"... In PAGE 3: ...atabase by submitting to our server: http://parasol.tamu.edu/foldingserver/ 2 Related Work Protein Motion Models. Several computational approaches have been used to study protein motions and folding, see Table1 . These include lattice models [10], energy minimization [30, 44], molecular dynamics [29, 16], and Monte Carlo methods [13, 26].... ..."

"... In PAGE 10: ...2 Protein Structures Using PDB data, we tested our algorithm on proteins exhibiting a wide range of conformational changes. Our data set (see Table1 ) consists of all the proteins used in [22] to test similar algorithms. It also includes two additional proteins: adenosylcobinamide kinase, which undergoes shear motion, and HIV-1 protease, which undergoes a gradual, induced-fit type of motion.... ..."

"... In PAGE 3: ... Either way brings one to the entries. Thus far, the database has more than 120 entries, which refer to over 240 structures in the Protein Databank (PDB) ( Table2 ). (Further information about the public interface to the database is described in the caption to Figure 1 and at http://bioinfo.... In PAGE 7: ... Finally, a third motion involves another subunit motion (which is not linked to the allosteric transition) that allows the four reading head domains to bind sites on DNA with different spacing and curvature. A breakdown of the categorization of entries in the current database is given in Table2 . At the time of this writing (version 1.... ..."

"... In PAGE 11: ... The dried fermentation residues were broken up to pass through a 6- mm screen and mixed three times by the method of cone and quarter mix- ing. The dried and screened HDG (~32 kg) was available for poultry-feeding trials ( Table3 ). The supernatant from the centrifugation step and filtrate from the filter belt were not evaporated to form concentrated syrup to be added to the dried HDG to form HDGS because of lack of pilot-scale equip- ment to accomplish the evaporation step.... In PAGE 15: ...1.6 % (4). This variation is of some concern to animal feedlot operators. Table3 provides the increase in protein content as a result of the pre- treatment of DG with dilute H2SO4, followed by enzymatic hydrolysis and fermentation of the pretreated DG. The residual protein content in the HDG was found to increase from approx 33.... ..."

"... In PAGE 4: ... Change of speed is difference of current speed related to previous one. Table1 shows condition for segmentation of motion phase and event, which is used to automata input. Figure 6 shows partition example of motion phase.... ..."

"... In PAGE 5: ... Clearly, a 2-D motion model does not uniquely correspond to one 3-D model; identical 2-D motion models may result from di erent assumptions about 3-D motion, surface and camera projection models. Table1 summarizes some parametric models for 2-D motion and provides possible underlying assumptions. The rst four models are illustrated in Fig.... In PAGE 6: ...5 (a) (b) (c) (d) Figure 2: Examples of parametric motion vector elds (sampled) and corresponding motion-compensated predictions of a centered square: (a) translation; (b) a ne; (c) projective linear; and (d) quadratic. See Table1 for model descriptions. pable of describing arbitrary 2-D motion elds.... In PAGE 6: ... O -lattice vectors of the motion eld can be approximated by suitable interpolation of the sampled eld [65]. In general, the interpolation kernel H ( Table1 ) has a small support, such that a motion vector is usually interpolated from at most four samples. The frequently used bilinear inter- polation kernel is a tensor product of horizontal and vertical 1-D triangular kernels.... In PAGE 6: ... Therefore, it can be expected that such elds can be e ciently represented using linear transforms followed by zeroing of high frequency components. For example, the polynomial transform given in the last row of Table1... In PAGE 7: ... To capture these second-order e ects, each motion trajectory must be modeled explicitly. For example, it may be represented by two vectors: instantaneous velocity _ x and acceleration  x [13]: x( ) x(t) + _ x(t)( ? t) +  x(t) 2 ( ? t)2: (5) Such a temporal modeling can be applied in addition to the spatial modeling described thus far in Table1 . Although representation of motion trajectory elds rather than displacement elds is advantageous in certain applications, larger amounts of motion information must be processed and/or transmitted [13].... In PAGE 8: ...g., a ne; Table1... In PAGE 9: ...2.3 Motion of regions Between the two extremes above, one can nd methods that apply motion models from Table1 to image regions. The motivation is to insure a more accurate modeling (smaller approximation error (6)) of motion elds than in the global motion case and a reduced number of parameters in comparison with the dense motion.... In PAGE 10: ... Thus, a more general image partitioning is neces- sary. The reasoning is that for objects with su ciently smooth 3-D surface and 3-D motion, the induced 2-D motion elds in the image plane can be suitably described by models from Table1 if applied to the area of object projection. A natural image partitioning can be provided by the image acquisition process itself.... In PAGE 12: ... 4.a) for di erent regions of support: (a) block-based (16 16 blocks); (b) pixel-based (globally- smooth as in (17)); and (c,d) region-based with a ne motion model ( Table1 ). For details of the region-based algorithm, see [20].... ..."

"... In PAGE 5: ... However, the targets for miRNA and siRNA are the mRNAs and not the other ncRNAs. Several databases are now available consisting of wide range of ncRNAs ( Table1 ) and provide information about their sequences and functions. ... In PAGE 6: ...iRNAs that show high level of conservation. MiRSCAN (Lim et al., 2003) and MiRSeeker (Lai et al., 2003) are based on gene search Table1 : ncRNA Databases: NcRNAdb: non-coding regulatory RNA database http://biobases.... In PAGE 37: ... Protein interaction databases. Several databases, developed with the experimental results on PPIs, are listed in Table1 and discussed in [5,6]. Table 1.... In PAGE 42: ... Details of various secondary structural elements and their corresponding number of occurrences stored in the knowledgebase are given in Table 1. Table 1 Table1 . Occurrences of various secondary structural elements in 25% and 90% non-redundant chains.... ..."