Abstract
In this talk we will survey some significant results, methods and trends in mathematical modeling, in an attempt to define some of the questions to be explored in this workshop. We are particularly concerned with the formal description of biological systems. The examples, however, will be primarily drawn from the mathematical literature. A large and counterproductive gap remains between mathematics and the other sciences. Certainly one goal of this workshop is to narrow that gap.
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References
Cucker, F. and Smale, S. (2002) On the mathematical foundations of learning, Bull. Amer. Math. Soc. 39, 1–50.
Fellmeth, B. (1981) Kinetic study of ionic currents in the crayfish giant axon using the voltage clamp technique, Ph.D. Dissertation, University of Hawaii.
Ganter, B. and Wille, R. (1999) Formal Concept Analysis, Springer-Verlag, Berlin.
Grossberg, S. (2000) Linking Mind to Brain: The Mathematics of Biological Intelligence, Notices Amer. Math. Soc. 47, 1361–1372.
Johnson, M. and Dean, R. (2001) Locally complete path independent choice functions and their lattices, Math. Soc. Sci. 42, 53–87.
Hethcote, H.W. (2000) The mathematics of infectious diseases, SIAM Rev. 42, 599–653.
Karp, R.M. (2002) Mathematical challenges in genomics and molecular biology, Notices Amer. Math. Soc. 49, 544–553.
Kopell, N. (2000) We Got Rhythm: Dynamical Systems of the Nervous System, Notices Amer. Math. Soc. 47, 6–16.
Lieb, E.H. and Yngvason, J. (1998) A guide to entropy and the second law of thermodynamics, Notices Amer. Math. Soc. 45, 571–581.
McNamara, J., Houston, A. and Collins, E. (2001) Optimality models in behavioural biology, SIAM Rev. 43, 413–466.
Neuhauser, C. (2001) Mathematical challenges in spatial ecology, Notices Amer. Math. Soc. 48, 1304–1314.
Sachs, H. (1964) Abzählung von Wäldern eines gegebenen Typs in regulären und biregulären Graphen, I, Publ. Math. Decebren 11, 119–134.
Yager, R. and Zadeh, L., eds. (1992) An Introduction to Fuzzy Logic Applications in Intelligent Systems, Kluwer Acad. Pub., Boston.
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Nation, J.B. (2003). Formal Descriptions of Developing Systems: An Overview. In: Nation, J., Trofimova, I., Rand, J.D., Sulis, W. (eds) Formal Descriptions of Developing Systems. NATO Science Series, vol 121. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0064-2_1
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DOI: https://doi.org/10.1007/978-94-010-0064-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1568-7
Online ISBN: 978-94-010-0064-2
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