Research

Dear reader, colleague, fellow scientist or student, below you will find my postgraduate theses, journal papers, books and congress participations concerning the study and modelling of biological and dynamical systems.

If you are unable to download any of the documents below, I kindly ask you to send me an email and I will gladly send any paper to you.

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Articles

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Gamboa Diana, Coria Luis N., Cardenas Jose, Ramirez Ramon, Valle Paul. Implementación en hardware de un observador no lineal para un modelo matemático de Diabetes Mellitus Tipo 1 (DM1). Computación y Sistemas 23.4 (2019): 1475-1486.
doi: 10.13053/CyS-23-4-2986

Valle Paul, Coria Luis N., Yolocuauhtli Salazar. Tumor clearance analysis on a cancer chemo-immunotherapy mathematical model. Bulletin of Mathematical Biology 81.10 (2019): 4144-4173.
doi: 10.1007/s11538-019-00636-7
Full-text view-only version: https://rdcu.be/bIiXu

Valle Paul, Coria Luis N., Gamboa Diana, Plata Corina. Bounding the dynamics of a chaotic-cancer mathematical model. Mathematical Problems in Engineering, vol. 2018, Article ID 9787015, (2018): 14 pages.
doi: 10.1155/2018/9787015

Korobeinikov Andrei, Starkov Konstantin, Valle Paul. Modeling cancer evolution: evolutionary escape under immune system control. Journal of Physics: Conference Series 811.1 (2017): 8 pages.
doi: 10.1088/1742-6596/811/1/012004

Cruz Samara, Valle Paul, Coria Luis N., Sotelo Arturo, Plata Corina. Modelo Matemático de VIH bajo la Administración de un Antirretroviral. Revista Mexicana de Ingeniería Biomédica 38.3 (2017): 563-573.
doi: 10.17488/rmib.38.3.5

Valle Paul, Starkov Konstantin, Coria Luis N. Global stability and tumor clearance conditions for a cancer chemotherapy system. Communications in Nonlinear Science and Numerical Simulation 40 (2016): 206-215.
doi: 10.1016/j.cnsns.2016.04.025

Valle Paul, Coria Luis N., Starkov Konstantin. Estudio de la dinámica global para un modelo de evasión-inmune de un tumor cancerígeno. Computación y Sistemas 18.4 (2014): 773-786.
doi: 10.13053/CyS-18-4-1920

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Congresses

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Sanchez Itzel, Valle Paul, Ramirez Ramon. Analysis and estimation of chaotic tumor evolution under immunotherapy treatment. Congreso Nacional de Control Automático (AMCA) 2019, October 23 to 25 at Puebla, México: 726-731.
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Armenta Reynaldo, Sotelo Arturo, Valle Paul, Coria Luis N. In the quest for random signals. Congreso Internacional sobre Innovación y Desarrollo Tecnológico (CIINDET) 2019, October 2 to 4 at Cuernavaca, México: 5 pages.
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Perez Sandra, Cota Isabel, Valle Paul, Coria Luis N. Análisis de la dinámica global del modelo matemático del reactor químico de Willamowski-Rössler. Congreso Internacional de Investigación Tijuana (Ci2T) 2019, April 3 to 5 at UABC. Revista Aristas: Investigación Básica y Aplicada 7.14 (2019): 41-46.
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Martin del Campo Miguel, Valle Paul, Coria Luis N. Análisis de un modelo matemático de aterosclerosis temprana. Congreso Internacional de Investigación Tijuana (Ci2T) 2019, April 3 to 5 at UABC. Revista Aristas: Investigación Básica y Aplicada 7.14 (2019): 371-376.
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Cruz Andres, Reyes Walter, Plata Corina, Gamboa Diana, Coria Luis N., Valle Paul. Localización de conjuntos compactos invariantes en un sistema caótico que describe la evolución del cáncer. Congreso Internacional de Investigación Tijuana (Ci2T) 2018, March 5 to 9 at UABC. Revista Aristas: Investigación Básica y Aplicada 6.12 (2018): 48-55.
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Valle Paul, Starkov Konstantin. Persistence and tumor clearance conditions on a cancer chemotherapy system. Dynamics Days Latin America and the Caribbean 2016, October 24 to November 1 at the Benemérita Universidad Autónoma de Puebla, México.
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Valle Paul, Korobeinikov Andrei, Starkov Konstantin. Evolutionary escape of cancer. Multi-Rate Processes and Hysteresis (MURPHYS) 2016, June 13 to 17 at the Centre de Recerca Matemàtica, Barcelona, Spain.
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Valle Paul, Plata Corina, Starkov Konstantin, Coria Luis N. Condiciones para la eliminación de un tumor maligno mediante quimioterapia. Congreso Internacional de Investigación Tijuana (Ci2T) 2015, February 18 to 20 at UABC. Revista Aristas: Investigación Básica y Aplicada 4.7 (2015): 84-90.
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Plata Corina, Valle Paul, Starkov Konstantin, Coria Luis N. Estudio de la dinámica global de algunos modelos matemáticos que representan un tumor durmiente. Congreso Internacional de Investigación Tijuana (Ci2T) 2015, February 18 to 20 at UABC. Revista Aristas: Investigación Básica y Aplicada 4.7 (2015): 102-108.
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Corina Plata, Starkov Konstantin, Valle Paul, Coria Luis N. Global dynamics of a tumor dormancy mathematical model. International Congress on Mechanical and Electric Engineering (ICM&EE) 2014, December 1 to 4, Coatzacoalcos, Veracruz, México.
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Valle Paul. On the global dynamics of a cancer chemotherapy biological system. Conference only. Workshop on analysis of dynamics of systems with complex behavior. Regional and International Academic Meeting (ERA) 2014, April 9, Tijuana, México.

