What is it about?

We tried out to find if a nonlinear equation can describe periodontitis progression.

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Why is it important?

The resulted iteration chaotic map could explain the remissions and exacerbations of periodontitis as described in the literature. By renormalization arguments we were able to define two ovelapping zones of disease rate.

Perspectives

It is found that patients can move from an aggressive abberant state to a slow progressing resolving state and vice versa. This explains sudden collapse of moderate cases, or the arrest of disease in aggressive cases. We might better realize the fact that patients are not taking an aggressive or chronic label for all their lives Tests must be developed that periodically applied might define the risk of further disease progression.

Dr Georgios Papantonopoulos
University of Patras

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This page is a summary of: Mathematical Modeling Suggests That Periodontitis Behaves as a Non-Linear Chaotic Dynamical Process, The Journal of Periodontology, October 2013, American Academy of Periodontology (AAP),
DOI: 10.1902/jop.2013.120637.
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