Dimensions

PlumX

Cómo citar
Espitia C., H. E., & Sofrony E., J. I. (2016). Revisión sobre modelos de enjambres de partículas con características de vorticidad-Review About Models of Swarms Particles with Vorticity Features. Ingenium, 17(34), 162–182. https://doi.org/10.21500/01247492.2745
Términos de licencia

 

Esta revista proporciona un acceso abierto inmediato a su contenido, basado en el principio de que ofrecer al público un acceso libre a las investigaciones ayuda a un mayor intercambio global de conocimiento.

Por tanto se acoge a la Licencia Creative Commons 4.0 Atribuciones Reconocimiento – NoComercial – CompartirIgual (by-nc-sa): No se permite un uso comercial de la obra original ni de las posibles obras derivadas, la distribución de las cuales se debe hacer con una licencia igual a la que regula la obra original.

http://creativecommons.org/licenses/by-nc-sa/4.0/


Cesión de Derechos:

 

                              UNIVERSIDAD DE SAN BUENAVENTURA, BOGOTÁ

 AUTORIZACIÓN DEL AUTOR DE ESCRITOS ACADÉMICOS PARA SU REPRODUCCIÓN EN REVISTA INGENIUM

Yo______________________________________________________, Autorizo a la Universidad de San Buenaventura, Bogotá, para que en los términos establecidos en la Ley 23 de 1982, Ley 44 de 1993, Decisión Andina 351 de 1993, Decreto 460 de 1995 y demás normas generales sobre derechos de autor, reproduzcan por cualquier medio la totalidad de la ponencia, artículo, conferencia o escrito producto de mi actividad académica y titulado: __________________________________________________________________________________________________________________________________________________

La Universidad de San Buenaventura, Bogotá, hará uso estrictamente académico de este producto sin fines de lucro y asumirá los costos de la reproducción; los autores no solicitarán derechos patrimoniales a la Universidad por esta reproducción, renunciando a lo establecido en el artículo 72 de la ley 23 de 1982. Con todo, en mi condición de autor me reservo los derechos morales de la obra antes citada con arreglo al artículo 30 de la ley 23 de 1982. Como autor o autores, manifestamos que el escrito académico objeto de la presente autorización es original y la realizo sin violar o usurpar derechos de autor de terceros, por lo tanto la obra es de nuestra exclusiva autoría y poseemos la titularidad sobre la misma. En caso de presentarse cualquier reclamación o acción por parte de un tercero en cuanto a los derechos de autor sobre la obra en cuestión, el autor o autores, asumirán toda la responsabilidad, y saldrán en defensa de los derechos aquí autorizados; para todos los efectos la Universidad actúa como un tercero de buena fe.

 

En concordancia suscribo este documento en la Universidad de San Buenaventura, Bogotá, a los ________ días del mes de ____________________ de _________.

 

NOMBRE _______________________________________                                                                                FIRMA    ________________________________________                                                                                                      

DOC. IDENTIDAD__________________________________

 


 


Resumen

En este documento se realiza la revisión sobre diferentes modelos de enjambres
relacionados con el comportamiento de vorticidad, es decir, movimientos circulares
alrededor de un punto llamado vórtice. El comportamiento de vorticidad es característico de los fluidos, motivo por el cual en primer lugar se realiza un acercamiento desde este punto de vista. Por otra parte, sobre los diferentes modelos biológicos se destaca el realizado para el zooplancton Daphnia ya que este ser vivo emplea movimientos circulares para buscar alimento y evadir depredadores. Adicional a los modelos del zooplancton Daphnia se revisan otros enfoques para tener una visión más amplia de  los elementos involucrados para la formación de vórtices en modelos de partículas. Finalmente, se observan posibles aplicaciones de estos modelos para la navegación de robots y optimización.

