Mathematics And The Life Sciences: Selected Lectures, Canadian Mathematical Congress, August 1975 (lecture Notes In Biomathematics)(volume 18)

For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter­ disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical re­ searchers. To accomplish these objective the committee assembled a stim­ ulating programme of lectures and talks. Six principal lecturers each delivered a series of five one-hour lectures in which various aspects of the interaction between mathematics and the life sciences were considered. In addition researchers working in the areas of health, population biology, physiology and development biology and disease processes were invited to give more than 25 hours of complementary talks. For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this interƯ disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical reƯ searchers. To accomplish these objective the committee assembled a stimƯ ulating programme of lectures and talks. Six principal lecturers each delivered a series of five one-hour lectures in which various aspects of the interaction between mathematics and the life sciences were considered. In addition researchers working in the areas of health, population biology, physiology and development biology and disease processes were invited to give more than 25 hours of complementary talks Front Matter....Pages N1-VII Front Matter....Pages 1-1 Problems of Statistical Inference in the Life Sciences....Pages 2-59 Conditional Inference is not Inefficient....Pages 60-65 Front Matter....Pages 66-66 Lecture I: General Structures and Theory....Pages 67-86 Lecture II: Radioligand Assays....Pages 87-100 Lecture III: Combination of Assay Results....Pages 101-116 Lecture IV: The Need for Contemporary Comparisons....Pages 117-136 Lecture V: Assays of Antiserum Activity....Pages 137-151 Front Matter....Pages 152-152 Qualitative Analysis of Complex Systems....Pages 153-170 The Characteristic Equation and Stability....Pages 171-179 Moving Equilibria....Pages 180-184 Characteristic Vectors....Pages 185-191 Some Simplifications....Pages 192-195 Responses to Parameter Change....Pages 196-199 Front Matter....Pages 200-200 Evolution and the Theory of Games....Pages 201-212 Ecological Models in Evolutionary Time....Pages 213-221 Front Matter....Pages 222-222 The Generation and Recognition of Patterns in Biological Systems....Pages 223-341 Front Matter....Pages 342-342 Catastrophe Theory — A Geometrical Introduction....Pages 343-358 Cellular Coordination in Embryogenesis: Some Theoretical Considerations....Pages 359-373 Models of the Nerve Impulse....Pages 374-385