2006
DOI: 10.1089/ten.2006.12.705
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Analysis of Cell Growth in Three-Dimensional Scaffolds

Abstract: The in vitro growth of pre-osteoblasts in multi-layer, three-dimensional scaffolds was determined from experimental measurements and was compared to a mathematical model. Immediately following cell seeding, the initial cell density was uniform throughout the scaffold. After 10 days, the cell density increased from 2.1 x 10(5) cells/cm(3) to 1.3 x 10(7) cells/cm(3) at the fluid-scaffold interface. The increase in cell density was largely confined to the outermost 200 microm from the fluid-scaffold interface. Th… Show more

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Cited by 99 publications
(90 citation statements)
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“…Prompted by this prospect, recent years have seen a rapid increase in the number of mathematical models aimed at the regeneration of articular cartilage [9,11,14,22,33,34]; overview in [41]. Mathematical modelling in tissue engineering broadly divides into structural and nutrient approaches, and few authors have considered the interaction between the two.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Prompted by this prospect, recent years have seen a rapid increase in the number of mathematical models aimed at the regeneration of articular cartilage [9,11,14,22,33,34]; overview in [41]. Mathematical modelling in tissue engineering broadly divides into structural and nutrient approaches, and few authors have considered the interaction between the two.…”
Section: Introductionmentioning
confidence: 99%
“…Models for metabolic networks are being developed to support fundamental biological research [10]. However, due to lack of available data, most models that couple cellular uptake to transport in cartilage tissue engineering adopt a far simpler, workable, approach by considering only a single solute assumed to be critical [9,11,22,33,34], or alternatively, couple glucose, oxygen and lactate using a simple mass balance [42]. On the other hand, in related tissues such as the intervertebral disk, models have been based on actual, empirically measured, coupled relationships [31].…”
Section: Introductionmentioning
confidence: 99%
“…Typically applied static, i.e. non-agitated, culture conditions generally limit inoculation and proliferation efficiency due to obvious limitation of mass transfer inside biomaterial constructs (Dunn et al, 2006). Each bioprocess development improving cell proliferation in the threedimensional inner structure of scaffolds is strongly invited to overcome these limitations.…”
Section: Introductionmentioning
confidence: 99%
“…Collective motion has been treated in macroscopic continuum models. Usually these models lead to a set of partial differential equations for the masses or concentrations of cells and chemicals (62)(63)(64). Normally the mass balance of cells is governed by a non-linear reaction-diffusion equation and the mass balance of chemicals by a diffusion equation.…”
Section: Introductionmentioning
confidence: 99%