## Ordinary and Partial Differential Equations: Proceedings of the 13th Dundee Conference 1996, Volume 5These conference proceedings include papers by a number of experts with a common interest in differential equations and their application in physical and biological systems. Topics covered include direct and inverse electromagnetic scattering techniques, spatial epidemic models, wound healing, chemotaxis and reaction-diffusion equations, dynamics and stability of thin liquid films, and a contemporary formulation of symmetric linear differential equations. |

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### Contents

KP Hadeler | 18 |

RE Kleinman and PM Van Den Berg | 33 |

PK Maini | 51 |

MJ Miksis and MP | 75 |

RC Churchill DL Rod and B D Sleeman | 108 |

BD Sleeman and H A Levine | 130 |

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aggregation algorithm analysis applications approximation assume becomes boundary boundary conditions CAMP cell changes collagen complex computational connection consider constant contrast defined denote density depends described determined Dictyostelium dielectric diffusion dimensions direction discrete domain dynamics effects elements equivalent error example existence fact factor field Figure finite formation frequency front functions given gradient Hence holomorphic infected initial integral interface introduced inverse involves iterations limit linear differential equation mapping Mathematical matrix method nonlinear numerical object observed obtain operator parameters pattern phase physical positive presented problem propagation reconstructed region respectively satisfy scaling scattering scheme shown solution solving space spatial speed sponge layer stability stationary surface surface tension term theory thin travelling University University of Dundee update values variables wave wavelength wound zero