ArticleFrontiers in cell and developmental biology2015
Mathematical model for bone mineralization.
Article in Frontiers in cell and developmental biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- A cellular automaton model of osteogenic differentiation reveals identifiability limits of endpoint assays.Frontiers in systems biology · 2026Article
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- Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants.Computational and structural biotechnology journal · 2025Article
- Mathematical model capturing physicochemical and biological regulation of bone mineralization.Scientific reports · 2024Article
- Dynamic-Cross-Linked, Regulated, and Controllable Mineralization Degree and Morphology of Collagen Biomineralization.Journal of functional biomaterials · 2024Article
- Targeting strategies for bone diseases: signaling pathways and clinical studies.Signal transduction and targeted therapy · 2023Review
- Time-Dependent Collagen Fibered Structure in the Early Distraction Callus: Imaging Characterization and Mathematical Modeling.Annals of biomedical engineering · 2022Article
- Molecular Quantity Variations in Human-Mandibular-Bone Osteoid.Calcified tissue international · 2022Article
- Modeling osteoporosis to design and optimize pharmacological therapies comprising multiple drug types.eLife · 2022Article
- Proteomic Analysis of Decellularized Extracellular Matrix: Achieving a Competent Biomaterial for Osteogenesis.BioMed research international · 2022Article
- 3D Interrelationship between Osteocyte Network and Forming Mineral during Human Bone Remodeling.Advanced healthcare materials · 2021Article
- Role of Phosphate in Biomineralization.Calcified tissue international · 2021Review
- Current and Emerging Therapeutic Options for the Management of Rare Skeletal Diseases.Paediatric drugs · 2019Review
- A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children.Materials (Basel, Switzerland) · 2018Article
- Persistence of the ABCC6 genes and the emergence of the bony skeleton in vertebrates.Scientific reports · 2018Article
- Cartilage canals in the distal intermediate ridge of the tibia of fetuses and foals are surrounded by different types of collagen.Journal of anatomy · 2017Article
- Predictive computational modeling to define effective treatment strategies for bone metastatic prostate cancer.Scientific reports · 2016Article
Corrections and comments
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Authors and funding
8 authors.
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Abstract
Defective bone mineralization has serious clinical manifestations, including deformities and fractures, but the regulation of this extracellular process is not fully understood. We have developed a mathematical model consisting of ordinary differential equations that describe collagen maturation, production and degradation of inhibitors, and mineral nucleation and growth. We examined the roles of individual processes in generating normal and abnormal mineralization patterns characterized using two outcome measures: mineralization lag time and degree of mineralization. Model parameters describing the formation of hydroxyapatite mineral on the nucleating centers most potently affected the degree of mineralization, while the parameters describing inhibitor homeostasis most effectively changed the mineralization lag time. Of interest, a parameter describing the rate of matrix maturation emerged as being capable of counter-intuitively increasing both the mineralization lag time and the degree of mineralization. We validated the accuracy of model predictions using known diseases of bone mineralization such as osteogenesis imperfecta and X-linked hypophosphatemia. The model successfully describes the highly nonlinear mineralization dynamics, which includes an initial lag phase when osteoid is present but no mineralization is evident, then fast primary mineralization, followed by secondary mineralization characterized by a continuous slow increase in bone mineral content. The developed model can potentially predict the function for a mutated protein based on the histology of pathologic bone samples from mineralization disorders of unknown etiology.
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