Palabras clave:

Referencias

[1] P. Romanczuk, L. Schimansky-Geier, «Mean-field theory of collective motion due to velocity alignment», Ecological Complexity,
Vol. 10, 2012, pp. 83-92.
[2] D. Strömbom, «Collective motion from local attraction», Journal of Theoretical Biology, Vol. 283, 2011, pp. 145-151.
[3] T. Kolokolnikov, J. Carrillo, A. Bertozzi, R. Fetecau, M. Lewis, «Emergent behaviour in multi-particle systems with non-local
interactions», Physica D, Vol. 260, 2013, pp. 1-4.
[4] H. Berg, «Random walks in biology», Ed. Expanded. USA: Princeton University Press, 1993.
[5] D. Sedighizadeh, E. Masehian, «Particle swarm optimization methods, taxonomy and applications», International Journal of
Computer Theory and Engineering, Vol. 1, N.° 5, 2009, pp. 486-502.
[6] Y. Çengel, J. Cimbala, «Mecánica de fluidos, fundamentos y aplicaciones», 1rd ed. México: McGraw-Hill, 2007.
[7] C. Jiménez, «Simulación numérica directa en turbulencia», El Hombre y la Máquina, N.° 22, 2004, pp. 26-33.
[8] O. López, «Modelamiento computacional de la calle de vórtices de karman por dinámica de vorticidad», Mecánica
Computacional, Vol. 21, 2002, pp. 274-292.
[9] M. Kalland, «A Navier-Stokes solver for single and two phase flow», Faculty of Mathematics and Natural Sciences University
of Oslo, 2008.
[10] S. Armfield, «Finite difference solutions of the Navier-Stokes equations on staggered and non-staggered grids», Computers
& Fluids, Vol. 20, N.° 1, 1991, pp. 1-17.
[11] C. Duarte, J. Niño, «Introducción a la mecánica de fluidos», 1rd ed. Bogotá: Universidad Nacional de Colombia, 2004.
[12] J. Chen, K. Yang, Y. Yuan, «SPH-based visual simulation of fluid», IEEE Proceedings of 4th International Conference on
Computer Science & Education, 2009, pp. 690-693.
[13] M. Desbrun, M. Gascuel, «Smoothed particles: A new paradigm for animating highly deformable bodies», Proceedings of EG
Workshop on Animation and Simulation, 1996, pp. 61-76.
[14] A. Grahn, «Interactive simulation of contrast fluid using smoothed particle hydrodynamics», UMEA University Sweden, 2008.
[15] J. Vázquez, «Fundamentos matemáticos de la mecánica de fluidos», 1rd ed. Madrid: Departamento de Matemáticas - Universidad
Autónoma de Madrid, 2003.
[16] A. Ordemann, «Vortex-swarming of the zooplankton Daphnia», The Biological Physicist, Vol. 2, N.° 3, 2002, pp. 5-10.
[17] R. Mach, F. Schweitzer, «Modeling vortex swarming in Daphnia», Bulletin of Mathematical Biology, Vol. 69, N.° 2, 2007, pp.
539-562.
[18] T. Vicsek, A. Czirók, B. Eshel, I. Cohen, O. Shochet, «Novel type of phase transition in a system of self-driven particles»,
Physical Review Letters, Vol. 75, N.° 6, 1995, pp. 1226-1229.
[19] H. Levine, W. Rappel, I. Cohen, «Self-organization in systems of self-propelled particles», Physical Review E, Vol. 63, N.° 1,
2000, pp. 017101.
[20] F. Schweitzer, «Active Brownian particles with internal energy depot», Trafic and Granular Flow ’99, 2000, pp. 161-172.
[21] W. Ebeling, F. Schweitzer, B. Tilch, «Active Brownian particles with energy depots modeling animal mobility», Biosystems,
Vol. 49, N.° 1, 1999, pp. 17-29.
[22] F. Schweitzer, W. Ebeling, B. Tilch, «Statistical mechanics of canonical-dissipative systems and applications to swarm dynamics»,
Physical Review E, Vol. 64, N.° 2, 2001, pp. 021110.
[23] U. Erdmann, W. Ebeling, V. Anishchenko, «Excitation of rotational modes in two-dimensional systems of driven Brownian
particles», Physical Review E, Vol. 65, N.° 6, 2002, pp. 061106.
[24] A. Ordemann, G. Balazsi, F. Moss, «Pattern formation and stochastic motion of the zooplankton Daphnia in a light field»,
Physica A, Vol. 325, 2003, pp. 260-266.
