منابع مشابه
Applied Mathematics MSc Projects 2016 – 2017
1. Theory of graph-theoretical data analysis: a series of possible projects on the conceptual and mathematical extensions of techniques for the representation of data as graphs, and the coarsegraining of such representations. These include topics such as: * time-varying networks and their partitions: detecting break points using multidimensional algorithms * development of notions of robustness...
متن کاملBiochemical kinetics in changing volumes.
The need of taking into account the change of compartment volume when developing chemical kinetics analysis inside the living cell is discussed. Literature models of a single enzymatic Michaelis-Menten process, glycolytic oscillations, and mitotic cyclin oscillations were tested with appropriate theoretical extension in the direction of volume modification allowance. Linear and exponential type...
متن کاملMathematics 6180, Spring 2017 Some Motivational Problems in Number Theory
Number theory may be loosely defined as the study of the integers: in particular, the interaction between their additive and multiplicative structures. However, modern number theory is often described as the study of such objects as algebraic number fields and elliptic curves, which we have invented in order to answer elementary questions about the integers. Therefore, an argument can be made t...
متن کاملNumerical Simulation for Biochemical Kinetics
In chemical systems formed by living cells, the small numbers of molecules of a few reactant species can result in dynamical behavior that is discrete and stochastic, rather than continuous and deterministic (McAdams & Arkin, 1999; McAdams & Arkin, 1997; Arkin et al., 1998; Elowitz et al., 2002; Fedoroff & Fontana, 2002). By “discrete”, we mean the integer-valued nature of small molecular popul...
متن کاملComputer Simulation of Biochemical Kinetics
The description of the kinetics of biochemical (and of course chemical) reactions can be made on two levels. At a basic, molecular, level a reacting chemical system can be described as an ensemble of particles that react on collision. Each pair of particles is assigned a probability for collision per unit time and volume. The evolution of the number of particles of each species is represented b...
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ژورنال
عنوان ژورنال: Reaction Kinetics, Mechanisms and Catalysis
سال: 2018
ISSN: 1878-5190,1878-5204
DOI: 10.1007/s11144-018-1382-4