Applications to Life Sciences

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Appl. to Life Sciences: General

Batschelet, Edward. Introduction to Mathematics for Life Sciences, New York, NY: Springer-Verlag, 1976. Second Edition.

* Berg, H.C. Random Walks in Biology Princeton, NJ: Princeton University Press, 1983.

Burton, T.A., ed. Modeling and Differential Equations in Biology New York, NY: Marcel Dekker, 1980.

** Casti, John L. Alternate Realities: Mathematical Models of Nature and Man New York, NY: John Wiley, 1989.

Cook, Theodore A. The Curves of Life Mineola, NY: Dover, 1979.

* Cullen, Michael R. Mathematics for the Biosciences Boston, MA: Prindle, Weber and Schmidt, 1983.

*** Edelstein-Keshet, Leah. Mathematical Models in Biology Cambridge, MA: Random House, 1988.

Goel, Narenda S. and Richter-Dyn, Nira. Stochastic Models in Biology New York, NY: Academic Press, 1974.

** Levin, Simon A., ed. Studies in Mathematical Biology, Washington, DC: Mathematical Association of America, 1978. 2 Vols.

* Lotka, A.J. Elements of Mathematical Biology Mineola, NY: Dover, 1956.

** Marcus-Roberts, Helen and Thompson, Maynard, eds. Life Science Models New York, NY: Springer-Verlag, 1983. Modules in Applied Mathematics, Vol. 4.

*** Murray, J.D. Mathematical Biology New York, NY: Springer-Verlag, 1989.

* Oliveira-Pinto, F. and Conolly, B.W. Applicable Mathematics of Non-Physical Phenomena New York, NY: Halsted Press, 1982.

* Rubinow, S.I. Introduction to Mathematical Biology New York, NY: John Wiley, 1975.

Smith, J. Maynard. Mathematical Ideas in Biology New York, NY: Cambridge University Press, 1968.

Solomon, D.L. and Walter, C., eds. Mathematical Models in Biological Discovery New York, NY: Springer-Verlag, 1977.

** Tanur, Judith M., et al., eds. Statistics: A Guide to the Study of the Biological and Health Sciences San Francisco, CA: Holden-Day, 1977.

Appl. to Life Sciences: Ecology

Batschelet, Edward. Circular Statistics in Biology New York, NY: Academic Press, 1981.

* Cohen, Joel E. Food Webs and Niche Space Princeton, NJ: Princeton University Press, 1978.

DeAngelis, D.L.; Post, W.M.; and Travis, C.C. Positive Feedback in Natural Systems New York, NY: Springer-Verlag, 1986.

* Diamond, J.M. and Case, T.J., eds. Community Ecology New York, NY: Harper and Row, 1986.

* Dunn, G. and Everitt, B.S. An Introduction to Mathematical Taxonomy New York, NY: Cambridge University Press, 1982.

** Freedman, H.I. Deterministic Mathematical Models in Population Ecology New York, NY: Marcel Dekker, 1980.

* Gause, G.F. The Struggle for Existence Mineola, NY: Dover, 1971.

Gittins, R. Canonical Analysis: A Review with Applications in Ecology New York, NY: Springer-Verlag, 1985.

** Hallam, Thomas G. and Levin, Simon A., eds. Mathematical Ecology: An Introduction New York, NY: Springer-Verlag, 1986.

Kingsland, Sharon E. Modeling Nature: Episodes in the History of Population Ecology Chicago, IL: University of Chicago Press, 1985.

** Levin, Simon A.; Hallam, Thomas G.; and Gross, Louis J., eds. Applied Mathematical Ecology New York, NY: Springer-Verlag, 1989.

MacArthur, R.H. and Wilson, Edward O. The Theory of Island Biogeography Princeton, NJ: Princeton University Press, 1967.

** Mangel, Marc and Clark, Colin W. Dynamic Modeling in Behavioral Ecology Princeton, NJ: Princeton University Press, 1988.

May, Robert M. Stability and Complexity in Model Ecosystems, Princeton, NJ: Princeton University Press, 1974. Second Edition.

* May, Robert M., ed. Theoretical Ecology: Principles and Applications Boston, MA: Blackwell Science, 1976.

McKelvey, Robert W., ed. Environmental and Natural Resource Mathematics Providence, RI: American Mathematical Society, 1985.

