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A Bibliography of Mathematical Biology

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Mathematical Problems in Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 2))

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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.

    Google Scholar 

  • Rashevsky, N., Mathematical Biophysics, (revised edition), The University of Chicago Press, Chicago, 1948.

    Google Scholar 

  • Bailey, N. T. J., The Mathematical Theory of Epidemics, Griffin, London, 1957.

    Google Scholar 

  • 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.)

    Google Scholar 

  • Rashevsky, N., Mathematical Principles in Biology and Their Applications, Charles C. Thomas, Springfield, 1961.

    MATH  Google Scholar 

  • 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.)

    Google Scholar 

  • Mathematical Problems in the Biological Sciences, Proceedings of Symposia in Applied Mathematics Vol. XIV, American Math. Soc., Providence, 1962.

    Google Scholar 

  • Attinger, E. O., (editor), International Symposium on Pulsatile Blood Flow, 1st, Philadelphia, 1963, Blakiston Division of McGraw-Hill, New York, 1964.

    Google Scholar 

  • Bailey, N. T. J., The Elements of Stochastic Processes with Applications to the Natural Sciences, John Wiley and Sons, New York, 1964.

    MATH  Google Scholar 

  • 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.)

    Google Scholar 

  • Waterman, T. H., and Morowitz, H. J. (editors), Theoretical and Mathematical Biology, Blaisdell, New York, 1965.

    Google Scholar 

  • 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.

    Google Scholar 

  • Sollberger, A., Biological Rhythm Research, Elsevier Publishing Co., New York, 1965.

    Google Scholar 

  • Bailey, N. T. J., The Mathematical Approach to Biology and Medicine, J. Wiley and Sons, New York, 1967.

    Google Scholar 

  • Rosen, R., Optimality Principles in Biology, Butterworths, London, 1967.

    MATH  Google Scholar 

  • Baker, J. T. W., and Allen, G. E., Hypothesis, Prediction and Implication in Biology, Addison-Wesley, Reading, 1968.

    Google Scholar 

  • Biokybernetik, Band 1, Materialien des 1. Internationalen Symposiums, “Biokybernetik”, Leipzig, Sept., 1967, Karl-Marx-Universität, Leipzig, 1968.

    Google Scholar 

  • Biokybernetik, Band 2, Materialen des 1. Internationalen Symposiums, “Biokybernetik”, Leipzig, Sept., 1967, Karl-Marx-Universität, Leipzig, 1968.

    Google Scholar 

  • Smith, J. M., Mathematical Ideas in Biology, Cambridge University Press, Cambridge, 1968.

    Book  Google Scholar 

  • Symposium on Mathematical Biology, 1st., Washington D. C., 1966: Some Mathematical Problems in Biology, Vol. 1, American Math. Soc., Providence, 1968.

    Google Scholar 

  • Heinmets, F. (editor), Concepts and Models of Biomathematics, Vol. 1, M. Dekker, New York, 1969.

    Google Scholar 

  • 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.)

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Recommendations for the Undergraduate Mathematics Program for Students in the Life Sciences, Sept., 1970. (CUPM Central Office, P.O. Box 1024, Berkeley, CA, 94701.)

    Google Scholar 

  • Smith, R. E., Biorhythm Theory, Control Data Institute, Control Data Corporation, Minneapolis, 1970.

    Google Scholar 

  • 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.

    Google Scholar 

  • Colquhoun, W. P. (editor), Biological Rhythms and Human Performance, Academic Press, New York, 1971.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 1: Subcellular Systems, Academic Press, New York, 1972.

    Google Scholar 

  • Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 2: Cellular Systems, Academic Press, 1972.

    Google Scholar 

  • Rosen, R. (editor), Foundations of Mathematical Biology, Vol. 3: Supercellular Systems, Academic Press, 1972.

    Google Scholar 

  • Welch, J. C., Potchen, E. J., and Welch, M. J., Fundamentals of the Tracer Method, W. B. Saunders, Philadelphia, 1972.

    Google Scholar 

  • Symposium on Mathematical Biology, 4th., Boston, 1969: Some Mathematical Questions in Biology II, Vol. 3, American Math. Soc., Providence, 1972.

    Google Scholar 

  • Symposium on Mathematical Biology, 5th., Chicago, 1970: Some Mathematical Questions in Biology III, Vol. 4, American Math. Soc., Providence, 1972.

    Google Scholar 

  • Lieberstein, H. M., Mathematical Physiology, Blood Flow and Electrically Active Cells, American Elsevier, 1973.

