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This thesis presents the first use of the Partition of Unity Method in quantifying\ud the spatio-temporal dynamics of a fluorescent protein targeted to\ud the chloroplast twin-arginine translocation pathway.\ud The fluorescence loss in photobleaching technique is applied in a modified\ud fashion to the measurement of substrate mobilities in the chloroplast\ud stroma. Our in vivo results address the two suggested protein targeting\ud mechanisms of membrane-binding before lateral movement to the translocon\ud and direct binding to the translocon.\ud A high performance computing C/C++ implementation of the Partition\ud of Unity Method is used to perform simulations of fluoresence loss\ud in photobleaching and allow a compelling comparison to photobleaching\ud data series. The implementation is both mesh-free and particle-less

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- 43Chapter 1. Introduction Stiness matrix The stiness matrix is used to calculate R jruhj2
- 66Chapter
- (2003). A particle-partition of unity method – Griebel and Schweitzer Part V: boundary conditions.
- as the loss in ﬂuorescence is account
- C C C C C A 1=2 is a norm on Wm;2( ). H1( ) is deﬁned to be the completion of the space C1( ) with respect to the
- C C C C C C C C C C C C C C C A Namingbasedonphysicalinterpretation Thegeneralformofadamped wave equation @2u @t2 + @u @t r (ru) = 0 gives rise to a “matrix dierential equation” (Zienkiewicz et al., 2006, p. 564) M¨ q + C˙ q + Kq + f
- contrast with a symmetric approximation in space. 192Bibliography RobertA.Adams.SobolevSpaces.,volume65ofPureandappliedmathematics; a series of monographs and textbooks. Academic Press, 1975.
- Disce Prodesse “Learn to
- (2005). Diusion on the endoplasmic Simulations of (an)isotropic reticulum membrane and FRAP diusion on curved biological (kernel-based particle method). surfaces.
- EMBO J, 18(11):2982–2990, 1999. doi:10.1093/emboj/18.11.2982. 6 Carole Dabney-Smith, Hiroki Mori, and Kenneth Cline. Oligomers of Tha4 organize at the thylakoid Tat translocase during protein transport.
- Essential cytoplasmic domains in
- Galerkin Method – Weak Formulation The Galerkin method approximates the solution of L(u) = f in
- Homann-Rohrer,TobiasA.Knoch,WaldemarWaldeck,andJörgLangowski. Analyzing intracellular binding and diusion with continuous ﬂuorescence photobleaching. Biophys J, 84(5):3353–3363, 2003. 29, 36 M. B. Walker, L. M. Roy, E. Coleman, R. Voelker, and A. Barkan.
- Latin motto of the University of Warwick (established 1965). N.B. Abbreviation for Latin phrase
- (2003). likely ﬁnite dierence with Wachsmuth
- M A number M 2 N used to denote the number of test
- Mass matrix The mass matrix is used to calculate R (uh)2 dx and takes the form shown below (Strang
- Name Example Dirichlet or essential b.c. u = f Neumann or natural b.c. @u @n = 0 Robin or generalized Neumann b.c. au + b@u @n = g Mixed combinations of the above The
- Point in polygon test The point in polygon test we use is the HackerShimrat Algorithm 112 (Hacker, 1962).
- Rayleigh-Ritz Method
- Shepard’sMethod
- Svedberg unit (S) Non-SIunitnamedforSwedishchemistTheodorSvedberg (1884-1971). One Svedberg is 1013 seconds. (see
- TatB and TatC form a functional and
- that may be called the “ﬁnite element equation” (Strang and Fix, 1973, p. 32), or “system equations” (Zienkiewicz et al.,
- (2000). Year Title Author(s)

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