Valle Paul, Starkov Konstantin, Coria Luis N. Bounding the long-time dynamics of a tumor immune-evasion model. Regional and International Academic Meeting (ERA) 2012, November 14 to 16, Tijuana, México. Research in Computing Science 59 (2012): 45-55.
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Sotelo Arturo, Guijarro Enrique, Coria Luis N., Trujillo Leonardo, Valle Paul. Epilepsy ictal stage identification by 0-1 test of chaos. Proceedings of the International Federation of Automatic Control (IFAC) 2012, June 20 to 22, Cancún, México.
doi: 10.3182/20120620-3-MX-3012.00052

Starkov Konstantin, Coria Luis N., Valle Paul. Bounding the long-time dynamics of a cancer immunotherapy model. Dynamics Days Europe 2011, September 12 to 16 at the University of Oldenburg, Germany.
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Sotelo Arturo, Valle Paul, Coria Luis N., Garcia Manuel. Estimación del nivel de caos por medio de exponentes de Lyapunov. Congreso Internacional sobre Innovación y Desarrollo Tecnológico (CIINDET) 2010, November 24 to 26, Cuernavaca, Morelos, México.
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Coria Luis N., Starkov Konstantin, Sotelo Arturo, Contreras Ivan, Ramirez Ramon, Valle Paul. Conference only. Chaotic oscillator from a PMSM model using DSP. 11th Experimental Chaos and Complexity Conference 2010, June 1 to 4 at the University of Lille, Francia.
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Books and Chapters

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Valle Paul, Starkov Konstantin, Korobeinikov Andrei. A Mathematical Model of Cancer Evolutionary Escape: Slow-Fast Systems and Hysteresis: Theory and Applications. In book: Extended Abstracts Summer 2016 (2018). Publication derived from an internship in the Centre de Recerca Matemàtica (CRM) in Barcelona, Spain, with Andrei Korobeinikov.
doi: 10.1007/978-3-030-01153-6_16

In 2017, I was honored to be invited as editor by Leonardo Trujillo, Oliver Schütze and Yazmin Maldonado in the Numerical and Evolutionary Optimization – NEO 2017 Conference Proceedings, Part of the Studies in Computational Intelligence book series (SCI, volume 785).
doi: 10.1007/978-3-319-96104-0

Starkov Konstantin, Coria Luis N., Villegas Antonio, Plata Corina, Gamboa Diana, Valle Paul, Ramirez Ramon. New Advances in Studies of Loci of Compact Invariant Sets of Systems with Complex Dynamics. Proceedings of the Regional and International Academic Meeting (ERA) 2011, November 17 to 18, Tijuana, México.
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Theses and dissertation

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Doctoral dissertation

Advisors: Konstantin E. Starkov and Luis Nestor Coria de los Ríos.
Thesis: Estudio de la dinámica global de modelos matemáticos que describen la evolución de un tumor cancerígeno y sus mecanismos de evasión del sistema inmunológico.
CITEDI-IPN, 2016.
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