Abstract
This bibliography was compiled by the author during the spring of 1973 and was distributed to students attending a graduate level course in biomathematics. References to areas in biophysics (for example ion transport across real and synthetic membranes), cell biology (growth, function and form) and the nervous system are not included here; a more comprehensive bibliography would, of course, need to include these areas. The bibliography does not contain references to scientific papers. The listings are by year of publication, the oldest publications being at the top and the latest are at the bottom. Within each year the listings are by author alphabetically.
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Topics in General Mathematical Biology
Rashevsky, N., Advances and Applications of Mathematical Biology, University of Chicago Press, Chicago, 1940.
Rashevsky, N., Mathematical Biophysics, (revised edition), The University of Chicago Press, Chicago, 1948.
Bailey, N. T. J., The Mathematical Theory of Epidemics, Griffin, London, 1957.
Rashevsky, N., Mathematical Biophysics, Physico-Mathematical Foundations of Biology; Dover Publications, New York, Vol. 1, Vol. 2, 1960. (This is a revision of the above work by Rashevsky.)
Rashevsky, N., Mathematical Principles in Biology and Their Applications, Charles C. Thomas, Springfield, 1961.
Lucas, H. L., Cullowhee Conference on Training in Biomathematics, Typing Service, North Carolina State University, Raleigh, 1962. (Copies available from Institute of Statistics at $5.25.)
Mathematical Problems in the Biological Sciences, Proceedings of Symposia in Applied Mathematics Vol. XIV, American Math. Soc., Providence, 1962.
Attinger, E. O., (editor), International Symposium on Pulsatile Blood Flow, 1st, Philadelphia, 1963, Blakiston Division of McGraw-Hill, New York, 1964.
Bailey, N. T. J., The Elements of Stochastic Processes with Applications to the Natural Sciences, John Wiley and Sons, New York, 1964.
Tentative recommendations for the undergraduate program of students in the biological management and social sciences, 1964. (CUPM Central Office, P.O. Box 1024, Berkeley, CA, 94701.)
Waterman, T. H., and Morowitz, H. J. (editors), Theoretical and Mathematical Biology, Blaisdell, New York, 1965.
Batschelet, E., Statistical Methods for the Analysis of Problems in Animal Orientation and Certain Biological Rhythms, American Institute of Biological Sciences, Washington, D. C., 1965.
Sollberger, A., Biological Rhythm Research, Elsevier Publishing Co., New York, 1965.
Bailey, N. T. J., The Mathematical Approach to Biology and Medicine, J. Wiley and Sons, New York, 1967.
Rosen, R., Optimality Principles in Biology, Butterworths, London, 1967.
Baker, J. T. W., and Allen, G. E., Hypothesis, Prediction and Implication in Biology, Addison-Wesley, Reading, 1968.
Biokybernetik, Band 1, Materialien des 1. Internationalen Symposiums, “Biokybernetik”, Leipzig, Sept., 1967, Karl-Marx-Universität, Leipzig, 1968.
Biokybernetik, Band 2, Materialen des 1. Internationalen Symposiums, “Biokybernetik”, Leipzig, Sept., 1967, Karl-Marx-Universität, Leipzig, 1968.
Smith, J. M., Mathematical Ideas in Biology, Cambridge University Press, Cambridge, 1968.
Symposium on Mathematical Biology, 1st., Washington D. C., 1966: Some Mathematical Problems in Biology, Vol. 1, American Math. Soc., Providence, 1968.
Heinmets, F. (editor), Concepts and Models of Biomathematics, Vol. 1, M. Dekker, New York, 1969.
Hoffman, W. C., Bibliography for an Undergraduate Course in Applications of Mathematics in the Life Sciences, Dec., 1970. (CUPM Central Office, P.O. Box 1024, Berkeley, CA, 94701.)
The Life Sciences, Recent Progress and Application to Human Affairs, The World of Biological Research, Requirements for the Future, National Academy of Sciences, Washington, D. C., 1970.
Luce, G. G., Biological Rhythms in Human and Animal Physiology, U. S. Department of Health, Education and Welfare, and National Institute of Mental Health, 1970.
Recommendations for the Undergraduate Mathematics Program for Students in the Life Sciences, Sept., 1970. (CUPM Central Office, P.O. Box 1024, Berkeley, CA, 94701.)
Smith, R. E., Biorhythm Theory, Control Data Institute, Control Data Corporation, Minneapolis, 1970.
Symposium on Mathematical Biology, 2nd., New York, 1967; and Symposium on Mathematical Biology, 3rd., Dallas, 1968: Some Mathematical Questions in Biology, Vol. 2, American Math. Soc, Providence, 1970.
Colquhoun, W. P. (editor), Biological Rhythms and Human Performance, Academic Press, New York, 1971.
