Amyloid-β Peptide Structure in Aqueous Solution Varies with Fragment Size Olivia Wise-Scira1, Liang Xu1, Taizo Kitahara1, George Perry2, Orkid Coskuner1,2*, 1 The University of Texas at San Antonio, Department of Chemistry, One UTSA Circle, San Antonio, Texas 78249 and 2The University of Texas at San Antonio, Neurosciences Institute, One UTSA Circle, San Antonio, Texas 78249 Email: orkid.coskuner@utsa.edu (a) (b) (c) Figure S1. The calculated intra-molecular interactions of the (a) Aβ16, (b) Aβ28 and (c) Aβ42 peptides. The color scale corresponds to the probability (P) of the distance between any two heavy atoms of the two residues being ≤ 4.5 Å. 1 Peptide Aβ16 Aβ28 Aβ42 Secondary Structure A B - Basin I α-helix 7.7% 7.6% 310-helix 7.6% 8.0% β-sheet 1.6% 1.9% Turn 21.0% 21.6% Coil 62.0% 60.9% Secondary Structure A α-helix B Basin IA Basin IB 16.9% 12.1% 23.4% 310-helix 9.9% 7.4% 10.5% β-sheet 1.3% 2.8% 0.7% Turn 24.2% 25.9% 23.1% Coil 47.4% 51.7% 41.9% Secondary Structure A α-helix B Basin IA Basin IB 15.0% 10.0% 21.5% 310-helix 10.7% 9.1% 9.5% β-sheet 3.0% 6.2% 1.1% Turn 30.0% 41.6% 28.2% Coil 40.9% 32.4% 39.6% Table S1. The average secondary structure abundances of Aβ16, Aβ28 and Aβ42 using (A) all converged structures and (B) structures located in basin I and basins IA and IB for each peptide (Figure 4). The abundance of π-helix is not displayed. Figure S2. Probability distribution of Rg for the Aβ16 (black), Aβ28 (red) and Aβ42 (blue) peptides. The probability is based on the number of structures using a bin of 0.1 Å. 2 Before calculating the PMF surfaces of each peptide, we first calculated the probability distribution of Rg (Fig. S2). All three peptides adopt conformations that vary in the degree of compactness but this variation is larger for Aβ28. The calculated average Rg values are 8.8±1.1 Å, 11.2±1.5 Å and 12.1±1.6 Å for Aβ16, Aβ28 and Aβ42, respectively. The Rg value for Aβ42 is in agreement with previously reported Rg values including those by Baumketner et al., Lee and Ham, and Ball et al.1-3 In order to verify the convergence in our PMF calculations, the PMF values were calculated based on Rg and RE-E values using different simulation times (Figure S3). These results show similar trends and further indicate that the PMF is converged. (a) (b) Figure S3. PMF surfaces based on RE-E and Rg values of the Aβ42 peptide using the converged structures from the first (a) 90 ns and (b) 95 ns of our simulations time. (a) (b) Figure S4. The simulated (a) α-helix and (b) β-sheet abundances and their associated Gibbs free energies (G) using the harmonic approximation of the Aβ42 peptide structures. No clear trend is obtained between the secondary structure abundances and G. 3 The α-helix and β-sheet abundances of the structures of Aβ42 do not show dependence with increasing or decreasing conformational G values (Figure S3). The α-helix and β-sheet abundances of the structures of Aβ16 do not show a clear trend with the magnitude of the corresponding