e69bd241-25ea-4882-914d-c9f19201594920210218094952228wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS1109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40512720202720201910.37394/23206.2020.19http://wseas.org/wseas/cms.action?id=23185The Topology of Neuronal Structures Exposed to Cosmic RadiationArmelMaganga MihindouFaculty of Sciences, Rabat, Department of Mathematics, Rabat, MOROCCOMy IsmailMamouniCRMEF Rabat, Morocco, Department of Mathematics, Rabat, MOROCCOIn this paper, we focus on some leader NASA experiences to explore how cosmic radiation caused significant reductions in dendrite and spine complexity. We adopt a topological data analysis approach and extract more information then the classical methods. Our key idea is to use the NASA images of the neural networks of some mouses that were exposed 12 weeks to cosmic radiation. We associate to this neural network code bares that give us more information, that that given by the original experiences.572020572020265274https://www.wseas.org/multimedia/journals/mathematics/2020/a525106-1199.pdf10.37394/23206.2020.19.26http://www.wseas.org/multimedia/journals/mathematics/2020/a525106-1199.pdf10.1016/j.lssr.2014.06.003F.A. Cucinotta, M. Alp, F. M. Sulzman and M.Wang.Space radiation risks to the central nervous system, Life Sciences in Space Research,Vol.2(2014)54-69.G. Carlsson.Topology and data. Bull. AMS, vol.46 (2009), 255-308.10.1142/s0218654305000761G. Carlsson, A. Zomorodian, A. Collins, and L.Guibas. Persistence barcodes for shapes, International Journal of Shape Modeling, vol.11 (2005),149-187.10.1007/s00454-002-2885-2H. Edelsbrunner, D. Letscher, and A. Zomorodian.Topological persistence and simplification.Discrete Comput. Geom., vol28(2002), 511-533.10.1090/conm/453/08802H. Edelsbrunner, J. Harer. Persistent homology: a survey. Contemporary mathematics, 453 (2008), 257-282.H. Edelsbrunner, J. Harer. Computational Topology: An introduction. American Mathematical Society, Providence (2010).E. Fermi,On the origin of cosmic radiation. Phys. Rev. 75( 1949), 1169-1174.A. Hatcher.Algebraic topology, Cambridge University Press (2002).J. R. Munkres.Elements of Algebraic Topology, Addison-Wesley, Redwood City, California (1984).Obayashi, Y. Hiraoka, and M. Kimura. Persistence diagrams with linear machine learning models. Journal of Applied and Computational Topology, 1(3-4): 421-449, 2018.N. Otter, M. A. Porter, U. Tillmann, P. Grindrod, and H. A. Harrington.A roadmap for the compu-tation of persistent homology, EPJ Data Science, vol.6, num. 17 (2017), 1-38.10.1126/sciadv.1400256V.K Parihar, B. D. Allen, K. K. Tran, T.G. Macaraeg, E. M. Chu, S. F. Kwok, N. N.Chmielewski, B. M. Craver, J. E. Baulch, M. M. Acharya, F. A. Cucinotta and Ch. L. Limoli. What happens to your brain on the way to Mars, Life Sciences in Space Research. Vol.1, no. 4 (2015),1-6.10.1073/pnas.1307301110V. K. Parihar and Ch. L. Limoli.Cranial irradiation compromises neuronal architecture in the hippocampus. PNAS, Vol.110, no 31 (2013),12822-12827.10.1038/srep34774V. K. Parihar , B. D. Allen, Ch. Caressi, SKwok, E. Chu, K. K. Tran, N. N. Chmielewski,E. Giedzinski, M. M. Acharya, R. A. Britten, J. E.Baulch and Ch. L. Limoli. Cosmic radiation exposure and persistent cognitive dysfunction, Scientific Reports, Vol.6 (2016), 34774-34788.10.1103/physrev.75.1729R. D. Richtmyer and E. Teller,On the origin of cosmic rays. Phys. Rev.75 (1949), 1729-1735.10.1007/978-3-030-20351-1_53Yanning Zhou, Omer Fahri Onder, Qi Dou, EfstratiosTsougenis, Hao Chen, and Pheng-AnnHeng.CIA-Net: Robust nuclei instance segmentation with contour-aware information aggregation. In International Conference on Information Processing in Medical Imaging, 2019.10.1007/s00454-004-1146-yA. Zomorodian and G. Carlsson. Computing persistent homology, Discrete and Computational Geometry, vol.33, num. 2 (2005), 247-274.