Issue |
Math. Model. Nat. Phenom.
Volume 20, 2025
|
|
---|---|---|
Article Number | 3 | |
Number of page(s) | 41 | |
Section | Mathematical physiology and medicine | |
DOI | https://doi.org/10.1051/mmnp/2024022 | |
Published online | 20 January 2025 |
Modeling Fibrous Dysplasia Progression and its Therapeutic Intervention
1
Department of Mathematics & Mathematical Oncology Laboratory (MOLAB), University of Castilla La-Mancha, Edificio Politecnico, Avda. Camilo Jose Cela s/n, Ciudad Real, 13071 Castilla La-Mancha, Spain
2
National Institutes of Health, Building 30, Room 209, MSC 4320, Bethesda, MD 20892-4320, USA
* Corresponding author: gabriel.fernandez@uclm.es
Received:
18
February
2024
Accepted:
18
November
2024
Fibrous dysplasia (FD) is a rare, benign bone disorder characterized by the abnormal formation of tissue in a mosaic distribution. It can affect multiple bones, causing severe symptoms such as pathological fractures, spinal curvature, and reduced stature, as part of the so-called McCune–Albright Syndrome (MAS). FD originates from postzygotic gain-of-function mutations in the GNAS gene. While treatments for other skeletal diseases like the monoclonal antibody denosumab, used in osteoporosis, have been applied to FD, the absence of a quantitative understanding of the dynamics of lesional cell populations limits both in-depth analysis and therapy optimization. This study introduces a novel pharmacokinetic–pharmacodynamic mathematical model specifically designed for FD, enriched with in vitro/ex vivo data from denosumab assays. Our framework builds upon existing mathematical approaches for osteoporosis, focusing on two cell populations: (1) variant-bearing FD osteoprogenitors and (2) wild-type (WT) osteoprogenitors displaying transferred FD phenotypes. The resulting model paves the way for future in vitro assays targeting FD and related skeletal conditions. Our analyses reveal that abnormal cell proliferation in FD may be due to its atypical inhibition, providing new insights for potential treatment strategies. Furthermore, our simulations identify a promising biomarker for FD diagnosis.
Mathematics Subject Classification: 92D25 / 37N25 / 34K20 / 35Q92 / 34A34
Key words: Pharmacokinetic–pharmacodynamic mathematical modeling / fibrous dysplasia / McCune–Albright Syndrome / metabolic bone disease / osteoporosis / somatic mosaicism / RANKL/RANK/OPG signaling / vesicular RANK / denosumab
© The authors. Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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