Frontiers in Mathematical Biology

Front Cover
Simon A. Levin
Springer Science & Business Media, Mar 13, 2013 - Mathematics - 633 pages
From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.
 

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Contents

Twenty years ago at the end of a sabbatical spent mainly at the University of Washington I
20
Genomes Maps and Sequences
28
Cell Protrusions
53
Theories of Elementary Behavior
79
Frontiers in Organismal Biology
103
Toward Artificial Competence
117
Puzzles About Excitable Media and Sudden Death
139
Immune Networks and Immune Responses
159
Modelling Social Animal Aggregations
296
Spatial Chaos and its Role in Ecology and Evolution
326
Speculations on the Future of Food Webs
346
On the Equilibrium of Living Beings by Means of Reciprocal Destruction
360
Frontiers in Ecosystem Science
381
A Metaphysiological Approach to Modeling Ecological Populations and Communities
411
The Trophodynamics of Whole Ecological Communities
443
Frontiers in Applied Biology
493

A Clue to Some Problems of NeoDarwinism
174
The Changing Role of Population Genetics Theory
186
Some Advantages and Disadvantages of Recombination
198
A Brief Intellectual History
212
The Undiscovered Country
238
Stochastic Demography and Life Histories
254
Structured Population Dynamics
280
Uncertainty and Fisheries Management
516
Health Information in Developing Countries
550
What Everyone Should Know About the BelousovZhabotinsky Reaction
569
Avoiding Chaos
588
Some Remarks on Estimation Techniques for SizeStructured Population Models
609
Subject Index
625
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