Designed Elastic Networks: Models of Complex Protein Machinery

Recently, the design of mechanical networks with protein-inspired responses has become increasingly popular. Here, we review contributions which were motivated by studies of protein dynamics employing coarse-grained elastic network models. First, the concept of evolutionary optimization that we developed to design network structures which execute prescribed tasks is explained. We then review what presumably marks the origin of the idea to design complex functional networks which encode protein-inspired behavior, namely the design of an elastic network structure which emulates the cycles of ATP-powered conformational motion in protein machines. Two recent applications are reviewed. First, the construction of a model molecular motor, whose operation incorporates both the tight coupling power stroke as well as the loose coupling Brownian ratchet mechanism, is discussed. Second, the evolutionary design of network structures which encode optimal long-range communication between remote sites and represent mechanical models of allosteric proteins is presented. We discuss the prospects of designed protein-mimicking elastic networks as model systems to elucidate the design principles and functional signatures underlying the operation of complex protein machinery.

[1]  Holger Flechsig Nucleotide-Induced Conformational Dynamics in ABC Transporters from Structure-Based Coarse Grained Modeling , 2016, Front. Phys..

[2]  A. Atilgan,et al.  Direct evaluation of thermal fluctuations in proteins using a single-parameter harmonic potential. , 1997, Folding & design.

[3]  Le Yan,et al.  Principles for Optimal Cooperativity in Allosteric Materials. , 2017, Biophysical journal.

[4]  Bier,et al.  Fluctuation driven ratchets: Molecular motors. , 1994, Physical review letters.

[5]  Paul Schanda,et al.  Direct observation of the dynamic process underlying allosteric signal transmission. , 2009, Journal of the American Chemical Society.

[6]  Holger Flechsig,et al.  Deciphering Intrinsic Inter-subunit Couplings that Lead to Sequential Hydrolysis of F1-ATPase Ring , 2017, Biophysical journal.

[7]  Xin-Qiu Yao,et al.  Rapid Characterization of Allosteric Networks with Ensemble Normal Mode Analysis. , 2016, The journal of physical chemistry. B.

[8]  Matthias Rief,et al.  Regulation of a heterodimeric kinesin-2 through an unprocessive motor domain that is turned processive by its partner , 2010, Proceedings of the National Academy of Sciences.

[9]  Yuichi Togashi,et al.  Nonlinear relaxation dynamics in elastic networks and design principles of molecular machines , 2007, Proceedings of the National Academy of Sciences.

[10]  A. Atilgan,et al.  Manipulation of conformational change in proteins by single-residue perturbations. , 2010, Biophysical journal.

[11]  D. Baker,et al.  Principles for designing ideal protein structures , 2012, Nature.

[12]  J. Changeux,et al.  ON THE NATURE OF ALLOSTERIC TRANSITIONS: A PLAUSIBLE MODEL. , 1965, Journal of molecular biology.

[13]  Dror Tobi,et al.  Allosteric changes in protein structure computed by a simple mechanical model: hemoglobin T<-->R2 transition. , 2003, Journal of molecular biology.

[14]  A. Grosberg,et al.  Design of toy proteins capable of rearranging conformations in a mechanical fashion , 2002, cond-mat/0212124.

[15]  TALEs from a Spring – Superelasticity of Tal Effector Protein Structures , 2014, PloS one.

[16]  Takeshi Sakamoto,et al.  Direct observation of the mechanochemical coupling in myosin Va during processive movement , 2008, Nature.

[17]  B Ermentrout,et al.  Dynamics of single-motor molecules: the thermal ratchet model. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Zheng Yang,et al.  Allosteric Transitions of Supramolecular Systems Explored by Network Models: Application to Chaperonin GroEL , 2009, PLoS Comput. Biol..

[19]  Holger Flechsig,et al.  Tracing entire operation cycles of molecular motor hepatitis C virus helicase in structurally resolved dynamical simulations , 2010, Proceedings of the National Academy of Sciences.

[20]  Ruth Nussinov,et al.  A Unified View of “How Allostery Works” , 2014, PLoS Comput. Biol..

[21]  Tirion,et al.  Large Amplitude Elastic Motions in Proteins from a Single-Parameter, Atomic Analysis. , 1996, Physical review letters.