Gel’fand, I. M., Gurfinkel, V. S., Fomin, S. V., and Tsetlin, M. L. (editors), Models of the Structural-Functional Organization of Certain Biological Systems, M.I.T. Press, Cambridge, 1971.
Mathematical Aspects of Life Sciences (Proceedings of the Symposium held at Queen’s University in June, 1969) edited by M. T. Wasan, Queen’s papers in pure and applied mathematics no. 26, Queen’s University, Kingston, Ontario, 1971.
Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 1: Subcellular Systems, Academic Press, New York, 1972.
Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 2: Cellular Systems, Academic Press, 1972.
Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 3: Supercellular Systems, Academic Press, 1972.
Welch, J. C., Potchen, E. J., and Welch, M. J., Fundamentals of the Tracer Method, W. B. Saunders, Philadelphia, 1972.
Symposium on Mathematical Biology, 4th., Boston, 1969: Some Mathematical Questions in Biology II, Vol. 3, American Math. Soc., Providence, 1972.
Symposium on Mathematical Biology, 5th., Chicago, 1970: Some Mathematical Questions in Biology III, Vol. 4, American Math. Soc., Providence, 1972.
Lieberstein, H. M., Mathematical Physiology, Blood Flow and Electrically Active Cells, American Elsevier, 1973.
Rubinow, S., Mathematical Problems in the Biological Sciences, (CBMS Regional Conference Series in Applied Mathematics), SIAM Publications, 33 S. 17th St., Philadelphia, 1973.
Mathematical Techniques in Biology, Medicine
Feldman, W. M., Biomathematics, Charles Griffin and Co., London, 1923.
Kostitzin, V. A., Mathematical Biology, Harrap, London, 1939.
Saunders, L., and Fleming, R., Mathematics and Statistics for Use in Pharmacy, Biology and Chemistry, Pharmaceutical Press, London, 1957.
Defares, J., and Sneddon, I. N., The Mathematics of Medicine and Biology, North Holland, Amsterdam, 1961. (Also, Year Book Medical Publishers, Chicago, 1961.)
Moran, P. A. P., The Statistical Processes of Evolutionary Theory, Clarendon Press, Oxford, 1962.
Nahikian, H. M., A Modern Algebra for Biologists, University of Chicago Press, Chicago, 1964.
Searle, S. R., Matrix Algebra for the Biological Sciences, Including Applications in Statistics, J. Wiley and Sons, New York, 1966.
Smith, C. A. B., Biomathematics, Vol. 1, (4th edition) Hafner Publ. Co., New York, 1966.
Stibitz, G. B., Mathematics in Medicine and the Life Sciences, Year Book Medical Publishers, Inc., Chicago, 1966.
Rosen, R., Optimality Principles in Biology, Butterworths, London, 1967.
Bartlett, M. S., Biomathematics, Clarendon Press, Oxford, 1968.
Chiang, C. L., Introduction to Stochastic Processes in Biostatistics, J. Wiley and Sons, New York, 1968.
Mosimann, J. E., Elementary Probability for the Biological Sciences, Appleton-Century-Crofts, New York, 1968.
Crowe, A., and Crowe, A., Mathematics for Biologists, Academic Press, New York, 1969.
Rosen, R., Dynamical System Theory in Biology, Vol. 1: Stability Theory and its Applications, J. Wiley and Sons, New York, 1970.
Batschelet, E., Introduction to Mathematics for Life Scientists, Springer-Verlag, New York, 1971.
Colquhoun, D., Lectures on Biostatistics; An Introduction to Statistics with Applications in Biology and Medicine, Clarendon Press, Oxford, 1971.
Schadach, D. J., Biomathematik, I, Kombinatorik, Wahrscheinlichkeit und Information, Akademie-Verlag, Berlin, 1971.
Schadach, D. J., Biomathematik, II, Graphen, Halbgruppen und Automaten, Akademie-Verlag, Berlin, 1971.
Ashton, W. D., The Logit Transformation (with special reference to its uses in Bioassay), Griffin, London, 1972.
Bahn, A., Basic Medical Statistics, Grune and Stratton, New York, 1972.
Simon, W., Mathematical Techniques for Physiology and Medicine, Academic Press, New York, 1972.
Sokal, R. R., and Rohlf, F. J., Introduction to Biostatistics, W. H. Freeman, San Francisco, 1972.
Vann, E., Fundamentals of Biostatistics, D. C. Heath, Lexington, 1972.
Baxter, W. E., and Sloyer, C. W., Calculus with Probability for the Life and Management Sciences, Addison-Wesley, Reading, 1973.
Population Studies
Volterra, V., Lecons sur la Théorie Mathématique de la Lutte pour la Vie, Gauthier-Villars, Paris, 1931.
