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A mathematical model for fluoride uptake by the skeleton

C H Turner1, G Boivin, P J Meunier

  • 1Department of Orthopaedic Surgery, Indiana School of Medicine, Indianapolis 46202.

Calcified Tissue International
|February 1, 1993
PubMed
Summary
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A mathematical model simulates skeletal fluoride accumulation and clearance. Fluoride clearance from bone is significantly slower than uptake, highlighting risks of high-dose, long-term fluoride treatment.

Area of Science:

  • Biophysics
  • Skeletal Physiology
  • Toxicology

Background:

  • Fluoride accumulation in bone is influenced by intake and bone turnover.
  • Understanding fluoride dynamics is crucial for therapeutic applications and toxicity assessment.

Purpose of the Study:

  • To develop a mathematical model predicting skeletal fluoride accumulation and clearance.
  • To investigate the impact of bioavailability, bone remodeling, and binding characteristics on fluoride dynamics.

Main Methods:

  • Developed a nonlinear mathematical model for fluoride-bone interactions.
  • Incorporated bone resorption proportional to hydroxyfluoroapatite solubility.
  • Validated model predictions against experimental fluoride uptake and clearance data.

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Main Results:

  • Fluoride clearance from bone is over four times slower than uptake.
  • Skeletal fluoride uptake positively correlates with bone remodeling rate.
  • High fluoride intake (>9 mg/day) can lead to toxic levels (>10,000 ppm) in new bone.

Conclusions:

  • Bone remodeling facilitates fluoride clearance, but at a slow rate.
  • Therapeutic fluoride dosing (e.g., for osteoporosis) requires careful consideration of cumulative bone fluoride content to prevent toxicity.