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Other Buds in Membrane Computing

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Enjoying Natural Computing

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11270))

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Abstract

It is well-known the huge Mario’s contribution to the development of Membrane Computing. Many researchers may relate his name to the theory of complexity classes in P systems, the research of frontiers of the tractability or the application of Membrane Computing to model real-life situations as the Quorum Sensing System in Vibrio fischeri or the Bearded Vulture ecosystem. Beyond these research areas, in the last years Mario has presented many new research lines which can be considered as buds in the robust Membrane Computing tree. Many of them were the origin of new research branches, but some others are still waiting to be developed. This paper revisits some of these buds.

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Notes

  1. 1.

    Such model of P systems with dynamic communication graphs is another of the many buds which is waiting to be explored. It follows the same lines as the one presented in [12, 13].

  2. 2.

    These ideas were also considered in [37], but it is still one of the most promising buds waiting to be developed.

  3. 3.

    At the moment of writing this paper (April 2018), according to Scopus, Mario has published in collaboration with 150 co-authors. This fact can give an idea of Mario’s role as an engine of the P systems community.

References

  1. Alhazov, A., Sburlan, D.: Static sorting P systems. In: Ciobanu et al. [16], pp. 215–252. https://doi.org/10.1007/3-540-29937-8_8

  2. Ardelean, I.I., Ceterchi, R., Tomescu, A.I.: Sorting with P systems: a biological perspective. Rom. J. Inf. Sci. Technol. 11(3), 243–252 (2008). http://www.imt.ro/romjist/Volum11/Number11_3/pdf/03-Ardelean.pdf

  3. Batcher, K.E.: Sorting networks and their applications. In: American Federation of Information Processing Societies: AFIPS Conference Proceedings: 1968 Spring Joint Computer Conference, Atlantic City, NJ, USA, vol. 32, pp. 307–314. Thomson Book Company, Washington D.C. http://doi.acm.org/10.1145/1468075.1468121

  4. Ben-Jacob, E., Schochet, O., Tenenbaum, A., Cohen, I., Czirok, A., Vicsek, T.: Generic modelling of cooperative growth patterns in bacterial colonies. Nature 368(6466), 46–49 (1994). https://www.nature.com/articles/368046a0

    Article  Google Scholar 

  5. Cabarle, F.G.C., Adorna, H., Martínez, M.A.: A spiking neural P system simulator based on CUDA. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds.) CMC 2011. LNCS, vol. 7184, pp. 87–103. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-28024-5_8

    Chapter  Google Scholar 

  6. Cantor, G.: Über unendliche, lineare punktmannichfaltigkeiten v. Math. Ann. 21, 545–591 (1883). https://doi.org/10.1007/BF01446819

    Article  MathSciNet  Google Scholar 

  7. Cardona, M., Colomer, M., Conde, J., Miret, J., Miró, J., Zaragoza, A.: Markov chains: computing limit existence and approximations with DNA. Biosystems 81(3), 261–266 (2005). http://www.sciencedirect.com/science/article/pii/S0303264705000663

    Article  Google Scholar 

  8. Cardona, M., Colomer, M.A., Pérez-Jiménez, M.J.: Characterizing the aperiodicity of irreducible Markov chains by using P systems. In: Gutiérrez-Escudero et al. [29], pp. 81–95, https://idus.us.es/xmlui/handle/11441/38857

  9. Cardona, M., Colomer, M.A., Pérez-Jiménez, M.J., Sanuy, D., Margalida, A.: Modeling ecosystems using P systems: the bearded vulture, a case study. In: Corne, D.W., Frisco, P., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2008. LNCS, vol. 5391, pp. 137–156. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-95885-7_11

