Author: Moisés Santillán
Publisher: Springer
ISBN: 3319066897
Category : Mathematics
Languages : en
Pages : 139
Book Description
This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.
Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics
Author: Moisés Santillán
Publisher: Springer
ISBN: 3319066897
Category : Mathematics
Languages : en
Pages : 139
Book Description
This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.
Publisher: Springer
ISBN: 3319066897
Category : Mathematics
Languages : en
Pages : 139
Book Description
This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.
Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics
Author: Moises Santillan
Publisher:
ISBN: 9783319066905
Category :
Languages : en
Pages : 142
Book Description
Publisher:
ISBN: 9783319066905
Category :
Languages : en
Pages : 142
Book Description
Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
Author: Aslak Tveito
Publisher: Springer
ISBN: 331930030X
Category : Computers
Languages : en
Pages : 279
Book Description
Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model.
Publisher: Springer
ISBN: 331930030X
Category : Computers
Languages : en
Pages : 279
Book Description
Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model.
Simple Mathematical Models of Gene Regulatory Dynamics
Author: Michael C. Mackey
Publisher: Springer
ISBN: 3319453181
Category : Medical
Languages : en
Pages : 128
Book Description
This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise—either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.
Publisher: Springer
ISBN: 3319453181
Category : Medical
Languages : en
Pages : 128
Book Description
This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise—either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.
Spatial Inhomogeneities and Transient Behaviour in Chemical Kinetics
Author: Peter Gray
Publisher: Manchester University Press
ISBN: 9780719024511
Category : Science
Languages : en
Pages : 802
Book Description
The results of an International Conference on [title] held in Brussels, Belgium, Aug./Sept. 1987, these papers deal with self-organization and nonlinear dynamics in chemistry, giving the results of recent experiments and bringing new emphasis on spatial inhomogeneities and dynamical phenomena in con"
Publisher: Manchester University Press
ISBN: 9780719024511
Category : Science
Languages : en
Pages : 802
Book Description
The results of an International Conference on [title] held in Brussels, Belgium, Aug./Sept. 1987, these papers deal with self-organization and nonlinear dynamics in chemistry, giving the results of recent experiments and bringing new emphasis on spatial inhomogeneities and dynamical phenomena in con"
Opportunities for Postdoctoral Research in the Physical and Mathematical Sciences at the National Bureau of Standards, Washington, D.C., Boulder, Colorado
Author: National Research Council (U.S.)
Publisher:
ISBN:
Category : Research grants
Languages : en
Pages : 68
Book Description
Publisher:
ISBN:
Category : Research grants
Languages : en
Pages : 68
Book Description
Opportunities for Postdoctoral Research in the Physical and Mathematical Sciences at the National Bureau of Standards, 1964-1965
Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Opportunities for Postdoctoral Research in the Physical and Mathematical Sciences at the National Bureau of Standards, 1963-1964
Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 52
Book Description
Stochastic Processes in Chemical Physics, Volume 15
Author: K. E. Shuler
Publisher: John Wiley & Sons
ISBN: 0470144009
Category : Science
Languages : en
Pages : 409
Book Description
The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Publisher: John Wiley & Sons
ISBN: 0470144009
Category : Science
Languages : en
Pages : 409
Book Description
The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.
Developments in Electrochemistry
Author: Derek Pletcher
Publisher: John Wiley & Sons
ISBN: 1118694341
Category : Science
Languages : en
Pages : 392
Book Description
Martin Fleischmann was truly one of the ‘fathers’ of modern electrochemistry having made major contributions to diverse topics within electrochemical science and technology. These include the theory and practice of voltammetry and in situ spectroscopic techniques, instrumentation, electrochemical phase formation, corrosion, electrochemical engineering, electrosynthesis and cold fusion. While intended to honour the memory of Martin Fleischmann, Developments in Electrochemistry is neither a biography nor a history of his contributions. Rather, the book is a series of critical reviews of topics in electrochemical science associated with Martin Fleischmann but remaining important today. The authors are all scientists with outstanding international reputations who have made their own contribution to their topic; most have also worked with Martin Fleischmann and benefitted from his guidance. Each of the 19 chapters within this volume begin with an outline of Martin Fleischmann’s contribution to the topic, followed by examples of research, established applications and prospects for future developments. The book is of interest to both students and experienced workers in universities and industry who are active in developing electrochemical science.
Publisher: John Wiley & Sons
ISBN: 1118694341
Category : Science
Languages : en
Pages : 392
Book Description
Martin Fleischmann was truly one of the ‘fathers’ of modern electrochemistry having made major contributions to diverse topics within electrochemical science and technology. These include the theory and practice of voltammetry and in situ spectroscopic techniques, instrumentation, electrochemical phase formation, corrosion, electrochemical engineering, electrosynthesis and cold fusion. While intended to honour the memory of Martin Fleischmann, Developments in Electrochemistry is neither a biography nor a history of his contributions. Rather, the book is a series of critical reviews of topics in electrochemical science associated with Martin Fleischmann but remaining important today. The authors are all scientists with outstanding international reputations who have made their own contribution to their topic; most have also worked with Martin Fleischmann and benefitted from his guidance. Each of the 19 chapters within this volume begin with an outline of Martin Fleischmann’s contribution to the topic, followed by examples of research, established applications and prospects for future developments. The book is of interest to both students and experienced workers in universities and industry who are active in developing electrochemical science.