Abstract
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.
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Calude C S, Casti J, Dinneen M. Unconventional Models of Computation, Springer-Verlag, Singapore, 1998.
Calude C S, Dinneen M J, Perez-Jimenez M J, Paun G, Rozenberg G. Unconventional Computation, Springer, Heidelberg, Germany, 2005.
Fuerstman M J, Deschatelets P, Kane R, Schwartz A, Kenis P J A, Deutsch J M, Whitesides G M. Solving mazes using microfluidic networks. Langmuir, 2003, 19, 4714–4722.
Stojanovic M N, Mitchell Y E, Stefanovic D. Deoxyri-bozyme-based logic gates. Journal of the American Chemical Society, 2002, 124, 3555–355.
Lederman H, Macdonald J, Stefanovic D, Stojanovic M N. Deoxyribozyme-based three-input logic gates and construction of a molecular full adder. Biochemistry, 2006, 45, 1194–1199.
Adamatzky A, De Lacy Costello B, Asai T. Reaction-Diffusion Computers, Elsevier, Amsterdam, Holand, 2005.
Nakagaki T, Yamada H, Toth A. Path finding by tube morphogenesis in an amoeboid organism. Biophysical Chemistry, 2001, 92, 47–52.
Tsuda S, Aono M, Gunji Y P. Robust and emergent Physarum logical-computing. BioSystems, 2004, 73, 45–55.
Adamatzky A. Physarum Machines: Computers from Slime Mould, World Scientific, Singapore, 2010.
Miranda E, Adamatzky A, Jones J. Sounds synthesis with slime mould of Physarum Polycephalum. Journal of Bionic Engineering, 2011, 8, 107–113.
Adamatzky A, Jones J. Towards Physarum robots: computing and manipulating on water surface. Journal of Bionic Engineering, 2008, 5, 348–357.
Stephenson S L, Stempen H. Myxomycetes: A Handbook of Slime Molds, Timber Press, Portland, USA, 2000.
Adamatzky A. Developing proximity graphs by Physarum Polycephalum: Does the plasmodium follow Toussaint hi-erarchy? Parallel Processing Letters, 2008, 19, 105–127.
Shirakawa T, Adamatzky A, Gunji Y P, Miyake Y. On simultaneous construction of Voronoi diagram and Delaunay triangulation by Physarum polycephalum. International Journal of Bifurcation and Chaos, 2009, 9, 3109–3117.
Shirakawa T, Gunji Y P, Miyake Y. An associative learning experiment using the plasmodium of Physarum polycepha-lum. Nano Communication Networks, 2011, 2, 99–105.
Adamatzky A. Advances in Physarum machines gates, hulls, mazes and routing with slime mould. In: De Bosschere K, D’Hollander E H, Joubert G R, Padua D, Peters F, Sawyer M (Eds.) Applications, Tools and Techniques on the Road to Exascale Computing, IOS Press, Amsterdam, Netherlands, 2012.
Schumann A, Adamatzky A. Physarum spatial logic. New Mathematics and Natural Computation, 2011, 7, 483–498.
Jones J. Influences on the formation and evolution of Physarum polycephalum inspired emergent transport networks. Natural Computing, 2011, 10, 1345–1369.
Becker M. Design of fault tolerant networks with agent-based simulation of Physarum polycephalum. Proceedings of the IEEE Congress on Evolutionary Computation (CEC), New Orleans, USA, 2011, 285–291.
Adamatzky A. Bio-Evaluation of World Transport Networks, World Scientific, Singapore, 2012.
Massey D S, Arango J, Hugo G, Kouaouchi A, Pellegrino A, Taylor J E. Worlds in Motion: Understanding International Migration at the End of the Millennium. Oxford: Clarendon Press, London, UK, 2005.
Passel J S. The Size and Characteristics of the Unauthorized Migrant Population in the U.S.: Estimates Based on the March 2005 Current Population Survey, Pew Hispanic Center, Washington DC, USA, 2006.
Wilson T D. The culture of Mexican migration. Critique of Anthropology, 2010, 30, 399–420.
