Abstract
Large sets of data need to be compacted for classification and extraction of information regarding structural changes of aminoacid units in specific sequences of proteins. The screen is constructed by opposite sides of the virtual tetrahedron built by the six distances between four centers and provides coordinates for a two-dimensional square plot. As alternative e.g. to Ramachandran diagrams based on angles, it may offer greater accuracy and sensitivity. The screen was initially employed to peroxides and persulfides, to monitor the distances relevant to chirality changing processes and successively to show some electric and kinetic properties. The smallest chiral aminoacid, alanine, was therefore chosen for the basic illustration presented here. A virtual tetrahedron is built by the six distances between four centers of the aminoacid skeleton: they do not necessarily coincide with bonds, so a computer program permits their calculation from tabulations of experimental and theoretical data. Here, the screen is applied to treat significant geometrical features of alanine as affected by adjacent aminoacids in peptide chains, as available on protein databases. In this exemplary presentation applications of screen plots are limited to biochemistry: elsewhere have been shown useful in other areas, such as spin networks and the kinematics of a four-bar mechanism.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Palazzetti, F., Maciel, G.S., Lombardi, A., Grossi, G., Aquilanti, V.: The astrochemical observatory: molecules in the laboratory and in the cosmos. J. Chin. Chem. Soc. 59 (2012). https://doi.org/10.1002/jccs.201200242
Gianturco, F.A., et al.: Exploring a chemical route for the formation of stable anions of polyynes [Cn H−(n = 2, 4)] in molecular clouds. Astrophys. J. 830, 2 (2016). https://doi.org/10.3847/0004-637X/830/1/2
Wang, X., Li, Y., Yang, Z., Lu, C., Zhu, T.: A quantum mechanical computational method for modeling electrostatic and solvation effects of protein. Sci. Rep. 8, 5475 (2018)
Lombardi, A., Palazzetti, F., Aquilanti, V., Pirani, F., Casavecchia, P.: The astrochemical observatory: experimental and computational focus on the chiral molecule propylene oxide as a case study. In: Gervasi, O., et al. (eds.) ICCSA 2017. LNCS, vol. 10408, pp. 267–280. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-62404-4_20
Palazzetti, F., et al.: Stereodirectional photodynamics: experimental and theoretical perspectives. In: AIP Conference Proceedings, vol. 1790, p. 020020 (2016). https://doi.org/10.1063/1.4968646
Kasai, T., et al.: Directions of chemical change: experimental characterization of the stereodynamics of photodissociation and reactive processes. Phys. Chem. Chem. Phys. 16, 9776–9790 (2014). https://doi.org/10.1039/c4cp00464g
Barreto, P.R.P., et al.: Potential energy surface for the interaction of helium with the chiral molecule propylene oxide. In: Gervasi, O., et al. (eds.) ICCSA 2018. LNCS, vol. 10964, pp. 593–604. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-95174-4_46
Su, T.-M., Palazzetti, F., Lombardi, A., Grossi, G., Aquilanti, V.: Molecular alignment and chirality in gaseous streams and vortices. Rend. Lincei 24, 291–297 (2013). https://doi.org/10.1007/s12210-013-0249-x
Che, D.-C., Kanda, K., Palazzetti, F., Aquilanti, V., Kasai, T.: Electrostatic hexapole state-selection of the asymmetric-top molecule propylene oxide: rotational and orientational distributions. Chem. Phys. 399, 180–192 (2012). https://doi.org/10.1016/j.chemphys.2011.11.020
Lombardi, A., Maciel, G.S., Palazzetti, F., Grossi, G., Aquilanti, V.: Alignment and chirality in gaseous flows. J. Vac. Soc. Jpn. 53, 645–653 (2010). https://doi.org/10.3131/jvsj2.53.645
