Abstract
The role of knots in proteins remains elusive. Some studies suggest an impact on stability; the difficulty in comparing systems to assess this effect, however, has been a significant challenge. In this study, we produced and analyzed molecular dynamic trajectories considering three different temperatures of two variants of ornithine transcarbamylase (OTC), only one of which has a 31 knot, in order to evaluate the relative stability of the two molecules. RMSD showed equilibrated structures for the produced trajectories, and RMSF showed subtle differences in flexibility. In the knot moiety, the knotted protein did not show a great deal of fluctuation at any temperature. For the unknotted protein, the residue GLY243 showed a high fluctuation in the corresponding moiety. The fraction of native contacts (Q) showed a similar profile at all temperatures, with the greatest decrease by 436 K. The investigation of conformational behavior with principal component analysis (PCA) and dynamic cross-correlation map (DCCM) showed that knotted protein is less likely to undergo changes in its conformation under the conditions employed compared to unknotted. PCA data showed that the unknotted protein had greater dispersion in its conformations, which suggests that it has a greater capacity for conformation transitions in response to thermal changes. DCCM graphs comparing the 310 K and 436 K temperatures showed that the knotted protein had less change in its correlation and anti-correlation movements, indicating stability compared to the unknotted.
Graphical abstract
Similar content being viewed by others
Data availability
The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
Code availability
Not applicable.
References
Richardson JS (1977) β-Sheet topology and the relatedness of proteins. Nature 268:495–500. https://doi.org/10.1038/268495a0
Mansfield ML (1994) Are there knots in proteins? Nat Struct Biol 1:213–214. https://doi.org/10.1038/nsb0494-213
Sułkowska JI, Rawdon EJ, Millett KC et al (2012) Conservation of complex knotting and slipknotting patterns in proteins. Proc Natl Acad Sci 109:E1715–E1723. https://doi.org/10.1073/pnas.1205918109
Dabrowski-Tumanski P, Stasiak A, Sulkowska JI (2016) In search of functional advantages of knots in proteins. PLoS ONE 11:1–14. https://doi.org/10.1371/journal.pone.0165986
Dabrowski-Tumanski P, Sulkowska JI (2017) Topological knots and links in proteins. Proc Natl Acad Sci 114:3415–3420. https://doi.org/10.1073/pnas.1615862114
Xu Y, Li S, Yan Z et al (2018) Stabilizing effect of inherent knots on proteins revealed by molecular dynamics simulations. Biophys J 115:1681–1689. https://doi.org/10.1016/j.bpj.2018.09.015
Berman HM, Westbrook J, Feng Z et al (2000) The protein data bank. Nucleic Acids Res 28:235–242. https://doi.org/10.1093/nar/28.1.235
Perlinska AP, Stasiulewicz A, Nawrocka EK et al (2020) Restriction of S-adenosylmethionine conformational freedom by knotted protein binding sites. PLoS Comput Biol 16:e1007904. https://doi.org/10.1371/journal.pcbi.1007904
Zhao Y, Dabrowski-Tumanski P, Niewieczerzal S, Sulkowska JI (2018) The exclusive effects of chaperonin on the behavior of proteins with 52 knot. PLoS Comput Biol 14:e1005970. https://doi.org/10.1371/journal.pcbi.1005970
Sułkowska JI, Noel JK, Onuchic JN (2012) Energy landscape of knotted protein folding. Proc Natl Acad Sci 109:17783–17788. https://doi.org/10.1073/pnas.1201804109
Wang L-W, Liu Y-N, Lyu P-C et al (2015) Comparative analysis of the folding dynamics and kinetics of an engineered knotted protein and its variants derived from HP0242 of Helicobacter pylori. J Phys Condens Matter 27:354106. https://doi.org/10.1088/0953-8984/27/35/354106
Flapan E, He A, Wong H (2019) Topological descriptions of protein folding. Proc Natl Acad Sci USA 116:9360–9369. https://doi.org/10.1073/pnas.1808312116
Sulkowska JI (2020) On folding of entangled proteins: knots, lassos, links and θ-curves. Curr Opin Struct Biol 60:131–141. https://doi.org/10.1016/j.sbi.2020.01.007