Ullyett, G. C., Biomathematics and Insect Population Problems—a Critical Review. Memoir Entomol. Soc. of S. Africa, Pretoria. No. 2, 1953.
Lotka, A. J., Elements of Mathematical Biology, Dover, New York, 1956.
Bartlett, M. S., Stochastic Population Models in Ecology and Epidemiology, Methuen and Co., London, 1960.
Bailey, N. T. J., Introduction to the Mathematical Theory of Genetic Linkage, Clarendon Press, Oxford, 1961.
Keyfitz, N., Introduction to the Mathematics of Population, Addison-Wesley, Reading, 1968.
Kuczynski, R. R., The Measurement of Population Growth: Methods and Results, Demographic Monographs, Vol. 6, Gordon and Breach, New York, 1969.
Ehrlich, P. R., and Ehrlich, A. H., Population Resources Environment, Issues in Human Ecology, W. H. Freeman, San Francisco, 1970.
Kojima, K., (editor), Biomathematics, Vol. 1, Mathematical Topics in Population Genetics, Springer-Verlag, New York, 1970.
Andrewartha, H. G., Introduction to the Study of Animal Populations, (2nd edition), Methuen, London, 1971.
Cavalli-Sforza, L. L., and Bodmer, W. F., The Genetics of Human Populations, W. H. Freeman, San Francisco, 1971.
Goel, N. S., Maitra, S. C., and Montroll, E. W., On the Volterra and Other Nonlinear Models of Interacting Populations, Academic Press, New York, 1971.
Keyfitz, N., and Flieger, W., Population: Facts and Methods of Demography, W. H. Freeman, San Francisco, 1971.
Wilson, E. O., and Bossert, W. H., A Primer of Population Biology, Sinauer Associates, Stanford, 1971.
The Mathematical Theory of the Dynamics of Biological Populations, (Conference), Oxford; The Institute of Mathematics and its Applications, Southend-on-Sea, Essex, England, 1972.
Cole, H. S. D., et al., (editors), Models of Doom: A Critique of the Limits to Growth, Universe Books, New York, 1972.
Greville, T. N. E., (editor), Population Dynamics, Proceedings of the Symposium on Population Dynamics conducted by the Mathematics Research Center, University of Wisconsin, Madison, June 19-21, 1972, Academic Press, New York, 1972.
Meadows, D. H., Meadows, D. L., Randers, J., and Behrens III, W. W., The Limits to Growth, (A Report for the Club of Rome’s Project on the Predicament of Mankind), Universe Books, New York, 1972.
Williamson, M., The Analysis of Biological Populations, E. Arnold, London, 1972.
Thermodynamic Considerations
Katchalsky, A., and Curran, P. F., Nonequilibrium Thermodynamics in Biophysics, Harvard University Press, Cambridge, 1965.
Linford, J. H., An Introduction to Energetics with Applications to Biology, Butterworths, London, 1966.
Prigogine, I., Introduction to Thermodynamics of Irreversible Processes (third edition), Interscience Publishers, New York, 1967.
Morowitz, H. J., Energy Flow in Biology; Biological Organization as a Problem in Thermal Physics, Academic Press, New York, 1968.
Morowitz, H. J., Entropy for Biologists; An Introduction to Thermodynamics, Academic Press, New York, 1970.
Glandsdorff, P., and Prigogine, I., Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley-Interscience, New York, 1971.
Control Theories
Mesarović, M. D., The Control of Multivariable Systems, M.I.T. Press, Cambridge, 1960.
Grodins, F. S., Control Theory and Biological Systems, Columbia University Press, New York, 1963.
Riggs, D. S., The Mathematical Approach to Physiological Problems, The Williams and Wilkins Co., Baltimore, 1963.
Milsum, J. H., Biological Control Systems Analysis, McGraw-Hill, New York, 1966.
DiStefano, J. J., Stubberud, A. R., and Williams, I. J., Feedback and Control Systems, Schaum Outline Series, McGraw-Hill, New York, 1967.
Mesarović, M. D. (editor), Systems Theory and Biology, Springer-Verlag, New York, 1968.
Milsum, J. H., Positive Feedback; a General Systems Approach to Positive/Negative Feedback and Mutual Causality, 1968.
Mesarović, M. D., Macko, D., and Takahara, Y., Theory of Hierarchical, Multilevel Systems, Academic Press, New York, 1970.
Riggs, D. S., Control Theory and Physiological Feedback Mechanisms, The Williams and Wilkins Co., Baltimore, 1970.
Riggs, D. S., The Mathematical Approach to Physiological Problems: A Critical Primer, M.I.T. Press, Cambridge, 1970.