Massey D S, Espinosa K E. What’s driving Mexico-US migration? A theoretical empirical and policy analysis. American Journal of Sociology, 1997, 102, 939–999.
Massey D S, Zenteno R M. The dynamics of mass migration. Proceedings of the National Academy of Sciences, 1999, 96, 5328–5335.
Graves P E, Knapp T A. A theory of international migration flows: United States immigration from Mexico. Review of Regional Studies, 1984, 14, W1–W7.
Colussi A. An estimable model of illegal Mexican immigration, [2004-01-01], http://repository.upenn.edu/dissertations/AAI3137997
Rivero-Fuentes E. A comparison of three models of internal migration in Mexico. International Union for the Scientific Study of Population XXV International Population Conference, Tours, France, 2005.
Hanson G H, McIntosh C. The Demography of Mexican Migration to the US. School of International Relations and Pacific Studied, University of California, San Diego, USA.
Chang S H. The effect of migrant networks on Mexican migration, [2009-05-31], https://editorialexpress.com/cgi-bin/conference/download.cgi?db_name=NASM2009&paper_id=654
Eichler S. How Many Illegal Mexican Immigrants Enter the United States, Where, and Why? Forum for Research and Empirical International Trade WP 177, 2010. http://www.freit.org/WorkingPapers/Papers/Immigration/FREIT177.pdf
Thom K. Repeated Circular Migration: Theory and Evidence from Undocumented Migrants. New York University, New York, USA, 2007.
Block I, Briegleb W, Wohlfarth-Bottermann K E. Gravisen-sitivity of the acellular slime mold Physarum polycephalum demonstrated on the fast-rotating clinostat. European Journal of Cell Biology, 1986, 41, 44–50.
Block I, Briegleb W. Potential sites for the perception of gravity in the acellular slime mold Physarum polycephalum. Advances in Space Research, 1989, 9, 75–78.
La migracon a Estados Unidos. Maps y Estadisticas. Instituto Politecnico Nacional. Accessed August, 2012. http://oncetv-ipn.net/migrantes/mapas/#
State Proportion of the Mexican Immigrant Population in the United States and Metropolitan Areas with 250,000 Mexican Immigrants or More, 2010. 2001-2012 Migration Policy Institute. http://www.migrationinformation.org/datahub/maps.cfm
Conway D, Cohen J H. Consequences of migration and remittances for Mexican transnational communities. Eco-nomical Geograph, 1998, 74, 26–44.
Block I, Rabien H, Ivanova K. Involvement of the second messenger cAMP in the gravity-signal transduction in Phy-sarum. Advances in Space Research, 1998, 21, 1311–1314.
Pries L. The disruption of social and geographic space: Mexican-US migration and the emergence of transnational social spaces. International Sociology, 2001, 16, 55–74.
Sandersen M, Utz R. The globalization of economic production and international migration. An empirical analysis of undocumented Mexican migration to the United States. International Journal of Comparative Sociology, 2009, 50, 137–154.
Ge S S, Xuecheng Lai, Mamun A A. Boundary following and globally convergent path planning using instant goals. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2005, 35, 240–254.
Willms A R, Yang S X. An efficient dynamic system for real-time robot-path planning. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2006, 36, 755–766.
Willms A R, Yang S X. Real-time robot path planning via a distance-propagating dynamic system with obstacle clear-ance. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2008, 38, 884–893.
Kurz A. Constructing maps for mobile robot navigation based on ultrasonic range data. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 1996, 26, 233–242.
Araujo R, de Almeida A T. Learning sensor-based navigation of a real mobile robot in unknown worlds. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 1999, 29, 164–178.
Ye C. Navigating a mobile robot by a traversability field histogram. IEEE Transactions on Systems, Man, and Cy-bernetics, Part B: Cybernetics, 2007, 37, 361–372.
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Adamatzky, A., Martinez, G.J. Bio-Imitation of Mexican Migration Routes to the USA with Slime Mould on 3D Terrains. J Bionic Eng 10, 242–250 (2013). https://doi.org/10.1016/S1672-6529(13)60220-6
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DOI: https://doi.org/10.1016/S1672-6529(13)60220-6