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Mathematical and computational modelling tools

Baltazar D. Aguda and Avner Friedman

in Models of Cellular Regulation

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198570912
eISBN:
9780191718717
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570912.003.0003
Subject:
Physics, Soft Matter / Biological Physics

This chapter reviews chemical kinetics to illustrate the formulation of model equations for a given reaction mechanism. For spatially uniform systems, these model equations are usually ordinary ... More


Differential equations in physics

Chun Wa Wong

in Introduction to Mathematical Physics: Methods & Concepts

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199641390
eISBN:
9780191747786
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641390.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Ordinary and partial differential equations appear in physics as equations of motion or of state. They are often linear differential equations for which a sum of solutions remains a solution. The ... More


Differential Equations

Bard Ermentrout and John Rinzel

in Computational Modeling Methods for Neuroscientists

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013277
eISBN:
9780262258722
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013277.003.0002
Subject:
Neuroscience, Techniques

This chapter, which addresses the partial differential equations (PDEs) with the example of finding the speed and profile of a propagating impulse for a Hodgkin-Huxley-like cable equation, highlights ... More


Ordinary Differential Equations

Thomas A. Weber

in Optimal Control Theory with Applications in Economics

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter reviews basic concepts in the theory of ordinary differential equation (ODEs). It first discusses how to analyze first-order ODEs. It then extends the framework for the analysis of ... More


Optimal Control Theory with Applications in Economics

Thomas A. Weber

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.001.0001
Subject:
Mathematics, Probability / Statistics

This book bridges optimal control theory and economics, discussing ordinary differential equations (ODEs), optimal control, game theory, and mechanism design in one volume. Technically rigorous and ... More


A Primer on Control Engineering

Brian P. Ingalls and Pablo A. Iglesias

in Control Theory and Systems Biology

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013345
eISBN:
9780262258906
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013345.003.0001
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter addresses the main concepts in this book from dynamical systems and control theory, introducing ordinary differential equation-based modeling, which should allow theoretically inclined ... More


An introduction to modeling the initiation of the floral primordium

Christophe Godin, Eugenio Azpeitia, and Etienne Farcot

in From Molecules to Living Organisms: An Interplay Between Biology and Physics: Lecture Notes of the Les Houches School of Physics: Volume 102, July 2014

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198752950
eISBN:
9780191814426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198752950.003.0009
Subject:
Physics, Soft Matter / Biological Physics

This chapter presents models of processes involved in the initiation and development of a flower. Models of hormonal transport are briefly described, focusing on two key aspects of floral ... More


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