A poisson process model for hip fracture risk.

The primary method for assessing fracture risk in osteoporosis relies primarily on measurement of bone mass. Estimation of fracture risk is most often evaluated using logistic or proportional hazards models. Notwithstanding the success of these models, there is still much uncertainty as to who will...

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Published in:Medical & Biological Engineering & Computing Vol. 48; no. 8; pp. 799 - 811
Main Authors: Schechner Z, Luo G, Kaufman JJ, Siffert RS, Schechner, Zvi, Luo, Gangming, Kaufman, Jonathan J, Siffert, Robert S
Format: Journal Article
Published: Springer Nature Aug2010
Online Access:View this record in EBSCOhost
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      dt: Aug2010
      vid: 48
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      pub: Springer Nature
      place: New York, New York
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        atl: A poisson process model for hip fracture risk.
      aug:
        au:
          Schechner Z
          Luo G
          Kaufman JJ
          Siffert RS
          Schechner, Zvi
          Luo, Gangming
          Kaufman, Jonathan J
          Siffert, Robert S
        affil: CyberLogic, Inc., 611 Broadway, Suite 707, New York, NY 10012, USA
      sug:
        subj:
          Hip Fractures Etiology
          Models, Statistical
          Osteoporosis Complications
          Accidental Falls
          Bone Density Physiology
          Hip Fractures Physiopathology
          Risk Assessment Methods
          Statistics
      ab: The primary method for assessing fracture risk in osteoporosis relies primarily on measurement of bone mass. Estimation of fracture risk is most often evaluated using logistic or proportional hazards models. Notwithstanding the success of these models, there is still much uncertainty as to who will or will not suffer a fracture. This has led to a search for other components besides mass that affect bone strength. The purpose of this paper is to introduce a new mechanistic stochastic model that characterizes the risk of hip fracture in an individual. A Poisson process is used to model the occurrence of falls, which are assumed to occur at a rate, lambda. The load induced by a fall is assumed to be a random variable that has a Weibull probability distribution. The combination of falls together with loads leads to a compound Poisson process. By retaining only those occurrences of the compound Poisson process that result in a hip fracture, a thinned Poisson process is defined that itself is a Poisson process. The fall rate is modeled as an affine function of age, and hip strength is modeled as a power law function of bone mineral density (BMD). The risk of hip fracture can then be computed as a function of age and BMD. By extending the analysis to a Bayesian framework, the conditional densities of BMD given a prior fracture and no prior fracture can be computed and shown to be consistent with clinical observations. In addition, the conditional probabilities of fracture given a prior fracture and no prior fracture can also be computed, and also demonstrate results similar to clinical data. The model elucidates the fact that the hip fracture process is inherently random and improvements in hip strength estimation over and above that provided by BMD operate in a highly "noisy" environment and may therefore have little ability to impact clinical practice.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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