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 u b j e c t l e v e l)}_{i} & = π_{0} + π_{1} {(A g e)}_{i} + π_{2} {(S e x)}_{i} + π_{4} {(S a l i v a r y l e v e l s o f A . a)}_{i} + π_{5} {(S a l i v a r y l e v e l s o f P . g)}_{i} \\ + π_{6} {(S a l i v a r y l e v e l s o f P . i)}_{i} + π_{7} {(m e a n C A L)}_{i} + π_{8} {(P l i)}_{i} + \sum_{m = 1}^{5} π_{9}^{(m)} {(t i m e)}_{j} + ε_{i} \end{array}

(1)

e_{i} ~ N (0, δ_{e}^{2})

Fixed effect;
Patient-level: Age, sex, time, salivary levels of A. actinomycetemcomitans, P. gingivalis, and P. intermedia, mean CAL, PlI, time
Random effect: Patients, random intercept
Covariance Type: AR1
Link functions: Gamma