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Glial scar size, inhibitor concentration, and growth of regenerating axons after spinal cord transection.

Zhu W, Sun Y, Chen X, Feng S - Neural Regen Res (2012)

Bottom Line: A three-dimensional lattice Boltzmann method was used for numerical simulation.Results demonstrated that (1) a larger glial scar and a higher release rate of inhibitor resulted in a reduced axonal growth rate. (2) The axonal growth rate depended on the ratio of inhibitor to promoter concentrations at the growth cones.When the average ratio was < 1.5, regenerating axons were able to grow and successfully contact target cells.

View Article: PubMed Central - PubMed

Affiliation: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China.

ABSTRACT
A mathematical model has been formulated in accordance with cell chemotaxis and relevant experimental data. A three-dimensional lattice Boltzmann method was used for numerical simulation. The present study observed the effects of glial scar size and inhibitor concentration on regenerative axonal growth following spinal cord transection. The simulation test comprised two parts: (1) when release rates of growth inhibitor and promoter were constant, the effects of glial scar size on axonal growth rate were analyzed, and concentrations of inhibitor and promoters located at the moving growth cones were recorded. (2) When the glial scar size was constant, the effects of inhibitor and promoter release rates on axonal growth rate were analyzed, and inhibitor and promoter concentrations at the moving growth cones were recorded. Results demonstrated that (1) a larger glial scar and a higher release rate of inhibitor resulted in a reduced axonal growth rate. (2) The axonal growth rate depended on the ratio of inhibitor to promoter concentrations at the growth cones. When the average ratio was < 1.5, regenerating axons were able to grow and successfully contact target cells.

No MeSH data available.


Related in: MedlinePlus

The relationship curve of mean inhibitor concentration ratio ((ρ2/ρ1)mean, Y-axis) to inhibitor release ratio (η2, X-axis), and the glial scar diameter ratio (β) in an axon tract of Figure 2.Inhibitor concentration increases with an increasing release ratio η2. If the inhibitor release ratio η2 remains unchanged, the inhibitor concentration increases with an increasing glial scar diameter ratio (β).
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Figure 7: The relationship curve of mean inhibitor concentration ratio ((ρ2/ρ1)mean, Y-axis) to inhibitor release ratio (η2, X-axis), and the glial scar diameter ratio (β) in an axon tract of Figure 2.Inhibitor concentration increases with an increasing release ratio η2. If the inhibitor release ratio η2 remains unchanged, the inhibitor concentration increases with an increasing glial scar diameter ratio (β).

Mentions: Axon growth velocity decreased with increased inhibitor release ratio. If the inhibitor release ratio was unchanged, the inhibitor concentration ratio (ρ2/ρ1)mean increased with the size of the glial scar (Figure 7). Figure 8 shows a scatter diagram of the relationship between mean inhibitor concentration ratio and mean growth velocity of regenerating axons.


Glial scar size, inhibitor concentration, and growth of regenerating axons after spinal cord transection.

Zhu W, Sun Y, Chen X, Feng S - Neural Regen Res (2012)

The relationship curve of mean inhibitor concentration ratio ((ρ2/ρ1)mean, Y-axis) to inhibitor release ratio (η2, X-axis), and the glial scar diameter ratio (β) in an axon tract of Figure 2.Inhibitor concentration increases with an increasing release ratio η2. If the inhibitor release ratio η2 remains unchanged, the inhibitor concentration increases with an increasing glial scar diameter ratio (β).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4308747&req=5

Figure 7: The relationship curve of mean inhibitor concentration ratio ((ρ2/ρ1)mean, Y-axis) to inhibitor release ratio (η2, X-axis), and the glial scar diameter ratio (β) in an axon tract of Figure 2.Inhibitor concentration increases with an increasing release ratio η2. If the inhibitor release ratio η2 remains unchanged, the inhibitor concentration increases with an increasing glial scar diameter ratio (β).
Mentions: Axon growth velocity decreased with increased inhibitor release ratio. If the inhibitor release ratio was unchanged, the inhibitor concentration ratio (ρ2/ρ1)mean increased with the size of the glial scar (Figure 7). Figure 8 shows a scatter diagram of the relationship between mean inhibitor concentration ratio and mean growth velocity of regenerating axons.

Bottom Line: A three-dimensional lattice Boltzmann method was used for numerical simulation.Results demonstrated that (1) a larger glial scar and a higher release rate of inhibitor resulted in a reduced axonal growth rate. (2) The axonal growth rate depended on the ratio of inhibitor to promoter concentrations at the growth cones.When the average ratio was < 1.5, regenerating axons were able to grow and successfully contact target cells.

View Article: PubMed Central - PubMed

Affiliation: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China.

ABSTRACT
A mathematical model has been formulated in accordance with cell chemotaxis and relevant experimental data. A three-dimensional lattice Boltzmann method was used for numerical simulation. The present study observed the effects of glial scar size and inhibitor concentration on regenerative axonal growth following spinal cord transection. The simulation test comprised two parts: (1) when release rates of growth inhibitor and promoter were constant, the effects of glial scar size on axonal growth rate were analyzed, and concentrations of inhibitor and promoters located at the moving growth cones were recorded. (2) When the glial scar size was constant, the effects of inhibitor and promoter release rates on axonal growth rate were analyzed, and inhibitor and promoter concentrations at the moving growth cones were recorded. Results demonstrated that (1) a larger glial scar and a higher release rate of inhibitor resulted in a reduced axonal growth rate. (2) The axonal growth rate depended on the ratio of inhibitor to promoter concentrations at the growth cones. When the average ratio was < 1.5, regenerating axons were able to grow and successfully contact target cells.

No MeSH data available.


Related in: MedlinePlus