Normal Mode Analysis Hemochromatosis

Hemochromatosis>>Task 9: Normal mode analysis

Short task description

Detailed description: Normal mode analysis

Protocol

A protocol with a description of the data acquisition and other scripts used for this task is available here.

General

<figtable id="comparison">

Table 1: HFE's structure from 1a6zC (green) superimposed with a different conformation from 1de4A (red). Each figure shows the comparison from a different angle.

</figtable>

We used the PDB structures 1a6z and 1de4 for our NMA. 1a6z represents HFE bound with Beta-2-Microglobulin only and 1de4 contains the whole TFR-HFE-B2M complex. We extracted HFE's conformations from these structures (chain C from 1a6z and chain A from 1de4). Both files contain the same 272 residues (26-297 within HFE's sequence). A comparison between the two showed that there are only minor differences in the conformation (cf. <xr id="comparison"/>) and almost all of them are within loop regions. TM-Score calculated an RMSD of only 1.602 and a TM-Score of 0.9607 for them.

For the NMA we used WEBnm@ and ElNemo<ref name="elnemo1">K. Suhre & Y.H. Sanejouand, ElNemo: a normal mode web-server for protein movement analysis and the generation of templates for molecular replacement. Nucleic Acids Research, 32, W610-W614, 2004.</ref><ref name="elnemo2">K. Suhre & Y.H. Sanejouand, On the potential of normal mode analysis for solving difficult molecular replacement problems. Acta Cryst. D vol.60, p796-799, 2004 © International Union of Crystallography.</ref>. Both webservers use the C-alpha atoms only for the normal mode calculations and thus could theoretically compute 816 (3N, N = 272) normal modes, though the first 6 are irrelevant as they represent the three simple translations and rotations of the whole protein. In addition to the normal modes they provide also features to compare normal mode motions with other conformations of the same protein or correlation analysis of different normal modes.

WEBnm@

The deformation energy scores computed by WEBnm@ are shown in <xr id="webnma_energy"/>. The first 6 modes (7-12) could be put into three groups: Mode 7-9 which have a very small score, 10 and 11 which have about double the score of 8/9, and Mode 12 which again doubles Mode 10's score. This suggests that the first three combine big motions while the latter three exhibit more and more smaller parts that move separately.

<figtable id="webnma_energy">

Table 2: Energy scores calculated by WEBnm@ for the normal modes 7-20 of 1a6zC.

Mode number	Energy score	Mode number	Energy score
7	416.65	14	4673.81
8	841.18	15	5862.82
9	849.58	16	6800.91
10	1436.11	17	8236.15
11	1899.61	18	7878.34
12	2981.09	19	8104.36
13	4518.38	20	9899.01

</figtable>

Modes

TODO: Describe motions... or watch this.

<figtable id="webnma_modes7to12">

Table 3: Visualization of the normal modes 7 to 12 for 1a6zC (by WEBnm@). The base structure of HFE is shown in green, the normal modes in red (C-alpha atoms only; shown as spheres and overlaid with a mesh). Each mode is shown from the side and front of the protein.

	Mode 7	Mode 8	Mode 9	Mode 10	Mode 11	Mode 12
	Mode 7 (front)	Mode 8 (front)	Mode 9 (front)	Mode 10 (front)	Mode 11 (front)	Mode 12 (front)

</figtable>

Correlation of motions

<figure id="webnma_correlation">

Figure 1: Matrix of the correlated motions for each of HFE's residues based on the normal modes computed by WEBnm@. Red areas are correlated motions, blue ones are anti-correlated, and white ones are non-correlated motions.

</figure>

<xr id="webnma_correlation"/> shows the correlated motions of all residues within 1a6zC based on the calculated normal modes. At first sight the matrix could be separated into two areas: 1-180 and 181-272. The first one could further be separated into 1-90 and 91-180. When adjusted for the missing residues (1-25) in the PDB file the regions would correspond to 26-115, 116-205, and 206-297 respectively. These numbers match the residues for HFE's alpha 1 (23-114), alpha 2 (115-205), and alpha 3 (206-297) domains<ref name="hfe-domains">http://www.uniprot.org/uniprot/Q30201</ref>. Though the differentiation in the 1-180 area is not that simple if you are not looking for three domains.

Conformation overlap

<figtable id="webnma_overlap">

Table 4: Single (left) and cumulative (right) overlap of the normal modes' motions (based on the structure from 1a6zC) with the alternative conformation of HFE from 1de4A.

</figtable>

We also compared the normal modes' motions with the conformation of HFE in 1de4A to see which of them could be important for the transition between the two conformations. The most notable modes are 18, 29, 30, 52, 72, and 113 (cf. <xr id="webnma_overlap"/>). Their cumulative overlap is 15.2 percent which is significantly above the median of 0.088 percent for all modes. The highest peak (~10 percent) is at mode 6 which is kind of strange as it suggests that a simple rotation would make up the single most notable part of the transition. Though you would think that such a rotation is part of aligning the structures in the first place. Altogehter the first 200 normal modes have a cumulative overlap of 66.8 percent.

