Abstract
The application of Brownian dynamics for simulation of transient protein–protein interactions is reviewed. The review focuses on the theoretical basics of the Brownian-dynamics method, its particular implementations, and the advantages and drawbacks of this method. The outlook for future development of Brownian dynamics-based simulation techniques is discussed. Special attention is given to analysis of Brownian dynamics trajectories. The second part of the review is dedicated to the role of Brownian-dynamics simulations in studying photosynthetic electron transport. Interactions of mobile electron carriers (plastocyanin, cytochrome c 6, and ferredoxin) with their reaction partners (cytochrome b 6 f complex, photosystem I, ferredoxin:NADP reductase, and hydrogenase) are considered.
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P. Waage and C. M. Guldberg, Forhandlinger: Videnskabs-Selskabet i Christiana 35 (1864).
P. Waage and C. M. Gulberg, J. Chem. Educ. 63 (12), 1044 (1986).
M. V. Smoluchowski, Phys. Zeit. 17, 557 (1916).
M. V Smoluchowski, Z. Phys. Chem. 92, 129 (1917).
P. Debye, Trans. Electrochem. Soc. 82 (1), 265 (1942).
G. Schreiber, G. Haran, and H.-X. Zhou, Chem. Rev. 109 (3), 839 (2009).
C. Kleanthous, Protein–Protein Recognition (Oxford Univ. Press, New York, 2000).
M. Medina and C. Gómez-Moreno, Photosynth. Res. 79 (2), 113 (2004).
J. K. Hurley, J. T. Hazzard, M. Martinez-Julvez, et al., Protein Sci. 8, 1614 (1999).
M. Martínez-Julvez, J. Hermoso, J. K. Hurley, et al., Biochemistr. 37 (51), 17680 (1998).
H.-X. Zhou and P. A. Bates, Curr. Opin. Struct. Biol. 23 (6), 887 (2013).
Q. Bashir, S. Scanu, and M. Ubbink, FEBS J. 278 (9), 1391 (2011).
J. Schilder and M. Ubbink, Curr. Opin. Struct. Biol. 23 (6), 911 (2013).
J. R. Austin and L. A. Staehelin, Plant Physiol. 155 (4), 1601 (2011).
F. E. Callahan, W. P. Wergin, N. Nelson, et al., Plant Physiol. 91 (2), 629 (1989).
R. J. Ellis, Curr. Opin. Struct. Biol. 11 (1), 114 (2001).
J. A. Dix and A. S. Verkman, Annu. Rev. Biophys. 37, 247 (2008).
H.-X. Zhou and A. Szabo, J. Chem. Phys. 95 (8), 5948 (1991).
D. J. Bicout and M. J. Field, J. Phys. Chem. 100 (7), 2489 (1996).
R. Brown, Phil. Mag. 4, 161 (1828).
A. Einstein and M. Smoluchowski, Brownian Motion (ONTI, Leningrad, 1934) [in Russian].
N. Wiener, J. Math. Phys. 2, 131 (1923).
G. G. Stokes, Trans. Cambridge Phil. Soc. 9 (11), 8 (1851).
A. Einstein, Ann. Phys. 322 (8), 549 (1905).
F. Perrin, J. Phys. Radiu. 7 (1), 1 (1936).
I. B. Kovalenko, A. M. Abaturova, P. A. Gromov, et al., Phys. Biol. 3, 121 (2006).
D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69 (4), 1353 (1978).
L. Verlet, Phys. Rev. 159 (1), 98 (1967).
C. Stormer, Comptes Rendus du Congres Int. des Mathematiciens (Strasbgourg, 1920), p. 243.
C. Stormer, Arch. Sci. Phys. Nat. Geneve 24, 350 (1907).
Yu. L. Klimontovich, Usp. Fiz. Nau. 164 (8), 811 (1994).
R. F. Fox, Phys. Rep. 48 (3), 179 (1978).
D. A. Turchenkov and M. A. Turchenkov, Komp. Issled. Model. 4 (2), 325 (2012).
A. Branka and D. Heyes, Phys. Rev. E 58 (2), 2611 (1998).
L. J. Henderson, Am. J. Physiol. 21, 173 (1908).
K. A. Hasselbalch, Biochem. Z. 78, 112 (1917).
R. M. C. Dawson, D. C. Elliott, W. H. Elliott, et al., Data for Biochemical Research, 3rd ed. (Clarendon Press, Oxford, 1986).
