{"id":21,"date":"2024-10-10T13:18:37","date_gmt":"2024-10-10T11:18:37","guid":{"rendered":"https:\/\/wpd.ugr.es\/~pdemas\/?page_id=21"},"modified":"2025-01-23T12:26:39","modified_gmt":"2025-01-23T11:26:39","slug":"nicolas-torres-escorza","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~pdemas\/nicolas-torres-escorza\/","title":{"rendered":"NICOL\u00c1S TORRES ESCORZA"},"content":{"rendered":"\n
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PEOPLE<\/strong><\/h2>\n\n\n\n

Nicol\u00e1s Torres Escorza<\/strong><\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/div>\n\n\n\n

LINES OF RESEARCH<\/strong><\/h3>\n\n\n\n

My lines of research are Partial Differential Equations applied to population dynamics in Biology and Neuroscience, including integral-differential equations. Specifically, the dynamics of interconnected neurons and mathematical models for Alzheimer\u2019s disease.<\/p>\n\n\n\n

<\/div>\n\n\n\n

ARTICLES<\/strong><\/h3>\n\n\n
    \n
  1. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, N. Torres. Comparison principles and asymptotic behavior of delayed age-structured neuron models<\/strong>. Preprint<\/em> , 2025. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  2. N. Torres, E. Molina, L. Pujo Menjouet. An optimal control problem for anti-inflammatory treatments of Alzheimer's disease<\/strong>. Prepublication Hal<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  3. M. Estavoyer, N. Torres, J. Blohm, L. Pujo Menjouet. Spatial pattern analysis of a A\u03b2-monomer model with inflammation processes for Alzheimer's disease<\/strong>. Prepublication Hal<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  4. Torres N., Ciuperca I., Pujo Menjouet L., Matar Tine L. & Volpert V. A qualitative analysis of an A\u03b2-monomer model with inflammation processes for Alzheimer\u2019s disease<\/strong>. Royal Society Open Science<\/em> 11 (5), 231536, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  5. M. Sep\u00falveda, N. Torres, L. M. Villada. Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks<\/strong>. arXiv preprint arXiv:2310.02068<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  6. Torres N., Perthame B. & Salort, D. A multiple time renewal equation for neural assemblies with elapsed time model<\/strong>. Nonlinearity<\/em> 35(10):5051\u20135075, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  7. N. Torres. Asymptotic behavior of solutions of the elapsed time model for neural assemblies<\/strong>. Sorbonne Universit\u00e9<\/em>, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  8. Torres, N., C\u00e1ceres, M. J., Perthame, B., Salort, D. An elapsed time model for strongly coupled inhibitory and excitatory neural networks<\/strong>. Physica D: Nonlinear Phenomena: 132977<\/em>, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  9. Torres N., & Salort D. Dynamics of Neural Networks with Elapsed Time Model and Learning Processes<\/strong>. Acta Applicandae Mathematicae<\/em>, 1-35, 2020. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  10. Cantrell R. S., Cosner, C. Mart\u00ednez S. & Torres N. On a competitive system with ideal free dispersal<\/strong>. Journal of Differential Equations<\/em> 265(8), 3464-3493, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
    <\/div>\n\n\n\n

    PARTICIPATION IN CONFERENCES<\/strong><\/h3>\n\n\n\n

    These are the most recent conferences i have participated in during the last 10 years:<\/p>\n\n\n\n

    <\/div>\n\n\n\n
      \n
    1. Topics on Neuroscience, Collective Migration and Parameter Estimation<\/em><\/strong>. University of Oxford, United Kingdom, 2023.<\/li>\n\n\n\n
    2. Seminar CAPDE<\/strong><\/em>. University of Chile \u2013 CMM, 2016, 2018, 2020 and 2022.<\/li>\n\n\n\n
    3. Mathematical modeling and statistical analysis in neuroscience<\/strong><\/em>. IHP, France, 2022.<\/li>\n\n\n\n
    4. Young Researchers Workshop on Probability and PDEs<\/strong><\/em>. University of Granada \u2013 IMAG, Spain, 2022.<\/li>\n\n\n\n
    5. Escuela de investigaci\u00f3n en teor\u00eda cin\u00e9tica<\/strong><\/em>. CIRM, France, 2022.<\/li>\n\n\n\n
    6. Conference SMAI 2021<\/strong><\/em>. France, 2021.<\/li>\n\n\n\n
    7. VI Southern-Summer School on Mathematical Biology<\/strong><\/em>. UNESP, Brazil, 2017.<\/li>\n<\/ol>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      PEOPLE Nicol\u00e1s Torres Escorza LINES OF RESEARCH My lines of research are Partial Differential Equations applied to population dynamics in Biology and Neuroscience, including integral-differential equations. Specifically, the dynamics of interconnected neurons and mathematical models for Alzheimer\u2019s disease. ARTICLES PARTICIPATION IN CONFERENCES These are the most recent conferences i have participated in during the last […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-no-title","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/21"}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/comments?post=21"}],"version-history":[{"count":4,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/21\/revisions"}],"predecessor-version":[{"id":126,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/21\/revisions\/126"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/media?parent=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}