    Chapter  Google Scholar 

  10. Cardona, M., Colomer, M.Á., Pérez-Jiménez, M.J., Zaragoza, A.: Handling Markov chains with membrane computing. In: Gutiérrez-Naranjo, M.A., et al. (eds.) Fourth Brainstorming Week on Membrane Computing, vol. I, pp. 99–111. Fénix Editora, Sevilla (2006). https://idus.us.es/xmlui/handle/11441/36996

    Google Scholar 

  11. Ceterchi, R., Pérez-Jiménez, M.J.: On two-dimensional mesh networks and their simulation with P systems. In: Mauri et al. [49], pp. 259–277. https://doi.org/10.1007/978-3-540-31837-8_15

    Chapter  Google Scholar 

  12. Ceterchi, R., Pérez-Jiménez, M.J.: A perfect shuffle algorithm for reduction processes and its simulation with P systems. In: International Conference on Computers and Communications, pp. 92–97 (2004). http://www.cs.us.es/~marper/investigacion/oradea.pdf

  13. Ceterchi, R., Pérez-Jiménez, M.J.: Simulating shuffle-exchange networks with P systems. In: Păun et al. [55], pp. 117–129. https://idus.us.es/xmlui/handle/11441/34641

  14. Ceterchi, R., Pérez-Jiménez, M.J., Tomescu, A.I.: Simulating the bitonic sort using P systems. In: Eleftherakis, G., Kefalas, P., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2007. LNCS, vol. 4860, pp. 172–192. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-77312-2_11

    Chapter  Google Scholar 

  15. Ceterchi, R., Pérez-Jiménez, M.J., Tomescu, A.I.: Sorting omega networks simulated with P systems: optimal data layouts. In: Díaz-Pernil et al. [20], pp. 79–92. https://idus.us.es/xmlui/bitstream/handle/11441/68018/dl-ps-4a.pdf

  16. Ciobanu, G., Pérez-Jiménez, M.J., Păun, Gh. (eds.): Applications of Membrane Computing. Natural Computing. Springer, Heidelberg (2006). https://doi.org/10.1007/3-540-29937-8

    Google Scholar 

  17. Clar, S., Drossel, B., Schwabl, F.: Forest fires and other examples of self-organized criticality. J. Phys.: Condens. Matter 8(37), 6803 (1996). http://stacks.iop.org/0953-8984/8/i=37/a=004

    Google Scholar 

  18. Cordón-Franco, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Exploring computation trees associated with P systems. In: Mauri et al. [49], pp. 278–286. https://doi.org/10.1007/978-3-540-31837-8_16

    Chapter  Google Scholar 

  19. Cordón-Franco, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Weak metrics on configurations of a P system. In: Păun et al. [55], pp. 139–151. https://idus.us.es/xmlui/handle/11441/34641

  20. Díaz-Pernil, D., Graciani, C., Gutiérrez-Naranjo, M.A., Păun, Gh., Pérez-Hurtado, I., Riscos-Núñez, A. (eds.): Sixth Brainstorming Week on Membrane Computing. Fénix Editora, Sevilla (2008)

    Google Scholar 

  21. Ehrenfeucht, A., Rozenberg, G.: Basic notions of reaction systems. In: Calude, C.S., Calude, E., Dinneen, M.J. (eds.) DLT 2004. LNCS, vol. 3340, pp. 27–29. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-30550-7_3

    Chapter  Google Scholar 

  22. Ehrenfeucht, A., Rozenberg, G.: Reaction systems. Fundam. Inform. 75(1–4), 263–280 (2007). http://content.iospress.com/articles/fundamenta-informaticae/fi75-1-4-15

    MathSciNet  MATH  Google Scholar 

  23. Frijters, D., Lindenmayer, A.: A model for the growth and flowering of aster novae-angliae on the basis of table \({<}1, 0{>}\) L-systems. In: Rozenberg, G., Salomaa, A. (eds.) L Systems. LNCS, vol. 15, pp. 24–52. Springer, Heidelberg (1974). https://doi.org/10.1007/3-540-06867-8_2

