Julio César Pérez Sansalvador

IIxM - SECIHTI • Computer Science Department, INAOE

Julio César Pérez Sansalvador

Main Research Interests

  • Computational and mathematical modelling of Biological and Physical Phenomena
  • Computational Biology
  • Numerical solution of Partial Differential Equations (PDEs)
  • Parallel and High-Performance Computing
  • Scientific Computing | Scientific Machine Learning

Qualifications

  • PhD in Mathematical Sciences, The University of Manchester, United Kingdom
  • MSc in Computer Sciences, INAOE, Mexico
  • BSc in Computer Sciences, BUAP, Mexico

Special Recognitions

  • Sistema Nacional de Investigadores - Level I (2024-2028)
  • Sistema Nacional de Investigadores - Level I (2021-2023)

Scientific Memberships

  • American Association for Cancer Research (AACR)
  • Association for Computing Machinery (ACM)
  • Society for Industrial and Applied Mathematics (SIAM)
  • The Institute of Electrical and Electronics Engineers (IEEE)
  • Sociedad Matemática Mexicana (SMM)

Software Development

Student Projects & Outreach

Highlighting ongoing work with postgraduate students, outreach articles, and related projects.

Heart Beating: Identificación del ritmo cardíaco

Heart Beating: Identificación del ritmo cardíaco de la madre y del feto en señales NI-FECG

12/02/2026
El espectro multifractal y el cáncer de mama

El espectro multifractal y el cáncer de mama

30/10/2025
Computación aplicada a las ciencias biomédicas

Computación aplicada a las ciencias biomédicas

06/02/2024
El efecto de estrategias de pacificación del tránsito vehicular

El efecto de estrategias de pacificación del tránsito vehicular y la emisión de contaminantes

12/05/2023
Fractales aplicados en la identificación de células de cáncer de mama

Fractales aplicados en la identificación de células de cáncer de mama

01/03/2023
Inteligencia artificial para el diagnóstico médico

Inteligencia artificial para el diagnóstico médico

21/02/2023

Outreach Articles

  • Pérez Sansalvador, J. C. Ornelas Vargas, A. Barreiro Valdez, A. Prieto Moreno, K. E. and Romero Reyes, S. (2025) Heart beating: una aplicación para el diagnóstico prenatal inteligente TIES-Revista de Tecnología e Innovación en Educación Superior, UNAM-DGTIC, No. 13, Septiembre 2025
    Read Article
  • Silvia Andrea Morales Manzano, Noureddine Lakouari and Pérez-Sansalvador, J.C. (2023) Simulaciones computacionales. Aliadas para situaciones de emergencia Hypatia, Revista de Divulgación Científico-Tecnológica del Gobierno del Estado de Morelos, No. 72 (pages 14-15)
    Read Article
  • Cornejo-Acosta, J.A., García-Díaz, J., Pérez-Sansalvador, J.C. and Segura, C. (2023) Multiple Traveling Salesperson Problems Scholarity Community Encyclopedia
    Read Article
Explore short explanations of a selection of my published papers on my GrowKudos Mini Blog.

Former Students

Ongoing Research Projects

Current academic projects encompassing Computer Sciences, Biotechnology, and Artificial Intelligence.

Student & Post-Doc Opportunities: We are always looking for passionate researchers. Explore our latest research projects to find exciting opportunities for Master, PhD, and Post-Doctoral positions.
Parallel Computing / Cellular Automata

Hardware acceleration of continuous cellular automata through parallel computing on GPUs

Jehiel López Grande, René A. Cumplido Parra, Ignacio Algredo Badillo, Julio César Pérez Sansalvador

Continuous Cellular Automata (CCA) allow simulating complex systems using real-valued states. This project explores the design of a GPU-based parallel computing framework tailored to alleviate computational costs.