Nobel, P. Biophysical Plant Physiology and Ecology New York, NY: W.H. Freeman, 1983.

*** Okubo, A. Diffusion and Ecological Problems: Mathematical Models New York, NY: Springer-Verlag, 1980.

Oster, George F. and Wilson, Edward O. Caste and Ecology in the Social Insects Princeton, NJ: Princeton University Press, 1978.

Pedley, T.J., ed. Scale Effects in Animal Locomotion New York, NY: Academic Press, 1977.

** Pielou, E.C. An Introduction to Mathematical Ecology, New York, NY: John Wiley, 1969, 1977. Second Edition.

Prusinkiewicz, Przemyslaw and Hanan, James. Lindenmayer Systems, Fractals, and Plants New York, NY: Springer-Verlag, 1989.

* Roughgarden, Jonathan. Theory of Population Genetics and Ecology: An Introduction New York, NY: Macmillan, 1979.

Roughgarden, Jonathan; May, Robert M.; and Levin, Simon A., eds. Perspectives in Ecological Theory Princeton, NJ: Princeton University Press, 1989.

Scudo, F. and Ziegler, J. The Golden Age of Theoretical Ecology New York, NY: Springer-Verlag, 1978.

* Smith, J. Maynard. Models in Ecology New York, NY: Cambridge University Press, 1978.

Tilman, D. Resource Competition and Community Structures Princeton, NJ: Princeton University Press, 1982.

Vincent, Thomas L. and Skowronski, Janislaw M., eds. Renewable Resource Management New York, NY: Springer-Verlag, 1981.

* Volterra, Vito. Lecons sur la theorie mathematique de la lutte pour la vie Paris: Gauthier-Villars, 1931.

Waite, T.D. and Freeman, N.J. Mathematics of Environmental Processes Lexington, MA: D.C. Heath, 1977.

Whittaker, R.H. Communities and Ecosystems, New York, NY: Macmillan, 1970, 1975. Second Edition.

Whittaker, R.H. and Levin, Simon A. Niche: Theory and Application New York, NY: Dowden, Hutchinson and Ross, 1975.

Appl. to Life Sciences: Epidemiology

Anderson, R.M. and May, Robert M., eds. Population Biology of Infectious Diseases New York, NY: Springer-Verlag, 1982.

** Anderson, R.M., ed. Population Dynamics of Infectious Diseases: Theory and Applications New York, NY: Chapman and Hall, 1982.

** Bailey, Norman T.J. The Mathematical Theory of Infectious Diseases and Its Applications, New York, NY: Macmillan, 1975. Second Edition.

* Frauenthal, J.C. Mathematical Modeling in Epidemiology New York, NY: Springer-Verlag, 1980.

Kleinbaum, D.G.; Kupper, L.L.; and Morgenstern, H. Epidemiologic Research: Principles and Quantitative Methods Belmont, CA: Lifetime Learning, 1982.

Appl. to Life Sciences: Genetics

Bulmer, M.G. The Mathematical Theory of Quantitative Genetics New York, NY: Clarendon Press, 1980.

Cavalli-Sforza, Luigi Luca and Feldman, M.W. Cultural Transmission and Evolution: A Quantitative Approach Princeton, NJ: Princeton University Press, 1981.

Charnov, E.L. The Theory of Sex Allocation Princeton, NJ: Princeton University Press, 1982.

* Christiansen, F.B. and Fenchel, T.M. Theories of Populations in Biological Communities New York, NY: Springer-Verlag, 1977.

** Crow, James R. and Kimura, Moto. An Introduction to Population Genetics Theory New York, NY: Harper and Row, 1970.

*** Ewens, W.J. Mathematical Population Genetics New York, NY: Springer-Verlag, 1979.

** Feldman, M.W., ed. Mathematical Evolutionary Theory Princeton, NJ: Princeton University Press, 1989.

Findley, A.M.; McGlynn, S.P.; and Findley, G.L. The Geometry of Genetics New York, NY: John Wiley, 1989.

* Gale, J.S. Theoretical Population Genetics London: Unwin Hyman, 1990.

Jacquard, Albert. The Genetic Structure of Populations New York, NY: Springer-Verlag, 1974.

Karlin, Samuel and Lessard, Sabin. Theoretical Studies on Sex Ratio Evolution Princeton, NJ: Princeton University Press, 1986.

