8 papers
Stochastic Field Theory of HIV Latency: Instanton Dynamics and the Path to Viral Rebound
Jose de Jesus Bernal-Alvarado, David Delepine, Georges Delepine
The transition from clinical latency to active HIV infection is a stochastic process. Traditional deterministic models based on ordinary differential equations (ODEs) fail to captu…
Kuramoto Phase Synchronization in Regional Epidemic Dynamics: Two Test Cases from European COVID-19 and Influenza Surveillance
Jose de Jesus Bernal-Alvarado, David Delepine
We test whether the Kuramoto model quantitatively describes spatial synchronization in regional epidemic waves, using daily COVID-19 incidence for 400 German \emph{Kreise} (2021--2…
Stochastic Pharmacokinetic Escape: A Field-Theoretic Approach to Fluctuation-Induced Tumor Relapse
Jose de Jesus Bernal-Alvarado, David Delepine, Georges Delepine
Classical mathematical oncology employs deterministic mean-field models predicting that sufficiently high chemotherapy doses drive tumor density to zero. We show that this apparent…
Topological Signatures of Imperial Collapse and Fragmentation: Administrative Dissolution, Territorial Reorganization and Early-Warning Observables in the Han Dynasty Network (206~BCE\,--\,220~CE)
Jose de Jesus Bernal-Alvarado, David Delepine, Carlos Pinedo Guadarrama
We extend the persistent homology formalism done in references~\cite{paper1,paper2} to the Han Dynasty (--), testing whether the collapse thresho…
Structural Divergence of the Roman--Byzantine Trade Network, 0--1453\,CE: Persistent Homology, Topological Velocity, and Criticality Indicators of Imperial Collapse
Jose de Jesus Bernal-Alvarado, David Delepine, Carlos Pinedo Guadarrama
We extend the persistent homology analysis of~\paperone{} to the full Roman--Byzantine trade network (0--1453\,\textsc{ce}), using 2{,}599 nodes and 4{,}503 trimodal edges calibrat…
Gauged Strain Symmetry and the Non Abelian Field Theory of Epidemiological Safe Zones: The Black Death Case
Jose de Jesus Bernal-Alvarado, David Delepine
Classical reaction-diffusion SIR models cannot explain why large regions -- such as the interior of Poland and Bohemia during the 14th-century Black Death -- remained largely untou…