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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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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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Bone Formation by Intramembranous Ossification01:29

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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.
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Bone Structure01:55

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Within the skeletal system, the structure of a bone, or osseous tissue, can be exemplified in a long bone, like the femur, where there are two types of osseous tissue: cortical and cancellous.
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Bone Formation by Endochondral Ossification01:24

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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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All bones comprise an outer layer of compact bone, and an interior made up of spongy bone tissue, also called cancellous or trabecular bone. In long bones, spongy bone tissue is mainly found in the interior of the epiphyses (broad ends of the bone).
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Bone remodeling as a spatial evolutionary game.

Marc D Ryser1, Kevin A Murgas2

  • 1Department of Mathematics, Duke University, 120 Science Drive, 117 Physics Building, Durham, NC 27708 USA.

Journal of Theoretical Biology
|January 22, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces a new spatial bone remodeling model using evolutionary game theory. It highlights how space and osteocytes significantly influence bone structure, leading to sponge-like formations.

Keywords:
Bone physiologyInteracting particle systemsOsteoblastsOsteoclastsOsteocytesSpatial evolutionary gamesTrabecular remodeling

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Area of Science:

  • Biophysics
  • Computational Biology
  • Skeletal Biology

Background:

  • Bone remodeling is a complex biological process crucial for skeletal health.
  • Previous non-spatial and spatial models of bone remodeling have limitations in analytical tractability, computational cost, and neglecting osteocyte roles.
  • Osteocytes, embedded within bone, play a vital role in mechanotransduction and regulating remodeling.

Purpose of the Study:

  • To develop a novel, analytically tractable spatial model for bone remodeling.
  • To explicitly incorporate the regulatory role of bone-embedded osteocytes in the remodeling process.
  • To investigate the impact of spatial structure on bone remodeling dynamics and outcomes.

Main Methods:

  • Developed a spatial bone remodeling model based on evolutionary game theory principles.
  • Utilized tools from the theory of interacting particle systems to analyze model dynamics.
  • Performed three-dimensional simulations to observe emergent structures in coexistence scenarios.

Main Results:

  • The model successfully describes spatial interactions between bone resorption, formation, and quiescent zones.
  • Identified parameter regions enabling global coexistence of remodeling states, mirroring physiological bone remodeling.
  • Revealed the emergence of sponge-like bone clusters in 3D simulations under coexistence conditions.
  • Demonstrated substantial differences between spatial and non-spatial models, indicating a stabilizing role of space.

Conclusions:

  • Spatial structure and bone-embedded osteocytes are critical factors in accurately modeling bone remodeling.
  • The proposed lattice-based model offers analytical tractability and can be coupled with mechanical loading models.
  • Findings underscore the importance of integrating spatial dynamics and cellular regulation for understanding bone maintenance and adaptation.