title: A study of the validity of a simulation of third molar eruption based on Markov modelling.
abstract: OBJECTIVE
  The study was undertaken to examine the extent to which a model based on a Markov modelling process would simulate the eruption of lower third molars.
  
  
  METHODS
  A Markov process model was developed to model eruption of lower third molars using a 1-year time increment based on simulated eruption data relating to 100 lower third molars. This model was tested using a Monte Carlo simulation and compared with eruption patterns of 973 actual lower third molars. Statistical analysis of the differences between the simulated and actual groups was undertaken.
  
  
  RESULTS
  There were no differences between the simulated and actual data other than for the subgroup aged 30-34 where the simulation overestimated the probability of parteruption and underestimated the probability of uneruption and full eruption.
  
  
  CONCLUSIONS
  This methodology produced an accurate model that may be of use in service planning.
authors.affiliation: Department of Oral Surgery, Medicine and Pathology, Dental School, University of Wales College of Medicine, Heath Park, Cardiff.
authors.forename: M R
authors.initials: MR
authors.lastname: Brickley
authors.forename: J P
authors.initials: JP
authors.lastname: Shepherd
mesh_terms: D000293:Adolescent; D000328:Adult; D000367:Age Factors; D003198:Computer Simulation; D006801:Humans; D008334:Mandible; D008390:Markov Chains; D008875:Middle Aged; D008954:Models, Biological; D008964:Molar, Third / Q000502:physiology*; D009010:Monte Carlo Method; D011336:Probability; D015203:Reproducibility of Results; D013997:Time Factors; D014078:Tooth Eruption / Q000502:physiology*; D014097:Tooth, Unerupted / Q000503:physiopathology