Diffusivities of slightly soluble gases in water

Vivian, Jacopo; King, C. Judson

doi:10.1002/aic.690100217

Cited by 127 publications

(46 citation statements)

References 9 publications

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“…This value is similar to, but slightly less than the diffusion coefficient of oxygen in water corrected to 37"C. (Vivian and King, 1964) Other reported diffusion coefficients are summarized in Table 1. …”

Section: A02=[ *%I Soq Equationsupporting

confidence: 48%

Microelectrode measurement of oxygen tensions in collagen-hepatocyte gels

et al. 1991

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Section: A02=[ *%I Soq Equationsupporting

confidence: 48%

Microelectrode measurement of oxygen tensions in collagen-hepatocyte gels

et al. 1991

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“…0~ lo-' to 3 . 0~ cm2/s (Vivian and King, 1964). The effect of the diffusivity on the process is quite important.…”

Section: Simulation Of Experimental Resultsmentioning

confidence: 99%

Visualization and simulation of bubble growth in pore networks

Yortsos

1995

AIChE Journal

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“…A reasonable degree of convection should be present in tissue culture medium under static incubator conditions due to thermal fluctuations imparted by cycling of the incubator heater and mechanical vibrations from the surrounding environment (Baumgartner and Otto, 2003;Vivian and King, 1964). It is therefore assumed that oxygen is continuously replenished at the perimeter of the EHT, and that no appreciable oxygen gradients exist over the 1.2 mm height dimension in the culture medium or EHT (uniform z-axis properties assumption).…”

Section: Boundary Conditionsmentioning

confidence: 99%

Analysis of oxygen transport in a diffusion‐limited model of engineered heart tissue

Brown

MacLellan

Laks

et al. 2007

Biotech & Bioengineering

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Cardiac tissue engineering has made notable progress in recent years with the advent of an experimental model based on neonatal cardiomyocytes entrapped in collage gels and purified basement membrane extract, known as "engineered heart tissues" (EHTs). EHTs are a formidable display of tissue-level contractile function and cellular-level differentiation, although they suffer greatly from mass transport limitations due to the high density of metabolically active cells and the diffusion-limited nature of the hydrogel. In this report, a mathematical model was developed to predict oxygen levels inside a one-dimensional, diffusion-limited model of EHT. These predictions were then compared to values measured in corresponding experiments with a hypoxia-sensitive stain (pimonidazole). EHTs were cast between two plastic discs, which allowed for mass transfer with the culture medium to occur in only the radial direction. EHTs were cultured for up to 36 h in the presence of pimonidazole, after which time they were snap-frozen, histologically sectioned, and stained for bound pimonidazole. Quantitative image analysis was performed to measure the distance from the culture medium at which hypoxia first occurs under various conditions. As tested by variation of simple design parameters, the trends in oxygen profiles predicted by the model are in reasonable agreement with those obtained experimentally, although a number of ambiguities related to the specific model parameters led to a general overprediction of oxygen concentrations. Based on the sensitivity analysis in the present study, it is concluded that diffusion-reaction models may offer relatively precise predictions of oxygen concentrations in diffusion-limited tissue constructs.

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Diffusivities of slightly soluble gases in water

Cited by 127 publications

References 9 publications

Microelectrode measurement of oxygen tensions in collagen-hepatocyte gels

Microelectrode measurement of oxygen tensions in collagen-hepatocyte gels

Visualization and simulation of bubble growth in pore networks

Analysis of oxygen transport in a diffusion‐limited model of engineered heart tissue

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