D. C. Bas, D. M. Rogers, and J. H. Jensen, Protein. 73 (3), 765 (2008).
C. Tanford and J. G. Kirkwood, J. Am. Chem. Soc. 79, 5333 (1957).
G. M. Ullmann, E.-W. Knapp, and N. M. Kostic, J. Am. Chem. Soc. 119, 42 (1997).
N. A. Baker, D. Sept, S. Joseph, et al., Proc. Natl. Acad. Sci. U. S. A. 98 (18), 10037 (2001).
G. M. Ullmann and E.-W. Knapp, Eur. Biophys. J. 28 (7), 533 (1999).
R. R. Gabdoulline and R. C. Wade, J. Phys. Chem. 100 (9), 3868 (1996).
D. A. Beard and T. Schlick, Biopolymer. 58 (1), 106 (2001).
B. A. Luty, R. C. Wade, J. D. Madura, et al., J. Phys. Chem. 97 (1), 233 (1993).
J. E. Jones, Proc. R. Soc. A: Math. Phys. Eng. Sci. 106 (738), 463 (1924).
R. A. Buckingham, Proc. R. Soc. A: Math. Phys. Eng. Sci. 168 (933), 264 (1938).
S. Northrup, J. Boles, and J. Reynolds, J. Phys. Chem. 91, 5991 (1987).
M. E. Davis, J. D. Madura, B. A. Luty, et al., Comput. Phys. Commun. 62 (2), 187 (1991).
J. Madura, J. Briggs, R. Wade, et al., Comput. Phys. Commun. 91 (1–3), 57 (1995).
S. H. Northrup, MacroDox v. 2.0.2: Software for the Prediction of Macromolecular Interaction (Cookeville, TN: Tennessee Technol. Univ. Press, 1995).
S. S. Khrushchev, A. M. Abaturova, A. N. Diakonova, et al., Komp. Issled. Model. 5 (1), 47 (2013).
C. J. Camacho, S. R. Kimura, C. DeLisi, et al., Biophys. J. 78 (3), 1094 (2000).
R. R. Gabdoulline and R. C. Wade, J. Am. Chem. Soc. 131 (26), 9230 (2009).
T. V Pyrkov, A. O. Chugunov, N. A. Krylov, et al., Bioinformatic. 25 (9), 1201 (2009).
S. H. Northrup, S. A. Allison, and J. A. McCammon, J. Chem. Phys. 80 (4), 1517 (1984).
I. B. Kovalenko, A. M. Abaturova, P. A. Gromov, D. M. Ustinin, G. Yu. Riznichenko, E. A. Grachev, and A. B. Rubin, Biophysics (Moscow. 53 (2), 140 (2008).
O. S. Knyazeva, I. B. Kovalenko, A. M. Abaturova, G. Yu. Riznichenko, E. A. Grachev, and A. B. Rubin, Biophysics (Moscow). 55 (2), 221 (2010).
