Open research · UPR
Ordinal frameworks for complex systems, discrete extramental time, and higher-order dependence — with open software and monographs.

Dr. Johel Padilla-Villanueva, DrPH

Auxiliary Professor (UPR Carolina) · Adjunct (UPR Medical Sciences Campus) · Independent Researcher
Auxiliary Professor, University of Puerto Rico at Carolina
Independent Researcher — Systemic Tau (τ_s) and RECD
Investigador independiente y profesor universitario en salud ambiental, dinámica de enfermedades vectoriales y marcos teóricos para sistemas complejos. Tesis DrPH (UPR, 2022): dinámica espaciotemporal de Aedes aegypti en el Caño Martín Peña, San Juan, Puerto Rico.
Programa actual: Systemic Tau (τ_s) y el Reloj Extramental Discreto (RECD) — métricas ordinales, tiempo discreto anidado, dependencia de orden superior (excess³ / Φ₃) y alerta temprana (dengue). Software: Academy Learning Tau y Systemic Tau. Monografías: Systemic Tau and the Discrete Architecture of Time (2.ª ed.) y El acto de ser relacional-discreto (Leonardo Polo).
DrPH (Doctor of Public Health) — Environmental Health
2016-08-01
2022-11-01
University of Puerto Rico, Medical Sciences Campus
M.Sc. Environmental Health
2012-08-01
2014-05-01
University of Puerto Rico, Medical Sciences Campus
B.S. General Biology
1997-08-01
2002-05-01
University of Puerto Rico, Bayamón
B.A. + M.A. (Licentiate in Ecclesiastical Studies)
2004-09-01
2009-06-01
Universidad de Navarra, Pamplona, Spain
DOI, PDF, and code on each card. Full catalog at Publications.
Streamlit platform (v1.1) for τ_s, RECD, EWS, and a reproducible lab. ES · EN · FR.
Full list at Publications — DOI and PDF on each detail page.
Email: joel.padilla2@upr.edu
Profiles: ORCID · Google Scholar · GitHub · X · Zenodo
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