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Multimodal Learning / Oncology

Identification of DLBCL using multimodal learning

Alejandro Méndez Calvario, Noureddine Lakouari, Julio César Pérez Sansalvador

Diffuse Large B-Cell Lymphoma diagnosis can be fatal if delayed. This proposal integrates information from different data modality sources to emulate a robust comprehensive clinical diagnostic process.

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Physics-Informed Neural Networks

Physical and Financial Informed Neural Networks for the Solution of PDEs

Edgar Martínez Pascual, Gustavo Rodríguez Gómez, Julio César Pérez Sansalvador

Using PINNs coupled with subdomain methods to solve PDEs. Proposes a temporal discretization-based approach applied to the Glioblastoma Proliferation-Invasion Model.

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Alzheimer's / TASEP-LK

Alzheimer's characterisation based on AI predictions on intracellular axonal dynamics

Tania Del Valle García, Noureddine Lakouari, Rubén Vázquez Roque, Julio César Pérez Sansalvador

Simulating the TASEP-LK model to study tau protein-affected axonal trafficking. Proposing AI models to reproduce the TASEP-LK behavior faster in biomedical settings.

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Scientific Machine Learning / PDEs

Physics-informed neural networks for the solution of nonlinear PDEs

Miguel Ángel Cruz Gama, Gustavo Rodríguez Gómez, Julio César Pérez Sansalvador

Utilizing Physics-Informed Neural Networks (PINNs) to solve ordinary and partial differential equations by embedding physical laws into the training process. This methodology transforms constrained optimization problems into unconstrained ones to accurately approximate solutions.

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Immunosurveillance / Parallel Algorithms

Off-Lattice Parallel Algorithm for Tumor Immunosurveillance

Eduardo Rodolfo Rodríguez Gallegos, Julio César Pérez Sansalvador, Gustavo Rodríguez Gómez, Saúl E. Pomáres Hernández

An off-lattice parallel algorithm enabling cells to move in continuous space using OpenMP. It supports MultiParameter Sensitivity Analysis of tumor-immune dynamics natively.

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Computer Vision / CNNs

Deep learning based classification of subcutaneous fungal diseases

Vania Déborah Vázquez-Palacios, Humberto Pérez-Espinosa, Julio César Pérez Sansalvador

AI-assisted visual diagnosis as a clinical tool for chromoblastomycosis, sporotrichosis, and mycetoma. Achieves robust test accuracy using deep convolutional models.

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Blockchain / DApps

Scalable On-chain Storage Mechanism for DApps over Permissionless Blockchain

Juan David Peña Melo, Lil María Rodríguez Henríquez, Saúl E. Pomares Hernández, Julio César Pérez Sansalvador

Developing storage mechanisms that ensure data immutability and resilience while maintaining high transaction rates and low latency.

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Quantum Computing

Quantum Integer Wavelet Transform & Compression

Freddy Alejandro Chaurra Gutiérrez, Claudia Feregrino Uribe, Gustavo Rodríguez Gómez, Julio César Pérez Sansalvador

Developing the first quantum approach for integer wavelet transforms focusing on Haar, CDF, and DB4 to minimize computational costs.

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Biomedical Imaging / Fractals

Multifractal Spectrum Based Classification for Breast Cancer

Alex Saúl Salas Tlapaya, Noureddine Lakouari, Julio César Pérez Sansalvador

Exploring the fractal geometry of cells to identify breast cancer cells during histological evaluation. This project proposes a novel approach based on the multifractal spectrum to classify breast cancer from microscopic tissue images.

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Computer Vision / Machine Learning

Video surveillance automated system

Ket-ziquel Hernández Guadarrama, Julio César Pérez Sansalvador

Developing an automated video-surveillance system capable of reporting recorded events in real-time. This project uses a Hidden Markov Model to recognize events and follows robust software design patterns for system architecture.

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People & Collaborators

A list of researchers I have had the pleasure to work with. Students interested in developing projects are encouraged to explore their research profiles.

Publications & Products

Chronological academic output, journals, proceedings, and generated preprints.

