Scoliosis is a spine abnormal deviation, which is an idiopathic disorder among children and adolescents. As a matter of the fact, distribution of loads on the patient’s spine and load-carrying capacity of the vertebral column are both random variables. Therefore, the probabilistic approach may consider as a sophisticated method to deal with this problem. Reliability analysis is a probabilistic-based approach to consider the uncertainties of load and resistance of the vertebral column. The main contribution of this paper is to compare the reliability level of a normal and scoliosis spinal. To do so, the numerical analyses associated with the inherent random parameters of bones and applied load are performed. Then, the reliability indices for all vertebrae and discs are determined. Accordingly, as the main innovation of this paper, the system reliability indices of the spinal column for both normal and damaged backbone systems are represented. Based on the required reliability index for normal spinal curvature the target system reliability level for scoliosis disorder is proposed. Since the proposed target reliability index is based on the strength limit state of the vertebral column, it can be considered as a reliability level for any proposed treatment approaches.

中文翻译：

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脊柱侧弯疾病的系统可靠性分析

脊柱侧弯是脊柱异常畸形，是儿童和青少年的特发性疾病。事实上，患者脊柱的负荷分布和椎骨的负荷能力都是随机变量。因此，概率方法可以考虑作为解决此问题的复杂方法。可靠性分析是一种基于概率的方法，可以考虑脊柱的载荷和阻力的不确定性。本文的主要贡献是比较正常脊柱侧弯和脊柱侧弯的可靠性水平。为此，执行与骨骼的固有随机参数和所施加载荷相关的数值分析。然后，确定所有椎骨和椎间盘的可靠性指标。因此，作为本文的主要创新，表示了正常和受损骨干系统的脊柱系统可靠性指标。基于正常脊柱弯曲所需的可靠性指标，提出了脊柱侧弯疾病的目标系统可靠性水平。由于建议的目标可靠性指标基于椎骨的强度极限状态，因此可以将其视为任何建议的治疗方法的可靠性水平。