management. This also allows readers in both medical and engineering fields to compare and contrast all the therapy-based models developed to date using a single source, and to identify unexplored research directions.

European Success Stories in Industrial Mathematics

Author : Thibaut Lery
Publisher : Springer Science & Business Media
ISBN 13 : 3642238483
Total Pages : 142 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis European Success Stories in Industrial Mathematics by : Thibaut Lery

Download or read book European Success Stories in Industrial Mathematics written by Thibaut Lery and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics. It shows the crucial contribution of mathematics to innovation and to the industrial creation of value, and the key position of mathematics in the handling of complex systems, amplifying innovation. Each story describes the challenge that led to the industrial cooperation, how the challenge was approached and how the solutions were achieved and implemented. When brought together, they illustrate the versatile European landscape of projects in almost all areas of applied mathematics and across all business sectors. This book of success stories has its origin in the Forward Look about Mathematics and Industry that was funded by the European Science Foundation (ESF) and coordinated by the Applied Mathematics Committee of the European Mathematical Society (EMS). In each of these success stories, researchers, students, entrepreneurs, policy makers and business leaders in a range of disciplines will find valuable material and important lessons that can be applied in their own fields.

Systems Modeling: Approaches and Applications - Volume II

Author : Alberto Jesus Martin
Publisher : Frontiers Media SA
ISBN 13 : 2832507123
Total Pages : 333 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Systems Modeling: Approaches and Applications - Volume II by : Alberto Jesus Martin

Download or read book Systems Modeling: Approaches and Applications - Volume II written by Alberto Jesus Martin and published by Frontiers Media SA. This book was released on 2022-11-25 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level

Author : Hans Dierckx
Publisher : Frontiers Media SA
ISBN 13 : 2889630676
Total Pages : 276 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level by : Hans Dierckx

Download or read book Simulating Normal and Arrhythmic Dynamics: From Sub-Cellular to Tissue and Organ Level written by Hans Dierckx and published by Frontiers Media SA. This book was released on 2019-10-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cellular Automaton Modeling of Biological Pattern Formation

Author : Andreas Deutsch
Publisher : Springer Science & Business Media
ISBN 13 : 0817644156
Total Pages : 331 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Cellular Automaton Modeling of Biological Pattern Formation by : Andreas Deutsch

Download or read book Cellular Automaton Modeling of Biological Pattern Formation written by Andreas Deutsch and published by Springer Science & Business Media. This book was released on 2007-12-26 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.

Mathematics for Healthcare

Author : Krasimira Tsaneva-Atanasova
Publisher : Frontiers Media SA
ISBN 13 : 2889455777
Total Pages : 284 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Mathematics for Healthcare by : Krasimira Tsaneva-Atanasova

Download or read book Mathematics for Healthcare written by Krasimira Tsaneva-Atanasova and published by Frontiers Media SA. This book was released on 2018-09-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1996, and with extraordinary prescience, Panfilov and Holden had highlighted in their seminal book 'Computational Biology of the Heart' that biology was, potentially, the most mathematical of all sciences. Fast-forward 20 years and we have seen an explotion of applications of mathematics in not only biology, but healthcare that has already produced significant breakthroughs not imaginable more than 20 years ago. Great strides have been made in explaining through quantitative methods the underlying mechanisms of human disease, not without considerable ingenuity and effort. Biological mechanisms are bewildering: complex, ever evolving, multi-scale, variable, difficult to fully access and understand. This poses immense challenges to the computational physiology community that, nevertheless, has developed an impressive arsenal of tools and methods in a vertiginous race to combat disease with the tall order of improving human healthcare. Mechanistic models are now contending with the advent of machine learning in healthcare and the hope is that both approaches will be used synergistically since the complexity of human patophysiology and the difficulty of acquiring human datasets will require both, deductive and inductive methods. This Research Topic presents work that is currently at the frontier in computational physiology with a striking range of applications, from diabetes to graft failure and using a multitude of mathematical tools. This collection of articles represents a snapshot in a field that is moving a dizzying speed, bringing understanding of fundamental mechanism and solutions to healthcare problems experienced by healthcare systems all over the world.