Scholarlink

<p>Kawasaki disease (KD) is an acute coronary vasculitis that is more common in infants and young children, and its etiology and pathogenesis are still identified. The recurrence of KD is rare, but it causes significant damage to the patient’s body. Currently, the risk factors for the recurrence of KD are not known. In this paper, we explore in depth the statistical characteristics of the emergence of recurrent KD by analyzing the long-term and transient dynamics of a class of stochastic KD model describing vascular endothelial cell injury. We mainly study the existence and uniqueness of the global solution, the existence of an invariant measure, and the exponential extinction of injured endothelial cells. Further, we observe that the shape of the probability density function of the invariant measure changes from a crater type to a single-peak type as the model parameters change. Moreover, we find that the impact of stochastic perturbations on the probability of recovery from KD depends on the initial state. Stochastic perturbations induce the generation of a mechanism that makes stochastic trajectories transition from the basin of attraction of the vascular injury-free equilibrium to the basin of attraction of the periodic solution, leading to KD recurrence. We concretely show the effect of stochastic perturbations on the first passage time. This work provides new insights into the recurrence of KD.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Stochastic dynamics and probabilistic analysis of recovery from disease in a Kawasaki disease model driven by noises

  • 期刊论文

  • 发表日期：

    2025年1月21日

查看全文
  • Rong Liu,
  • Ke Guo,
  • Keying Song

摘要

Kawasaki disease (KD) is an acute coronary vasculitis that is more common in infants and young children, and its etiology and pathogenesis are still identified. The recurrence of KD is rare, but it causes significant damage to the patient’s body. Currently, the risk factors for the recurrence of KD are not known. In this paper, we explore in depth the statistical characteristics of the emergence of recurrent KD by analyzing the long-term and transient dynamics of a class of stochastic KD model describing vascular endothelial cell injury. We mainly study the existence and uniqueness of the global solution, the existence of an invariant measure, and the exponential extinction of injured endothelial cells. Further, we observe that the shape of the probability density function of the invariant measure changes from a crater type to a single-peak type as the model parameters change. Moreover, we find that the impact of stochastic perturbations on the probability of recovery from KD depends on the initial state. Stochastic perturbations induce the generation of a mechanism that makes stochastic trajectories transition from the basin of attraction of the vascular injury-free equilibrium to the basin of attraction of the periodic solution, leading to KD recurrence. We concretely show the effect of stochastic perturbations on the first passage time. This work provides new insights into the recurrence of KD.