How reverse reactions influence the yield of self-assembly robots

Abstract

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.

Keywords

Degree of parallelism distributed system morphology one-shot aggregation reverse reaction self-propulsive self-assembly robot stochasticity yield problem.

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References

Bishop J. , Burden S. , Klavins E. , Kreisberg R. , Malone W. , Napp N. , et al. (2005) Programmable parts: A demonstration of the grammatical approach to self-organization. In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) , pp. 3684-3691.

Boncheva M. , Ferrigno R. , Bruzewicz DA and Whitesides GM ( 2003) Plasticity in self-assembly: Templating generates functionally different circuits from a single precursor. Angewandte Chemie International Edition 42: 3368-3371.

Bowden N. , Terfort A. , Carbeck J. and Whitesides, GM ( 1997) Self-assembly of mesoscale objects into ordered two-dimensional arrays. Science 276: 233-235.

Castano A. , Behar A. and Will PM ( 2002) The Conro modules for reconfigurable robots. IEEE/ASME Transactions on Mechatronics 7: 403-409.

Chirikjian GS ( 1994) Kinematics of a metamorphic robotic system. In IEEE International Conference on Robotics and Automation (ICRA) , pp. 449-455.

Christensen AL , O’Grady R. and Dorigo M. ( 2007) Morphology control in a multirobot system. IEEE Robotics and Automation Magazine, 14: 18-25.

Fukuda T. and Kawauch Y. ( 1990) Cellular robotic system (CEBOT) as one of the realizations of self-organizing intelligent universal manipulator. In IEEE International Conference on Robotics and Automation (ICRA) , pp. 662-667.

Gillespie DT ( 2007) Stochastic simulation of chemical kinetics. Annual Review of Physical Chemistry 58: 35-55.

Gracias DH , Tien J. , Breen TL , Hsu C. and Whitesides GM ( 2000) Forming electrical networks in three dimensions by self-assembly . Science 289: 1170-1172.

10.

Griffith S. , Goldwater D. and Jacobson J. ( 2005) Robotics: Self-replication from random parts. Nature 437: 636.

11.

Grzybowski BA , Stone HA and Whitesides GM ( 2000) Dynamic self-assembly of magnetized, millimetre-sized objects rotating at a liquid-air interface. Nature 405: 1033-1036.

12.

Grzybowski BA , Winkleman A. , Wiles JA , Brumer Y. and Whitesides GM ( 2003) Electrostatic self-assembly of macroscopic crystals using contact electrification. Nature Materials 2: 241-245.

13.

Grzybowski BA , Radkowski M. , Campbell CJ , Lee JN and Whitesides GM ( 2004) Self-assembling fluidic machines. Applied Physics Letters 84: 1798-1800.

14.

Harada K. , Susilo E. , Menciassi A. and Dario P. ( 2009) Wireless reconfigurable modules for robotic endoluminal surgery. In IEEE International Conference on Robotics and Automation (ICRA), pp. 2880-2885.

15.

Hosokawa K. , Shimoyama I. and Miura H. ( 1994) Dynamics of self-assembling systems: Analogy with chemical kinetics. Artificial Life 1: 413-427.

16.

Hosokawa K. , Shimoyama I. and Miura H. ( 1996) 2-d micro-self-assembly using the surface tension of water . Sensors and Actuators A 57: 117-125.

17.

Jorgensen MW , Ostergaard EH and Lund HH ( 2004) Modular ATRON: Modules for a self-reconfigurable robot . In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 2068-2073.

18.

Klavins E. ( 2007) Programmable self-assembly. IEEE Control System Magazine 27: 43-56.

19.

Kotay K. , Rus D. , Vona M. and McGray C. ( 1998) The self-reconfiguring robotic molecule. In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 424-431.

20.

Leiman PG , Kanamaru S. , Mesyanzhinov VV , Arisaka F. and Rossmann MG ( 2003) Structure and morphogenesis of bacteriophage T4 . Cellular and Molecular Life Sciences 60: 2356-2370.

21.

Leong T. , Gu Z. , Koh T. and Gracias DH ( 2006) Spatially controlled chemistry using remotely guided nanoliter scale containers. Journal of American Chemical Society 128: 11336-11337.

22.

Mao C. , LaBean TH , Reif JH and Seeman NC ( 2000) Logical computation using algorithmic self-assembly . Nature 407: 493-496.

23.

