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Related Concept Videos

Bone Remodeling01:40

Bone Remodeling

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Bone remodeling is a continuous and balanced process of bone resorption by osteoclasts and bone formation by osteoblasts. In adults, it helps maintain bone mass and calcium homeostasis. While mechanical stress can stimulate turnover as part of the normal maintenance and reparative process, several hormones also regulate bone remodeling.
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Bone Formation by Endochondral Ossification01:24

Bone Formation by Endochondral Ossification

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Bone formation, or ossification, begins around the sixth to seventh week of embryonic development. Most bones develop from a cartilaginous template through the process of endochondral ossification. Cartilage formation begins when clusters of mesenchymal cells differentiate into chondrocytes. These chondrocytes proliferate rapidly and secrete an extracellular matrix that becomes encased in a membrane called the perichondrium. The resulting cartilage model provides a template that resembles the...
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Bone Formation by Intramembranous Ossification01:29

Bone Formation by Intramembranous Ossification

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Intramembranous ossification is one of the two processes involved in the development of bones within an embryo. The flat bones of the face, most of the cranial bones, and the clavicles are formed via this process. During intramembranous ossification, the bones develop directly from sheets of undifferentiated mesenchymal connective tissue.
The process begins when mesenchymal cells in the embryonic skeleton gather together and differentiate into osteogenic cells, which then develop into ...
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Growth of Cartilage and Bone Tissue01:27

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Chondrocytes form a temporary cartilaginous model by dividing and secreting a thick gel-like extracellular matrix. Once the chondrocytes undergo programmed cell death, osteoblasts enter the site of the cartilaginous model. The process of replacing the temporary cartilaginous model with bone in an ordered manner is called endochondral ossification. In endochondral ossification, not all of the cartilage is replaced by bone tissue. Some cartilage that performs a protective and supportive function...
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The Bone Matrix01:18

The Bone Matrix

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Bone contains a relatively small number of cells entrenched in a matrix of collagen fibers that provide an adherent surface for inorganic salt crystals. Both components of the matrix, organic and inorganic, contribute to the unusual properties of bone. Without collagen, bones would be brittle and shatter easily. Without mineral crystals, bones would flex and provide little support. This can be observed by an experiment: when the minerals of a bone are dissolved by soaking the bone in...
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Osteoclasts in Bone Remodeling01:31

Osteoclasts in Bone Remodeling

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Osteoclasts are cells responsible for bone resorption and remodeling. They originate from hematopoietic progenitor cells present in the bone marrow. Numerous progenitor cells fuse to form multinucleated cells, each with 10-20 nuclei. A single osteoclast has a diameter of 150 to 200 µM. These cells have ruffled borders that break down the underlying bone tissue and release minerals such as calcium into the blood in bone resorption. Osteoclasts cling to bones with their ruffled edges during...
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Related Experiment Video

Updated: Mar 7, 2026

Culture of Murine Embryonic Metatarsals: A Physiological Model of Endochondral Ossification
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Culture of Murine Embryonic Metatarsals: A Physiological Model of Endochondral Ossification

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A cellular automata model of bone formation.

Gabrielle K Van Scoy1, Estee L George2, Flora Opoku Asantewaa1

  • 1Department of Mathematics and Statistics, Youngstown State University, USA.

Mathematical Biosciences
|February 13, 2017
PubMed
Summary

This study developed a mathematical model to simulate bone formation. The model accurately replicated in vitro mineralization data, validating its potential for understanding bone remodeling and metabolic bone diseases.

Keywords:
Agent-based modelBoneBone formationCellular automataMathematical models of bone formationOsteoblastPermutation tests

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Area of Science:

  • Biomedical Engineering
  • Cell Biology
  • Computational Biology

Background:

  • Bone remodeling is a complex cellular process involving osteocytes, osteoblasts, and osteoclasts to maintain bone homeostasis.
  • Dysregulation of bone remodeling contributes to diseases like osteoporosis and affects bone health during spaceflight.
  • Understanding the multicellular interactions in bone remodeling is crucial for developing treatments and improving implant longevity.

Purpose of the Study:

  • To develop and validate a mathematical model simulating bone formation.
  • To utilize a cellular automata approach to model in vitro osteoblastic cell mineralization.
  • To provide a predictive tool for understanding bone remodeling dynamics.

Main Methods:

  • Constructed a cellular automata model to simulate osteoblastic cell mineralization in vitro.
  • Collected and quantified mineralization data from cell cultures over 26 days.
  • Employed permutation tests to compare experimental data with model simulations.

Main Results:

  • The cellular automata model successfully simulated the in vitro mineralization process.
  • Permutation tests confirmed that the mineralization distributions from the model and experiments were statistically similar.
  • The developed mathematical model is validated by experimental data.

Conclusions:

  • The validated cellular automata model offers a promising tool for studying bone formation and remodeling.
  • This approach can aid in understanding the multicellular complexity of bone metabolism.
  • The model has potential applications in eradicating metabolic bone diseases and enhancing implant longevity.