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Perfusion systems that minimize vascular volume fraction in engineered tissues
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10.1063/1.3576926
/content/aip/journal/bmf/5/2/10.1063/1.3576926
http://aip.metastore.ingenta.com/content/aip/journal/bmf/5/2/10.1063/1.3576926

Figures

Image of FIG. 1.
FIG. 1.

Schematic diagrams of (a) the model construct and (b) the computational domain. (a) The construct of thickness contained vessels of diameter and spacing . Dashed black lines indicate planes of symmetry and red lines denote the computational domain. (b) The domain consisted of a wedge with indicated boundary conditions.

Image of FIG. 2.
FIG. 2.

Optimization for the case of , , , , , and Hg. (a) Color map of oxygen concentration for and . The minimum oxygen concentration in this model is . Flow is from left to right. (b) Plots of vs vascular spacing for various vascular diameters . (c) Plots of vs for various vascular volume fractions. (d) Plot of vs for models in which . Vascular volume fractions are noted as percentages. The optimal and (red dots) are 93.6 and , respectively.

Image of FIG. 3.
FIG. 3.

(a) Plot of minimum vascular volume fraction vs axial pressure difference . [(b) and (c)] Plots of vascular diameter and spacing vs for the optimized models in (a). For all models, , , , , and Hg.

Image of FIG. 4.
FIG. 4.

(a) Plot of minimum vascular volume fraction vs perfusate viscosity . [(b) and (c)] Plots of vascular diameter and spacing vs for the optimized models in (a). For all models, , , , , and Hg. Red curves denote data from Fig. 3 in which is scaled by 20 cm .

Image of FIG. 5.
FIG. 5.

(a) Plot of minimum vascular volume fraction vs scaffold thickness . [(b) and (c)] Plots of vascular diameter and spacing vs for the optimized models in (a). For all models, , , , , and Hg. Red curves denote data from Figs. 3 and 4 in which is scaled by .

Image of FIG. 6.
FIG. 6.

(a) Plot of minimum vascular volume fraction vs oxygen consumption rate . [(b) and (c)] Plots of vascular diameter and spacing vs for the optimized models in (a). For all models, , , , , and Hg.

Image of FIG. 7.
FIG. 7.

(a) Plot of minimum vascular volume fraction vs inlet oxygen solubility . [(b) and (c)] Plots of vascular diameter and spacing vs for the optimized models in (a). For all models, , , , , and .

Tables

Generic image for table
Table I.

Design parameters and their values.

Generic image for table
Table II.

Predicted optimal geometries from Eqs. (8) and (9) and computationally determined optima for selected cases.

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/content/aip/journal/bmf/5/2/10.1063/1.3576926
2011-06-29
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Perfusion systems that minimize vascular volume fraction in engineered tissues
http://aip.metastore.ingenta.com/content/aip/journal/bmf/5/2/10.1063/1.3576926
10.1063/1.3576926
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