- Research Article
1
- 10.1080/24725579.2025.2601727
Stochastic modeling of inter-dependent system degradation branching processes: applications to human cervical spine degeneration
- Dec 10, 2025
- IISE Transactions on Healthcare Systems Engineering
- Tong Wu + 3 more +3
Degradation branching in systems with inter-dependent units is a common phenomenon in many real-life applications, particularly in biomechanical and healthcare systems. In such processes, the degradation of one unit may initiate spontaneously or be triggered by the degradation of the adjacent units, leading to spatially correlated failure behaviors. This paper develops a general stochastic degradation branching model that characterizes both the inter-dependency of degradation initiation times and the inter-dependency of degradation growth rates among units. Analytical formulations are derived for the probabilistic properties of the branching process, including the probability distribution of degradation of the system that has specific combination of degraded components, the overall system degradation, along with system reliability. The model is validated using longitudinal cervical spine degeneration data, demonstrating its ability to capture spontaneous and propagation-induced degradation patterns among vertebrae. Beyond theoretical modeling, the proposed framework provides clinically and socially relevant insights: it supports individualized degeneration risk assessment, optimization of surgical and rehabilitation timing, and evidence-based healthcare resource allocation, while also offering a quantitative basis for medical insurance policy design by estimating population-level degeneration trajectories. This unified stochastic framework thus strengthens the translational linkage between reliability theory, precision medicine, and healthcare management.
Read more