Bio-Imitation of Mexican Migration Routes to the USA with Slime Mould on 3D Terrains

Plasmodium of Physarum polycephalum (P. polycephalum) is a large single cell visible by an unaided eye. It shows sophisticated behavioural traits in foraging for nutrients and developing an optimal transport network of protoplasmic tubes spanning sources of nutrients. When placed in an environment with distributed sources of nutrients the cell ‘computes’ an optimal graph spanning the nutrients by growing a network of protoplasmic tubes. P. polycephalum imitates development of man-made transport networks of a country when configuration of nutrients represents major urban areas. We employed this feature of the slime mould to imitate mexican migration to USA. The Mexican migration to USA is the World’s largest migration system. We bio-physically imitated the migration using slime mould P. polycephalum. In laboratory experiments with 3D Nylon terrains of USA we imitated development of migratory routes from Mexico-USA border to ten urban areas with high concentration of Mexican migrants. From results of laboratory experiments we extracted topologies of migratory routes, and highlighted a role of elevations in shaping the human movement networks.

[1]  D. Massey,et al.  The dynamics of mass migration. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Simon X. Yang,et al.  Real-Time Robot Path Planning via a Distance-Propagating Dynamic System with Obstacle Clearance , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[3]  D. Conway,et al.  Consequences of migration and remittances for Mexican transnational communities. , 1998, Economic geography.

[4]  Andrew Schumann,et al.  PHYSARUM SPATIAL LOGIC , 2011 .

[5]  Gordon H. Hanson,et al.  THE DEMOGRAPHY OF MEXICAN MIGRATION TO THE US , 2008 .

[6]  Matthew R. Sanderson,et al.  The Globalization of Economic Production and International Migration , 2009 .

[7]  Anibal T. de Almeida,et al.  Learning sensor-based navigation of a real mobile robot in unknown worlds , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[8]  I Block,et al.  Potential sites for the perception of gravity in the acellular slime mold Physarum polycephalum. , 1989, Advances in space research : the official journal of the Committee on Space Research.

[9]  Jeff Jones,et al.  Influences on the formation and evolution of Physarum polycephalum inspired emergent transport networks , 2011, Natural Computing.

[10]  Darko Stefanovic,et al.  Deoxyribozyme-based three-input logic gates and construction of a molecular full adder. , 2006, Biochemistry.

[11]  Douglas S. Massey,et al.  What's Driving Mexico-U.S. Migration? A Theoretical, Empirical, and Policy Analysis , 1997, American Journal of Sociology.

[12]  L. Pries,et al.  The Disruption of Social and Geographic Space , 2001 .

[13]  Abdullah Al Mamun,et al.  Boundary following and globally convergent path planning using instant goals , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Su-Hsin Chang The Effect of Migrant Networks on Mexican Migration , 2009 .

[15]  I Block,et al.  Involvement of the second messenger cAMP in gravity-signal transduction in Physarum. , 1998, Advances in space research : the official journal of the Committee on Space Research.

[16]  Kevin Thom,et al.  Repeated Circular Migration: Theory and Evidence from Undocumented Migrants , 2010 .

[17]  Graves Pe,et al.  A theory of international migration flows: United States immigration from Mexico. , 1984 .

[18]  Cang Ye,et al.  Navigating a Mobile Robot by a Traversability Field Histogram , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  T. Nakagaki,et al.  Path finding by tube morphogenesis in an amoeboid organism. , 2001, Biophysical chemistry.

[20]  Andrew Adamatzky,et al.  Physarum Machines: Computers from Slime Mould , 2010 .

[21]  Andrew Adamatzky,et al.  Towards Physarum Robots: Computing and Manipulating on Water Surface , 2008, ArXiv.

[22]  Darko Stefanovic,et al.  Deoxyribozyme-based logic gates. , 2002, Journal of the American Chemical Society.

[23]  S. Stephenson,et al.  Myxomycetes: A Handbook of Slime Molds , 1994 .

[24]  I Block,et al.  Gravisensitivity of the acellular slime mold Physarum polycephalum demonstrated on the fast-rotating clinostat. , 1986, European journal of cell biology.

[25]  Jeff Jones,et al.  Sounds synthesis with slime mould of Physarum Polycephalum , 2011 .

[26]  Matthias Becker Design of fault tolerant networks with agent-based simulation of Physarum polycephalum , 2011, 2011 IEEE Congress of Evolutionary Computation (CEC).

[27]  Tamar Diana Wilson,et al.  The culture of Mexican migration , 2010 .

[28]  Tomohiro Shirakawa,et al.  On Simultaneous Construction of Voronoi Diagram and Delaunay Triangulation by Physarum polycephalum , 2009, Int. J. Bifurc. Chaos.

[29]  Tomohiro Shirakawa,et al.  An associative learning experiment using the plasmodium of Physarum polycephalum , 2011, Nano Commun. Networks.

[30]  Masashi Aono,et al.  Robust and emergent Physarum logical-computing. , 2004, Bio Systems.

[31]  S.X. Yang,et al.  An efficient dynamic system for real-time robot-path planning , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  P E Graves,et al.  A theory of international migration flows: United States immigration from Mexico. , 1984, The Review of regional studies.

[33]  Andrew Adamatzky,et al.  Developing Proximity Graphs by Physarum polycephalum: Does the Plasmodium Follow the Toussaint Hierarchy? , 2009, Parallel Process. Lett..

[34]  Andreas Kurz Constructing maps for mobile robot navigation based on ultrasonic range data , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[35]  Aldo Colussi An estimable model of illegal Mexican immigration , 2004 .

[36]  George M. Whitesides,et al.  Solving Mazes Using Microfluidic Networks , 2003 .

[37]  Andrew Adamatzky Advances in Physarum Machines Gates, Hulls, Mazes and Routing with Slime Mould , 2011, PARCO.

[38]  John L. Casti,et al.  Unconventional Models of Computation , 2002, Lecture Notes in Computer Science.

[39]  Graeme Hugo,et al.  Worlds in Motion: Understanding International Migration at the End of the Millennium , 2001 .

[40]  Tetsuya Asai,et al.  Reaction-diffusion computers , 2005 .