M. Ubbink, FEBS Lett. 583, (7), 1060 (2009).
C. Tang, J. Iwahara, and G. M. Clore, Natur. 444 (7117), 383 (2006).
S. H. Northrup and H. P. Erickson, Proc. Natl. Acad. Sci. U. S. A. 89 (8), 3338 (1992).
A. Spaar, C. Dammer, R. R. Gabdoulline, et al., Biophys. J. 90 (6), 1913 (2006).
R. R. Gabdoulline and R. C. Wade, J. Mol. Recognit. JM. 12 (4), 226 (1999).
S. Scanu, J. M. Foerster, G. M. Ullmann, et al., J. Am. Chem. Soc. 135 (20), 7681 (2013).
S. H. Northrup and J. T. Hynes, J. Chem. Phys. 71 (2), 871 (1979).
O. G. Berg and P. H. von Hippel, Annu. Rev. Biophys. Biophys. Chem. 14, 131 (1985).
G. Zou, R. D. Skeel, and S. Subramaniam, Biophys. J. 79 (2), 638 (2000).
G. Zou and R. D. Skeel, Biophys. J. 85 (4), 2147 (2003).
G. A. Huber and S. Kim, Biophys. J. 70 (1), 97 (1996).
A. Rojnuckarin, D. R. Livesay, and S. Subramaniam, Biophys. J. 79 (2), 686 (2000).
H. X. Zhou and A. Szabo, Biophys. J. 71 (5), 2440 (1996).
Y. Song, Y. Zhang, T. Shen, et al., Biophys. J. 86 (4), 2017 (2004).
A. I. Kobzar’, Applied Mathematical Statistics for Engineers and Scientists (Fizmatlit, Moscow, 2006) [in Russian].
R. R. Gabdoulline and R. C. Wade, Curr. Opin. Struct. Biol. 12 (2), 204 (2002).
R. A. Marcus and N. Sutin, Biochim. Biophys. Acta Rev. Bioenerg. 811 (3), 265 (1985).
R. R. Gabdoulline and R. C. Wade, Method. 14 (3), 329 (1998).
D. P. Tolle and N. Le Novere, BMC Syst. Biol. 4 (1), 24 (2010).
H. I. Ingolfsson, C. A. Lopez, J. J. Uusitalo, et al., Wiley Interdiscip. Rev. Comput. Mol. Sci. 4 (3), 225 (2014).
M. Baaden and S. J. Marrink, Curr. Opin. Struct. Biol. 23 (6), 878 (2013).
G. A. Huber and J. A. McCammon, Comput. Phys. Commun. 181 (11), 1896 (2010).
M. Dlugosz, P. Zielinski, and J. Trylska, J. Comput. Chem. 32 (12), 2734 (2011).
T. Geyer, BMC Biophys. 4 (1), 7 (2011).
A. Zhmurov, R. I. Dima, Y. Kholodov, et al., Protein. 78 (14), 2984 (2010).
D. M. Ustinin, I. B. Kovalenko, G. Yu. Piznichenko, et al., Komp. Issled. Model. 5 (1), 65 (2013).
S. Poblete, M. Praprotnik, K. Kremer, et al., J. Chem. Phys. 132 (11), 114101 (2010).
A. Stirbet, G. Y. Riznichenko, A. B. Rubin, and Govindjee, Biochemistry (Moscow). 79 (4), 291 (2014).
G. Y. Riznichenko, N. E. Belyaeva, I. B. Kovalenko, et al., in Current Problems in Photosynthesis Research (2014), Vol. 2, p. 41.
G. Y. Riznichenko, I. B. Kovalenko, A. M. Abaturova, A. N. Diakonova, O. S. Knyazeva, D. M. Ustinin, S. S. Khruschev, and A. B. Rubin, Biophysics (Moscow). 56 (5), 757(2011).
G. Y. Riznichenko, I. B. Kovalenko, A. M. Abaturova, et al., Biophys. Rev. 2 (3), 101 (2010).
A. Rubin, G. Riznichenko, and Govindjee, in Photosynthesis in Silico: Understanding Complexity from Molecules to Ecosystems, Ed. by A. Laisk, L. Nedbal, and Govindjee (Springer, Dordrecht, 2009), p. 151.