* Mather, K. and Jinks, J.L. Biometrical Genetics New York, NY: Chapman and Hall, 1982.

Michod, R.E. and Levin, B.R., eds. The Evolution of Sex Sunderland, MA: Sinauer Associates, 1988.

Provine, W. The Origins of Theoretical Population Genetics Chicago, IL: University of Chicago Press, 1971.

** Smith, J. Maynard. Evolution and the Theory of Games New York, NY: Cambridge University Press, 1982.

* Suzuki, David T.; Griffiths, Anthony J.F.; and Lewontin, Richard C. An Introduction to Genetic Analysis, New York, NY: W.H. Freeman, 1976, 1986. Third Edition.

Appl. to Life Sciences: Population Biology

** Bartlett, M.S. Stochastic Population Models in Ecology and Epidemiology New York, NY: Methuen, 1960.

Bartlett, M.S. and Hiorns, R.W., eds. The Mathematical Theory of the Dynamics of Biological Populations New York, NY: Academic Press, 1973.

Brown, Robert L. Introduction to the Mathematics of Demography Winsted, CT: ACTEX Publications, 1991.

Ginzburg, L.R. and Golenberg, E.M. Lectures in Theoretical Population Biology Englewood Cliffs, NJ: Prentice Hall, 1985.

* Hassell, Michael P. The Dynamics of Arthropod Predator-Prey Systems Princeton, NJ: Princeton University Press, 1978.

* Hoppensteadt, Frank C. Mathematical Theories of Populations: Demographics, Genetics, and Epidemics Philadelphia, PA: Society for Industrial and Applied Mathematics, 1975.

*** Hoppensteadt, Frank C. Mathematical Methods of Population Biology New York, NY: Cambridge University Press, 1982.

Hutchinson, G.E. An Introduction to Population Ecology New Haven, CT: Yale University Press, 1978.

Impagliazzo, J. Deterministic Aspects of Mathematical Demography New York, NY: Springer-Verlag, 1985.

*** Keyfitz, Nathan and Beekman, John A. Demography Through Problems New York, NY: Springer-Verlag, 1984.

Keyfitz, Nathan. Introduction to the Mathematics of Population, Reading, MA: Addison-Wesley, 1968, 1977. Revised Edition.

* Keyfitz, Nathan. Applied Mathematical Demography New York, NY: John Wiley, 1977.

Lewis, E. Network Models in Population Biology New York, NY: Springer-Verlag, 1977.

** Ludwig, D. Stochastic Population Theories New York, NY: Springer-Verlag, 1974.

McDonald, N. Time Lags in Biological Models New York, NY: Springer-Verlag, 1978.

Metz, J.A.J. and Diekmann, O. The Dynamics of Physiologically Structured Populations New York, NY: Springer-Verlag, 1986.

Nisbet, R.M. and Gurney, W.S.C. Modelling Fluctuating Populations New York, NY: John Wiley, 1982.

* Pollard, J.H. Mathematical Models for the Growth of Human Populations New York, NY: Cambridge University Press, 1973.

** Smith, D.P. and Keyfitz, Nathan. Mathematical Demography New York, NY: Springer-Verlag, 1978.

Appl. to Life Sciences: Physiology

* Carson, E.R.; Cobelli, C.; and Finkelstein, L. The Mathematical Modeling of Metabolic and Endocrine Systems New York, NY: John Wiley, 1983.

Collins, R. and van der Werff, T.J. Mathematical Models of the Dynamics of the Human Eye New York, NY: Springer-Verlag, 1980.

* Glass, L. and Mackey, M.C. From Clocks to Chaos: The Rhythms of Life Princeton, NJ: Princeton University Press, 1988.

Holmes, Mark H. and Rubenfeld, Lester A., eds. Mathematical Modeling of the Hearing Process New York, NY: Springer-Verlag, 1981.

** Lighthill, Michael James. Mathematical Biofluiddynamics Philadelphia, PA: Society for Industrial and Applied Mathematics, 1975.

*** Mazumdar, J. An Introduction to Mathematical Physiology and Biology New York, NY: Cambridge University Press, 1989.

* McMahon, T. Muscles, Reflexes, and Locomotion Princeton, NJ: Princeton University Press, 1984.

Pavlidis, Theo. Biological Oscillators: Their Mathematical Analysis New York, NY: Academic Press, 1973.

Scott, Alwyn C. Neurophysics New York, NY: John Wiley, 1977.

