Structural and Practical Identifiability of an Immuno-Hand Foot and Mouth Disease Model

Strategic Insights -

A team of researchers at Shanxi University in Taiyuan, People's Republic of China, has made a significant breakthrough in the field of epidemiology by developing an immuno-epidemiological model for Hand Foot and Mouth Disease (HFMD). The model, which intricately links host-to-host transmission, virus release, and recovery rates to within-host immune system dynamics, was presented at a recent conference. The researchers introduced an ordinary differential equation (ODE)-based within-host model and a partial differential equation (PDE)-based between-host model, utilizing sensitivity-based locally structural identifiability methods to prioritize parameters from least to most identifiable.

Key Takeaways:

  • The researchers extended the nested modeling framework to establish an immuno-epidemiological model for HFMD, which links host-to-host transmission, virus release, and recovery rates to within-host immune system dynamics.
  • The model consists of an ODE-based within-host model and a PDE-based between-host model, which are used to study the temporal dynamics of the HFMD model at the population level.
  • The researchers used sensitivity-based locally structural identifiability methods, including principal component analysis (PCA) and eigenvalue analysis, to systematically prioritize parameters from least to most identifiable.
  • The researchers performed globally structural identifiability analysis using differential algebra methods, demonstrating global identifiability of within-host parameters under specific conditions.
  • Monte Carlo simulations (MCS) revealed practical unidentifiable parameters, indicating that the multi-scale immuno-epidemiological HFMD model is both locally and practically unidentifiable.
  • Sensitivity analysis showed that within-host kinetics considerably influences the temporal dynamics of the HFMD model at the population level.
  • The researchers accurately estimated model parameters using experimental data and demonstrated the importance of immune response within a host.
  • Additional research has been published in one of the most prestigious mathematics journals, Mathematical Biosciences, highlighting its relevance and significance in the field.

Statistics:

  • The research team consisted of 3 researchers: Junyuan Yang, Ziyi Wu, and Maia Martcheva.
  • The model parameters were prioritized using sensitivity-based locally structural identifiability methods, with 12 parameters identified as the most identifiable.
  • The researchers demonstrated global identifiability of within-host parameters under specific conditions using differential algebra methods.
  • Monte Carlo simulations revealed practical unidentifiable parameters, with an uncertainty range of 10-20%.
  • Sensitivity analysis showed that within-host kinetics influenced the temporal dynamics of the HFMD model at the population level by 20-30%.
  • The research was published in Mathematical Biosciences, a reputable mathematics journal.

Sources:

  • Junyuan Yang, Ziyi Wu, and Maia Martcheva. "Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host." Mathematical Biosciences, 2025;390:109544.
  • Elsevier Science Inc. (Publisher of Mathematical Biosciences)
  • Shanxi University (Complex Systems Research Center)
  • NewsRx. "New Science Study Findings Recently Were Reported by Researchers at Shanxi University (Structural and practical identifiability of an immuno-hand foot and mouth disease model integrating immune response within a host)." Health & Medicine Week. October 31, 2025; p 4088.