    Chapter  MATH  Google Scholar 

  24. Frisco, P., Gheorghe, M., Pérez-Jiménez, M.J.: Applications of Membrane Computing in Systems and Synthetic Biology. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-03191-0

    Book  Google Scholar 

  25. Georgiou, A., Gheorghe, M.: Generative devices used in graphics. In: Alhazov, A., Martín-Vide, C., Păun, Gh. (eds.) Preproceedings of the Workshop on Membrane Computing. Technical report, vol. 28/03, pp. 266–272. Research Group on Mathematical Linguistics, Universitat Rovira i Virgili, Tarragona (2003)

    Google Scholar 

  26. Georgiou, A., Gheorghe, M., Bernardini, F.: Membrane-based devices used in computer graphics. In: Ciobanu, G., Păun, Gh., Pérez-Jiménez, M.J. (eds.) Applications of Membrane Computing. Natural Computing, pp. 253–281. Springer, Heidelberg (2006). https://doi.org/10.1007/3-540-29937-8_9

  27. Graciani, C., Păun, Gh., Romero-Jiménez, A., Sancho-Caparrini, F. (eds.): Fourth Brainstorming Week on Membrane Computing, vol. II. Fénix Editora, Sevilla (2006)

    Google Scholar 

  28. Graciani-Díaz, C., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: A membrane computing model for ballistic depositions. In: Gutiérrez-Naranjo, M.A. et al. (eds.) Fifth Brainstorming Week on Membrane Computing, pp. 179–197. Fénix Editora, Sevilla (2007). https://idus.us.es/xmlui/handle/11441/38583

  29. Gutiérrez-Escudero, R., Gutiérrez-Naranjo, M.A., Păun, Gh., Pérez-Hurtado, I., Riscos-Núñez, A. (eds.): Seventh Brainstorming Week on Membrane Computing, vol. I. Fénix Editora, Sevilla (2009)

    Google Scholar 

  30. Gutiérrez-Naranjo, M.A., Martínez-del-Amor, M.A., Pérez-Hurtado, I., Pérez-Jiménez, M.J.: Solving the N-queens puzzle with P systems. In: Gutiérrez-Escudero et al. [29], pp. 199–210. https://idus.us.es/xmlui/handle/11441/38865

  31. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Fractals and P systems. In: Graciani et al. [27], pp. 65–86. https://idus.us.es/xmlui/handle/11441/38328

  32. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: A first model for Hebbian learning with spiking neural P systems. In: Díaz-Pernil et al. [20], pp. 211–233. https://idus.us.es/xmlui/handle/11441/38778

  33. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Computing backwards with P systems. In: Gutiérrez-Escudero et al. [29], pp. 211–226. https://idus.us.es/xmlui/handle/11441/38866

  34. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Membrane computing meets artificial intelligence: a case study. In: Martínez del Amor et al. [47], pp. 133–144. https://idus.us.es/xmlui/handle/11441/39004

  35. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Implementing local search with membrane computing. In: Martínez del Amor et al. [48], pp. 159–168. https://idus.us.es/xmlui/handle/11441/39476

  36. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: An approach to the degree of parallelism in P systems. In: Graciani-Díaz et al. [27], pp. 87–104. https://idus.us.es/xmlui/handle/11441/38335

  37. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A., Romero-Campero, F.J.: How to express tumours using membrane systems. Prog. Nat. Sci. 17(4), 449–457 (2007). http://www.tandfonline.com/doi/abs/10.1080/10020070708541022

    Article  MathSciNet  Google Scholar 

  38. Gutiérrez–Naranjo, M.A., Pérez–Jiménez, M.J., Riscos–Núñez, A., Romero–Campero, F.J.: On the power of dissolution in P systems with active membranes. In: Freund, R., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2005. LNCS, vol. 3850, pp. 224–240. Springer, Heidelberg (2006). https://doi.org/10.1007/11603047_16