** Segel, Lee A. Modeling Dynamic Phenomena in Molecular and Cellular Biology New York, NY: Cambridge University Press, 1984.

*** Segel, Lee A., ed. Mathematical Models in Molecular and Cellular Biology New York, NY: Cambridge University Press, 1980.

Strogatz, Steven H. The Mathematical Structure of the Human Sleep-Wake Cycle New York, NY: Springer-Verlag, 1986.

Thom, Rene. Structural Stability and Morphogenesis: An Outline of a General Theory of Models Redwood City, CA: Benjamin Cummings, 1975.

* Thom, Rene. Mathematical Models of Morphogenesis New York, NY: Halsted Press, 1983.

Thornley, J.H.M. Mathematical Models in Plant Physiology New York, NY: Academic Press, 1976.

Vogel, S. Life in Moving Fluids---The Physical Biology of Flow Princeton, NJ: Princeton University Press, 1983.

** Winfree, Arthur T. The Timing of Biological Clocks New York, NY: Scientific American Library, 1987.

* Winfree, Arthur T. The Geometry of Biological Time, New York, NY: Springer-Verlag, 1980, 1990. Second Edition.

Appl. to Life Sciences: Medicine

*** Bailar, John C. and Mosteller, Frederick, eds. Medical Uses of Statistics Waltham, MA: New England Journal of Medicine Books, 1986.

Banks, H.T. Modeling and Control in the Biomedical Sciences New York, NY: Springer-Verlag, 1975.

Cherruault, Y. Mathematical Modelling in Biomedicine: Optimal Control of Biomedical Systems Norwell, MA: D. Reidel, 1985.

Eisen, Martin M. Mathematical Models in Cell Biology and Cancer Chemotherapy New York, NY: Springer-Verlag, 1979.

* Glantz, Stanton A. Mathematics for Biomedical Applications Berkeley, CA: University of California Press, 1979.

* Herman, Gabor T. Image Reconstruction from Projections: The Fundamentals of Computerized Tomography New York, NY: Academic Press, 1980.

Ingram, D. and Bloch, R.F., eds. Mathematical Methods in Medicine, New York, NY: John Wiley, 1984. 2 Vols.

Iosifescu, M. and Tautu, P. Stochastic Processes and Applications in Biology and Medicine, New York, NY: Springer-Verlag, 1973. 2 Vols.

* Jacquez, J.A. Compartmental Analysis in Biology and Medicine, Ann Arbor, MI: University of Michigan Press, 1985. Second Edition.

Miller, Rupert G., Jr., et al., eds. Biostatistics Casebook New York, NY: John Wiley, 1980.

Natterer, F. The Mathematics of Computerized Tomography New York, NY: John Wiley, 1986.

* Shepp, Lawrence A. Computed Tomography Providence, RI: American Mathematical Society, 1983.

Swan, George W. Applications of Optimal Control Theory in Biomedicine New York, NY: Marcel Dekker, 1984.

Appl. to Life Sciences: Special Topics

Casti, John L. and Karlqvist, Anders, eds. Complexity, Language, and Life: Mathematical Approaches New York, NY: Springer-Verlag, 1986.

* Childress, Stephen. Mechanics of Swimming and Flying New York, NY: Courant Institute of Mathematical Sciences, 1977.

Gerstenhaber, Murray, et al., eds. Some Mathematical Questions in Biology, Providence, RI: American Mathematical Society, 1968--91. Vols. 1--18.

Hoppensteadt, Frank C., ed. Nonlinear Oscillations in Biology Providence, RI: American Mathematical Society, 1979.

Jager, W.; Rost, H.; and Tautu, P. Biological Growth and Spread: Mathematical Theories and Applications New York, NY: Springer-Verlag, 1980.

** Jagers, P. Branching Processes with Biological Applications New York, NY: John Wiley, 1975.

* Murray, J.D. Lectures on Nonlinear-Differential-Equation Models in Biology New York, NY: Clarendon Press, 1977.

Percus, J.K. Combinatorial Methods in Developmental Biology New York, NY: Courant Institute of Mathematical Sciences, 1977.

* Peskin, Charles S. Partial Differential Equations in Biology New York, NY: New York University Press, 1976.

Ricciardi, L.M. Diffusion Processes and Related Topics in Biology New York, NY: Springer-Verlag, 1977.


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