Journal Articles

  1. Cornejo-Acosta, J.A.; Segura, C.; García-Díaz, J.; Pérez-Sansalvador, J.C. (2026) Diversity Management Techniques for the Upper-Bounded Hamiltonian p-Median Problem. Math. Comput. Appl. 2026, 31, 64. Link
  2. E. A.García-Cortés, L. M.Oliveira, J. C.Pérez-Sansalvador, and T.Spezzia-Mazzocco (2026) Tissue Mimicking Phantoms for Biomedical Optics: A Systematic Review of Inverse Adding–Doubling Characterization and Clinical Relevance. Journal of Biophotonics, no. 4. Link
  3. Cajica-Maceda, L.B.; Chaurra-Gutiérrez, F.A.; Pérez-Sansalvador, J.C.; García-Díaz, J. (2026) Graph Burning: An Overview of Compact Mathematical Programs. Mathematics 2026, 14, 1011. Link
  4. Díaz-González, L., Trujillo-Uribe, I., Pérez-Sansalvador, J. C., and Lakouari, N. (2025) Handling Missing Air Quality Data Using Bidirectional Recurrent Imputation for Time Series and Random Forest: A Case Study in Mexico City. AI, 6(9), 208. Link
  5. Díaz-González, L., Toribio-Colin, Y. S., Pérez-Sansalvador, J. C., and Lakouari, N. (2025) Factors Associated with COVID-19 Mortality in Mexico: A Machine Learning Approach Using Clinical, Socioeconomic, and Environmental Data. Machine Learning and Knowledge Extraction, 7(2), 55. Link
  6. Avila-Cortés, O., Hernández, S. E. P., Pérez-Sansalvador, J. C., and Rodríguez-Henríquez, L. M. X. (2025) Emergency Messaging System for Urban Vehicular Networks Inspired by Social Insects’ Stigmergic Communication. Future Internet, Vol. 17 (3), 117. Link
  7. L. Díaz-González, R.A. Aguilar-Rodríguez, J.C. Pérez-Sansalvador, and N. Lakouari (2025) AQuA-P: A machine learning-based tool for water quality assessment. Journal of Contaminant Hydrology, Volume 269. Link
  8. Melo D., Pomares-Hernández SE., Rodríguez-Henríquez LM., Pérez-Sansalvador JC. (2024) DiFastBit: Transaction Differentiation Scheme to Avoid Double-Spending for Fast Bitcoin Payments. Mathematics. 2024; 12(16):2484. Link
  9. Melo, D., Pomares-Hernández, S.E., Rodríguez-Henríquez, L.M.X. and Pérez-Sansalvador, J.C. (2024) Unlocking Blockchain UTXO Transactional Patterns and Their Effect on Storage and Throughput Trade-Offs. Computers 2024, 13, 146. Link
  10. José Roberto Pérez Cruz, Noureddine Lakouari, Rachid Marzoug and Julio César Pérez Sansalvador (2023) Pedestrian–vehicle interactions at unsignalized mid-block crosswalks: Effects on traffic flow, CO2 emissions, and energy dissipation. Physica A: Statistical Mechanics and its Applications, Volume 630, 2023. Link
  11. Cornejo-Acosta, J.A., García-Díaz, J., Pérez-Sansalvador, J.C. and Segura, C. (2023) Compact Integer Programs for Depot-Free Multiple Traveling Salesperson Problems. Mathematics 11, 3014. Link
