RESEARCH PAPER
Mathematical predictive relationship of CD4+ lymphocytes and total leukocytes in HIV-infected patients
 
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1
Insight Group, Nacional University Hospital of Colombia, Bogotá, Colombia
 
2
Humanitas Group, Faculty of Education and Humanities, Universidad Militar Nueva Granada, Bogotá, Colombia
 
3
Services and Consulting in Infectology, Bogotá, Colombia
 
4
Clínica de Marly. Bogotá, Colombia.
 
5
Faculty of Basic and Applied Sciences, Universidad Militar Nueva Granada, Bogotá, Colombia
 
6
Faculty of Medicine, Universidad Militar Nueva Granada, Bogotá, Colombia
 
 
Submission date: 2021-09-26
 
 
Final revision date: 2022-03-06
 
 
Acceptance date: 2022-04-19
 
 
Online publication date: 2024-05-21
 
 
Corresponding author
Javier Oswaldo Rodríguez Velasquez   

Insight Group. Hospital Universitario Nacional de Colombia. Bogotá, Colombia.
 
 
HIV & AIDS Review 2024;23(2):124-129
 
KEYWORDS
TOPICS
ABSTRACT
Introduction:
Different parameters have been established to direct the treatment of patients with human immunodeficiency virus (HIV) infection, such as CD4+ lymphocyte values, and it is of clinical interest to have methodologies that accurately predict these values. Aim of the study was to predict the total values of leukocytes and CD4+ lymphocytes greater than 500 cells/μl3 in HIV-infected patients using the theory of probability and set theory.

Material and methods:
Starting from 7 cases with several records over time, an induction was performed establishing mathematical patterns between CD4+ lymphocyte values and total leukocyte values, while applying the probability theory to calculate predictive accuracy in 43 cases, and subsequently, sensitivity and specificity were calculated in a blinded study.

Results:
In total, 184 records were analyzed for 50 cases. The values of total leukocytes equal to or greater than 3.9 cells/mm3 were predicted to correspond to CD4+ lymphocyte values greater than 500 cells/μl3 in 100% of time, with sensitivity and specificity results of 100%.

Conclusions:
This is the first investigation with the theory of probability, in which predictions were made from leukocyte values equal to or greater than 3.9 cells/mm3 to find CD4+ lymphocyte counts. A predictive probabilistic methodology was developed, and determined results for the calculated ranges were found.

 
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