    Google Scholar 

  • Rubinow, S., Mathematical Problems in the Biological Sciences, (CBMS Regional Conference Series in Applied Mathematics), SIAM Publications, 33 S. 17th St., Philadelphia, 1973.

    Google Scholar 

Mathematical Techniques in Biology, Medicine

  • Feldman, W. M., Biomathematics, Charles Griffin and Co., London, 1923.

    MATH  Google Scholar 

  • Kostitzin, V. A., Mathematical Biology, Harrap, London, 1939.

    Google Scholar 

  • Saunders, L., and Fleming, R., Mathematics and Statistics for Use in Pharmacy, Biology and Chemistry, Pharmaceutical Press, London, 1957.

    MATH  Google Scholar 

  • Defares, J., and Sneddon, I. N., The Mathematics of Medicine and Biology, North Holland, Amsterdam, 1961. (Also, Year Book Medical Publishers, Chicago, 1961.)

    Google Scholar 

  • Moran, P. A. P., The Statistical Processes of Evolutionary Theory, Clarendon Press, Oxford, 1962.

    MATH  Google Scholar 

  • Nahikian, H. M., A Modern Algebra for Biologists, University of Chicago Press, Chicago, 1964.

    Google Scholar 

  • Searle, S. R., Matrix Algebra for the Biological Sciences, Including Applications in Statistics, J. Wiley and Sons, New York, 1966.

    MATH  Google Scholar 

  • Smith, C. A. B., Biomathematics, Vol. 1, (4th edition) Hafner Publ. Co., New York, 1966.

    Google Scholar 

  • Stibitz, G. B., Mathematics in Medicine and the Life Sciences, Year Book Medical Publishers, Inc., Chicago, 1966.

    Google Scholar 

  • Rosen, R., Optimality Principles in Biology, Butterworths, London, 1967.

    MATH  Google Scholar 

  • Bartlett, M. S., Biomathematics, Clarendon Press, Oxford, 1968.

    Google Scholar 

  • Chiang, C. L., Introduction to Stochastic Processes in Biostatistics, J. Wiley and Sons, New York, 1968.

    MATH  Google Scholar 

  • Mosimann, J. E., Elementary Probability for the Biological Sciences, Appleton-Century-Crofts, New York, 1968.

    Google Scholar 

  • Crowe, A., and Crowe, A., Mathematics for Biologists, Academic Press, New York, 1969.

    Google Scholar 

  • Rosen, R., Dynamical System Theory in Biology, Vol. 1: Stability Theory and its Applications, J. Wiley and Sons, New York, 1970.

    Google Scholar 

  • Batschelet, E., Introduction to Mathematics for Life Scientists, Springer-Verlag, New York, 1971.

    Book  MATH  Google Scholar 

  • Colquhoun, D., Lectures on Biostatistics; An Introduction to Statistics with Applications in Biology and Medicine, Clarendon Press, Oxford, 1971.

    MATH  Google Scholar 

  • Schadach, D. J., Biomathematik, I, Kombinatorik, Wahrscheinlichkeit und Information, Akademie-Verlag, Berlin, 1971.

    MATH  Google Scholar 

  • Schadach, D. J., Biomathematik, II, Graphen, Halbgruppen und Automaten, Akademie-Verlag, Berlin, 1971.

    Google Scholar 

  • Ashton, W. D., The Logit Transformation (with special reference to its uses in Bioassay), Griffin, London, 1972.

    MATH  Google Scholar 

  • Bahn, A., Basic Medical Statistics, Grune and Stratton, New York, 1972.

    Google Scholar 

  • Simon, W., Mathematical Techniques for Physiology and Medicine, Academic Press, New York, 1972.

    Google Scholar 

  • Sokal, R. R., and Rohlf, F. J., Introduction to Biostatistics, W. H. Freeman, San Francisco, 1972.

    Google Scholar 

  • Vann, E., Fundamentals of Biostatistics, D. C. Heath, Lexington, 1972.

    Google Scholar 

  • Baxter, W. E., and Sloyer, C. W., Calculus with Probability for the Life and Management Sciences, Addison-Wesley, Reading, 1973.

    MATH  Google Scholar 

Population Studies

  • Volterra, V., Lecons sur la Théorie Mathématique de la Lutte pour la Vie, Gauthier-Villars, Paris, 1931.

    Google Scholar 

  • Ullyett, G. C., Biomathematics and Insect Population Problems—a Critical Review. Memoir Entomol. Soc. of S. Africa, Pretoria. No. 2, 1953.

    Google Scholar 

  • Lotka, A. J., Elements of Mathematical Biology, Dover, New York, 1956.

    MATH  Google Scholar 

  • Bartlett, M. S., Stochastic Population Models in Ecology and Epidemiology, Methuen and Co., London, 1960.