G values neither. Basin I 7.6 8.0 1.9 21.6 60.9 Basin II 7.9 8.0 1.3 20.6 62.2 Basin III 5.3 8.2 1.5 17.4 67.5 α-helix (%) 310-helix (%) β-sheet (%) Turn (%) Coil (%) Table S2a. The secondary structure probabilities of the Aβ16 structures located in basin I, basin II, basin III (see Figure 4). The abundance of π-helix is not displayed. Basin IA 12.1 7.4 2.8 25.9 51.7 Basin IIA 11.0 10.0 2.0 27.1 49.6 Basin IIIA 12.0 11.5 1.3 26.9 49.3 Basin IB 23.4 10.5 0.7 23.1 41.9 Basin IIB 20.1 11.0 0.7 23.0 45.0 Basin IIIB 15.0 10.6 0.4 20.9 52.9 α-helix (%) 310-helix (%) β-sheet (%) Turn (%) Coil (%) Table S2b. The secondary structure probabilities of the Aβ28 structures located in basin IA, basin IIA, basin IIIA, basin IB, basin IIB, basin IIIB of the PMF surface (see Figure 4b). The abundance of π-helix is not displayed. Basin IA 10.0 9.1 6.2 32.4 41.6 Basin IIA 14.5 9.5 3.6 29.5 42.5 Basin IIIA 15.3 11.0 2.4 28.1 42.7 Basin IB 21.5 9.5 1.1 28.2 39.6 Basin IIB 15.8 11.4 2.6 30.3 39.7 Basin IIIB 15.2 11.1 2.9 29.5 41.0 α-helix (%) 310-helix (%) β-sheet (%) Turn (%) Coil (%) Table S2c. The secondary structure probabilities of the Aβ42 structures located in basin IA, basin IIA, basin IIIA, basin IB, basin IIB, basin IIIB (see Figure 4). The abundance of π-helix is not displayed. 4 (a) (b) Figure S5. The intra-molecular peptide interactions for the Aβ16 peptide structures located in (a) basin II and basin III of the PMF surface (Figure 4). The color scale corresponds to the probability (P) of the distance between the centers of mass of two residues being ≤ 9 Å. The interactions obtained for basin I are presented in Figure 6a. (a) (b) (c) (d) Figure S6. The intra-molecular peptide interactions for the Aβ28 structures located in (a) basin IIA, (b) basin IIIA, (c) basin IIB and (d) basin IIIB on the PMF surface (Figure 4). The color scale corresponds to the probability (P) of the distance between the centers of mass of two residues being ≤ 9 Å. The interactions for basins IA and IB are shown in Figures 6b and 6c, respectively. 5 (a) (b) (c) (d) Figure S7. The intra-molecular peptide interactions for the Aβ42 structures located in (a) basin IIA, (b) basin IIIA, (c) basin IIB and (d) basin IIIB on the PMF surface (Figure 4). The color scale corresponds to the probability (P) of the distance between the centers of mass of two residues being ≤ 9 Å. The interactions for basins IA and IB are shown in Figures 6d and 6e, respectively. Donor Acceptor Arg5 Glu3 Arg5 Lys16 (-COO-) Arg5 Glu11 Arg5 Asp1 Arg5 Asp7 Asp1 (-NH3+) Glu3 Lys16 Glu11 Lys16 Asp7 Lys16 Glu3 Lys16 Asp1 R(C-N) ≤ 4 Å R(C-N) ≤ 5 Å R(C-N) ≤ 6 Å (%) (%) (%) 100.0 48.3 36.1 26.6 3.2 2.4 2.2 1.1 0.9 0.6 100.0 58.0 51.3 34.2 4.7 3.2 3.8 1.6 1.5 1.1 100.0 86.3 76.8 51.8 7.7 3.6 4.5 1.8 1.9 1.2 Scheme S1. The formed salt bridges of Aβ16; R(C-N) is the distance between carboxylate C atom and the side-chain or N-terminus N atom. Representative Aβ16 structures with salt bridges are depicted along with table. The secondary structures by residue of Aβ16 are represented by the following colors: α-helix (blue), 310-helix (gray), π-helix (purple), β-sheet (red), β-bridge (black), turn (yellow), coil (white). 