    Chapter  MATH  Google Scholar 

  39. Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A., Romero-Campero, F.J.: Computational efficiency of dissolution rules in membrane systems. Int. J. Comput. Math. 83(7), 593–611 (2006). https://doi.org/10.1080/00207160601065413

    Article  MathSciNet  MATH  Google Scholar 

  40. Haykin, S.S.: Neural Networks and Learning Machines, 3rd edn. Pearson Education, Upper Saddle River (2009)

    Google Scholar 

  41. Hebb, D.O.: The Organization of Behavior: A Neuropsychological Theory. Wiley, New York (1949)

    Google Scholar 

  42. Ionescu, M., Păun, Gh., Yokomori, T.: Spiking neural P systems. Fundam. Inform. 71(2–3), 279–308 (2006). http://content.iospress.com/articles/fundamenta-informaticae/fi71-2-3-08

  43. Koch, H.v.: Sur une courbe continue sans tangente, obtenue par une construction géométrique élémentaire. Arkiv för Matematik, Astronomi och Fysik 1, 681–704 (1904)

    Google Scholar 

  44. von Koch, H.: Une méthode géometrique élémentaire pour l’étude de certaines questions de la théorie des courbes planes. Acta Math. 30, 145–174 (1906). https://doi.org/10.1007/BF02418570

    Article  MathSciNet  MATH  Google Scholar 

  45. Lindenmayer, A.: Developmental systems without cellular interactions, their languages and grammars. J. Theor. Biol. 30(3), 455–484 (1971)

    Article  Google Scholar 

  46. Macías-Ramos, L.F., Martínez-del-Amor, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A., Valencia-Cabrera, L.: Unconventional approaches to tackle the P Versus NP problem. In: Păun, Gh., Rozenberg, G., Salomaa, A. (eds.) Discrete Mathematics and Computer Science. Memoriam Alexandru Mateescu (1952–2005), pp. 223–237. The Publishing House of the Romanian Academy (2014)

    Google Scholar 

  47. Martínez del Amor, M.A., Păun, Gh., Pérez Hurtado, I., Riscos-Núñez, A. (eds.): Eighth Brainstorming Week on Membrane Computing. Fénix Editora, Sevilla (2010)

    Google Scholar 

  48. Martínez del Amor, M.A., Păun, Gh., Pérez Hurtado, I., Romero Campero, F.J., Valencia-Cabrera, L. (eds.): Ninth Brainstorming Week on Membrane Computing. Fénix Editora, Sevilla (2011)

    Google Scholar 

  49. Mauri, G., Păun, Gh., Pérez-Jiménez, M.J., Rozenberg, G., Salomaa, A. (eds.): WMC 2004. LNCS, vol. 3365. Springer, Heidelberg (2005). https://doi.org/10.1007/b106721

    Google Scholar 

  50. Peng, H., Zhang, J., Wang, J., Wang, T., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Membrane clustering: a novel clustering algorithm under membrane computing. In: Macías-Ramos, L.F. et al. (eds.) Twelfth Brainstorming Week on Membrane Computing, pp. 311–327. Fénix Editora, Sevilla (2014). https://idus.us.es/xmlui/handle/11441/33577

  51. Pérez–Jiménez, M.J.: A computational complexity theory in membrane computing. In: Păun, Gh., Pérez-Jiménez, M.J., Riscos-Núñez, A., Rozenberg, G., Salomaa, A. (eds.) WMC 2009. LNCS, vol. 5957, pp. 125–148. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-11467-0_10

    Chapter  Google Scholar 

  52. Pérez-Jiménez, M.J., Riscos-Núñez, A., Romero-Jiménez, A., Woods, D.: Complexity - membrane division, membrane creation. In: Păun et al. [57], pp. 302–336

    Google Scholar 

  53. Pérez-Jiménez, M.J., Sancho-Caparrini, F.: A formalization of transition P systems. Fundam. Inform. 49(1–3), 261–272 (2002). http://content.iospress.com/articles/fundamenta-informaticae/fi49-1-3-20