[25] R. Mach, F. Schweitzer, «Multi-agent model of biological swarming», Lecture Notes in Computer Science, Vol. 2801, 2003,
pp. 810-820.
[26] E. Ben-Jacob, I. Cohen, A. Czirdk, T. Vicsek, D. Gutnick, «Chemomodulation of cellular movement, collective formation of
vortices by swarming bacteria, and colonial development», Physica A: Statistical Mechanics and its Applications, Vol. 238,
N.° 1-4, 1997, pp. 181-197.
[27] E. Ben-Jacob, «Learning from bacteria about natural information processing», Annals of the New York Academy of
Sciences, Vol. 1178, 2009, pp. 78-90.
[28] E. Steager, C. Kim, M. Kim, «Dynamics of pattern formation in bacterial swarms», Physics of Fluids, Vol. 20, N.° 7. 2008,
pp. 073601 1-5.
[29] T. Umeda, K. Inouve, «Possible role of contact following in the generation of coherent motion of dictyostelium cells»,
Journal of Theoretical Biology, Vol. 219, N.° 3, 2002, pp. 301-308.
[30] A. Mikhailov, V. Calenbuhr, «From cells to societies: models of complex coherent action», 1rd ed. Berlin: Springer-Verlag,
2002.
[31] T. Vicsek, A. Zafeiris, «Collective motion», Physics Reports, Vol. 517, 2012, pp. 71-140.
[32] Gabriel Baglietto, Ezequiel V. Albano, Julián Candia, «Gregarious versus individualistic behavior in Vicsek swarms and
the onset of first-order phase transitions», Physica A, Vol. 392, 2013, pp. 3240-3247.
[33] W. Ebeling, U. Erdmann, «Nonequilibrium statistical mechanics of swarms of driven particles», Complexity, Vol. 8, N.°
4, 2003, pp. 23-30.
[34] J. Liu, C. Chang, «Novel orthogonal momentum-type particle swarm optimization applied to solve large parameter
optimization problems», Journal of Artificial EVolution and Applications, 2008, pp. 1-9.
[35] W. Ebeling, F. Schweitzer, «Self-organization, active Brownian dynamics, and biological applications», Nova Acta Leopoldina
NF, Vol. 88, N.° 332, 2003, pp. 169-188.
[36] R. Mach, F. Schweitzer, «Modeling vortex swarming in Daphnia», Bulletin of Mathematical Biology, Vol. 69, Num. 2, 2007.
[37] P. Chavanis, «Brownian particles with long and short range interactions», Physica A, Vol. 390, 2011, pp. 1546-1574.
[38] D. Wu, S. Zhu, «Effects of diversity and coupling on transport properties of globally coupled active Brownian particles»,
Physica A, Vol. 392, 2013, pp. 1280-1286.
[39] W. Ebeling, «Active Brownian motion of pairs and swarms of particles», Acta Physica Polonica B, Vol. 38, N.° 5, 2007,
pp. 1657.
[40] [ U. Erdmann, W. Ebeling, «Collective motion of brownian particles with hydrodynamic interactions», Fluctuation and Noise
Letters, Vol. 3, N.° 2, 2003, pp. 145-154.
[41] D. Helbing, P. Molnár, F. Schweitzer, «Computer simulations of pedestrian dynamics and trail formation», Evolution of
Natural Structures, 1994, pp. 229-234.
[42] W. Ebeling, L. Schimansky, «Swarm dynamics attractors and bifurcations of active Brownian motion», The European
Physical Journal Special Topics, Vol. 157, N.° 1, 2008, pp. 17-31.
[43] W. Guo, C. Wang, L. Du, D. Mei, «Effects of time delay on transport processes in an active Brownian particle», Physica
A, Vol. 392, 2013, pp. 4210-4215.
[44] O. Chepizhko, V. Kulinskii, «The hydrodynamic description for the system of self-propelled particles: Ideal Viscek fluid»,
Physica A, Vol. 415, 2014, pp. 493-502.
[45] R. Lukeman, «Modeling collective motion in animal groups: From mathematical analysis to field data», The University of
British Columbia, 2009.
[46] R. Lukeman, Y. Li, L. Edelstein, «A conceptual model for milling formations in biological aggregates», Bulletin of Mathematical
Biology, Vol. 71, N.° 2, 2009, pp. 352-382
[47] S. You, D. Kwon, Y. Park, S. Kim, M. Chung, C. Kookim, «Collective behaviors of two-component swarms», Journal of
Theoretical Biology, Vol. 261, N.° 3, 2009, pp. 494-500.
