Vito Volterra Symposium on Mathematical Models in Biology

1. Front Matter

   Pages I-VI

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2. Models of Natural Selection

   1. Front Matter

      Pages 1-1

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   2. Models of Natural Selection

      • R. C. Lewontin

      Pages 3-16

   3. Stochastic Theory of Population Genetics and Evolution

      • Masatoshi Nei

      Pages 17-47

   4. Natural Selection and Continuous Variation

      • Alan Robertson

      Pages 48-55

   5. Some Models for the Evolution of Adaptive Traits

      • Simon A. Levin

      Pages 56-72

   6. Evolutionary Game Theory

      • J. Maynard Smith

      Pages 73-81

   7. Variability and Permanence in Molecular Genetics

      • G. Malecot

      Pages 82-97

   8. Evolution in Human Populations: Data and Models

      • A. Piazza

      Pages 98-132

   9. Models of Density- and Frequency- Dependent Selection for the Exploitation of Resources. II. Coevolution of Species in Competition

      • C. Matessi, S. D. Jayakar

      Pages 133-150

   10. Intraspecific Competition and Evolution

       • Freddy Bugge Christiansen, Volker Loeschcke

       Pages 151-170

   11. Ecological Implications of Natural Selection

       • Lev R. Ginzburg

       Pages 171-183

3. Problems in Population Biology and Related Disciplines

   1. Front Matter

      Pages 185-185

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   2. Areas of Overlap of Population Genetics with Related Disciplines

      • L. Cavalli-Sforza

      Pages 187-194

   3. Completeness and Craft Standards in Ecological Theory

      • L. B. Slobodkin

      Pages 195-221

   4. A Theoretical Approach to the Dynamics of Single Populations

      • C. Matessi

      Pages 222-247

   5. Stochastic Equations in Neurobiology and Population Biology

      • L. M. Ricciardi

      Pages 248-263

   6. Models for Vector-Borne Parasitic Diseases

      • K. Dietz

      Pages 264-277

   7. The Dynamics and Control of Direct Life Cycle Helminth Parasites

      • Roy M. Anderson

      Pages 278-322

   8. Epidemiologic Models of Bacterial Diseases

      • B. Cvjetanović

      Pages 323-328

The idea of organizing a symposium on mathematical models in biology came to some colleagues, members of the Accademia dei Lincei, in order to point out the importance of mathematics not only for supplying instruments for the elaboration and the evaluation of experimental data, but also for discussing the possibility of developing mathematical formulations of biological problems. This appeared particularly appropriate for genetics, where mathematical models have been of historical importance. When the organizing work had started, it became clear to us that the classic studies of Vito Volterra (who was also a Member of the Academy and its President from 1923 to 1926) might be con­ sidered a further reason to have the meeting in Rome at the Accademia dei Lincei; thus the meeting is dedicated to his memory. Biology, in its manifold aspects proved to Se ~ difficult object for an exhaustive approach; thus it became necessary for practical reasons to make a choice of problems. Therefore not all branches of biology have been represented. The proceedings of the symposium, as a whole, assume a knowledge of mathematics on the part of the reader; however the problem of teaching mathematics to biologists was the subject of a round table discussion, not recorded in these proceedings. On this were brought up some basic points to be recommended to teachers on an international basis, and a statement was prepared for circulation. The Organizing Committee TABLE OF CONTENTS TOPIC I MODELS OF NATUPAL SELECTION . . . . . . . • . . . .

• Biologisch-mathematisches Modell
• Evolution (Biol.)
• Population
• dynamics
• genetics
• mathematical biology
• mathematics
• population biology

• Milan, Italy

  Claudio Barigozzi

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