Albernaz, A.F., Barreto, P.R.P., Aquilanti, V., Lombardi, A., Palazzetti, F., Pirani, F.: The astrochemical observatory: the interaction between helium and the chiral molecule propylene oxide. In: AIP Conference Proceedings, vol. 2040, p. 020018 (2018). https://doi.org/10.1063/1.5079060
Lin, K.-C., et al.: Angular distribution of bromine atomic photofragment in oriented 2-bromobutane via hexapole state selector. In: AIP Conference Proceedings, p. 020001 (2017). https://doi.org/10.1063/1.5012287
Nakamura, M., et al.: Stereodirectional images of molecules oriented by a variable-voltage hexapolar field: fragmentation channels of 2-bromobutane electronically excited at two photolysis wavelengths. J. Chem. Phys. 147 (2017). https://doi.org/10.1063/1.4981025
Falcinelli, S., et al.: Double photoionization of propylene oxide: a coincidence study of the ejection of a pair of valence-shell electrons. J. Chem. Phys. 148, 114302 (2018). https://doi.org/10.1063/1.5024408
Lombardi, A., Palazzetti, F., Aquilanti, V., Grossi, G.: Chirality in molecular collisions. In: AIP Conference Proceedings, vol. 1906, p. 030012 (2017). https://doi.org/10.1063/1.5012291
Aquilanti, V., et al.: The astrochemical observatory: computational and theoretical focus on molecular chirality changing torsions around O–O and S–S bonds. In: AIP Conference Proceedings, vol. 1906, p. 030010 (2017). https://doi.org/10.1063/1.5012289
Che, D.-C., Palazzetti, F., Okuno, Y., Aquilanti, V., Kasai, T.: Electrostatic hexapole state-selection of the asymmetric-top molecule propylene oxide. J. Phys. Chem. A 114, 3280–3286 (2010). https://doi.org/10.1021/jp909553t
Carrascoza, F., Zaric, S., Silaghi-Dumitrescu, R.: Computational study of protein secondary structure elements: Ramachandran plots revisited. J. Mol. Graph. Model. 50, 125–133 (2014)
Lombardi, A., Palazzetti, F., Maciel, G.S., Aquilanti, V., Sevryuk, M.B.: Simulation of oriented collision dynamics of simple chiral molecules. Int. J. Quantum Chem. 111, 1651–1658 (2011). https://doi.org/10.1002/qua.22816
Barreto, P.R.P., Palazzetti, F., Grossi, G., Lombardi, A., Maciel, G.S., Vilela, A.F.A.: Range and strength of intermolecular forces for van der Waals complexes of the type H2Xn-Rg, with X = O, S and n = 1, 2. Int. J. Quantum Chem. 110, 777–786 (2010). https://doi.org/10.1002/qua.22127
Barreto, P.R.P., Vilela, A.F.A., Lombardi, A., Maciel, G.S., Palazzetti, F., Aquilanti, V.: The hydrogen peroxide-rare gas systems: quantum chemical calculations and hyperspherical harmonic representation of the potential energy surface for atom-floppy molecule interactions. J. Phys. Chem. A 111, 12754–12762 (2007). https://doi.org/10.1021/jp076268v
Maciel, G.S., Barreto, P.R.P., Palazzetti, F., Lombardi, A., Aquilanti, V.: A quantum chemical study of H2S2: intramolecular torsional mode and intermolecular interactions with rare gases. J. Chem. Phys. 129, 164302 (2008). https://doi.org/10.1063/1.2994732
Aquilanti, V., Caglioti, C., Lombardi, A., Maciel, G.S., Palazzetti, F.: Screens for displaying chirality changing mechanisms of a series of peroxides and persulfides from conformational structures computed by quantum chemistry. In: Gervasi, O., et al. (eds.) ICCSA 2017. LNCS, vol. 10408, pp. 354–368. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-62404-4_26
Caglioti, C., Santos, R.F.D., Aquilanti, V., Lombardi, A., Palazzetti, F.: Screen mapping of structural and electric properties, chirality changing rates and racemization times of chiral peroxides and persulfides. In: AIP Conference Proceedings, vol. 2040, p. 020021 (2018). https://doi.org/10.1063/1.5079063
Protein Data Bank, PDB. https://www.rcsb.org/
Bitencourt, A.C.P., Ragni, M., Littlejohn, R.G., Anderson, R., Aquilanti, V.: The screen representation of vector coupling coefficients or Wigner 3j symbols: exact computation and illustration of the asymptotic behavior. In: Murgante, B., et al. (eds.) ICCSA 2014. LNCS, vol. 8579, pp. 468–481. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-09144-0_32