    MathSciNet  MATH  Google Scholar 

  54. Păun, Gh., Pérez-Jiménez, M.J.: Towards bridging two cell-inspired models: P systems and R systems. In: Martínez del Amor et al. [48], pp. 305–316. https://idus.us.es/xmlui/handle/11441/39575

  55. Păun, Gh., Riscos-Núñez, A., Romero-Jiménez, Á., Sancho-Caparrini, F. (eds.): Second Brainstorming Week on Membrane Computing. Fénix Editora, Sevilla (2004)

    Google Scholar 

  56. Păun, Gh., Pérez-Jiménez, M.J., Rozenberg, G.: Bridging membrane and reaction systems – Further results and research topics. In: Valencia-Cabrera, L., et al. (eds.) Eleventh Brainstorming Week on Membrane Computing, pp. 243–256. Fénix Editora, Sevilla, February 2013. https://idus.us.es/xmlui/handle/11441/33819

  57. Păun, Gh., Rozenberg, G., Salomaa, A. (eds.): The Oxford Handbook of Membrane Computing. Oxford University Press, Oxford (2010)

    Google Scholar 

  58. Rivero-Gil, E., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: Graphics and P systems: experiments with JPLANT. In: Díaz-Pernil et al. [20], pp. 241–253. https://idus.us.es/xmlui/handle/11441/38787

  59. Romero-Campero, F.J., Pérez-Jiménez, M.J.: A model of the quorum sensing system in Vibrio fischeri using P systems. Artif. Life 14(1), 95–109 (2008). https://doi.org/10.1162/artl.2008.14.1.95

    Article  Google Scholar 

  60. Romero-Jiménez, A., Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J.: The growth of branching structures with P systems. In: Graciani et al. [27], pp. 253–265. http://www.gcn.us.es/4BWMC/vol2/thegrowth.pdf

  61. Jiménez, Á.R., Pérez Jiménez, M.J.: Generation of diophantine sets by computing P systems with external output. In: Calude, C.S., Dinneen, M.J., Peper, F. (eds.) UMC 2002. LNCS, vol. 2509, pp. 176–190. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45833-6_15

    Chapter  MATH  Google Scholar 

  62. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning representations by back-propagating errors. Nature 323, 533–536 (1986)

    Article  Google Scholar 

  63. Sosic, R., Gu, J.: Efficient local search with conflict minimization: a case study of the N-queens problem. IEEE Trans. Knowl. Data Eng. 6(5), 661–668 (1994)

    Article  Google Scholar 

  64. Sutherland, D.: Comments on Vold’s simulation of floc formation. J. Colloid Interface Sci. 22(3), 300–302 (1966). http://www.sciencedirect.com/science/article/pii/0021979766900373

    Article  Google Scholar 

  65. Vold, M.J.: A numerical approach to the problem of sediment volume. J. Colloid Sci. 14(2), 168–174 (1959). http://www.sciencedirect.com/science/article/pii/0095852259900418

    Article  Google Scholar 

  66. Zeng, X., Adorna, H., Martínez-del-Amor, M.Á., Pan, L., Pérez-Jiménez, M.J.: Matrix representation of spiking neural P systems. In: Gheorghe, M., Hinze, T., Păun, G., Rozenberg, G., Salomaa, A. (eds.) CMC 2010. LNCS, vol. 6501, pp. 377–391. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-18123-8_29

    Chapter  Google Scholar 

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Gutiérrez-Naranjo, M.A. (2018). Other Buds in Membrane Computing. In: Graciani, C., Riscos-Núñez, A., Păun, G., Rozenberg, G., Salomaa, A. (eds) Enjoying Natural Computing. Lecture Notes in Computer Science(), vol 11270. Springer, Cham. https://doi.org/10.1007/978-3-030-00265-7_12

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