How reverse reactions influence the yield of self-assembly robots

The decay in structure size of manufacturing products has yielded new demands on spontaneous composition methods. The key for the realization of small-sized robots lies in how to achieve the efficient assembly sequence in a bottom-up manner, where most of the parts have only limited (or no) computational (i.e. deliberative) abilities. In this paper, based on a novel self-assembly platform consisting of self-propulsive centimetre-sized modules capable of aggregation on the surface of water, we study the effect of stochasticity and morphology (shape) on the yield of targeted formations in self-assembly processes. Specifically, we focus on a unique phenomenon: that a number of modules instantly compose a target product without forming intermediate subassemblies, some of which constitute undesired geometrical formations (termed one-shot aggregation). Together with a focus on the role that the morphology of the modules plays, we validate the effect of one-shot aggregation with a kinetic rate mathematical model. Moreover, we examined the degree of parallelism of the assembly process, which is an essential factor in self-assembly, but is not systematically taken into account by existing frameworks.

[1]  George M. Whitesides,et al.  Mesoscale Self-Assembly: Capillary Interactions When Positive and Negative Menisci Have Similar Amplitudes , 2003 .

[2]  E. Klavins,et al.  Programmable Self-Assembly , 2007, IEEE Control Systems.

[3]  G. Whitesides,et al.  Self-Assembly of Mesoscale Objects into Ordered Two-Dimensional Arrays , 1997, Science.

[4]  Paolo Dario,et al.  Wireless reconfigurable modules for robotic endoluminal surgery , 2009, 2009 IEEE International Conference on Robotics and Automation.

[5]  Mark J. Jakiela,et al.  Conformational switching in self-assembling mechanical systems: theory and application , 1996 .

[6]  Rolf Pfeifer,et al.  The Influence of Shape on Parallel Self-Assembly , 2009, Entropy.

[7]  Marsette Vona,et al.  Crystalline Robots: Self-Reconfiguration with Compressible Unit Modules , 2001, Auton. Robots.

[8]  Spring Berman,et al.  Stochastic strategies for a swarm robotic assembly system , 2009, 2009 IEEE International Conference on Robotics and Automation.

[9]  George M Whitesides,et al.  Plasticity in self-assembly: templating generates functionally different circuits from a single precursor. , 2003, Angewandte Chemie.

[10]  N. Seeman,et al.  Design and self-assembly of two-dimensional DNA crystals , 1998, Nature.

[11]  I. Shimoyama,et al.  Two-dimensional micro-self-assembly using the surface tension of water , 1996 .

[12]  George M. Whitesides,et al.  Self-assembling fluidic machines , 2004 .

[13]  Eiichi Yoshida,et al.  A 3-D self-reconfigurable structure , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[14]  David H Gracias,et al.  Spatially controlled chemistry using remotely guided nanoliter scale containers. , 2006, Journal of the American Chemical Society.

[15]  Eric Klavins,et al.  Programmable parts: a demonstration of the grammatical approach to self-organization , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  Craig D. McGray,et al.  The self-reconfiguring robotic molecule , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[17]  Saul Griffith,et al.  Robotics: Self-replication from random parts , 2005, Nature.

[18]  Shiyoshi Yokoyama,et al.  Selective assembly on a surface of supramolecular aggregates with controlled size and shape , 2001, Nature.

[19]  J. Reif,et al.  Logical computation using algorithmic self-assembly of DNA triple-crossover molecules , 2000, Nature.

[20]  George M. Whitesides,et al.  Dynamic self-assembly of magnetized, millimetre-sized objects rotating at a liquid–air interface , 2000, Nature.

[21]  Isao Shimoyama,et al.  Dynamics of self-assembling systems: Analogy with chemical kinetics , 1994 .

[22]  Jake J. Abbott,et al.  Experimental investigation of magnetic self-assembly for swallowable modular robots , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[23]  Kazuhiro Saitou,et al.  Conformational switching in self-assembling mechanical systems , 1999, IEEE Trans. Robotics Autom..

[24]  George M. Whitesides,et al.  Electrostatic self-assembly of macroscopic crystals using contact electrification , 2003, Nature materials.

[25]  Daniel T Gillespie,et al.  Stochastic simulation of chemical kinetics. , 2007, Annual review of physical chemistry.

[26]  Toshio Fukuda,et al.  Cellular robotic system (CEBOT) as one of the realization of self-organizing intelligent universal manipulator , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[27]  I. Shimoyama,et al.  Two-dimensional micro-self-assembly using the surface tension of water , 1996, Proceedings of Ninth International Workshop on Micro Electromechanical Systems.

[28]  Tien,et al.  Forming electrical networks in three dimensions by self-assembly , 2000, Science.

[29]  William M. Shih,et al.  A 1.7-kilobase single-stranded DNA that folds into a nanoscale octahedron , 2004, Nature.

[30]  P. Rothemund Folding DNA to create nanoscale shapes and patterns , 2006, Nature.

[31]  Gregory S. Chirikjian,et al.  Kinematics of a metamorphic robotic system , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[32]  Hod Lipson,et al.  Stochastic self-reconfigurable cellular robotics , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[33]  L. Penrose,et al.  Self-Reproducing Machines , 1959 .

[34]  M. G. Rossmann,et al.  Structure and morphogenesis of bacteriophage T4 , 2003, Cellular and Molecular Life Sciences CMLS.

[35]  Alcherio Martinoli,et al.  Towards multi-level modeling of self-assembling intelligent micro-systems , 2009, AAMAS 2009.

[36]  Hod Lipson,et al.  Three Dimensional Stochastic Reconfiguration of Modular Robots , 2005, Robotics: Science and Systems.

[37]  Adam Zlotnick,et al.  Theoretical aspects of virus capsid assembly , 2005, Journal of molecular recognition : JMR.

[38]  H. Kurokawa,et al.  Self-assembling machine , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[39]  Mark Yim,et al.  New locomotion gaits , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[40]  Shingo Uchihashi,et al.  An approach to evolutional system , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[41]  N. Seeman DNA in a material world , 2003, Nature.

[42]  Hod Lipson,et al.  Robotics: Self-reproducing machines , 2005, Nature.

[43]  Isao Shimoyama,et al.  Dynamics of Self-Assembling Systems: Analogy with Chemical Kinetics , 1994, Artificial Life.

[44]  A. Castano,et al.  The Conro modules for reconfigurable robots , 2002 .

[45]  Marco Dorigo,et al.  Morphology control in a multirobot system , 2007, IEEE Robotics & Automation Magazine.

[46]  Satoshi Murata,et al.  Self-reconfigurable robots , 2007, IEEE Robotics & Automation Magazine.

[47]  Luca Maria Gambardella,et al.  The cooperation of swarm-bots: physical interactions in collective robotics , 2005, IEEE Robotics & Automation Magazine.

[48]  Henrik Hautop Lund,et al.  Modular ATRON: modules for a self-reconfigurable robot , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[49]  Masahiro Shimizu,et al.  A modular robot that exploits a spontaneous connectivity control mechanism , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.