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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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