title: Simulation of a computed HbA1c using a weighted average glucose.
abstract: BACKGROUND
  The A1c-derived average glucose examined the link between the glycated haemoglobin and the estimated average glucose, and provided a linear relation between them. Other studies proved that, over a period of 4 months, plasma glucose in the preceding 30 days contribute to about 50 % to the glycated haemoglobin value while the other 50 % is due to the remaining 3 months altogether.
  In this technical note, we propose a weighted method assuming that the contribution of glucose to glycated haemoglobin over 3 months is chronologically 20 %, 30 % and 50 % respectively. A comparison is made with the linear regression method which uses the same estimated average glucose over the whole period. Results yielded by the weighted method are also compared to those given by the model proposed by Ladyzyński et al.
  
  
  RESULTS
  A simulation is carried out on data assumed to come from a first individual with nearly the same level of glucose over 3 months, a second individual who starts with high levels of glucose and then reaches a stabilised low level by the last month, and finally, a third case who had just been diagnosed with diabetes during the last month whereas he/she had a normal glycaemia during the preceding 2 months. The weighted method gives more realistic values of HbA1c (7.36 %, 6.80 %, 8.49 %) than the linear regression method without weights which gives the same value (7.45 %) for the three cases. Another comparison shows that the three values given by the weighted method are slightly smaller than the corresponding values given by the model of Ladyzynski et al. (7.62 %, 7.02 %, 8.8 %) but the relative variation is nearly the same for the three values (≈3 %).
  
  
  CONCLUSIONS
  Without regular self-testing and day-to-day insights, a sole HbA1c value can be confusing and misleading. For physicians and patients, a clear understanding of the relationship between the weighted average glucose and HbA1c is necessary in order to set an appropriate daily control depending on whether the glucose is stabilized over the whole period, at the beginning, at the end; or still under recurrent episodes of high and low levels. The measured HbA1c at a biological laboratory gives no indication on glucose variation. Moreover, low values of glucose may cancel high values and lead to a "good" average glucose and ideal glycated haemoglobin.
authors.affiliation: URAC04, LaMSD, Department of Mathematics and Informatics, Faculty of Sciences, University Mohamed Ist, Oujda, Morocco.
authors.forename: W
authors.initials: W
authors.lastname: Boutayeb
authors.affiliation: URAC04, LaMSD, Department of Mathematics and Informatics, Faculty of Sciences, University Mohamed Ist, Oujda, Morocco.
authors.forename: A
authors.initials: A
authors.lastname: Boutayeb
authors.affiliation: URAC04, LaMSD, Department of Mathematics and Informatics, Faculty of Sciences, University Mohamed Ist, Oujda, Morocco.
authors.forename: M
authors.initials: M
authors.lastname: Lamlili
authors.affiliation: ISPITS Oujda Annex Nador, Health Ministry, Oujda, Morocco.
authors.forename: S
authors.initials: S
authors.lastname: Ben El Mostafa
authors.affiliation: Health Ministry, Oujda, Morocco.
authors.forename: N
authors.initials: N
authors.lastname: Zitouni
keywords: Average glucose; Diabetes; Glycated haemoglobin; HbA1c; Weighted method