Supplementary data The complex and specific pMHC interactions with diverse HIV-1 TCR clonotypes reveal a structural basis for alterations in CTL function Zhen Xia1,ǂ, Huabiao Chen2,ǂ, Seung-gu Kang1, Tien Huynh1, Justin W. Fang2, Pedro A. Lamothe2, Bruce D. Walker2,3*, and Ruhong Zhou1,4* 1Computational Biology Center, IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA 2Ragon Institute of Massachusetts General Hospital, Massachusetts Institute of Technology, and Harvard University, Cambridge, Massachusetts, USA 3Howard Hughes Medical Institute, Chevy Chase, Maryland, USA 4Department ǂThese of Chemistry, Columbia University, New York, New York, USA authors contributed equally to this work. *Correspondence should be addressed to B.D.W. (bwalker@partners.org) or R.Z. (ruhongz@us.ibm.com) Note 1 for the clonetype B6: Our FEP calculations also support this relatively weak antiviral efficacy of the clonotype B6, with binding affinities severely decreased by either the R2T (ΔΔG = 6.89 ± 1.20 kcal/mol) or R2TL6M (ΔΔG = 4.84 ± 0.86 kcal/mol) mutantations, largely due to destruction of the hydrogen-bond network at the N-terminus of KK10 peptide (Supplementary Fig. 4). The more conservative mutation L6M slightly increases the binding affinity by ΔΔG = -1.37 ± 0.82 kcal/mol (Supplementary Table 1), in which an additional hydrogen bond is formed between the KK10 peptide (Asn9) and the CDR3β of the TCR (Gly100) in the L6M mutant (Supplementary Fig. 4a). However, the overall binding may not be sufficiently enhanced even with this favorable mutation due to the absense of a compact hydrophobic core inherited from the WT KK10 peptide, likely resulting in the weak antiviral efficacy overall. Note 2 for the clonetype B6: Similarly, the binding affinity changes of alanine mutants in B6 clone are very close to those in vivo mutants (Supplementary Fig. 7). Again, L6A shows a slightly stronger binding (ΔΔG = -1.62 ± 0.67 kcal/mol), which is partly due to the same new hydrogen bond formed between the KK10 peptide (Asn9) and the CDR3β of the TCR (Gly100) as in L6M mutant, and partly due to an “induced-fit” for neighboring hydrophobic residues Ile5 in KK10 peptide and Val97 at the CDR3α of the TCR because of the relatively smaller size of alanine (Supplementary Fig. 7a). Note 3 for free energy perturbation protocol details The binding affinity changes, due to antigenic variations, between the TCR and HLAKK10 complex were estimated by the free energy perturbation (FEP) method (111). The binding free energy change G due to a mutation in the KK10 of the HLAKK10 binary complex can then be calculated as, G kT ln exp( [V ( ) V ( )] G G (1) (2) where V(λ) = (1- λ) V1 + λ V2, and V1 represents the potential energy of the wild-type, and V2 represents the potential energy of the mutant. The FEP parameter λ changes from 0 (V1) to 1 (V2) when the system changes from the wild-type to the mutant, and <…> λ represents the ensemble average at potential V(λ). In general, it is difficult to directly calculate the absolute binding affinity change GA for the binding process between two interacting surfaces, like in the interface of the TCR and HLA-KK10 binary complex, due to the long time scale and complicated binding process. However, we can avoid this problem by designing a thermodynamic cycle to calculate a relative binding free energy change, i.e., GAB. Instead of calculating the difficult direct binding energies GA and GB, we calculate the free energy changes for the same mutation in both the bound state (HLA-KK10TCR 3-way binding complex, G1) and the free state (HLA-KK10 binary complex, G2). Within a complete thermodynamic cycle, the total free energy change should be zero, which gives the relative binding affinity due to the mutation from A→ B as: G bind G G G G B A 1 2 (3) For each mutation, at least five independent runs starting from different initial configurations (taken from the molecular dynamic simulations) are performed for better sampling. The simulation time for each FEP simulation is 6.0 ns. Larger window sizes and longer simulation durations have also been tested in our previous studies, and we found that the current protocol gives us a reasonable convergence in the final binding affinities (9, 10). Therefore, at least 60 ns (6.0-ns 5-runs 2states) simulation time was generated for each mutation, which is much longer than most FEP calculations currently reported in the literature. 1. 2. Das P, Li J, Royyuru AK, & Zhou R (2009) Free energy simulations reveal a double mutant avian H5N1 virus hemagglutinin with altered receptor binding specificity. J Comput Chem 30:1654-1663. Deng Y & Roux B (2006) Calculation of standard binding free energies: aromatic molecules in the T4 lysozyme L99A mutant. J Chem Theo Comp 2:1255-1273. 3. 4. 5. 6. 7. 8. 9. 10. 11. Jorgensen WL (1989) Free-energy calculations - a breakthrough for modeling organic-chemistry in solution. Accounts Chem Res 22(5):184-189. Kollman P (1993) Free-energy calculations - applications to chemical and biochemical phenomena. Chem. Rev. 93(7):2395-2417. Simonson T, Archontis G, & Karplus M (2002) Free energy simulations come of age: Protein-ligand recognition. Accounts Chem Res 35(6):430-437. 