[48] I. Couzin, J. Krause, N. Franks, S. Levin, «Effective leadership and decision making in animal groups on themove», Letters
to Nature, Vol. 433, 2005, pp. 513-516.
[49] [49] T. Zohdi, «Mechanistic modeling of swarms», Computer Methods in Applied Mechanics and Engineering, Vol. 198, N.°
21-26, 2009, pp. 2039-2051.
[50] [50] C. McInnes, «Vortex formation in swarms of interacting particles», Physical Review E, Vol. 75, 2007, pp. 032904.
[51] [51] F. Vecil, P. Lafitte, J. Linares, «A numerical study of attraction/repulsion collective behavior models: 3D particle analyses
and 1D kinetic simulations», Physica D, Vol. 260, 2013, pp. 127-144.
[52] J. A. Carrillo, S. Martin, V. Panferov, «A new interaction potential for swarming models», Physica D, Vol. 260, pp. 2013,
pp. 112-126.
[53] D. Grossman, I. Aranson, E. Jacob, «Emergence of agent swarm migration and vortex formation through inelastic collisions»,
New Journal of Physics, Vol. 10, 2008, pp. 1-11.
[54] J. Cohen, «Models and simulation of collective motion biomimetic robots and bacteria», USA: Massachusetts Institute
of Technology, 2007.
[55] W. Alt, «Nonlinear hyperbolic systems of generalized Navier-Stokes type for interactive motion in biology», Geometric
Analysis and Nonlinear Partial Differential Equations, 2003, pp. 431-461.
[56] J. Carrillo, M. Fornasier, G. Toscani, F. Vecil, «Particle, kinetic, and hydrodynamic models of swarming», Boston: Birkhäuser,
Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences, 2009, pp. 297-336.
[57] N. Mecholsky, «A continuum model for flocking: Obstacle avoidance, equilibrium, and stability», University of Maryland,
2010.
[58] G. Venayagamoorthy, L. Grant, S. Doctor, «Collective robotic search using hybrid techniques: Fuzzy logic and swarm
intelligence inspired by nature», Engineering Applications of Artificial Intelligence, Vol. 22, N.° 3, 2009, pp. 431-441.
[59] M. Mabrouk, C. McInnes, «Wall following to escape local minima for swarms of agents using internal states and emergent
behavior», Proceedings of the World Congress on Engineering, 2008, pp. 24-31.
[60] K. Stantz, S. Cameron, R. Robinett, M. Trahan, J. Wagner, J. «Dynamical behavior of multi-robot systems using lattice
gas automat», Proceedings of SPIE’s 13th Annual International Symposium on Aerospace/Defense Sensing, Simulation, and
Controls, 1999, pp. 1-13.
[61] S. Cameron, G. Loubriel, R. Robinett III, K. Stantz, M. Trahan, J. Wagner, «Adaptive remote-sensing techniques
implementing swarms of mobile agent», Proceedings of the SPIE The International Society for Optical Engineering, 1999,
pp. 160-177.
[62] B. Ren, H. Pei, Z. Sun, S. Ge, T. Lee, «Decentralized cooperative control for swarm agents with high-order dynamics»,
Proceedings of the IEEE International Conference on Automation and Logistics, 2009, pp. 90-95.
[63] S. Hou, C. Cheah, J. Slotine, «Dynamic region following formation control for a swarm of robots», IEEE International
Conference on Robotics and Automation, 2009, pp. 1929-1934.
[64] H. Min, Z. Wang, «Design and Analysis of Group Escape Behavior for Distributed Autonomous Mobile Robots», IEEE
International Conference on Robotics and Automation, 2011, pp. 6128-6135.
[65] G. Rigatos, «Multi-robot motion planning using swarm intelligence», International Journal of Advanced Robotic Systems,
Vol. 5, N.° 2, 2008, pp. 139-144.
[66] J. Hereford, «A distributed particle swarm optimization algorithm for swarm robotic applications», IEEE Congress on
EVolutionary Computation, 2006, pp. 1678-1685.
[67] Y. Meng, O. Kazeem, «A hybrid ACO/PSO control algorithm for distributed swarm robots», Proceedings of IEEE Swarm
Intelligence Symposium SIS, 2007, pp. 273-280.
