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# MATEMATIK 112 PDF

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Since the kinetic properties of a system depend on the environment of the system as well as on its internal state, they are not held as structural.

Metabolic control analysis of any coupling systems requires non-linear simultaneous equations to be solved. Conservation relationships, which are principals of metabolic control analysis, are crucial to eliminate unwanted variables of such equations.

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Furthermore, they are structural properties of the system. Although ultimately a metabolic network consists of an entire cell or even an entire organism, some degree of isolation is needed in order to analyze it.

This analysis has been developed and elaborated by Kacser and Burn [6] and independently by Heinrich and Rapoport [4]. Reder [7] has emphasized on the structural properties of metabolic networks. The advantages of this approach lies of course in the fact that structure of the metabolic networks depends neither on the environment nor on the internal state of the system.

Later, using computer algebra technique, Bayram [1,2] has developed a computer program which analyses controls of metabolic control analysis both in symbolic and numeric forms. Computer algebra systems Computers are usually used to manipulate numbers. However, they can just as work with other symbols such as algebraic variables.

Computer algebra systems such as MAPLE can perform numerical computations, manipulate symbolic expressions and plot graphs. They use exact algebraic techniques rather than using the approximation methods of numerical analysis. Computer algebra systems accept their input in a quasi-mathematical notation that is simple to use and remember.

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Furthermore, they can give general expressions as an answer in addition to numerical values. To construct conservation rela- tionships of the system, we have used the linear algebra package of MAPLE to perform matrix operations. Method A mathematical analysis of a metabolic network is necessary if a compre- hensive and quantitative description is needed. Construction of mathematical model Consider a metabolic network whose mathematical representation we wish to construct and suppose that its state is entirely described by the data of several quantities such as metabolite concentrations, pressure, temperature etc.

These are internal variables and external parameters. Journal of Biological Education, 36 4 Gibbons, M. Engineering by the numbers. American Society for Engineering Education. Washington DC. Harel, I.

Children designers: Interdisciplinary constructions for learning and knowing mathematics in a computer-rich school. Norwood, NJ: Ablex Publishing.

Kafai, Y. The classroom as living laboratory: design-based research for understanding, comparing, and evaluating learning science through design. Educational Technology, 45 1 , Karahan, E.

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Journal of Science Education and Technology, 24 1 , Lambert, N. Introduction: Learner-centered schools and classrooms as a direction for school reform. McCombs Eds.

LeCompte, M. Ethnography and qualitative design in educational research 2nd ed. Lester, B. Social activism in elementary science education: A science, technology, and society approach to teach global warming.

International Journal of Science Education, 28 4 , Liu, M. Enhancing learners' cognitive skills through multimedia design.

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Bayram, Automatic analysis of the control of metabolic networks, Computers Biol. Bayram, Computer algebra approaches to enzyme kinetics, Ph. Formelsamling for matematik - Android app data, rankings

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