6 Donor R(C-N) ≤ 4 Å R(C-N) ≤ 5 Å R(C-N) ≤ 6 Å (%) (%) (%) Acceptor Glu3 Arg5 Asp1 Arg5 Glu11 Arg5 Arg5 Glu22 Glu11 Lys16 Lys16 Asp23 Arg5 Asp7 Arg5 Asp23 Arg5 Lys28 (-COO-) Asp7 Lys16 Asp1 Lys16 Glu3 Lys16 Asp1 (-NH3+) Glu3 Asp7 Lys28 100.0 52.6 41.9 25.3 6.8 6.4 5.1 4.9 2.2 2.1 1.6 1.3 0.8 0.8 100.0 60.9 59.8 33.9 11.9 8.7 6.8 5.9 2.7 3.1 3.1 2.3 1.2 1.4 100.0 92.0 90.7 49.9 14.2 9.2 11.5 8.8 4.0 3.6 3.3 2.7 1.7 1.5 Scheme S2. The formed salt bridges of Aβ28; R(C-N) is the distance between carboxylate C atom and the side-chain or N-terminus N atom. Representative Aβ28 structures with salt bridges are depicted along with table. The secondary structures by residue of Aβ28 are represented by the following colors: α-helix (blue), 310-helix (gray), π-helix (purple), β-sheet (red), β-bridge (black), turn (yellow), coil (white). Donor Acceptor Glu3 Glu11 Arg5 Asp1 Arg5 Arg5 Lys16 Lys28 Glu11 Lys16 Asp7 Asp1 Arg5 Arg5 Ala42 (-COO-) Arg5 Asp23 Glu22 Glu22 Ala42 (-COO-) Lys16 Asp23 Lys16 Lys16 R(C-N) ≤ 4 Å R(C-N) ≤ 5 Å R(C-N) ≤ 6 Å (%) (%) (%) 100.0 65.5 31.8 31.2 27.9 10.3 4.5 3.4 2.4 1.4 0.8 0.7 100.0 84.6 37.1 33.0 30.4 11.7 8.0 4.9 4.9 4.1 1.3 1.0 100.0 100.0 55.3 56.1 45.3 17.4 9.9 5.6 6.4 9.4 1.7 1.1 Scheme S3. The formed salt bridges of Aβ42; R(C-N) is the distance between carboxylate C atom and the side-chain or N-terminus N atom. Representative Aβ42 structures with salt bridges are depicted along with table. The secondary structures by residue of Aβ42 are represented by the following colors: α-helix (blue), 310-helix (gray), π-helix (purple), β-sheet (red), β-bridge (black), turn (yellow), coil (white). Salt bridge formations in the Asp1-Lys16 region of Aβ16 and Aβ28 are similar (Schemes S1 and S2) except for the more abundant Arg5-Asp1 and Lys16-Glu11 salt bridges in Aβ28. The Arg5 and Asp1 or 7 Glu11 salt bridges are more stable in Aβ42 than in Aβ16 (Schemes S1 and S3). In comparison to Aβ16 and Aβ28, the Aβ42 peptide structures do not form salt bridges between Arg5 and Asp7, the N-terminus and Glu3, and Lys16 and Glu3 or Glu22. Furthermore, the Arg5-Glu11 and Arg5-Asp23 salt bridge abundances increase by 20-30% for Aβ42 in comparison to Aβ28. Despite, the Asp1-Arg5 and Arg5Glu22 salt bridge abundances decrease by 20-30% for Aβ42 in comparison to the Aβ28 peptide structures (Schemes S1-S3). These reported salt bridge formations are in partial agreement with the results for the Ala21-Ala30 region reported by Yang and Teplow by REMD simulations using an implicit water model.4 Donor Acceptor Basin I (%) Basin II (%) Basin III (%) Arg5 Arg5 Arg5 Arg5 Arg5 Asp1-NH3+ Lys16 Lys16 Lys16 Lys16 Glu3 Lys16-COOGlu11 Asp1 Asp7 Glu3 Glu11 Asp7 Glu3 Asp1 100.0 100.0 24.6 10.1 1.4 2.1 0.8 0.3 1.1 0.3 100.0 22.1 41.0 32.6 4.7 2.5 2.3 1.2 0.7 0.5 89.3 21.3 38.2 37.6 5.9 3.2 3.0 0.9 1.9 0.2 Table S3a. The salt bridges for the Aβ16 structures located in basin I, basin II and basin III for a R(CN) distance of ≤ 4 Å (see Figure 4). 