Unconventional mathematical and computational models for biology

ID: CF/217367/2019 · Group, multidisciplinary · Extension approved through August 2025 · Status: closed — final technical report submitted on 11 March 2026.

Deliverables (per final technical report)

• Publications: ≥ 40 articles in high-impact international journals aligned with the project objectives (original commitment: 1–3 per researcher).
• ARQUIBIO: three editions (2019, 2022, 2024) of the Encounter on Mathematical Biology and Non-Archimedean Methods with 30+ researchers and graduate students.
• Postdocs: 3 hired (commitment: 2), with 5 joint articles produced (2 published, 3 under review).
• HR formation: undergraduate, master’s and doctoral students graduated above commitments.
• Mobility: participation in international academic events to disseminate results.

1. Project description

The project “Unconventional mathematical and computational models for the study and analysis of relevant problems in biology” aims to develop innovative mathematical approaches to complex biological phenomena that are hard to capture with classical models. It combines tools from dynamical systems theory, non-Archimedean and p-adic dynamics, algebraic geometry, categorical logic, and scientific computing to formulate, analyze, and simulate models in systems biology, genetics, and ecology. Beyond theoretical and computational output, it fosters collaboration among mathematics, computing, and biology and trains students and early-career researchers in an interdisciplinary frontier setting.

Co–principal investigator: Dr. Jesús Rogelio Pérez Buendía (SECIHTI, CIMAT–Mérida), with Dr. Yuriria Cortés Poza (principal investigator, IIMAS–UNAM, Mérida unit).

2. Collaborators and institutions

Active researchers:

• Jesús Rogelio Pérez Buendía (PI, CIMAT Mérida)
• Yuriria Cortés Poza (PI, UNAM / IIMAS)
• Genaro Hernández Mada (UNISON)
• Mariana Benítez Keinrad (UNAM Ecology)
• Miguel Ángel de la Rosa Castillo (UJAT)
• Edwin León Cardenal (University of Zaragoza, Spain)
• Pablo Padilla Longoria (UNAM IIMAS)
• Adán Guillermo Jordan Garza (UV)
• Wilson Álvaro Zúñiga Galindo (UTRGV, USA)
• Joel Antonio Trejo Sánchez (CIMAT Mérida)
• Jorge Luis Pérez González (UNAM IIMAS)
• José Antonio Neme Castillo (UNAM IIMAS)
• Ángela Fuquén Tibata (UNAM IIMAS Mérida)

Students and postdocs

• Víctor Nopal Coello (postdoc, UAEH / CIMAT Mérida)

3. Selected publications

Non-exhaustive examples; see also Publications:

• COVID-19 mathematical models (2020)
• A p-adic reaction–diffusion model of branching coral growth… (2026)
• Hierarchical p-adic genetic regulatory networks
• Epigenetic forest
• Gluing dynamics
• El mar que envuelve a las piedras
• Rational interpreters for discrete dynamics

4. Photos and facilities

• Google Photos album (collaborators and facilities)

Additional photos remain in local archive only (not linked here).

5. ARQUIBIO events (Mérida)

More: Events · Working groups.