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Modeling Bone Mineralization in Osteogenesis Imperfecta Type VI Jay Gopalakrishnan, Miao-jung Yvonne Ou, Lee Safranek, Erika Zuhr Sean Bohun, Michael Lindstorm, Iain Moyles Svetlana Komarova, Marc McKee, Monzur Murshed, Frank Rauch

Bone mineralization model

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Page 1: Bone mineralization model

Modeling Bone Mineralization in Osteogenesis Imperfecta Type VI

Jay Gopalakrishnan, Miao-jung Yvonne Ou, Lee Safranek, Erika Zuhr

Sean Bohun, Michael Lindstorm, Iain Moyles Svetlana Komarova, Marc McKee, Monzur

Murshed, Frank Rauch

Page 2: Bone mineralization model

Osteogenesis Imperfecta Type VI

9 months 8 years 21 years

Homan et al, J Bone Miner Res 2011;26:2798

Hereditary disorder characterized by brittle bones

Page 3: Bone mineralization model

Homan et al, J Bone Miner Res 2011;26:2798

OI Type VI – Mineralization delay

Size bars: 100μm

Normal histology No red

Patient histology Lots of red

Green – mineralized bone Red – unmineralized bone (osteoid)

Page 4: Bone mineralization model

FREQ

UEN

CY

[% B

ON

E AR

EA]

0

1

2

3

4

5

6

10 15 20 25 30 CALCIUM CONCENTRATION [WEIGHT %]

Patient

Bone Mineral Density Distribution

Reference Curve (C.I. 95%)

Roschger et al, unpublished

OI Type VI – Increase in Material Bone Density

Patient Sex CaPeak z-score Patients from Glorieux et al, 2002

1 M +8.7

2 M +5.7

3 F +2.7

4 M +10.0

5 M +5.0

6 F +9.0

7 M +6.7

8 M +9.3

New Patients

9 M +8.7

Mean: +7.3

More low mineralized bone

More high mineralized

bone

Page 5: Bone mineralization model
Page 6: Bone mineralization model

Mineralization schematics

Page 7: Bone mineralization model

Normal OI type 6

Osteoblasts

Osteoid

Mineralized bone

Page 8: Bone mineralization model

Normal OI type 6

Selected a uniformed region of collagen matrix Modeled changes in time within this small region

Approach 1

Page 9: Bone mineralization model

Model schematics

Collagen (x1)

Mineral (y)

Assembled collagen matrix (x2)

Inhibitors (I)

Nucleators (N)

v1

k1

k2

k3

r1

r2

process

regulation

Page 10: Bone mineralization model

Model assumptions • Collagen matrix is produced by osteoblasts in a naïve form

that requires further maturation into a fully assembled mature collagen matrix.

• Inhibitors of the mineralization are produced in the space near the cells and their availability is proportional to the amount of naïve collagen.

• Inhibitors are degraded, their degradation is stimulated by the presence of fully assembled collagen matrix.

• Nulceators arise in the assembled collagen, each collagen molecule gives rise to one nucleator. Nucleators are removed from the system when mineralization occurs.

• The rate of mineralization is directly proportional to the number of nucleators and is inversely related to the amount of inhibitors.

Page 11: Bone mineralization model

Summary and Conclusions • We identified a number of parameters that can affect

either mineralization delay or degree of mineralization. • A single parameter (k1) describing the rate of matrix

maturation emerged as capable of both, increasing the mineralization delay and degree of mineralization.

• This is consistent with the experimental observations of similar histological phenotypes in two different conditions associated with delayed collagen assembly: 1) mutations within the C-propeptide cleavage site on collagen type I; 2) mutations in BMP-1, that cleaves C-propetide from collagen type I.

PEDF likely regulates the C-propeptide cleavage of collagen type I

Page 12: Bone mineralization model

Future work

1. To define and track physical space occupied by collagen, non-collagenous proteins, water, and mineral.

2. To introduce additional source of nucleators to describe inter-fibrillar mineralization.

3. To better define parameters and validated assumptions using available or new experimental data.

Page 13: Bone mineralization model

Normal OI type 6

Selected a larger region (~30 µm) of collagen matrix, linked to the cells on top

Modeled progression of the mineralization front

Approach 2