Tutorials in Mathematical Biosciences IV

1. Front Matter

   Pages I-VII

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2. Inference of Phylogenetic Trees

   • L. S. Kubatko

   Pages 1-38

3. Large-Scale Phylogenetic Analysis of Emerging Infectious Diseases

   • D. Janies, D. Pol

   Pages 39-76

4. Reaction–Diffusion Equations and Ecological Modeling

   • C. Cosner

   Pages 77-115

5. The Dynamics of Migration–Selection Models

   • T. Nagylaki, Y. Lou

   Pages 117-170

6. Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics

   • Y. Lou

   Pages 171-205

7. Back Matter

   Pages 206-209

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Thisisthefourthvolumeintheseries“TutorialsinMathematicalBiosciences. ” These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical B- sciences Institute (MBI), at The Ohio State University. The aim of this series is to introduce graduate students and researchers with just a little ba- ground in either mathematics or biology to mathematical modeling of biol- ical processes. The ?rst volume was devoted to mathematical neuroscience, which was the focus of the MBI program 2002–2003. The second volume dealt with mathematical modeling of calcium dynamics in signal transduction, the focus of the MBI program in the winter of 2004. The third volume dealt with topics of cell cycle, tumor growth, and cancer therapy; these topics featured in several workshops held at the MBI in the fall of 2003. The present volume deals with a variety of topics of evolution and ecology, which were considered in the MBI during the year 2005–2006. These topics include phylogenetics; evolution of genes through migration–selection; ecological modeling; and e- lutionofdispersalandpopulationdynamics. Documentationofthe2005–2006 activities, including streaming videos of the workshops, can be found on the Web site: http://mbi. osu. edu. Phylogenetics is the study of the evolutionary relations of genes and - ganisms. Phylogenetic trees are represented by graphs in which the leaves represent observed biological entities. In constructing such graphs, one tries to trace the evolution of species, traits, or diseases. The ?rst two chapters of this volume deal with phylogenetics.

• Phylogenetic Trees
• Radiologieinformationssystem
• dispersal dynamics
• dynamics
• ecological modeling
• ecology
• evolution
• genes
• genetics
• population
• population dynamics
• population genetics
• populations dynamics
• reaction-diffusion equations

• Mathematical Biosciences Institute, Ohio State University, Columbus, USA

  Avner Friedman

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