Prospective Longitudinal Changes in the Periodontal Inflamed Surface Area Following Active Periodontal Treatment for Chronic Periodontitis

. 2021 Mar 10;10(6):1165. doi: 10.3390/jcm10061165

\begin{array}{l} - L 1 : P I S A {(S a m p l i n g t e e t h)}_{i} & = π_{0} + π_{1} {(% o f A . a i n s u b g i n g i v a l t a o t a l b a c t e r i a)}_{i} \\ + π_{2} {(% o f A . a i n s u b g i n g i v a l t a o t a l b a c t e r i a)}_{i} + π_{3} {(% o f P . g i n s u b g i n g i v a l t a o t a l b a c t e r i a)}_{i} \\ + π_{4} {(% o f P . i i n s u b g i n g i v a l t a o t a l b a c t e r i a)}_{i} + \sum_{m = 1}^{5} π_{5}^{(m)} {(t i m e)}_{j} + ε_{i} \end{array}

(1)

e_{i} ~ N (0, δ_{e}^{2})

Fixed effect;
Patient-level: Proportion of A. actinomycetemcomitans, P. gingivalis, and P. intermedia in the total subgingival bacteria, time
Random effect: Patients
Covariance Type: AR1
Link functions: Gamma