A Mathematical Model for Fibrous Dysplasia: The Role of the Flow of Mutant Cells

Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of the skeleton in which normal bone is replaced by structurally unsound fibro-osseous tissue. There is no curative treatment for FD, partly because its pathophysiology is not yet fully known. We present a simple mathematical model...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2024-09, Vol.86 (9), p.108, Article 108
Main Authors: Soloviova, Mariia, Beltrán-Vargas, Juan C., Castro, Luis Fernandez de, Belmonte-Beitia, Juan, Pérez-García, Víctor M., Caballero, Magdalena
Format: Article
Language:English
Subjects:
Bone dysplasia
Cell Biology
Computer Simulation
Dynamic structural analysis
Fibrous dysplasia
Fibrous Dysplasia of Bone - genetics
Fibrous Dysplasia of Bone - pathology
Genetic disorders
Humans
Life Sciences
Mathematical and Computational Biology
Mathematical Concepts
Mathematical models
Mathematics
Mathematics and Statistics
Models, Biological
Mutation
Original Article
Osteoblasts - pathology
Parameter sensitivity
Pathophysiology
Population studies
Skeleton
Steady state models
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Summary:Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of the skeleton in which normal bone is replaced by structurally unsound fibro-osseous tissue. There is no curative treatment for FD, partly because its pathophysiology is not yet fully known. We present a simple mathematical model of the disease incorporating its basic known biology, to gain insight on the dynamics of the involved bone-cell populations, and shed light on its pathophysiology. We develop an analytical study of the model and study its basic properties. The existence and stability of steady states are studied, an analysis of sensitivity on the model parameters is done, and different numerical simulations provide findings in agreement with the analytical results. We discuss the model dynamics match with known facts on the disease, and how some open questions could be addressed using the model.
ISSN:0092-8240
1522-9602
1522-9602
DOI:10.1007/s11538-024-01336-7