Begun A, Liubimov S, Molochkov A, Niemi AJ (2021) On topology and knotty entanglement in protein folding. PLoS ONE 16:e0244547. https://doi.org/10.1371/journal.pone.0244547
Barbensi A, Goundaroulis D (2021) f-distance of knotoids and protein structure. Proc R Soc A 477:20200898. https://doi.org/10.1098/rspa.2020.0898
Sriramoju MK, Chen Y, Lee Y-TC, Hsu S-TD (2018) Topologically knotted deubiquitinases exhibit unprecedented mechanostability to withstand the proteolysis by an AAA+ protease. Sci Rep 8:1–9. https://doi.org/10.1038/s41598-018-25470-0
San Martin Á, Rodriguez-Aliaga P, Molina JA et al (2017) Knots can impair protein degradation by ATP-dependent proteases. Proc Natl Acad Sci 114:9864–9869. https://doi.org/10.1073/pnas.1705916114
Wojciechowski Michałand Gómez-Sicilia À, Carrión-Vázquez M, Cieplak M (2016) Unfolding knots by proteasome-like systems: simulations of the behaviour of folded and neurotoxic proteins. Mol Biosyst 12:2700–2712. https://doi.org/10.1039/C6MB00214E
Fonseka HYY, Javidi A, Oliveira LFL et al (2021) Unfolding and translocation of knotted proteins by Clp biological nanomachines: synergistic contribution of primary sequence and topology revealed by molecular dynamics simulations. J Phys Chem B 125:7335–7350. https://doi.org/10.1021/acs.jpcb.1c00898
Sivertsson EM, Jackson SE, Itzhaki LS (2019) The AAA+ protease ClpXP can easily degrade a 31 and a 52-knotted protein. Sci Rep 9:1–14. https://doi.org/10.1038/s41598-018-38173-3
Sriramoju MK, Chen Y, Hsu S-TD (2020) Protein knots provide mechano-resilience to an AAA+ protease-mediated proteolysis with profound ATP energy expenses. Biochim Biophys Acta (BBA)-Proteins Proteomics 1868:140330. https://doi.org/10.1016/j.bbapap.2019.140330
Lim NCH, Jackson SE (2015) Molecular knots in biology and chemistry. J Phys Condens Matter 27:354101. https://doi.org/10.1088/0953-8984/27/35/354101
Virnau P, Mallam A, Jackson S (2010) Structures and folding pathways of topologically knotted proteins. J Phys Condens Matter 23:33101. https://doi.org/10.1088/0953-8984/23/3/033101
Faisca PFN (2015) Knotted proteins: a tangled tale of structural biology. Comput Struct Biotechnol J 13:459–468. https://doi.org/10.1016/j.csbj.2015.08.003
Potestio R, Micheletti C, Orland H (2010) Knotted vs. unknotted proteins: evidence of knot-promoting loops. PLoS Comput Biol 6:e1000864. https://doi.org/10.1371/journal.pcbi.1000864
Forgan RS, Sauvage J-P, Stoddart JF (2011) Chemical topology: complex molecular knots, links, and entanglements. Chem Rev 111:5434–5464. https://doi.org/10.1021/cr200034u
Jackson SE, Suma A, Micheletti C (2017) How to fold intricately: using theory and experiments to unravel the properties of knotted proteins. Curr Opin Struct Biol 42:6–14. https://doi.org/10.1016/j.sbi.2016.10.002
Dabrowski-Tumanski P, Rubach P, Goundaroulis D et al (2019) KnotProt 2.0: a database of proteins with knots and other entangled structures. Nucleic Acids Res 47:D367–D375. https://doi.org/10.1093/nar/gky1140
Beccara SA, Škrbić T, Covino R et al (2013) Folding pathways of a knotted protein with a realistic atomistic force field. PLoS Comput Biol 9:e1003002. https://doi.org/10.1371/journal.pcbi.1003002
Sułkowska JI, Sułkowski P, Onuchic J (2009) Dodging the crisis of folding proteins with knots. Proc Natl Acad Sci 106:3119–3124. https://doi.org/10.1073/pnas.0811147106
Noel JK, Onuchic JN, Sulkowska JI (2013) Knotting a protein in explicit solvent. J Phys Chem Lett 4:3570–3573. https://doi.org/10.1021/jz401842f
Perlinska AP, Kalek M, Christian T et al (2020) Mg2+-dependent methyl transfer by a knotted protein: a molecular dynamics simulation and quantum mechanics study. ACS Catal 10:8058–8068. https://doi.org/10.1021/acscatal.0c00059
Bölinger D, Sułkowska JI, Hsu H-P et al (2010) A Stevedore’s protein knot. PLoS Comput Biol 6:e1000731. https://doi.org/10.1371/journal.pcbi.1000731
Wu X, Xu P, Wang J, et al (2015) Folding mechanisms of trefoil knot proteins studied by molecular dynamics simulations and Go-model. In: Advance in Structural Bioinformatics. Springer, pp 93–110. https://doi.org/10.1007/978-94-017-9245-5_8
