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From Protein Structure to Function with Bioinformatics.pdf

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220 M.B. Kubitzki et al.periodic boundary conditions are often applied. In this way, the simulation systemdoes not have any surface. This, however, may lead <strong>to</strong> new artefacts if the moleculesartificially interact <strong>with</strong> their periodic images due <strong>to</strong> e.g. long-range electrostaticinteractions. These periodicity artefacts are minimized by increasing the size of thesimulation box. Different choices of unit cells, e.g., cubic, dodecahedral or truncatedoctahedral allow an optimal fit <strong>to</strong> the shape of the protein, and, therefore,permit a suitable compromise between the number of solvent molecules whilesimultaneously keeping the crucial protein-protein distance high.As the solvent environment strongly affects the structure and dynamics of proteins,water must be described accurately. Besides the introduction of implicit solventmodels, where water molecules are represented as a continuous mediuminstead of individual “explicit” solvent molecules (Still et al. 1990; Gosh et al.1998; Jean-Charles et al. 1991; Luo et al. 2002), a variety of explicit solvent modelsare used these days (e.g. Jorgensen et al. 1983). These models differ in thenumber of particles used <strong>to</strong> represent a water molecule and the assigned staticpartial charges, reflecting the polarity and, effectively, in most force fields, polarization.Because these charges are kept constant during the simulation, explicitpolarization effects are thereby excluded. Nowadays, several polarizable watermodels (and force fields) exist, see Warshel et al. (2007) for a recent review.In solving New<strong>to</strong>n’s equations of motion, the <strong>to</strong>tal energy of the system is conserved,resulting in a microcanonical NVE ensemble having constant particlenumber N, volume V and energy E. However, real biological subsystems of the sizestudied in simulations constantly exchange energy <strong>with</strong> their surrounding.Furthermore, a constant pressure P of usually 1 bar is present. To account for thesefeatures, algorithms are introduced which couple the system <strong>to</strong> a temperature andpressure bath (Anderson 1980; Nose 1984; Berendsen et al. 1984), leading <strong>to</strong> acanonical NPT ensemble.9.1.2 ApplicationsMolecular Dynamics simulations have become a standard technique in protein scienceand are routinely applied <strong>to</strong> a wide range of problems. Conformational dynamicsof proteins, however, is still a demanding task for MD simulations since functionalconformational transitions often occur at timescales of microseconds <strong>to</strong> secondswhich are not routinely accessible <strong>with</strong> current algorithms and computer power.9.1.2.1 Nuclear Transport Recep<strong>to</strong>rsDespite their computational demands, MD simulations have been successfullyapplied <strong>to</strong> study functional modes of proteins. As an illustration, we will discuss insome detail a recent study (Zachariae and Grubmüller 2006) that revealed a strikinglyfast conformational transition of the exportin CAS (Cse1p in yeast) from the

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