[68] A. Gasparri, A. Priolo, G. Ulivi, «A Swarm Aggregation Algorithm for Multi-Robot Systems based on Local Interaction»,
IEEE International Conference on Control Applications (CCA), 2012, pp. 1497-1502.
[69] S. Chen, X. Ding, X. Chen, «Formation Control of Robot Swarm Based on Community Division and Multilevel Topology
Design via Pining», The 26th Chinese Control and Decision Conference (CCDC), 2014, pp. 1631-1636.
[70] A. Chatterjee, F. Matsuno, «Bacterial foraging techniques for solving EKF-based SLAM problems», International Control
Conference ICC, 2006, pp. 1-6.
[71] M. Pac, A. Erkmen, I. Erkmen, «Control of robotic swarm behaviors based on smoothed particle hydrodynamics»,
Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, 2007, pp. 4194-4200.
[72] M. Shimizu, A. Ishiguro, T. Kawakatsu, Y. Masubuchi, M. Doi, «Adaptive swarming by exploiting hydrodynamic interaction
based on stokesian dynamics method», IEEE SICE Annual Conference (Volume: 2), 2003, pp. 1546-1551.
[73] D. Spears, D. Thayer, D. Zarzhitsky, «Foundations of swarm robotic chemical plume tracing from a fluid dynamics
perspective», International Journal of Intelligent Computing and Cybernetics, Vol. 2, N.° 4, 2009, pp. 745-785.
[74] D. Spears, W. Kerr, W. Spears, «Fluid-like swarms with predictable macroscopic behavior», Lecture Notes in Computer
Science, Vol. 4324, 2009, pp. 175-190.
[75] B. Siva, «A survey of bio inspired optimization algorithms», International Journal of Soft Computing and Engineering
(IJSCE), Vol. 2, N.° 2, 2012, pp. 137-151.
[76] R. Eberhart, J. Kennedy, «Particle swarm optimization», IEEE International Conference on Neural Networks, 1995, pp.
1942-1948.
[77] M. Dorigo, T Stützle, «The ant colony optimization metaheuristic: algorithms, applications, and advances», Handbook of
Metaheuristics, Vol. 57, Chapter 9, 2002, pp. 250-285.
[78] X. Yang, «A new metaheuristic bat-inspired algorithm», Studies in Computational Intelligence, Vol. 284, 2010, pp. 65-74.
[79] X. Yang, «Firefly algorithm, lévy flights and global optimization», Research and Development in Intelligent Systems XXVI,
2009, pp. 209-218.
[80] R. Akbari, A. Mohammadi, K. Ziarati, «A powerful bee swarm optimization algorithm», IEEE 13th International Multitopic
Conference INMIC, 2009, pp. 1-6.
[81] K. Passino, «Biomimicry of bacterial foraging for distributed optimization and control», IEEE Control Systems Magazine,
Vol. 22, N.° 3, 2002, pp. 52-67.
[82] S. Menser, J. Hereford, «A new optimization technique», Proceedings of the IEEE SoutheastCon, 2006, pp. 250-255.
[83] J. Fieldsend, S. Singh, «A multi-objective algorithm based upon particle swarm optimisation, an efficient data structure
and turbulence», Workshop on Computational Intelligence UKCI, 2002, pp. 37-44.
[84] A. Cervantes, «Clasificación mediante enjambre de prototipos», Madrid, España: Universidad Carlos III de Madrid,
Departamento de Informática, 2009.
[85] K. Deb, N. Padhye, «Development of efficient Particle Swarm Optimizers by using concepts from eVolutionary algorithms»,
Proceedings of the 12th annual conference on Genetic and eVolutionary computation, GECCO ’10. Portland, Oregon: ACM,
2010, pp. 55-62.
[86] S. He, Q. Wu, J. Wen, J. Saunders, P. Patton, «A particle swarm optimizer with passive congregation», Biosystems, Vol.
78, N.° 1-3, 2004, pp. 135-147.
[87] J. Vlachogiannis, K. Lee, «A comparative study on particle swarm optimization for optimal steady-state performance of
power systems», IEEE Transactions on Power Systems, Vol. 21, N.° 4, 2006, pp. 1718-1728.
[88] L. Dos Santos, «A quantum particle swarm optimizer with chaotic mutation operador», Chaos Solitons y Fractals, Vol.