Aquilanti, V., et al.: Quadrilaterals on the square screen of their diagonals: Regge symmetries of quantum mechanical spin networks and Grashof classical mechanisms of four-bar linkages. Rend. Lincei 30, 67–81 (2019). https://doi.org/10.1007/s12210-019-00776-x
Littlejohn, R.G., Yu, L.: Uniform semiclassical approximation for the Wigner 6j-symbol in terms of rotation matrices. J. Phys. Chem. A 113, 14904–14922 (2009)
Aquilanti, V., Haggard, H.M., Hedeman, A., Jeevangee, N., Littlejohn, R., Yu, L.: Semiclassical mechanics of the Wigner 6j-symbol. J. Phys. A. 45, 065209 (2012)
Aquilanti, V., Capecchi, G.: Harmonic analysis and discrete polynomials from semiclassical angular momentum theory to the hyperquantization algorithm. Theoret. Chem. Acc. 104, 183–188 (2000)
De Fazio, D., Cavalli, S., Aquilanti, V.: Orthogonal polynomials of a discrete variable as expansion basis sets in quantum mechanics the hyperquantization algorithm. Int. J. Quantum Chem. 93, 91–111 (2003)
Aquilanti, V., Cavalli, S., De Fazio, D.: Angular and hyperangular momentum coupling coefficients as hahn polynomials. J. Phys. Chem. 99, 15694–15698 (1995)
Bitencourt, A.C.P., Marzuoli, A., Ragni, M., Anderson, R.W., Aquilanti, V.: Exact and asymptotic computations of elementary spin networks: classification of the quantum–classical boundaries. In: Murgante, B., et al. (eds.) ICCSA 2012. LNCS, vol. 7333, pp. 723–737. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-31125-3_54
Aquilanti, V., Bitencourt, A.C.P., da S. Ferreira, C., Marzuoli, A., Ragni, M.: Combinatorics of angular momentum recoupling theory: spin networks, their asymptotics and applications. Theoret. Chem. Acc. 123, 237 (2009)
Ponzano, G., Regge, T.: Semiclassical limit of Racah coefficients. In: Spectroscopic and Group Theoretical Methods in Physics. North-Holland, Amsterdam (1968)
Neville, D.: A technique for solving recurrence relations approximately and its application to the 3j and 6j symbols. J. Math. Phys. 12, 2438 (1971)
Schulten, K., Gordon, R.: Semiclassical approximations to 3j- and 6j-coefficients for quantum-mechanical coupling of angular momenta. J. Math. Phys. 16, 1971–1988 (1975)
Schulten, K., Gordon, R.: Exact recursive evaluation of 3j- and 6j-coefficients for quantum mechanical coupling of angular momenta. J. Math. Phys. 16, 1961–1970 (1975)
Ragni, M., Bitencourt, A.C.P., Aquilanti, V., Anderson, R.W., Littlejohn, R.G.: Exact computation and asymptotic approximations of 6j symbols: illustration of their semiclassical limits. Int. J. Quantum Chem. 110, 731–742 (2010)
Aquilanti, V., Cavalli, S., Coletti, C.: Angular and hyperangular momentum recoupling, harmonic superposition and Racah polynomials: a recursive algorithm. Chem. Phys. Lett. 344, 587–600 (2001)
Berlin ab-initio amino acid DB. http://aminoaciddb.rz-berlin.mpg.de/
Acknowledgements
The authors acknowledge the Italian Ministry for Education, University and Research, MIUR, for financial supporting through SIR 2014 Scientific Independence for young Researchers (RBSI14U3VF).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Caglioti, C., Dos Santos, R.F., Lombardi, A., Palazzetti, F., Aquilanti, V. (2019). Screens Displaying Structural Properties of Aminoacids in Polypeptide Chains: Alanine as a Case Study. In: Misra, S., et al. Computational Science and Its Applications – ICCSA 2019. ICCSA 2019. Lecture Notes in Computer Science(), vol 11624. Springer, Cham. https://doi.org/10.1007/978-3-030-24311-1_32
Download citation
DOI: https://doi.org/10.1007/978-3-030-24311-1_32
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-24310-4
Online ISBN: 978-3-030-24311-1
eBook Packages: Computer ScienceComputer Science (R0)