Hassenstein, B., Information and Control in the Living Organism, an elementary introduction, Chapman and Hall, London, 1971.
Taxonomy
Gregg, J. R., The Language of Taxonomy, an application of symbolic logic to the study of classificatory systems, Columbia University Press, New York, 1954.
Sokol, R. R., and Sneath, P. H. A., Principles of Numerical Taxonomy, W. H. Freeman, San Francisco, 1963.
Jardine, N., and Sibson, R., Mathematical Taxonomy, John Wiley and Sons, New York, 1971.
The Brain
von Neumann, J., The Computer and the Brain, Yale University Press, New Haven, 1958.
Arbib, M., Brains, Machines and Mathematics, McGraw-Hill, New York, 1964.
Kabrisky, M., A Proposed Model for Visual Information Processing in the Human Brain, University of Illinois Press, Urbana, 1966.
Stevens, C. F., Neurophysiology: a primer, J. Wiley and Sons, New York, 1966.
Eccles, J. C., The Understanding of the Brain, McGraw-Hill, New York, 1972.
Ecology
Kershaw, K. A., Quantitative and Dynamic Ecology, Edward Arnold, London, 1964.
Pattee, H. H., Edelsack, E. A., Fein, L., and Callahan, A. B., Natural Automata and Useful Simulations, Spartan Books, Washington, D. C., 1966.
Watt, K. E. F., (editor), Systems Analysis in Ecology, Academic Press, New York, 1966.
Watt, K. E. F., Ecology and Resource Management: A Quantitative Approach, McGraw-Hill, Hightstown, New Jersey, 1968.
Pielou, E. C., An Introduction to Mathematical Ecology, Wiley-Interscience, New York, 1969.
Chaston, I., Mathematics for Ecologists, Butterworths, London, 1971.
Patii, G. P, Pielou, E. C., and Waters, W. E., (editors), Statistical Ecology, Vol. 1: Spatial Patterns and Statistical Distributions, Pennsylvania State University Press, University Park, 1971.
Patii, G. P., Pielou, E. C., and Waters, W. E., (editors), Statistical Ecology, Vol. 2: Sampling and Modeling Biological Populations and Population Dynamics, Pennsylvania State University Press, University Park, 1971.
Patil, G. P., Pielou, E. C., and Waters, W. E., (editors), Statistical Ecology, Vol. 3: Many species Populations, Ecosystems and Systems Analysis, Pennsylvania State University Press, University Park, 1971.
Patten, B. C. (editor), Systems Analysis and Simulation in Ecology, Vol. 1, Academic Press, New York, 1971.
Ehrlich, P. R., Ehrlich, A. E., and Holdren, J. P., Human Ecology: Problems and Solutions, W. H. Freeman, San Francisco, 1972.
Emmel, T. C., An Introduction to Ecology and Population Biology, W. W. Norton, New York, 1972.
Jeffers, J. N. R. (editor), Mathematical Models in Ecology, Proceedings of the 12th Symposium of the British Ecological Society, Blackwell Scientific Publication, Oxford, 1972.
MacArthur, R. H., Geographical Ecology, Patterns in the Distribution of Species, Harper and Row, New York, 1972.
Patten, B. C., Systems Analysis and Simulation in Ecology, Vol. 2, Academic Press, New York, 1972.
Watt, K. E. F., Principles of Environmental Science, McGraw-Hill, New York, 1973.
Computers In Biology, Medicine
Ledley, R. S., Use of Computers in Biology and Medicine, McGraw-Hill, New York, 1965.
Stacy, R. W., and Waxman, B. D., Computers in Biomedicai Research, Vol. 1, Academic Press, New York, 1965.
Stacy, R. W., and Waxman, B. D., Computers in Biomedicai Research, Vol. 2, Academic Press, New York, 1965.
Sterling, T. D., and Pollack, S. V., Computers and the Life Sciences, Columbia University Press, New York, 1965.
Li, J. C. R., Numerical Analysis, Edwards Brothers, Ann Arbor, 1966.
Röpke, H., und Riemann, J., Analogcomputer in Chemie und Biologie, Eine Einführung, Springer-Verlag, Berlin, 1969.
Fraser, A., and Burnell, D., Computer Models in Genetics, McGraw-Hill, New York, 1970.
Davies, R. G., Computer Programming in Quantitative Biology, Academic Press, New York, 1971.
Epidemic Simulation for Students in Medicine, Center for Environmental Quality Management, 302 Hollister Hall, Cornell University, Ithaca, N.Y., 1972.
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Swan, G.W. (1974). A Bibliography of Mathematical Biology. In: van den Driessche, P. (eds) Mathematical Problems in Biology. Lecture Notes in Biomathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45455-4_36
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