  12. José Alejandro Cornejo Acosta, Jesús García Díaz, Julio César Pérez Sansalvador, Roger Z. Ríos-Mercado, and Saúl Eduardo Pomares Hernández (2023) A constructive heuristic for the uniform capacitated vertex k-center problem. ACM J. Exp. Algorithmics, June 2023. Link
  13. Freddy Alejandro Chaurra-Gutierrez, Claudia Feregrino-Uribe, Julio Cesar Perez-Sansalvador, Gustavo Rodriguez-Gomez (2023) QIST: One-dimensional quantum integer wavelet S-transform. Information Sciences, Volume 622, 2023, Pages 999-1013. Link
  14. García-Díaz, J., Rodríguez-Henríquez, L.M.X., Pérez-Sansalvador, J.C. and Pomares-Hernández, S.E.G. (2022) Graph Burning: Mathematical Formulations and Optimal Solutions. Mathematics, 10, 2777. Link
  15. J. García-Díaz, J. C. Pérez-Sansalvador, L. M. X. Rodríguez-Henríquez and J. A. Cornejo-Acosta (2022) Burning Graphs Through Farthest-First Traversal. IEEE Access, vol. 10, pp. 30395-30404. Link
  16. J. C. Cisneros, S. E. P. Hernández, J. C. P. Sansalvador, L. M. R. Henríquez, S. Yangui and K. Drira (2022) Coordination-free Multi-domain NFV Orchestration for Consistent VNF Forwarding Graph Reconfiguration. IEEE Transactions on Network and Service Management. Link
  17. José Roberto Pérez Cruz, Noureddine Lakouari, Julio César Pérez Sansalvador and Jorge Luis Zapotecatl López (2021) Effect of interactions between vehicles and mid-block crosswalks on traffic flow and CO2 emission. Appl. Sci., 11(24), 11794. Link
  18. Josué Castañeda, Saul E. Pomares Hernández, Sami Yangui, Julio C. Pérez Sansalvador, Lil M. Rodríguez Henríquez, Khalil Drira (2021) VNF-based network service consistent reconfiguration in multi-domain federations: A distributed approach. Journal of Network and Computer Applications, Volume 195, 103226. Link
  19. Pérez-Sansalvador, J.C., Lakouari, N., Garcia-Diaz, J., Hernández, S.E.P. (2020) The Effect of Speed Humps on Instantaneous Traffic Emissions. Appl. Sci., 10, 1592. Link
  20. Marcos Solis F., Pomares Hernández S. E., Pérez Cruz J. R., Rodríguez Henríquez L. M., Pérez Sansalvador J. C. (2019) Collaborative data-foraging based on spatio-temporal indirect communication. IEEE Access, Volume 7, 149568 - 149582. Link
  21. Jesus Garcia-Diaz, Rolando Menchaca-Mendez, Ricardo Menchaca-Mendez, Saúl Pomares Hernández, Julio César Pérez-Sansalvador, Noureddine Lakouari (2019) Approximation Algorithms for the Vertex K-Center Problem: Survey and Experimental Evaluation. IEEE Access, Volume 7, 109228 - 109245. Link
  22. Serrato-Barrera R., Rodríguez-Gómez G., Pérez-Sansalvador J. C., Pomares-Hernández Saúl, Flores-Pulido Leticia, Muñoz Antonio (2019) Software Design Based on Patterns for Newton-Type Methods. Computing, Springer. Link