[22]  Raymond Kapral,et al.  Mesoscale modeling of molecular machines: cyclic dynamics and hydrodynamical fluctuations. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  B. Alberts The Cell as a Collection of Protein Machines: Preparing the Next Generation of Molecular Biologists , 1998, Cell.

[24]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[25]  James A. Spudich,et al.  How molecular motors work , 1994, Nature.

[26]  A. Mikhailov,et al.  In Silico Investigation of Conformational Motions in Superfamily 2 Helicase Proteins , 2011, PloS one.

[27]  Hilla Peretz,et al.  The , 1966 .

[28]  Nidhi Pashine,et al.  Designing allostery-inspired response in mechanical networks , 2016, Proceedings of the National Academy of Sciences.

[29]  J. Eckmann,et al.  Green function of correlated genes in a minimal mechanical model of protein evolution , 2018, Proceedings of the National Academy of Sciences.

[30]  B. Erman A fast approximate method of identifying paths of allosteric communication in proteins , 2013, Proteins.

[31]  Guang Song,et al.  How well can we understand large-scale protein motions using normal modes of elastic network models? , 2007, Biophysical journal.

[32]  Physical model of the genotype-to-phenotype map of proteins , 2016 .

[33]  Holger Flechsig Computational biology approach to uncover hepatitis C virus helicase operation. , 2013, World journal of gastroenterology.

[34]  Causality, transfer entropy, and allosteric communication landscapes in proteins with harmonic interactions , 2017, Proteins.

[35]  D. Koshland,et al.  Comparison of experimental binding data and theoretical models in proteins containing subunits. , 1966, Biochemistry.

[36]  R. Cross,et al.  Molecular machines , 2017, Biophysical Reviews.

[37]  R D Young,et al.  Protein states and proteinquakes. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[38]  Toshio Yanagida,et al.  Sliding distance of actin filament induced by a myosin crossbridge during one ATP hydrolysis cycle , 1985, Nature.

[39]  Martin Tollinger,et al.  NMR Methods to Study Dynamic Allostery , 2016, PLoS Comput. Biol..

[40]  Towards synthetic molecular motors: a model elastic-network study , 2016 .

[41]  Y. Sanejouand,et al.  Conformational change of proteins arising from normal mode calculations. , 2001, Protein engineering.

[42]  Sebastian Doniach,et al.  A comparative study of motor-protein motions by using a simple elastic-network model , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[43]  A. Mikhailov,et al.  Myosin-V as a mechanical sensor: an elastic network study. , 2012, Biophysical journal.

[44]  Hiroaki Takagi,et al.  Fluctuation analysis of mechanochemical coupling depending on the type of biomolecular motors. , 2008, Physical review letters.

[45]  Le Yan,et al.  Architecture and coevolution of allosteric materials , 2016, Proceedings of the National Academy of Sciences.

[46]  Henrik Ronellenfitsch,et al.  Limits of multifunctionality in tunable networks , 2018, Proceedings of the National Academy of Sciences.

[47]  F. Oosawa,et al.  The loose coupling mechanism in molecular machines of living cells. , 1986, Advances in biophysics.

[48]  Alexander S. Mikhailov,et al.  Nonlinearity of Mechanochemical Motions in Motor Proteins , 2010, PLoS Comput. Biol..

[49]  R. Vale,et al.  The way things move: looking under the hood of molecular motor proteins. , 2000, Science.

[50]  F. Jülicher,et al.  Modeling molecular motors , 1997 .

[51]  I. Bahar,et al.  Gaussian Dynamics of Folded Proteins , 1997 .

[52]  Daniel Hexner,et al.  Role of local response in manipulating the elastic properties of disordered solids by bond removal. , 2017, Soft matter.

[53]  C. Chennubhotla,et al.  Intrinsic dynamics of enzymes in the unbound state and relation to allosteric regulation. , 2007, Current opinion in structural biology.

[54]  Holger Flechsig,et al.  Design of Elastic Networks with Evolutionary Optimized Long-Range Communication as Mechanical Models of Allosteric Proteins , 2017, Biophysical journal.

[55]  A. Mikhailov,et al.  Coarse-grain simulations of active molecular machines in lipid bilayers. , 2013, The Journal of chemical physics.