Sriramoju MK, Yang T-J, Hsu S-TD (2018) Comparative folding analyses of unknotted versus trefoil-knotted ornithine transcarbamylases suggest stabilizing effects of protein knots. Biochem Biophys Res Commun 503:822–829. https://doi.org/10.1016/j.bbrc.2018.06.082
Dabrowski-Tumanski P, Stasiak A, Sulkowska JI (2016) In search of functional advantages of knots in proteins. PLoS ONE 11:e0165986. https://doi.org/10.1371/journal.pone.0165986
Phillips JC, Braun R, Wang W et al (2005) Scalable molecular dynamics with NAMD. J Comput Chem 26:1781–1802. https://doi.org/10.1002/jcc.20289
Case DA, Ben-Shalom IY, Brozell SR et al (2018) AMBER 2018; 2018. University of California, San Francisco
Dolinsky TJ, Nielsen JE, McCammon JA, Baker NA (2004) PDB2PQR: an automated pipeline for the setup of Poisson-Boltzmann electrostatics calculations. Nucleic Acids Res 32:W665–W667. https://doi.org/10.1093/nar/gkh381
Maier JA, Martinez C, Kasavajhala K et al (2015) ff14SB: improving the accuracy of protein side chain and backbone parameters from ff99SB. J Chem Theory Comput 11:3696–3713. https://doi.org/10.1021/acs.jctc.5b00255
Ryckaert J-P, Ciccotti G, Berendsen HJC (1977) Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes. J Comput Phys 23:327–341. https://doi.org/10.1016/0021-9991(77)90098-5
Feller SE, Zhang Y, Pastor RW, Brooks BR (1995) Constant pressure molecular dynamics simulation: the Langevin piston method. J Chem Phys 103:4613–4621. https://doi.org/10.1063/1.470648
Grant BJ, Rodrigues APC, ElSawy KM et al (2006) Bio3d: an R package for the comparative analysis of protein structures. Bioinformatics 22:2695–2696. https://doi.org/10.1093/bioinformatics/btl461
Zhou L, Ma Y-C, Tang X et al (2021) Identification of the potential dual inhibitor of protein tyrosine phosphatase sigma and leukocyte common antigen-related phosphatase by virtual screen, molecular dynamic simulations and post-analysis. J Biomol Struct Dyn 39:45–62. https://doi.org/10.1080/07391102.2019.1705913
Wei-Ya L, Yu-Qing D, Yang-Chun M et al (2019) Exploring the cause of the inhibitor 4AX attaching to binding site disrupting protein tyrosine phosphatase 4A1 trimerization by molecular dynamic simulation. J Biomol Struct Dyn 37:4840–4851. https://doi.org/10.1080/07391102.2019.1567392
Xu Y, Li S, Yan Z et al (2019) Revealing cooperation between knotted conformation and dimerization in protein stabilization by molecular dynamics simulations. J Phys Chem Lett 10:5815–5822. https://doi.org/10.1021/acs.jpclett.9b02209
Acknowledgements
The authors acknowledge the physical structure and computational support provided by Universidade Federal da Paraíba (UFPB), the computer resources of Centro Nacional de Processamento de Alto Desempenho em São Paulo (CENAPAD-SP). The English text of this paper has been revised by Sidney Pratt, Canadian, MAT (The Johns Hopkins University), RSAdip—TESL (Cambridge University).
Funding
This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES) through the research project Bioinformática Estrutural de Proteínas: Modelos, Algoritmos e Aplicações Biotecnológicas (Edital Biologia Computacional 51/2013, processo AUXPE1375/2014 da CAPES). G.B.R. received support from the Brazilian National Council for Scientific and Technological Development (CNPq grant no. 309761/2017–4).
Author information
Authors and Affiliations
Contributions
José Cícero Alves Silva: wrote the original manuscript, performed research, curation, and data analysis. Elton José Ferreira Chaves: wrote the original manuscript, curation and data analysis. Gabriel Aires Urquiza de Carvalho: coordinator and revised the original manuscript. Gerd Bruno Rocha: coordinator, planned the research, fundraising, revised the original manuscript. All the authors have read and approved the final manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Silva, J.C.A., Chaves, E.J.F., de Carvalho, G.A.U. et al. Investigation of the structural dynamics of a knotted protein and its unknotted analog using molecular dynamics. J Mol Model 28, 108 (2022). https://doi.org/10.1007/s00894-022-05094-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00894-022-05094-y