Biomathematics

This section was written by Kristina Voigt, GSE - National Research Center for Environment and Health, Institute of Biomathematics and Biometry, Neuheiberg, Germany. 

Walter, E., Identifiability of State Space Models. Lecture notes in "Biomathematics, Vol. 46. Springer-Verlag, Berlin and New York, 1982. 

MICHAEL LEVIN is President and CEO, Metropolitan Computing Corporation (MCC), East Hanover, New Jersey, specializing in process analytical instrumentation as well as data acquisition and control systems for tablet presses, mixers, roller compactors, and other equipment. Prior to forming MCC in 1985, he was a consultant to pharmaceutical companies such as Merck, Sandoz, and Warner-Lambert. A member of the American Association of Pharmaceutical Scientists, the International Society for Pharmaceutical Engineering, and the Biomedical Engineering Society, Dr. Levin received the Ph.D. degree (1985) in biomathematics from the University of Washington, Seattle. 

J- J. Tyson. The Belousov-Zhabotinskii Reaction, Lecture Notes in Biomathematics, vol 10. Springer-Verlag, New York, 1976. 

That is, the known methods do not work, as shown explicitly in N. Dubin, A Stochastic Model for Immunological Feedback in Carcinogenesis (Lecture Notes in Biomathematics Nr. 9 Springer, Berlin 1976). 

The macroscopic solutions are analyzed by H.W. Hethcote, in Mathematical Problems in Biology (Lecture Notes in Biomathematics 2 P.van den Driessche ed., Springer, Berlin 1974). 

R. Thomas, ed, Kinetic logic A Boolean approach to the analysis of complex regulatory systems, Lecture Notes in Biomathematics, Vol. 29, Springer-Verlag, Berlin, 507 pp. 

Biomathematics and statistics relate to many areas of toxicology. They deal with data analysis, the determination of significance, and the formulation of risk estimates and predictive models. 

Biomathematics and Statistics Scotland The Macaulay Institute Craigiebuckler, Aberdeen United Kingdom... 

Spencer M, Ferson S. 1998. Ecological risk assessment for structured populations. Setauket (NY) Applied Biomathematics. 

Nayfey, A. Perturbation Methods Wiley New York, 1973-38. Schmidt, S. Ortoleva, P. J. Chem, Phys . I98O, 72, 2733 39- Tyson, J. The Zhabotinskii Reaction Lecture Notes in Biomathematics Springer New York, 1976. 

Murray, J., Mathematical Biology, Vol. 19 of Biomathematics, Springer-Verlag, Berlin, 2nd ed., 1993. 

Laboratory of Applied Mathematics Department of Biomathematics Mt. Sinai School of Medicine Box 1012 NYC 10029 USA... 

University of Texas Health Center at Tyler Department of Epidemiology and Biomathematics 11937 U.S. Highway 271 Tyler, TX 75708-3154 USA... 

MD] J. A. J. Metz and O. Diekmann (1986), The dynamics of physiologically structured populations, in Lecture Notes in Biomathematics, vol. 68. Berlin Springer. 

Jim E. Riviere, Center for Chemical Toxicology Research and Pharmacokinetics Biomathematics Program, Carolina State University, Raleigh, NC, USA. (Jim Riviere ncsu.edu)... 

Ak akaya, H.R., 1998. RAMAS GIS Linking Landscape Data with Population Viability Analysis (version 3.0). Applied Biomathematics, Setauket, NY. 

Newton, C. M. (1980) Biomathematics in oncology modelling of cellular systems. Ann. Rev. Biophys. Bioeng. 9, 541. 

Strogatz, S. H. (1986) The Mathematical Structure of the Human Sleep-Wake Cycle. Lecture Notes in Biomathematics, Vol. 69. (Springer, New York). 

Jeon, J., Meza, R., Moolgavkar, S. H., and Luebeck, E. G. (2008). Evaluation of screening strategies for pre-maUgnant lesions using a biomathematical approach. Math Biosci 213, 56-70. 

Jihyoun Jeon, M.S., Ph.D. Staff Scientist, Program in Biostatistics and Biomathematics, Fred Hutchinson Cancer Research Center, Seatte, Washington... 

The radioligand not only has to satisfy this large array of demanding criteria, but also has to present pharmacokinetics that can be modelled biomathematically to deliver accurate binding parameters (e.g., binding potential). A particular administration protocol may be needed to achieve this aim, based on one, two or three separate injections of radioligand, usually at varied specific radioactivity. If the biomathematical model requires an arterial input function, information on the appearance of radioactive metabolites in plasma may be required in each PET experiment. 

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