8 Donor Acceptor Basin IA (%) Basin IIA (%) Basin IIIA (%) Arg5 Arg5 Arg5 Arg5 Lys16 Lys16 Arg5 Arg5 Arg5 Lys16 Lys16 Lys16 Asp1-NH3 Lys28 Glu3 Asp1 Glu11 Glu22 Glu11 Asp23 Asp7 Asp23 Lys28-COOAsp7 Asp1 Glu3 Glu3 Asp7 100.0 21.8 14.8 65.4 5.8 16.6 1.6 15.3 0.9 0.2 0.8 1.7 0.6 2.4 100.0 20.8 17.4 53.2 7.5 12.5 5.1 10.5 7.7 1.5 2.3 1.0 1.0 1.7 100.0 22.6 31.7 43.3 6.9 6.4 9.8 6.5 14.9 0.3 2.5 0.3 0.9 1.9 Donor Acceptor Basin IB (%) Basin IIB (%) Basin IIIB (%) Arg5 Arg5 Arg5 Arg5 Lys16 Lys16 Arg5 Arg5 Arg5 Lys16 Lys16 Lys16 Asp1-NH3+ Lys28 Glu3 Asp1 Glu11 Glu22 Glu11 Asp23 Asp7 Asp23 Lys28-COOAsp7 Asp1 Glu3 Glu3 Asp7 75.8 80.9 62.4 5.2 7.1 3.9 0.4 2.3 1.1 1.0 0.4 - 77.7 70.9 56.3 5.1 6.8 2.0 5.7 0.5 3.4 1.5 1.6 0.8 - 73.1 61.6 51.9 3.0 6.4 0.8 9.2 2.8 2.6 1.6 2.3 - Table S3b. The formed salt bridges for the Aβ28 structures located in basin IA, basin IIA, basin IIIA, basin IB, basin IIB and basin IIIB for a R(C-N) distance of ≤ 4 Å (see Figure 4). 9 Donor Acceptor Basin IA (%) Basin IIA (%) Basin IIIA (%) Arg5 Arg5 Arg5 Arg5 Arg5 Arg5 Lys16 Lys28 Lys16 Lys16 Lys16 Lys16 Glu3 Glu11 Ala42-COOAsp1 Asp23 Glu22 Glu22 Ala42-COOGlu11 Asp23 Asp7 Asp1 100.0 0.8 100.0 0.4 0.1 0.1 6.6 3.4 - 100.0 13.5 74.8 5.4 3.9 2.8 2.1 8.5 4.4 0.1 0.7 0.7 100.0 36.6 37.2 29.2 4.3 6.8 6.6 3.8 3.9 0.2 1.5 3.5 Donor Acceptor Basin IB (%) Basin IIB (%) Basin IIIB (%) Arg5 Arg5 Arg5 Arg5 Arg5 Arg5 Lys16 Lys28 Lys16 Lys16 Lys16 Lys16 Glu3 Glu11 Ala42-COOAsp1 Asp23 Glu22 Glu22 Ala42-COOGlu11 Asp23 Asp7 Asp1 100.0 100.0 1.3 31.5 3.2 2.3 0.4 1.1 3.7 87.6 97.1 41.9 48.3 16.7 4.5 1.2 1.5 2.3 1.0 0.5 87.6 65.0 58.4 15.5 8.2 11.3 2.5 1.6 1.0 0.8 0.2 Table S3c. The formed salt bridges for the Aβ42 structures located in basin IA, basin IIA, basin IIIA, basin IB, basin IIB and basin IIIB of the PMF surface for a R(C-N) distance of ≤ 4 Å (see Figure 4). The probabilities of the salt bridges between Arg5 and Asp1, Glu11, Glu22, or Asp23 in Aβ28 decrease with increasing PMF values (Fig. 4 and Table S3). The salt bridges between Arg5 and Glu11 or Ala42 in Aβ42 show a decrease in probability with increasing PMF value (Fig. 4 and Table S3). The Asp1Lys16 region of Aβ28 shows salt bridge formation between Arg5 and Asp1 or Glu11 with a larger stability in comparison to those in Aβ16 (Table S3). In parallel, these salt bridges have also a larger stability in the Asp1-Lys16 region of Aβ42 than in the Aβ16 and Aβ28 (Table S3). 1. M. T. Bowers, A. Baumketner, S. L. Bernstein, T. Wyttenbach, G. Bitan, D. B. Teplow and J. E. Shea, Protein Sci 15 (3), 420-428 (2006). 2. S. Ham and C. Lee, J Comput Chem 32 (2), 349-355 (2011). 3. T. Head-Gordon, K. A. Ball, A. H. Phillips, P. S. Nerenberg, N. L. Fawzi and D. E. Wemmer, Biochemistry-Us 50 (35), 7612-7628 (2011). 4. D. B. Teplow and M. F. Yang, J Mol Biol 384 (2), 450-464 (2008). 10