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44348.591J / 7.81J / 9.531J Systems Biology
http://www.merlot.org/merlot/viewMaterial.htm?id=555004
This course introduces the mathematical modeling techniques needed to address key questions in modern biology. An overview of modeling techniques in molecular biology and genetics, cell biology and developmental biology is covered. Key experiments that validate mathematical models are also discussed, as well as molecular, cellular, and developmental systems biology, bacterial chemotaxis, genetic oscillators, control theory and genetic networks, and gradient sensing systems. Additional specific topics include: constructing and modeling of genetic networks, lambda phage as a genetic switch, synthetic genetic switches, circadian rhythms, reaction diffusion equations, local activation and global inhibition models, center finding networks, general pattern formation models, modeling cell-cell communication, quorum sensing, and finally, models for Drosophila development.Global Focus on Knowledge 2007 / the World of Mathematics
http://www.merlot.org/merlot/viewMaterial.htm?id=556042
2007 Summer Semester "the World of Mathematics״Mathematics has the history of more than 2,000 years. It is the field still studied actively today, and developments are made rapidly in. Profound nature of numbers and figures, structures of functions and spaces are discovered one after another, and now, Fermat's last theorem, which had been the mystery of 350 years, or Poincare conjecture left pending for 100 years are solved. Recent proceedings of mathematics is quite spectacular. Also, since it allows free thinking and has a wide versatility, mathematics is applied to fundamental science, engineering, economics, sociology, and other disciplines as the common language of science. Sometimes, mathematics has the power to change all over the sociey, as it did when the principle of computer was discovered. Mathematics cannot be divided artificially. However, we are accustomed to, for the sake of convenience, separate it into four fields; algebra, geometry, analysis and applied mathematics. Plus, mathematical science includes mathematics for practical applications to analyze natural and social phenomena In this lecture series, themes characteristic to each fields are discussed by the experts working internationally. They navigate you for your further studies, by focusing mathematics from a wide perspective. Mathematics students learn in the first and second grade would be the basis of further studies. These lectures are expected to provide you with an outlook for the future.Transportation and Spatial Modelling
http://www.merlot.org/merlot/viewMaterial.htm?id=591345
The objective is to get insight and practice in the design and use of mathematical models for the estimation of transport demand in the framework of major strategic transportation planning. The course consists of a number of lectures and several exercises. Study Goals: 1. Insight in the function of mathematical models in transportation and spatial planning; 2. Knowledge of theoretical backgrounds of models; 3. Knowledge of application areas of models; 4. Ability to develop one's own plan of analysis for model computations; 5. Ability to apply models on planning problems; 6. Ability to present outcomes of model computations..