It is also not surprising that most of the important modes are rather medium-to-high-frequency as the main differences between the two conformations are in the short loop regions and therefore should be caused by local motions instead of global ones. Another indication that mode 18 might be favored amongst the other modes is the drop in the energy score compared to those of mode 17 and 19 (cf. <xr id="webnma_energy"/>).

Atomic fluctuations

<figtable id="webnma_fluctuations">

Table 5: Atomic fluctuations based on the normal modes computed by WEBnm@. Shown as a plot (right) and mapped onto the structure (left). Color codes: red (2.0 and higher), orange (1.0 to 1.99), yellow (0.5 to 0.99), and green (below 0.5).

</figtable>

The normalized (sum up to 100) atomic fluctuations over all modes in 1a6zC are shown in <xr id="webnma_fluctuations"/>. The regions with the highest displacements are, unsurprisingly, almost exclusively loops. This suggests that the conformation of HFE is pretty fixed and does not change much during the protein's lifetime (cf. also <xr id="comparison"/>).

ElNemo

Modes

<figtable id="elnemo_modes7to12">

Table 6: Visualization of the normal modes 7 to 12 for 1a6zC (by ElNemo). The base structure of HFE is shown in green, the normal modes in red. Each mode is shown from the side and front of the protein.

	Mode 7	Mode 8	Mode 9	Mode 10	Mode 11	Mode 12
	Mode 7 (front)	Mode 8 (front)	Mode 9 (front)	Mode 10 (front)	Mode 11 (front)	Mode 12 (front)

</figtable>

Distance fluctuations

<xr id="elnemo_dist7to12"/> show the distance fluctuations of the C-alpha atoms for the modes 7 to 12. The two main domains MHC I and C1 seem to always move as one unit as the upper left and lower right corner are almost empty. While modes 8 to 11 are rather mixed the modes 7 and 12 bring either all parts closer together or move them farther away.

<figtable id="elnemo_dist7to12">

Table 7: Distance fluctuations of the C-alpha atoms for the modes 7 to 12 computed by ElNemo. Blue means an increase in distance and red a decrease.

	Mode 7	Mode 8	Mode 9	Mode 10	Mode 11	Mode 12

</figtable>

Conformation overlap

The cumulative overlap of the normal modes with the alternative conformation of HFE (1de4A) is shown in <xr id="elnemo_overlap"/>. In contrast to WEBnm@ it seems that ElNemo gives only a rough approximation of the overlap as we only get steps of 20 percent, but no discrete numbers for each mode. When compared to the previous results from WEBnm@ the only exact match is mode 29 and a close one with 51. Though a direct comparison might not be possible as we have seen that not all modes from ElNemo and WEBnm@ exhibit the same motions.

<figtable id="elnemo_overlap">

Table 8: Cumulative overlap between the normal modes' motions (for 1a6zC) and the alternative conformation of HFE (1de4A).

Mode number	Cumulative overlap
7	20.0
10	40.0
14	59.9
29	79.9
51	99.9

</figtable>

B-factors

<figtable id="elnemo_bfactors">

Table X: TODO.

</figtable>

ElNemo also calculates B-factors based on the first 100 normal modes for 1a6zC. Though the correlation coefficient is only 0.164 (based on the C-alpha atoms). There seems to be no significant tendency for under-/overprediction either (cf. <xr id="elnemo_bfactors"/>), but there can be several reasons for the low correlation, such as lower flexibility due to the crystallization or other atoms which are missing in the normal mode computation, but were present during crystallization.

Similar to the fluctuation results from WEBnm@ the regions with the highest B-factors are again the loop regions. Although the values and cutoffs cannot really be compared directly the orange and red regions in the structure seem to overlap pretty well for both methods.

Transferrin receptor protein 1 (TFR)

<figure id="tfr_fluctuations">

Figure: TODO.

</figure>

In addition to the NMA performed on HFE we also wanted to take a brief look at the effects of HFE on the normal modes of TFR. We computed the normal modes for the chains A (HFE), B (B2M), and C (TFR) of 1de4 and for the C chain only. The atomic fluctuations (computed by WEBnm@) for TFR are shown in <xr id="tfr_fluctuations"/>. In order to be able to compare the values we cut out the fluctuations for TFR from the complex (A+B+C chain) and re-normalized them to sum up to 100 (like the ones for the C chain do). The plot shows a decrease in the whole end region (610-756), the ligand binding region<ref name="tfr-ligand">http://www.uniprot.org/uniprot/P02786</ref>. Due to the reduced mobility in this region after binding to HFE the complex should be pretty stable. This demonstrates one of the functions of HFE: competing with other ligands that bind to TFR in order to reduce the iron transport.

References

<references/>