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September 15, 2026MathematicsOpen Access

A Multiscale Dynamical-Systems Model of Measles Immuno-Epidemiology with ODE-to-Cellular-Automaton Coupling

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Authors

SMSergio Pérez MontesJCJuan Carlos Chimal-Eguía

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Overview

Computational modeling study demonstrates cross-scale measles transmission dynamics across host archetypes, highlighting the impact of within-host immunity on population-level outbreak control.

Key Points

  • To establish an explicit multiscale modeling framework that connects within-host measles immunodynamics to spatial, stochastic population-level disease spread.
  • Coupled a 7-variable within-host ordinary differential equation model—incorporating IFN-γ, IL-17, persistent viral RNA, neutralizing antibodies, and six host archetypes—to a spatial stochastic cellular automaton.
  • Formulated an explicit cross-scale coupling operator to translate within-host viral and immune trajectories into daily infectivity, infectious duration, and an immune-deficit-dependent mortality mapping.
  • Performed global Sobol sensitivity analyses with convergence testing up to Nbase = 4096 across within-host and multiscale model parameters.
  • Simulations demonstrated a nonlinear decline in attack rate with increasing vaccination coverage and marked mortality reductions under targeted high-risk interventions and reactive vaccination.
  • Showed that matching expected direct secondary-infection potential across differing contact geometries does not yield equivalent population-level attack rates.
  • Sobol sensitivity analysis identified core viral dynamics and immune response parameters as the primary drivers of within-host outcomes and cross-scale epidemic spread.

Cite This Study

Montes et al. (2026) studied this question.

synapsesocial.com/papers/6aa9136e9013453be30a1530https://doi.org/10.3390/math14183336
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