    MATH  Google Scholar 

  • Bailey, N. T. J., Introduction to the Mathematical Theory of Genetic Linkage, Clarendon Press, Oxford, 1961.

    MATH  Google Scholar 

  • Keyfitz, N., Introduction to the Mathematics of Population, Addison-Wesley, Reading, 1968.

    Google Scholar 

  • Kuczynski, R. R., The Measurement of Population Growth: Methods and Results, Demographic Monographs, Vol. 6, Gordon and Breach, New York, 1969.

    Google Scholar 

  • Ehrlich, P. R., and Ehrlich, A. H., Population Resources Environment, Issues in Human Ecology, W. H. Freeman, San Francisco, 1970.

    Google Scholar 

  • Kojima, K., (editor), Biomathematics, Vol. 1, Mathematical Topics in Population Genetics, Springer-Verlag, New York, 1970.

    Google Scholar 

  • Andrewartha, H. G., Introduction to the Study of Animal Populations, (2nd edition), Methuen, London, 1971.

    Google Scholar 

  • Cavalli-Sforza, L. L., and Bodmer, W. F., The Genetics of Human Populations, W. H. Freeman, San Francisco, 1971.

    Google Scholar 

  • 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.

    Google Scholar 

  • Keyfitz, N., and Flieger, W., Population: Facts and Methods of Demography, W. H. Freeman, San Francisco, 1971.

    Google Scholar 

  • Wilson, E. O., and Bossert, W. H., A Primer of Population Biology, Sinauer Associates, Stanford, 1971.

    Google Scholar 

  • The Mathematical Theory of the Dynamics of Biological Populations, (Conference), Oxford; The Institute of Mathematics and its Applications, Southend-on-Sea, Essex, England, 1972.

    Google Scholar 

  • Cole, H. S. D., et al., (editors), Models of Doom: A Critique of the Limits to Growth, Universe Books, New York, 1972.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Williamson, M., The Analysis of Biological Populations, E. Arnold, London, 1972.

    Google Scholar 

Thermodynamic Considerations

  • Katchalsky, A., and Curran, P. F., Nonequilibrium Thermodynamics in Biophysics, Harvard University Press, Cambridge, 1965.

    Google Scholar 

  • Linford, J. H., An Introduction to Energetics with Applications to Biology, Butterworths, London, 1966.

    Google Scholar 

  • Prigogine, I., Introduction to Thermodynamics of Irreversible Processes (third edition), Interscience Publishers, New York, 1967.

    Google Scholar 

  • Morowitz, H. J., Energy Flow in Biology; Biological Organization as a Problem in Thermal Physics, Academic Press, New York, 1968.

    Google Scholar 

  • Morowitz, H. J., Entropy for Biologists; An Introduction to Thermodynamics, Academic Press, New York, 1970.

    Google Scholar 

  • Glandsdorff, P., and Prigogine, I., Thermodynamic Theory of Structure, Stability and Fluctuations, Wiley-Interscience, New York, 1971.

    Google Scholar 

Control Theories

  • Mesarović, M. D., The Control of Multivariable Systems, M.I.T. Press, Cambridge, 1960.

    Google Scholar 

  • Grodins, F. S., Control Theory and Biological Systems, Columbia University Press, New York, 1963.

    Google Scholar 

  • Riggs, D. S., The Mathematical Approach to Physiological Problems, The Williams and Wilkins Co., Baltimore, 1963.

    Google Scholar 

  • Milsum, J. H., Biological Control Systems Analysis, McGraw-Hill, New York, 1966.

    Google Scholar 

  • DiStefano, J. J., Stubberud, A. R., and Williams, I. J., Feedback and Control Systems, Schaum Outline Series, McGraw-Hill, New York, 1967.

    Google Scholar 

  • Mesarović, M. D. (editor), Systems Theory and Biology, Springer-Verlag, New York, 1968.

    Google Scholar 

  • Milsum, J. H., Positive Feedback; a General Systems Approach to Positive/Negative Feedback and Mutual Causality, 1968.

    Google Scholar 

  • Mesarović, M. D., Macko, D., and Takahara, Y., Theory of Hierarchical, Multilevel Systems, Academic Press, New York, 1970.

    MATH  Google Scholar 

  • Riggs, D. S., Control Theory and Physiological Feedback Mechanisms, The Williams and Wilkins Co., Baltimore, 1970.

    Google Scholar 

  • Riggs, D. S., The Mathematical Approach to Physiological Problems: A Critical Primer, M.I.T. Press, Cambridge, 1970.

