2016
DOI: 10.1007/s10517-016-3326-1
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Mathematical and Experimental Model of Oxygen Diffusion for HepaRG Cell Spheroids

Abstract: 3D cell cultures are extensively used to study in vitro toxic effect of xenobiotics. When using multicellular spheroids, the question about their optimal size should be solved: small spheroids are difficult to manipulate, while large size of spheroids impairs the transport of nutrients and oxygen into the center. Mathematical models describing the distribution of substances in multicellular spheroids numerical procedure for solving differential equation system, which complicates their use in laboratory practic… Show more

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Cited by 14 publications
(15 citation statements)
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“…The limited diffusion of glucose and oxygen to spheroids, combined with the specified geometry in which the spheroid is cultured, make the problem unpredictable. Thus, mathematical and numerical analyses combined with experimental investigations are needed [64][65][66][138][139][140].…”
Section: Accepted Manuscriptmentioning
confidence: 99%
“…The limited diffusion of glucose and oxygen to spheroids, combined with the specified geometry in which the spheroid is cultured, make the problem unpredictable. Thus, mathematical and numerical analyses combined with experimental investigations are needed [64][65][66][138][139][140].…”
Section: Accepted Manuscriptmentioning
confidence: 99%
“…The result suggests the absence of necrotic core within the formed MG-63 spheroids. Since the tendency to form necrotic cores decreases with the decreasing spheroid diameter, 39,50 the possibility of necrosis in the smaller spheroids can be negated.…”
Section: Characterization Of Oxygen Sensitive Reagentmentioning
confidence: 99%
“…The complicated geometries of the µSFCs and the limited diffusion of glucose and oxygen to spheroids create unpredictable concentration profiles within the cultured spheroids. Thus, mathematical and numerical analyses combined with experimental investigations are needed to predict the condition of hypoxia in the spheroids [108,[112][113][114][115][116]. The microstructure-or microwell-based µSFCs have limited applications in high-throughput screening.…”
Section: Microfluidic Methods For Spheroid Culturementioning
confidence: 99%