37, N.° 5, 2006, pp. 1409-1418.
[89] [89] M. Chen, T. Wang, J. Feng, Y. Tang, L. Zhao, «A Hybrid Particle Swarm Optimization Improved by Mutative Scale Chaos
Algorithm», Fourth International Conference on Computational and Information Sciences, 2012, pp. 321-324.
[90]K. Tatsumi, T. Ibuki, T. Tanino, «Chaotic particle swarm optimization with an intensive search around the personal and
global bests», IEEE International Conference on Systems, Man, and Cybernetics, 2012, pp. 1333-1338.
[91] K. Tatsumi, T. Ibuki, S. Nakashima, T. Tanino, «Improved chaotic particle swarm optimization with a perturbation-based
chaotic system for a virtual quartic function», IEEE International Conference on Systems, Man, and Cybernetics, 2013, pp.
208-213.
[92] J. Li, Y. Cheng, K. Chen, «Chaotic Particle Swarm Optimization Algorithm Based on Adaptive Inertia Weight», the 26th
Chinese Control and Decision Conference (CCDC), 2014, pp. 1310-1315.
[93] P. Acharjee, S. Goswami, «Chaotic particle swarm optimization based robust load flow», Electrical Power and Energy
Systems, Vol. 32, N.° 2, 2010, pp. 141-146.
[94] L. Li, H. Peng, X. Wang, «An optimization method inspired by chaotic ant behavior», International Journal of Bifurcation
and Chaos, Vol. 16, N.° 08, 2006, pp. 2351-2364.
[95] L. Yu-Ying, W. Qiao-Yan, L. Li-Xiang, «Modified chaotic ant swarm to function optimization», The Journal of China
Universities of Posts and Telecommunications, Vol. 16, N.° 1, 2009, pp. 58-63.
[96] J. Cai, X. Ma, L. Li, Y. Yang, H. Peng, X. Wang, «Chaotic ant swarm optimization to economic dispatch», Electric Power
Systems Research, Vol. 77, N.° 10, 2007, pp. 1373-1380.
[97] L. Dos Santos, V. Cocco, «Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for
economic load dispatch with valve-point effects», Energy Conversion and Management, Vol. 49, N.° 11, 2008, pp. 3080-3085.
[98] K. Tazuke, N. Muramoto, N. Matsui, T. Isokawa, «An Application of Quantum-Inspired Particle Swarm Optimization to
Function Optimization Problems», the 2013 International Joint Conference on Neural Networks (IJCNN), 2013, pp. 1-6.
[99] X. Liu, X. Liu, «Quantum Particle Swarm Optimization Based on Bloch Coordinates of Qubits», Ninth International
Conference on Natural Computation (ICNC), 2013, pp. 554-558.
[100] H. Yu, X. Tiantian, H. Pu, «An Improved Quantum Particle Swarm Optimization and Its Application in System Identification»,
the 26th Chinese Control and Decision Conference (CCDC), 2014, pp. 1132-1134.
[101] L. Jun-Hui, L. Na, «Parallel Adaptive Immune Quantum-Behaved Particle Swarm Optimization Algorithm (PAIQPSO)»,
Second International Conference on Intelligent System Design and Engineering Application, 2012, pp. 435-438.
[102] L. Xu, L. Zhang, J. Dang, «Quantum-behaved particle swarm optimization with Cauchy disturbance for power economic
dispatch», 4th International Conference on Intelligent Human-Machine Systems and Cybernetics, 2012, pp. 268-271.
[103] S. Jiang, S. Yang, «An Improved Quantum-behaved Particle Swarm Optimization Algorithm Based on Linear Interpolation»,
IEEE Congress on Evolutionary Computation (CEC), 2014, pp. 769-775.

Descargas

Los datos de descargas todavía no están disponibles.

Citado por

Datos de la Publicación

Métrica
Éste artículo
Otros artículos
Pares Evaluadores 
0
2.4

Perfiles de revisores  N/D

Declaraciones del autor

Declaraciones del autor
Éste artículo
Otros artículos
Datos de Investigación 
No
16%
Financiación externa 
N/D
32%
Conflicto de Intereses 
N/D
11%
Métrica
Para esta revista
Otras Revistas
Tasa de aceptación 
0%
33%
Tiempo publicación (días) 
0
145
Editor y consejo editorial:
Perfiles
Editora: 
Universidad San Buenaventura - USB (Colombia)