2007
DOI: 10.1016/j.jbiomech.2007.01.003
|View full text |Cite
|
Sign up to set email alerts
|

Computation of coupled diffusion of oxygen, glucose and lactic acid in an intervertebral disc

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

5
64
1

Year Published

2008
2008
2023
2023

Publication Types

Select...
6
1

Relationship

1
6

Authors

Journals

citations
Cited by 103 publications
(70 citation statements)
references
References 53 publications
(78 reference statements)
5
64
1
Order By: Relevance
“…where R(C) is the production rate (positive) of metabolic byproducts or consumption rate (negative) of nutrient species, respectively, given in concentration units/h, C is the solute concentration (kPa for oxygen, nmol/mm 3 for glucose and lactate) and D is the diffusivity (mm 2 /h) [32,33] (see Table 1 for input data). The model is subject to boundary conditions (Fig.…”
Section: Finite Element Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…where R(C) is the production rate (positive) of metabolic byproducts or consumption rate (negative) of nutrient species, respectively, given in concentration units/h, C is the solute concentration (kPa for oxygen, nmol/mm 3 for glucose and lactate) and D is the diffusivity (mm 2 /h) [32,33] (see Table 1 for input data). The model is subject to boundary conditions (Fig.…”
Section: Finite Element Modelmentioning
confidence: 99%
“…As described earlier [32,33], the convergence of the present steady-state case was hardly reached due to severe nonlinearities; therefore a pseudo-transient approach was employed by adding a capacity matrix (CM) to the conventional matrix (K) while using the implicit method. The final system in the matrix form is given as:…”
Section: Finite Element Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Tissue culture and mathematical based studies have clearly established the importance of adequate oxygen (Kumar et al, 2004;Wang et al, 2008) and glucose delivery (Boubriak et al, 2006;Converti et al, 1996;Mokhbi Soukane et al, 2007) for adequate cell activity and tissue formation and noted that any unmet demand of nutrients can lead to low cell proliferation, and low collagen production particularly at the center of scaffolds with low porosities (Ishaug-Riley et al, 1998;Patnaik et al, 2013).…”
Section: Discussionmentioning
confidence: 99%
“…(Boubriak et al, 2006;Converti et al, 1996;Day et al, 2013;Gao and Xu, 2011;Koutny, 2011a;Koutny, 2011b;Martineau, 2012;Mokhbi Soukane et al, 2007).…”
Section: Chapter 5: Mass Transport Modelmentioning
confidence: 99%