    Google Scholar 

  • Hassenstein, B., Information and Control in the Living Organism, an elementary introduction, Chapman and Hall, London, 1971.

    Google Scholar 

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.

    Google Scholar 

  • Sokol, R. R., and Sneath, P. H. A., Principles of Numerical Taxonomy, W. H. Freeman, San Francisco, 1963.

    Google Scholar 

  • Jardine, N., and Sibson, R., Mathematical Taxonomy, John Wiley and Sons, New York, 1971.

    MATH  Google Scholar 

The Brain

  • von Neumann, J., The Computer and the Brain, Yale University Press, New Haven, 1958.

    MATH  Google Scholar 

  • Arbib, M., Brains, Machines and Mathematics, McGraw-Hill, New York, 1964.

    Google Scholar 

  • Kabrisky, M., A Proposed Model for Visual Information Processing in the Human Brain, University of Illinois Press, Urbana, 1966.

    Google Scholar 

  • Stevens, C. F., Neurophysiology: a primer, J. Wiley and Sons, New York, 1966.

    Google Scholar 

  • Eccles, J. C., The Understanding of the Brain, McGraw-Hill, New York, 1972.

    Google Scholar 

Ecology

  • Kershaw, K. A., Quantitative and Dynamic Ecology, Edward Arnold, London, 1964.

    Google Scholar 

  • Pattee, H. H., Edelsack, E. A., Fein, L., and Callahan, A. B., Natural Automata and Useful Simulations, Spartan Books, Washington, D. C., 1966.

    Google Scholar 

  • Watt, K. E. F., (editor), Systems Analysis in Ecology, Academic Press, New York, 1966.

    Google Scholar 

  • Watt, K. E. F., Ecology and Resource Management: A Quantitative Approach, McGraw-Hill, Hightstown, New Jersey, 1968.

    Google Scholar 

  • Pielou, E. C., An Introduction to Mathematical Ecology, Wiley-Interscience, New York, 1969.

    MATH  Google Scholar 

  • Chaston, I., Mathematics for Ecologists, Butterworths, London, 1971.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • Patten, B. C. (editor), Systems Analysis and Simulation in Ecology, Vol. 1, Academic Press, New York, 1971.

    Google Scholar 

  • Ehrlich, P. R., Ehrlich, A. E., and Holdren, J. P., Human Ecology: Problems and Solutions, W. H. Freeman, San Francisco, 1972.

    Google Scholar 

  • Emmel, T. C., An Introduction to Ecology and Population Biology, W. W. Norton, New York, 1972.

    Google Scholar 

  • Jeffers, J. N. R. (editor), Mathematical Models in Ecology, Proceedings of the 12th Symposium of the British Ecological Society, Blackwell Scientific Publication, Oxford, 1972.

    Google Scholar 

  • MacArthur, R. H., Geographical Ecology, Patterns in the Distribution of Species, Harper and Row, New York, 1972.

    Google Scholar 

  • Patten, B. C., Systems Analysis and Simulation in Ecology, Vol. 2, Academic Press, New York, 1972.

    Google Scholar 

  • Watt, K. E. F., Principles of Environmental Science, McGraw-Hill, New York, 1973.

    Google Scholar 

Computers In Biology, Medicine

  • Ledley, R. S., Use of Computers in Biology and Medicine, McGraw-Hill, New York, 1965.

    Google Scholar 

  • Stacy, R. W., and Waxman, B. D., Computers in Biomedicai Research, Vol. 1, Academic Press, New York, 1965.

    Google Scholar 

  • Stacy, R. W., and Waxman, B. D., Computers in Biomedicai Research, Vol. 2, Academic Press, New York, 1965.

    Google Scholar 

  • Sterling, T. D., and Pollack, S. V., Computers and the Life Sciences, Columbia University Press, New York, 1965.

    Google Scholar 

  • Li, J. C. R., Numerical Analysis, Edwards Brothers, Ann Arbor, 1966.

    Google Scholar 

  • Röpke, H., und Riemann, J., Analogcomputer in Chemie und Biologie, Eine Einführung, Springer-Verlag, Berlin, 1969.

    Book  Google Scholar 

  • Fraser, A., and Burnell, D., Computer Models in Genetics, McGraw-Hill, New York, 1970.

    Google Scholar 

  • Davies, R. G., Computer Programming in Quantitative Biology, Academic Press, New York, 1971.

    Google Scholar 

  • Epidemic Simulation for Students in Medicine, Center for Environmental Quality Management, 302 Hollister Hall, Cornell University, Ithaca, N.Y., 1972.

    Google Scholar 

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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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  • DOI: https://doi.org/10.1007/978-3-642-45455-4_36

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