Book Chapters

  1. Tlapaya, Alex S. S., Pérez-Sansalvador, J. C., Lakouari, N. (2023). Multifractal Spectrum Based Classification for Breast Cancer. Mathematical Models and Computer Simulations for Biomedical Applications (Springer). Link

Proceedings

  1. Díaz-Ayón, J.A., Zapotecas-Martínez, S., Pérez-Sansalvador, J.C. (2026) Enhanced Index Tracking: A Comparison of Multi-objective Evolutionary Approaches. Advances in Computational Intelligence. MICAI 2025 International Workshops. Lecture Notes in Computer Science, vol 16264. Springer, Cham. Link
  2. E. R. Rodriguez-Gallegos, J. C. Perez-Sansalvador, G. Rodriguez-Gomez and S. E. Pomares-Hernandez (2025) An Off-Lattice Parallel Algorithm for Tumor Immunosurveillance Based on Cess–Finley Model. 2025 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), Ixtapa, Mexico, 2025, pp. 1-6. Link
  3. F. A. Chaurra-Gutierrez, C. Feregrino-Uribe, J. C. Perez-Sansalvador and G. Rodriguez-Gomez (2025) Quantum Mean Filter: Features and Issues. 2025 International Conference on Quantum Communications, Networking, and Computing (QCNC), Nara, Japan, 2025, pp. 614-617. Link
  4. García-Cortés, E.A., Sansalvador, J.C.P., Spezzia-Mazzocco, T. (2025) Comprehensive Optical Characterization and Refractive Index Optimization of Agar-Based Phantoms with Varying Ink and Nanoparticle Concentrations. XLVII Mexican Conference on Biomedical Engineering. CNIB 2024. IFMBE Proceedings, vol 117. Springer, Cham. Link
  5. E. García-Cortés, J. Pérez-Sansalvador, and T. Spezzia-Mazzocco (2024) Optical Property Characterization of Agar-Based Phantoms with Variable Ink and Nanoparticle Concentrations. Optica Latin America Optics and Photonics Conference (LAOP) 2024, Technical Digest Series (Optica Publishing Group, 2024). Link
  6. Ayoub Laarej, Julio César Pérez-Sansalvador, Noureddine Lakouari, Hamid Ezzahraouy (2024) Study of Energy Dissipation and Satisfaction Rates in Mixed Traffic Flow with Lights: A Two-Lane Cellular Automaton Approach. 1st International Conference on Materials Sciences and Mechatronics for Sustainable Energy and the Environment (MSMS2E 2024), E3S Web Conf. Vol. 582. Link
  7. D. Melo, S. Hernandez, L. Rodriguez and J. Perez-Sansalvador (2023) Bitcoin Transactions Types and Their Impact on Storage Scalability. 2023 IEEE International Conference on Enabling Technologies: Infrastructure for Collaborative Enterprises (WETICE), Paris, France pp. 1-6. Link
  8. H. Khlif, Hatem Hadj Kacem, Ojilvie Avila-Cortés, Saul Pomares Hernandez, Julio César Pérez-Sansalvador and Lil María Rodríguez-Henríquez (2023) Unraveling Spatio-Temporal Behavior in Collaborative Cyber-Physical Systems Inspired by Social Insects. 2023 IEEE International Conference on Enabling Technologies: Infrastructure for Collaborative Enterprises (WETICE), Paris, France, pp. 1-6. Link
  9. F. A. Chaurra-Gutierrez, J. Cesar Perez-Sansalvador, G. Rodriguez-Gomez and C. Feregrino-Uribe (2022) QBRBS: Quantum Block Representation by Basis States. 2022 IEEE International Conference on Quantum Computing and Engineering (QCE), pp. 125-132. Link
  10. S. I. G. Mendoza, J. C. P. Sansalvador and G. R. Gómez (2022) Efficient numerical solution of the brain glioblastomas proliferation-invasion model. 2022 IEEE Mexican International Conference on Computer Science (ENC), pp. 1-5. Link
  11. J. C. Cisneros, S. Yangui, S. E. Pomares Hernández, J. C. P. Sansalvador, L. M. R. Henríquez and K. Drira (2021) Towards Consistent VNF Forwarding Graph Reconfiguration in Multi-domain Environments. 2021 IEEE 14th International Conference on Cloud Computing (CLOUD), 2021, pp. 355-366. Link
  12. J. C. Cisneros, S. Yangui, S. E. Pomares Hernández, J. C. Pérez Sansalvador and K. Drira (2020) Coordination Algorithm for Migration of Shared VNFs in Federated Environments. 2020 6th IEEE Conference on Network Softwarization (NetSoft), Ghent, Belgium, 252-256. Link
  13. Serrato Barrera Ricardo, Rodríguez Gómez Gustavo, Pomares Hernández Saúl E., Pérez Sansalvador Julio César, Flores Pulido Leticia (2017) Using Design Patterns to Solve Newton-type Methods. Trends and Applications in Software Engineering: Proceedings of CIMPS 2016, Springer International Publishing, 537, 101-110. Link
  14. Pérez Sansalvador Julio César, Rodríguez Gómez Gustavo and Pomares Hernández Saúl E. (2011) Pattern object-oriented architecture for Multirate Integration Methods. CONIELECOMP 2011, 21st International Conference on Electrical, Communications, and Computers, IEEE, 28, 158-163. Link