Matthey L. , Berman S. and Kumar V. ( 2009) Stochastic strategies for a swarm robotic assembly system . In IEEE International Conference on Robotics and Automation (ICRA), pp. 1751-1756.

24.

Mermoud G. , Brugger J. and Martinoli A. ( 2009) Towards multilevel modeling of self-assembling intelligent micro-systems. In International Conference on Autonomous Agents and Multiagent Systems (AAMAS), pp. 89-96.

25.

Miyashita S. , Nagy Z. , Nelson BJ and Pfeifer R (2009) The influence of shape on parallel self-assembly . Entropy 11: 643-666.

26.

Mondada F. , Gambardella LM , Floreano D. , Nolfi S. , Deneubourg J-L. and Dorigo M. ( 2005) The cooperation of swarm-bots. IEEE Robotics and Automation Magazine 12: 21-28.

27.

Murata S. , Kurokawa H. and Kokaji S. ( 1994) Self-assembling machine. In IEEE International Conference on Robotics and Automation (ICRA), pp. 441-448.

28.

Murata S. , Kurokawa H. , Yoshida E. , Tomita K. and Kokaji S. ( 1998) A 3-D self-reconfigurable structure. In IEEE International Conference on Robotics and Automation (ICRA) , pp. 432-439.

29.

Murata S. , Tomita K. , Yoshida E. , Kurokawa H. and Kokaji S. ( 1999) Self-reconfigurable robot. In International Conference on Intelligent Autonomous Systems (IAS) , pp. 911-917.

30.

Nagy Z. , Oung R. , Abbott JJ and Nelson BJ ( 2008) Experimental investigation of magnetic self-assembly for swallowable modular robots. In IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 1915-1920.

31.

Nakano K. , Uchihashi S. , Umemoto N. and Nakagama H. ( 1994) An approach to evolutional system. In First IEEE Conference on Evolutionary Computation, pp. 781-786.

32.

Penrose LS ( 1959) Self-reproducing. Scientific American 200: 105-114.

33.

Rothemund PWK ( 2006) Folding DNA to create nanoscale shapes and patterns . Nature 440: 297-302.

34.

Rus D. and Vona M. ( 2001) Crystalline robots: Self-reconfiguration with compressible unit modules. Autonomous Robots 10: 107-124.

35.

Saitou K. ( 1999) Conformational switching in self-assembling mechanical systems. IEEE Transactions on Robotics and Automation 15: 510-520.

36.

Seeman NC ( 2003) DNA in a material world. Nature 421: 427-430.

37.

Shih WM , Quispe JD and Joyce GF ( 2004) A 1.7-kilobase single-stranded DNA that folds into a nanoscale octahedron. Nature 427: 618-621.

38.

Shimizu M. , Ishiguro A. and Kawakatsu T. ( 2005) A modular robot that exploits a spontaneous connectivity control mechanism. In IEEE International Conference on Robotics and Automation (ICRA), pp. 2658-2663.

39.

White P. , Kopanski K. and Lipson H. ( 2004) Stochastic selfreconfigurable cellular robotics . In IEEE International Conference on Robotics and Automation (ICRA), pp. 2888-2893.

40.

White P. , Zykov V. , Bongard J. and Lipson H. ( 2005) Three dimensional stochastic reconfiguration of modular robots. In International Conference on Robotics Science and Systems (RSS), pp. 161-168.

41.

Winfree E. , Liu F. , Wenzler LA and Seeman NC ( 1998) Design and self-assembly of two-dimensional DNA crystals . Nature 394: 539-544.

42.

Wolfe DB , Snead A. , Mao C. , Bowden NB and Whitesides GM ( 2003) Mesoscale self-assembly: Capillary interactions when positive and negitive menisci have similar amplitudes. Langmuir 19: 2206-2214.

43.

Yim M. ( 1994) New locomotion gaits. In IEEE International Conference on Robotics and Automation (ICRA), pp. 2508-2514.

44.

Yokoyama T. , Yokoyama S. , Kamikado T. , Okuno Y. and Mashiko S. ( 2001) Selective assembly on a surface of supramolecular aggregates with controlled size and shape. Nature 413: 619-621.

45.

Zlotnick A. ( 2005) Theoretical aspects of virus capsid assembly. Molecular Recognition 18: 479-490.

46.

Zykov V. , Mutilinaios E. , Adams B. and Lipson H. ( 2005) Self-reproducing machines. Nature 435: 163-164.

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