A Computer Simulation of Simultaneous Heat and Oxygen Transport during Heterogeneous Three Dimensional Tumor Hyperthermia

Kang, Kyung A.; Bruley, Duane F.; Bicher, Haim I.

doi:10.1007/978-1-4615-9510-6_92

Cited by 4 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some of these models consider tumor tissue in various respects. Kang, et al [ 17 ] models oxygen transport during tumor hyperthermia. Kavanagh, et al [ 18 ] models tumor oxygenation under varying hemoglobin-oxygen affinities.…”

Section: Introductionmentioning

confidence: 99%

Histological Image Processing Features Induce a Quantitative Characterization of Chronic Tumor Hypoxia

et al. 2016

View full text Add to dashboard Cite

Hypoxia in tumors signifies resistance to therapy. Despite a wealth of tumor histology data, including anti-pimonidazole staining, no current methods use these data to induce a quantitative characterization of chronic tumor hypoxia in time and space. We use image-processing algorithms to develop a set of candidate image features that can formulate just such a quantitative description of xenographed colorectal chronic tumor hypoxia. Two features in particular give low-variance measures of chronic hypoxia near a vessel: intensity sampling that extends radially away from approximated blood vessel centroids, and multithresholding to segment tumor tissue into normal, hypoxic, and necrotic regions. From these features we derive a spatiotemporal logical expression whose truth value depends on its predicate clauses that are grounded in this histological evidence. As an alternative to the spatiotemporal logical formulation, we also propose a way to formulate a linear regression function that uses all of the image features to learn what chronic hypoxia looks like, and then gives a quantitative similarity score once it is trained on a set of histology images.

show abstract

Section: Introductionmentioning

confidence: 99%

Histological Image Processing Features Induce a Quantitative Characterization of Chronic Tumor Hypoxia

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Another approach that has been used in parallel array models of O 2 transport, and which could also be applied to capillary networks, is the Williford-Bruley (W-B) ''probabilistic deterministic'' numerical method [8,45]. This technique uses time-dependent probability density functions in three spatial dimensions to evolve tissue O 2 distributions on a grid.…”

Section: Parallel Capillary Modelsmentioning

confidence: 99%

Theoretical Models of Microvascular Oxygen Transport to Tissue

Goldman¹

2008

Microcirculation

165

176

View full text Add to dashboard Cite

To improve understanding of microvascular O 2 transport, theoretical modeling has been pursued for many years. The large number of studies in this area attests to the complexities (biochemical, structural, hemodynamic) involved. This article focuses on theoretical studies from the last two decades and, in particular, on models of O 2 transport to tissue by discrete microvessels. A brief discussion of intravascular O 2 transport is first given, highlighting the physiological importance of intravascular resistance to blood-tissue O 2 transfer. This is followed by a description of the Krogh tissue cylinder model of O 2 transport by a single capillary, which is shown to remain relevant in modified forms that relax many of the original biophysical assumptions. However, there are many geometric and hemodynamic complexities that require the consideration of microvascular arrays and networks. Multi-vessel models are discussed which have shown the physiological importance of heterogeneities in vessel spacing, O 2 supply, red blood cell flow path, as well as interactions between capillaries and arterioles. These realistic models require sophisticated methods for solving the governing partial differential equations, and a range of solution techniques are described. Finally, the issue of experimental validation of microvascular O 2 delivery models is discussed, and new directions in O 2 transport modeling are outlined.

show abstract

Modeling Oxygen Transport: Development of Methods and Current State

Bruley

1994

Advances in Experimental Medicine and Biology

View full text Add to dashboard Cite

A Computer Simulation of Simultaneous Heat and Oxygen Transport during Heterogeneous Three Dimensional Tumor Hyperthermia

Cited by 4 publications

References 10 publications

Histological Image Processing Features Induce a Quantitative Characterization of Chronic Tumor Hypoxia

Histological Image Processing Features Induce a Quantitative Characterization of Chronic Tumor Hypoxia

Theoretical Models of Microvascular Oxygen Transport to Tissue

Modeling Oxygen Transport: Development of Methods and Current State

Contact Info

Product

Resources

About