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MULTILEVEL HIDDEN MARKOV MODELS FOR STUDYING TYPE-1 DIABETES
Keywords:
Markov, hidden Markov model, multilevel hidden Markov model, Type-1 diabetes.DOI:
https://doi.org/10.17654/0973514324011Abstract
Type-1 diabetes, also known as insulin-dependent diabetes, is a chronic illness brought on by the body’s inability to manufacture insulin. This study intends to comprehend the glucose levels of 12 patients from Chinese sources 572 times continuously throughout 143 hours, or once every 15 minutes. We used various Markov models, including the Markov model, hidden Markov model (HMM), and multilevel hidden Markov model, to comprehend the pattern in the data. Three states, hypoglycemia, normal blood sugar, and hyperglycemia, were used to create the probability mass function for the Markov model. For the HMM, emission states increase, decrease, and remain the same, whereas concealed states are hypoglycemia, normal, and hyperglycemia. We select data with a positively skewed distribution for the multilevel hidden Markov model, and the Akaike information criterion (AIC) score determines the hidden states. The models’ respective AIC values are Markov 3138.475 and MHMM 290.689. According to AIC values, the multilevel hidden Markov model is the best.
Received: October 11, 2023
Accepted: January 9, 2024
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