Posters

  1. Pérez Sansalvador Julio César and Hernández Guadarrama Ket-ziquel (2009) Automatización de sistemas de video-vigilancia. Fepro2009, Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias de la Computación, Puebla, México. Link

Preprints

  1. Lourdes Beatriz Cajica-Maceda, Freddy Alejandro Chaurra-Gutiérrez, Julio César Pérez-Sansalvador and Jesús García-Díaz (2025) Graph burning: an overview of mathematical programs. Available at arXiv. Link
  2. Chaurra Gutierrez, Freddy Alejandro and Rodriguez-Gomez, Gustavo and Feregrino-Uribe, Claudia and Perez Sansalvador, Julio Cesar (2023) One-dimensional Quantum Integer CDF(2,2) Wavelet Transform. Available at SSRN. Link
  3. Melo, David and Pomares Hernandez, Saul Eduardo and Rodriguez Henriquez, Lil Maria Xibai and Perez Sansalvador, Julio Cesar (2022) My Two Bitcoins? Implementation of Double-Spending on Fast Bitcoin Payments. Available at SSRN. Link

Teaching & Mentoring

Timeline of taught courses across Computer and Biomedical Sciences.

Current Courses

Advanced Topics in Ubiquitous Computing

Computer Sciences - INAOE - Summer 2026
Course Material

Special Courses

Research Methodology

Fall 2022 version
Web Page

Research Seminar I

Spring 2021 version
Web Page

Data Structures and Programming

Summer 2021 version
Web Page

Workshops

Parallel Computing Workshop

2024
Slides and Code

Previous Courses

2026

  1. Parallel Computing Computer Sciences - INAOE - Spring
  2. Doctoral Seminar Computer Sciences - INAOE - Spring

2025

  1. Advanced Topics in Ubiquitous Computing Computer Sciences - INAOE - Summer
  2. Parallel Computing Computer Sciences - INAOE - Spring

2024

  1. Advanced Topics in Ubiquitous Computing Computer Sciences - INAOE - Summer
  2. Parallel Computing Computer Sciences - INAOE - Spring

2022

  1. Research Methodology Computer Sciences - INAOE - Fall
  2. Distributed Systems Computer Sciences - INAOE - Spring

2021

  1. Research Methodology Computer Sciences - INAOE - Fall
  2. Data Structures and Programming Preparation Course - INAOE - Summer
  3. Advanced Topics in Ubiquitous Computing Computer Sciences - INAOE - Summer
  4. Distributed Systems Computer Sciences - INAOE - Spring
  5. Research Seminar I Computer Sciences - INAOE - Spring

2020

  1. Structured Programming for Biomedical Science Biomedical Sciences - INAOE - Fall
  2. Keras and TensorFlow Biomedical Sciences - INAOE - Fall
  3. Introduction to Computational Thinking Preparation Course - INAOE - Summer
  4. Discrete events and continuous processes simulation Biomedical Sciences - INAOE - Summer
  5. Advanced Topics in Ubiquitous Computing Computer Sciences - INAOE - Summer
  6. Distributed Systems Computer Sciences - INAOE - Spring
  7. Research Seminar I Computer Sciences - INAOE - Spring

2019

  1. Structured Programming for Biomedical Science Biomedical Sciences - INAOE - Fall
  2. Data Structures and Programming Preparation Course - INAOE - Summer
  3. Research Seminar II Biomedical Sciences - INAOE - Summer
  4. Advanced Topics in Ubiquitous Computing Computer Sciences - INAOE - Summer
  5. Distributed Systems Computer Sciences - INAOE - Spring

Academic Resources

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Courses & Interesting Stuff

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