Bulletin of Mathematical Biology

, Volume 75, Issue 9, pp 1612–1635 | Cite as

The Kinetics of Vitamin D3 in the Osteoblastic Cell

  • James L. Buchanan
  • Robert Gilbert
  • Yvonne Ou
  • Anja Nohe
  • Rachel Schaefer
Original Article


Experimental evidence is presented on the translocation of vitamin D metabolite, 1,25-(OH)2D3, from the membrane to the nucleus in osteoblast progenitor cells. A mathematical model permitting traversal of the cytoplasm at either a fixed velocity or by diffusion is formulated in order to determine whether transport along the cytoskeletal tracks is more consistent with the observed spatial-temporal distribution than diffusion, and it is so found. The model includes reactions in the nucleus involving D3 to form other compounds, such as protegerin, and thus also makes predictions of the concentrations of these compounds in various regions of the cell.


Vitamin D Convection–diffusion 


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Copyright information

© Society for Mathematical Biology 2013

Authors and Affiliations

  • James L. Buchanan
    • 1
  • Robert Gilbert
    • 2
  • Yvonne Ou
    • 2
  • Anja Nohe
    • 3
  • Rachel Schaefer
    • 3
  1. 1.Mathematics DepartmentUnited States Naval AcademyAnnapolisUSA
  2. 2.Department of Mathematical SciencesUniversity of DelawareNewarkUSA
  3. 3.Biological SciencesUniversity of DelawareNewarkUSA

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