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Tables Supplementary Table 1: Align TCR α chain segment and β chain segment to known structures Supplementary Table 2: Sequence identities among clonotypes B3, B5, and B6 Clones α- chain β- chain B3 and B5 27% 32% B3 and B6 90% 24% B5 and B6 29% 31% Supplementary Table 3: The FEP simulation results for the TCR-KK10 binding free energy change due to the L6M, R2T, and R2TL6M mutants in viral peptide KK10a Calculated ΔΔG (kcal/mol) Mutants B3 clone B5 clone B6 clone L6M 0.81 ± 0.24 0.07 ± 0.30 -1.37 ± 0.82 R2T 7.88 ± 1.80 0.78 ± 1.21 6.89 ± 1.20 R2TL6M 13.17 ± 0.83 0.92 ± 0.95 4.84 ± 0.86 aA total of five independent runs has been performed for both the bound and free states for the standard error calculations. Supplementary Table 4: FEP simulation results for the predicted TCR-KK10 binding free energy change due to the L6A and R2A single mutations, and R2AL6A double mutation in viral peptide KK10a Calculated ΔΔG (kcal/mol) Mutants B3 clone B5 clone B6 clone L6A 0.50 ± 0.51 0.54 ± 0.61 -1.62 ± 0.67 R2A 8.13 ± 3.55 1.51 ± 2.32 7.47 ± 0.99 R2AL6A 9.71 ± 0.95 3.47 ± 0.38 5.86 ± 0.93 aA total of five independent runs has been performed for both the bound and free states for the standard error calculations with each running 6 ns. Supplementary Table 5: FEP simulation results for the predicted TCR-KK10 binding free energy change due to the L6M and R2T single mutations in viral peptide KK10. The initial wild-type structures were built based on the newly released HLA-KK10-TCR complex structure (PDB entry: 4G8G)a Calculated ΔΔG (kcal/mol) Mutants B3 clone B5 clone B6 clone L6M 0.53 ± 0.25 -0.11 ± 0.33 -1.19 ± 0.29 R2T 7.93 ± 0.82 1.14 ± 0.22 7.88 ± 0.87 aA total of five independent runs has been performed for both the bound and free states for the standard error calculations with each running 6 ns. Supplementary Figure legends: Supplementary Figure 1. Comparison of the structural stability during the simulations for WT viral peptide-HLA-TCR complexes. The plot shows The RMSD values of the HLA B*2705-KK10-TCR 3-way binding complex. The RMSD values are calculated by comparing each snapshot to the backbone of the starting built structures during molecular dynamics simulations. The results are obtained from NPT ensemble simulations (T=310 K, P=1 atm) with the simulation time of 50 ns. Four independent repeats are performed for each clonotype. (a) Complex with B3 clone. (b) Complex with B5 clone. (c) Complex with B6 clone. Supplementary Figure 2. Structural comparison of HLA B*2705-KK10-TCR complexes due to in vivo occurring mutants in KK10 peptide for FW56 clone B5 (green, HLA; cyan, the HIV KK10 peptide; magenta, TCR). (a) L6M mutant. (b) R2T mutant. (c) and (d) R2TL6M double mutant. The overall complex is represented as cartoon and the residues at the binding site are rendered with spheres (non-polar interactions) or sticks (polar interactions). Supplementary Figure 3. Structural comparison of HLA B*2705-KK10-TCR complexes due to in vivo occurring mutants in KK10 peptide for FW56 clone B6 (green, HLA; cyan, the HIV KK10 peptide; magenta, TCR). (a) L6M mutant. (b) R2T mutant. (c) and (d) R2TL6M double mutant. The overall complex is represented as cartoon and the residues at the binding site are rendered with spheres (non-polar interactions) or sticks (polar interactions). Supplementary Figure 4. Structural comparison of HLA B*2705-KK10-TCR complexes responding to KK10 peptide variants R2A, L6A, and R2AL6A for FW56 clone B3 (green, HLA; cyan, the HIV KK10 peptide; magenta, TCR). The overall complex is represented as cartoon and the residues at the binding site are rendered with spheres (non-polar interactions) or sticks (polar interactions). Supplementary Figure 5. Structural comparison of HLA B*2705-KK10-TCR complexes responding to KK10 peptide variants R2A, L6A, and R2AL6A for FW56 clone B5 (green, HLA; cyan, the HIV KK10 peptide; magenta, TCR). The overall complex is represented as cartoon and the residues at the binding site are rendered with spheres (non-polar interactions) or sticks (polar interactions). Supplementary Figure 6. Structural comparison of HLA B*2705-KK10-TCR complexes responding to KK10 peptide variants R2A, L6A, and R2AL6A for FW56 clone B6 (green, HLA; cyan, the HIV KK10 peptide; magenta, TCR). The overall complex is represented as cartoon and the residues at the binding site are rendered with spheres (non-polar interactions) or sticks (polar interactions). Supplementary Figure 7. Structural comparison of different clonotypes bound to the KK10 peptide. The structures were built based on a new co-crystal structure with the same HLA-KK10 but a different TCR clonotype (PDB entry: 4G8G). The binding site and interactions at the N-terminus (a), the C-terminus (b), and the middle region (c) of KK10 peptide are rendered with spheres (non-polar interactions) or sticks (polar interactions) (green, HLA; cyan, HIV KK10 peptide; magenta, TCR). The overall complexes are represented as cartoons. Supplementary Figure 8. The salt-bridge distance between Lys1 (KK10) and Asp29 (TCR) in B3 clonotype during FEP simulations of R2T mutant. The distance was calculated between the nitrogen atom (NZ) at Lys side-chain and the carbon atom (CG) at Asp side-chain. The X-axis shows the FEP simulation process which gradually perturbed Arg (λ=0) to Thr (λ =1). Figure S1: Figure S2: Figure S3: Figure S4: Figure S5: Figure S6: Figure S7: Figure S8: