2016
DOI: 10.1007/978-3-319-42023-3_3
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Computer Simulations of the Tumor Vasculature: Applications to Interstitial Fluid Flow, Drug Delivery, and Oxygen Supply

Abstract: Tumor vasculature, the blood vessel network supplying a growing tumor with nutrients such as oxygen or glucose, is in many respects different from the hierarchically organized arterio-venous blood vessel network in normal tissues. Angiogenesis (the formation of new blood vessels), vessel cooption (the integration of existing blood vessels into the tumor vasculature), and vessel regression remodel the healthy vascular network into a tumor-specific vasculature. Integrative models, based on detailed experimental … Show more

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Cited by 14 publications
(15 citation statements)
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“…In our study, the human hypoxia status was effectively improved by inhaling oxygen continuously. This method may successfully increase the oxygen supply to the tumor and its surrounding microenvironment 24 , 25 . The SpO2 decline of most volunteers during rest may be explained by the changes in blood SpO2 that could delay the actual physiological level of the normal tissues because of the oxygen and carbon dioxide diffusion times.…”
Section: Discussionmentioning
confidence: 99%
“…In our study, the human hypoxia status was effectively improved by inhaling oxygen continuously. This method may successfully increase the oxygen supply to the tumor and its surrounding microenvironment 24 , 25 . The SpO2 decline of most volunteers during rest may be explained by the changes in blood SpO2 that could delay the actual physiological level of the normal tissues because of the oxygen and carbon dioxide diffusion times.…”
Section: Discussionmentioning
confidence: 99%
“…However, in the current model, only the emergence of new vessels is considered in but no vessel remodeling, eg, through blood vessel regression, collapse, or dilation . In fully resolving vasculature models, these phenomena are usually taken into account quite naturally through suitable constitutive equations for the blood vessel radius . In our homogenized treatment of the NV, vascular remodeling could also be incorporated as an additional effect in Equation , for instance, via a right‐hand side term, which induces a decrease in vessel volume fraction based on the pressure exerted by the tumor on the NV.…”
Section: Incorporation Of the Embedded 1d Fluid Network Into The Vascmentioning
confidence: 99%
“…(e) A hybrid CA model of tumour-induced angiogenesis and growth within a digitized vasculature, from [86]. (f ) Heterogeneous CA vascular network, from [87]. (g) Distribution of a blood-borne drug simulated with the hybrid model of discrete vasculature, continuous tumour mass and drug kinetics, from [88].…”
Section: Mathematical Models Of Anti-cancer Therapiesmentioning
confidence: 99%