Horsman A, Marshall D H, Peacock M
Clin Orthop Relat Res. 1985 May(195):207-15.
A stochastic model of age-related bone loss capable of predicting age-specific incidence of fractures has been implemented by Monte Carlo simulation. Each simulation involves aging a large cohort of individuals from 20 to 100 years. Every individual is randomly allocated a particular amount of bone as a young adult, an age of onset of bone loss, and parameter values that determine the subsequent bone loss. Fracture risk is assumed to be zero when the amount of bone is above a global threshold level, increasing progressively as the amount of bone falls below the threshold. From the individual fracture risks, a fracture subpopulation is identified and age-specific incidence evaluated numerically. By adjusting the model parameters, predicted and observed incidences of femoral neck fracture can be closely matched in both sexes by use of a linear function to describe age-related bone loss. For fracture of the distal radius, a close match can be achieved in women by use of an exponential function to describe the bone loss phase. In men, the incidence is independent of age; trauma, rather than the amount of bone in the forearm, appears to be the main determinant of fracture risk.
通过蒙特卡洛模拟实现了一个能够预测特定年龄骨折发生率的与年龄相关的骨质流失随机模型。每次模拟都涉及使一大群个体从20岁到100岁老化。每个个体在年轻时被随机分配特定数量的骨量、骨质流失的起始年龄以及决定后续骨质流失的参数值。当骨量高于全局阈值水平时,骨折风险被假定为零,随着骨量降至阈值以下,骨折风险逐渐增加。从个体骨折风险中,确定骨折亚群并通过数值评估特定年龄的发生率。通过调整模型参数,使用线性函数描述与年龄相关的骨质流失,可使男女股骨颈骨折的预测发生率和观察发生率紧密匹配。对于桡骨远端骨折,通过使用指数函数描述骨质流失阶段,可在女性中实现紧密匹配。在男性中,骨折发生率与年龄无关;创伤而非前臂中的骨量似乎是骨折风险的主要决定因素。