title: Predictions of CD4 lymphocytes' count in HIV patients from complete blood count.
abstract: BACKGROUND
  HIV diagnosis, prognostic and treatment requires T CD4 lymphocytes' number from flow cytometry, an expensive technique often not available to people in developing countries. The aim of this work is to apply a previous developed methodology that predicts T CD4 lymphocytes' value based on total white blood cell (WBC) count and lymphocytes count applying sets theory, from information taken from the Complete Blood Count (CBC).
  
  
  METHODS
  Sets theory was used to classify into groups named A, B, C and D the number of leucocytes/mm3, lymphocytes/mm3, and CD4/μL3 subpopulation per flow cytometry of 800 HIV diagnosed patients. Union between sets A and C, and B and D were assessed, and intersection between both unions was described in order to establish the belonging percentage to these sets. Results were classified into eight ranges taken by 1000 leucocytes/mm3, calculating the belonging percentage of each range with respect to the whole sample.
  
  
  RESULTS
  Intersection (A ∪ C) ∩ (B ∪ D) showed an effectiveness in the prediction of 81.44% for the range between 4000 and 4999 leukocytes, 91.89% for the range between 3000 and 3999, and 100% for the range below 3000.
  
  
  CONCLUSIONS
  Usefulness and clinical applicability of a methodology based on sets theory were confirmed to predict the T CD4 lymphocytes' value, beginning with WBC and lymphocytes' count from CBC. This methodology is new, objective, and has lower costs than the flow cytometry which is currently considered as Gold Standard.
authors.affiliation: Insight Group, Research Area and Special Internship "Mathematical and Physical Theories Applied to Medicine", Medicine Faculty, Universidad Militar Nueva Granada, Cr 11 No,101-80 Bogotá, Colombia. grupoinsight2025@yahoo.es.
authors.forename: Javier O
authors.initials: JO
authors.lastname: Rodríguez
authors.forename: Signed E
authors.initials: SE
authors.lastname: Prieto
authors.forename: Catalina
authors.initials: C
authors.lastname: Correa
authors.forename: Carlos E
authors.initials: CE
authors.lastname: Pérez
authors.forename: Jessica T
authors.initials: JT
authors.lastname: Mora
authors.forename: Juan
authors.initials: J
authors.lastname: Bravo
authors.forename: Yolanda
authors.initials: Y
authors.lastname: Soracipa
authors.forename: Luisa F
authors.initials: LF
authors.lastname: Alvarez
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