## Evolution and the Levels of Selection

*Samir Okasha*

- Published in print:
- 2006
- Published Online:
- January 2007
- ISBN:
- 9780199267972
- eISBN:
- 9780191708275
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199267972.001.0001
- Subject:
- Philosophy, Philosophy of Science

Does natural selection act primarily on individual organisms, on groups, on genes, or on whole species? This book provides a comprehensive analysis of the long-standing controversy in evolutionary ... More

## System Control and Rough Paths

*Terry Lyons and Zhongmin Qian*

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198506485
- eISBN:
- 9780191709395
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506485.001.0001
- Subject:
- Mathematics, Probability / Statistics

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the controlled ... More

## Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

*Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198566656
- eISBN:
- 9780191718014
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566656.001.0001
- Subject:
- Mathematics, Mathematical Physics

This text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on the magnetohydrodynamics of liquid metals, on two-fluid flows, and ... More

## The Porous Medium Equation: Mathematical Theory

*Juan Luis Vazquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.001.0001
- Subject:
- Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More

## Spectral/hp Element Methods for Computational Fluid Dynamics

*George Karniadakis and Spencer Sherwin*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198528692
- eISBN:
- 9780191713491
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528692.001.0001
- Subject:
- Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More

## Flow-Through Respirometry: The Equations

*John R. B. Lighton*

### in Measuring Metabolic Rates: A Manual for Scientists

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780195310610
- eISBN:
- 9780199871414
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195310610.003.0009
- Subject:
- Biology, Animal Biology, Biotechnology

This chapter de-mystifies respirometry equations, showing how they can be derived using a simple mental trick: concentrating the analysis on the principal gas that is neither consumed nor produced by ... More

## Numerical Methods for Structured Markov Chains

*Dario A. Bini, Guy Latouche, and Beatrice Meini*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198527688
- eISBN:
- 9780191713286
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527688.001.0001
- Subject:
- Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More

## The Universality of the Radon Transform

*Leon Ehrenpreis*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198509783
- eISBN:
- 9780191709166
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509783.001.0001
- Subject:
- Mathematics, Mathematical Physics

Radon showed how to write arbitrary functions in Rn in terms of the characteristic functions (delta functions) of hyperplanes. This idea leads to various generalizations. For example, R can be ... More

## The Greate Invention of Algebra: Thomas Harriot's Treatise on equations

*Jacqueline A. Stedall*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198526025
- eISBN:
- 9780191712364
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526025.001.0001
- Subject:
- Mathematics, History of Mathematics

This book casts new light on the work of Thomas Harriot (c.1560-1621), an innovative thinker and practitioner in several branches of the mathematical sciences, including navigation, astronomy, ... More

## NON-PARAMETRIC IMAGE REGISTRATION

*Jan Modersitzki*

### in Numerical Methods for Image Registration

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198528418
- eISBN:
- 9780191713583
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528418.003.0008
- Subject:
- Mathematics, Applied Mathematics

This chapter introduces non-parametric registrations. The idea behind this type of registration is to come up with an appropriate measure both for the similarity as well as for the likelihood of a ... More

## Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

*Juan Luis Vázquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More

## Ecological Orbits: How Planets Move and Populations Grow

*Lev Ginzburg and Mark Colyvan*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780195168167
- eISBN:
- 9780199790159
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195168167.001.0001
- Subject:
- Biology, Ecology

The main focus of the book is the presentation of the inertial view of population growth. This view provides a rather simple model for complex population dynamics, and is achieved at the level of the ... More

## Wavelet Methods for Elliptic Partial Differential Equations

*Karsten Urban*

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780198526056
- eISBN:
- 9780191712340
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526056.001.0001
- Subject:
- Mathematics, Applied Mathematics, Mathematical Finance

Wavelets have become a powerful tool in several applications by now. Their use for the numerical solution of operator equations has been investigated more recently. By now the theoretical ... More

## Chaotic Economic Dynamics

*Richard M. Goodwin*

- Published in print:
- 1990
- Published Online:
- November 2003
- ISBN:
- 9780198283355
- eISBN:
- 9780191596315
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198283350.001.0001
- Subject:
- Economics and Finance, Macro- and Monetary Economics

This collection of short essays provides an application of chaotic dynamics to economic systems. Each chapter presents several economic models incorporating differential (or difference) equations ... More

## Soma Model

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0010
- Subject:
- Psychology, Cognitive Neuroscience

The Soma model simulates the origin of the resting potential in nerve cells. Because this model demonstrates steady-state conditions, or slow changes in the steady state, the membrane capacitance is ... More

## Equations Underlying the Electricity Model

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0016
- Subject:
- Psychology, Cognitive Neuroscience

This section provides a detailed description of the differential equations that underlie NeuroDynamix II simulations for the seven models. In addition, the rational behind some of these specific ... More

## Equations Underlying the Soma Model

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0018
- Subject:
- Psychology, Cognitive Neuroscience

The Soma model illustrates the origins of the membrane potential based on the parallel conductance model, with the capacitor not included in the simulation. In addition, none of the membrane ... More

## Form of the Equations

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0023
- Subject:
- Psychology, Cognitive Neuroscience

This section describes the methods for numerical integration of the differential equations that underlie all of the dynamic models embodied in NeuroDynamix II. This chapter presents the general form ... More

## Numerical Solution

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0024
- Subject:
- Psychology, Cognitive Neuroscience

This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.

## Electricity Model

*W. Otto Friesen and Jonathon A. Friesen*

### in NeuroDynamix II: Concepts of Neurophysiology Illustrated by Computer Simulations

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780195371833
- eISBN:
- 9780199865178
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195371833.003.0008
- Subject:
- Psychology, Cognitive Neuroscience

Section II provides an overview of each of the seven models simulated by NeuroDynamix II. Beginning with a brief introduction, each subsection describes one model, includes a glossary of variable and ... More