A. Rubin and G. Riznichenko, Mathematical Biophysics (Springer US, Boston, MA, 2014).
G. S. Kachalova, A. C. Shosheva, G. P. Bourenkov, et al., J. Inorg. Biochem. 115, 174 (2012).
M. Ubbink, M. Ejdebeck, B. G. Karlsson, et al., Structure 6, 323 (1998).
P. B. Crowley, G. Otting, B. G. Schlarb-Ridley, et al., J. Am. Chem. Soc. 123, 10444 (2001).
P. B. Crowley, D. M. Hunter, K. Sato, et al., Biochem. J. 378 (Pt 1), 45 (2004).
C. Albarran, J. Navarro, M. de la Rosa, et al., Biochemistry 46, 997 (2007).
I. Cruz-Gallardo, I. Diaz-Moreno, A. Diaz-Quintana, et al., FEBS Lett. 586 (5), 646 (2012).
J. A. Navarro, M. Hervas, and M. A. De la Rosa, J. Biol. Inorg. Chem. 2 (1), 11 (1997).
A. Kannt, S. Young, and D. S. Bendall, Biochim. Biophys. Acta 1277, 115 (1996).
J. Illerhaus, L. Altschmied, J. Reichert, et al., J. Biol. Chem. 275 (23), 17590 (2000).
S. Modi, M. Nordling, L. G. Lundberg, et al., Biochim. Biophys. Act. 1102 (1), 85 (1992).
S. He, S. Modi, D. S. Bendall, et al., EMBO J. 10 (13), 4011 (1991).
L. Qin and N. M. Kostic, Biochemistr. 32 (23), 6073 (1993).
S. E. Hart, B. G. Schlarb-Ridley, C. Delon, et al., Biochemistr. 42 (17), 4829 (2003).
B. G. Schlarb-Ridley, D. S. Bendall, and C. J. Howe, Biochemistry 21, 3279 (2002).
R. Hulsker, M. V Baranova, G. S. Bullerjahn, et al., J. Am. Chem. Soc. 130 (6), 1985 (2008).
I. Diaz-Moreno, A. Diaz-Quintana, M. A. De la Rosa, et al., Biochemistr. 44 (9), 3176 (2005).
I. Diaz-Moreno, A. Diaz-Quintana, M. A. De la Rosa, et al., J. Biol. Chem. 280 (19), 18908 (2005).
D. C. Pearson Jr. and E. L. Gross, Biophys. J. 75, 2698 (1998).
E. L. Gross, Photosynth. Res. 94 (2–3), 411 (2007).
F. De Rienzo, R. R. Gabdoulline, M. C. Menziani, et al., Biophys. J. 81 (3), 3090 (2001).
J. A. Cruz, B. A. Salbilla, A. Kanazawa, et al., Plant Physiol. 127, 1167 (2001).
E. J. Haddadian and E. L. Gross, Biophys. J. 88, 2323 (2005).
E. J. Haddadian and E. L. Gross, Biophys. J. 90, 566 (2006).
E. L. Gross, D. C. Pearson Jr., and D. C. Pearson, Biophys. J. 85 (3), 2055 (2003).
E. J. Haddadian and E. L. Gross, Biophys. J. 91, 2589 (2006).
E. L. Gross, Biophys. J. 87, 2043 (2004).
E. L. Gross and I. Rosenberg, Biophys. J. 90, 366 (2006).
I. B. Kovalenko, O. S. Knyazeva, G. Yu. Riznichenko, and A. B. Rubin, Dokl. Biochem. Biophys. 440, 213 (2011).
I. B. Kovalenko, O. S. Knyazeva, G. Yu. Riznichenko, and A. B. Rubin, Biophysics (Moscow). 59 (1), 1 (2014).
G. Finazzi, F. Sommer, and M. Hippler, Proc. Natl. Acad. Sci. U. S. A. 102 (19), 7031 (2005).
T. Ueda, N. Nomoto, M. Koga, et al., Plant Cel. 24 (10), 4173 (2012).
T. Shikanai, A. Busch, and M. Hippler, Biochim. Biophys. Acta: Bioenerg. 1807 (8), 864 (2011).
A. Amunts, H. Toporik, A. Borovikova, et al., J. Biol. Chem. 285 (5), 3478 (2010).
P. Setif, N. Harris, B. Lagoutte, et al., J. Am. Chem. Soc. 132 (31), 10620 (2010).
S. V. Ruffle, A. O. Mustafa, A. Kitmitto, et al., J. Biol. Chem. 275 (46), 36250 (2000).
P. Setif, N. Fischer, B. Lagoutte, et al., Biochim. Biophys. Acta: Bioenerg. 1555 (1), 204 (2002).
S. V Ruffle, A. O. Mustafa, A. Kitmitto, et al., J. Biol. Chem. 277 (28), 25692 (2002).
A. Ben-Shem, F. Frolow, and N. Nelson, Nature 426, 630 (2003).
E. Myshkin and G. S. Bullerjahn, Biophys J. 82, 3305 (2002).
R. Morales, G. Kachalova, F. Vellieux, et al., Acta Crystallogr. D: Biol. Crystallogr. 56 (Pt 11), 1408 (2000).
I. B. Kovalenko, A. M. Abaturova, G. Y. Riznichenko, et al., BioSystems 103, 180 (2011).
H. Long, C. H. Chang, P. W. King, et al., Biophys. J. 95 (8), 3753 (2008).
C. H. Chang, P. W. King, M. L. Ghirardi, et al., Biophys J. 93 (9), 3034 (2007).
H. Long, P. W. King, M. L. Ghirardi, et al., J. Phys. Chem. 113 (16), 4060 (2009).
I. B. Kovalenko, A. N. Diakonova, A. M. Abaturova, et al., Phys. Biol. 7 (2), 26001 (2010).
A. N. Diakonova, S. S. Khrushchev, I. B. Kovalenko, et al., Photosynth. Res. (submitted).
S. Juric, K. Hazler-Pilepic, A. Tomasic, et al., Plant J. 60 (5), 783 (2009).
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Original Russian Text © S.S. Khruschev, A.M. Abaturova, A.N. Diakonova, V.A. Fedorov, D.M. Ustinin, I.B. Kovalenko, G.Yu. Riznichenko, A.B. Rubin, 2015, published in Biofizika, 2015, Vol. 60, No. 2, pp. 270–292.
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Khruschev, S.S., Abaturova, A.M., Diakonova, A.N. et al. Brownian-dynamics simulations of protein–protein interactions in the photosynthetic electron transport chain. BIOPHYSICS 60, 212–231 (2015). https://doi.org/10.1134/S0006350915020086
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DOI: https://doi.org/10.1134/S0006350915020086