Ebook: Mathematical Problems in Biology: Victoria Conference

A conference on "Some Mathematical Problems in Biology" was held at the University of Victoria, Victoria, B. C. , Canada, from May 7 - 10, 1973. The participants and invited speakers were mathematicians interested in problems of a biological nature, and scientists actively engaged in developing mathematical models in biological fields. One aim of the conference was to attempt to assess what the recent rapid growth of mathematical interaction with the biosciences has accomplished and may accomplish in the near future. The conference also aimed to expose the problems of communication bet~",een mathematicians and biological scientists, and in doing so to stimulate the interchange of ideas. It was recognised that the topic spans an enormous breadth, and little attempt was made to balance the very diverse areas. Widespread active interest was shown in the conference, and just over one hundred people registered. The varied departments and institutions across North America from which the participants came made it both academically and geographically mixed. The chief activity of the conference was the presentation of papers. Nine invited guest speakers (see table of contents) each gave a one hour talk. These covered a wide range of topics. There were twenty-five shorter (twenty minute) contributed papers, and almost all papers l,rere followed by a five minute question and discussion period. Duplicated abstracts of presented papers were available at the meeting. An evening informal discussion meeting of participants, chaired by Dr. A. B. Tayler, and led by Drs. E. M. Hagmeier, E. C.

---

---

Content:
Front Matter....Pages N1-VI
Measurement Processes and Hierarchical Organization....Pages 1-7
Analysis of Wave Propagation in Cilia and Flagella....Pages 8-28
Mathematical Bioeconomics....Pages 29-45
Models of Large-Scale Nervous Activity....Pages 46-46
Summary of “Strategy for a Predator with a Mimicking Prey”....Pages 47-49
Finite Difference Methods for the Numerical Solution of the Nernst-Planck-Poisson Equations....Pages 50-61
Habitat Selection and a Liapunov Function for Competition Communities....Pages 62-65
Aspects of Evolutionary Theory and the Theory of Games....Pages 66-72
Coexistence of Species in a Discrete System....Pages 73-82
Asymptotic Behavior and Stability in Epidemic Models....Pages 83-92
Resilience and Stability as Shown by Models of Ecological Systems....Pages 93-95
Thresholds for Deterministic Epidemics....Pages 96-101
Dynamic Analysis in “Soft Science” Studies: In Defense of Difference Equations....Pages 102-122
Probabilistic Limit Cycles....Pages 123-131
Oscillations in Biochemistry....Pages 132-138
A Simple Test for Tag-Recapture Estimation....Pages 139-139
Are Species Association Coefficients Really Necessary?....Pages 140-140
A Model of Morphogenesis....Pages 141-142
Flagellar Growth....Pages 143-145
Some Remarks on Random Sets Mosaics....Pages 146-151
Qualitative Behavior of Stochastic Epidemics....Pages 152-154
Stochastic Models for Cell Proliferation....Pages 155-163
Instructional Lecture on Mathematical Techniques....Pages 164-164
Anomalous Diffusion Through Membranes....Pages 165-165
The Role of Age Structure in the Dynamics of Interacting Populations....Pages 166-173
Some Consequences of Stochasticizing an Ecological System Model....Pages 174-183
Competition on an Environmental Gradient....Pages 184-204
Morphogenesis in Sand Dollar Embryos....Pages 205-205
Ecological and Economic Markets....Pages 206-210
Some Stochastic Growth Processes....Pages 211-225
Derivation of the Equation for Concentration Profiles in a Binary Diffusing System....Pages 226-235
An Economic Model of Population Growth and Competition in Natural Communities....Pages 236-240
Wavelike Activity in Biological and Chemical Media....Pages 241-260
Mathematics and Biology....Pages 261-268
Some Problems Posed at the Conference....Pages 269-272
A Bibliography of Mathematical Biology....Pages 273-280

---

Content:
Front Matter....Pages N1-VI
Measurement Processes and Hierarchical Organization....Pages 1-7
Analysis of Wave Propagation in Cilia and Flagella....Pages 8-28
Mathematical Bioeconomics....Pages 29-45
Models of Large-Scale Nervous Activity....Pages 46-46
Summary of “Strategy for a Predator with a Mimicking Prey”....Pages 47-49
Finite Difference Methods for the Numerical Solution of the Nernst-Planck-Poisson Equations....Pages 50-61
Habitat Selection and a Liapunov Function for Competition Communities....Pages 62-65
Aspects of Evolutionary Theory and the Theory of Games....Pages 66-72
Coexistence of Species in a Discrete System....Pages 73-82
Asymptotic Behavior and Stability in Epidemic Models....Pages 83-92
Resilience and Stability as Shown by Models of Ecological Systems....Pages 93-95
Thresholds for Deterministic Epidemics....Pages 96-101
Dynamic Analysis in “Soft Science” Studies: In Defense of Difference Equations....Pages 102-122
Probabilistic Limit Cycles....Pages 123-131
Oscillations in Biochemistry....Pages 132-138
A Simple Test for Tag-Recapture Estimation....Pages 139-139
Are Species Association Coefficients Really Necessary?....Pages 140-140
A Model of Morphogenesis....Pages 141-142
Flagellar Growth....Pages 143-145
Some Remarks on Random Sets Mosaics....Pages 146-151
Qualitative Behavior of Stochastic Epidemics....Pages 152-154
Stochastic Models for Cell Proliferation....Pages 155-163
Instructional Lecture on Mathematical Techniques....Pages 164-164
Anomalous Diffusion Through Membranes....Pages 165-165
The Role of Age Structure in the Dynamics of Interacting Populations....Pages 166-173
Some Consequences of Stochasticizing an Ecological System Model....Pages 174-183
Competition on an Environmental Gradient....Pages 184-204
Morphogenesis in Sand Dollar Embryos....Pages 205-205
Ecological and Economic Markets....Pages 206-210
Some Stochastic Growth Processes....Pages 211-225
Derivation of the Equation for Concentration Profiles in a Binary Diffusing System....Pages 226-235
An Economic Model of Population Growth and Competition in Natural Communities....Pages 236-240
Wavelike Activity in Biological and Chemical Media....Pages 241-260
Mathematics and Biology....Pages 261-268
Some Problems Posed at the Conference....Pages 269-272
A Bibliography of Mathematical Biology....Pages 273-280
....