Effect of remodeled tumor-induced capillary network on interstitial flow in cancerous tissue

Sefidgar, Mostafa; Raahemifar, Kaamran; Bazmara, Hossein; Bazargan, Majid; Mousavi, Seyed Mohammad; Soltani, M.

doi:10.1109/mecbme.2014.6783242

Cited by 9 publications

(7 citation statements)

References 17 publications

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“…The blood flow through network in modeled by considering non-continuous behavior of blood and transvascular flow is calculated by starling's law. The detail of simulation explained in our previous works [1], [6], [7], [12]- [14]. .…”

Section: Intravascular Blood Flowmentioning

confidence: 99%

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Interstitial flow in cancerous tissue: Effect of fluid friction

Sefidgar

Bazmara

Mousavi

et al. 2014

2014 21th Iranian Conference on Biomedical Engineering (ICBME)

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A solid tumor is investigated as porous media for simulation fluid flow through it. Most of the research used Darcy model for porous media. In Darcy model the fluid friction is neglected and some simplified assumption is implemented. In this study the effect of these assumptions is studied by considering Brinkman model. A multi scale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects on solid tumor simulation. The mathematical method involves processes such as blood flow through vessels and solute and fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. The sprouting angiogenesis model is used for generating capillary network and then fluid flow governing equations are implemented to calculate blood flow through the tumor-induced capillary network. Finally, two models of porous media are used for modeling fluid flow in normal and tumor tissues. Simulations of interstitial fluid transport in a solid tumor demonstrate that the simplification used in Darcy model affects on interstitial velocity and Brinkman model predicts a lower value for interstitial velocity than Darcy model. Keywords-solid tumor; porous media; Darcy model; Brinkman model. I.

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Section: Intravascular Blood Flowmentioning

confidence: 99%

“…The effect of vascular induced by tumor angiogenesis on interstitial pressure is also investigated statistically [13], [14]. In the present work, the mathematical model presented in our previous work is further developed to investigate the effect of fluid friction on solid tumor simulation.…”

Section: Introductionmentioning

confidence: 99%

Interstitial flow in cancerous tissue: Effect of fluid friction

Sefidgar

Bazmara

Mousavi

et al. 2014

2014 21th Iranian Conference on Biomedical Engineering (ICBME)

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“…In the present work, by adding the solute transport equation to the previous developed model in our group [16-20], new governing equations are investigated to find drug concentration in interstitial fluid (DCIF). Solving fluid flow and solute transport equations simultaneously, the effects of tumor shape, size, and tissue transport properties on drug delivery to solid tumor are also investigated.…”

Section: Introductionmentioning

confidence: 99%

“…In our previous work [ 2 ], tumor shape and size effect on drug delivery is investigated by modeling interstitial fluid flow and assuming that drug particles flow with the interstitial fluid. In the present work, by adding the solute transport equation to the previous developed model in our group [ 16 - 20 ], new governing equations are investigated to find drug concentration in interstitial fluid (DCIF). Solving fluid flow and solute transport equations simultaneously, the effects of tumor shape, size, and tissue transport properties on drug delivery to solid tumor are also investigated.…”

Section: Introductionmentioning

confidence: 99%

Effect of tumor shape, size, and tissue transport properties on drug delivery to solid tumors

et al. 2014

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BackgroundThe computational methods provide condition for investigation related to the process of drug delivery, such as convection and diffusion of drug in extracellular matrices, drug extravasation from microvessels or to lymphatic vessels. The information of this process clarifies the mechanisms of drug delivery from the injection site to absorption by a solid tumor. In this study, an advanced numerical method is used to solve fluid flow and solute transport equations simultaneously to investigate the effect of tumor shape and size on drug delivery to solid tumor.MethodsThe advanced mathematical model used in our previous work is further developed by adding solute transport equation to the governing equations. After applying appropriate boundary and initial conditions on tumor and surrounding tissue geometry, the element-based finite volume method is used for solving governing equations of drug delivery in solid tumor. Also, the effects of size and shape of tumor and some of tissue transport parameters such as effective pressure and hydraulic conductivity on interstitial fluid flow and drug delivery are investigated.ResultsSensitivity analysis shows that drug delivery in prolate shape is significantly better than other tumor shapes. Considering size effect, increasing tumor size decreases drug concentration in interstitial fluid. This study shows that dependency of drug concentration in interstitial fluid to osmotic and intravascular pressure is negligible.ConclusionsThis study shows that among diffusion and convection mechanisms of drug transport, diffusion is dominant in most different tumor shapes and sizes. In tumors in which the convection has considerable effect, the drug concentration is larger than that of other tumors at the same time post injection.

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“…In the previous works of our group [ 13 , 14 ], a mathematical model was developed that simultaneously couples interstitial fluid flow with convective noncontinuous blood flow through vessels by considering a remodeling network based on hemodynamic and metabolic stimuli. The effect of vasculature induced by tumor angiogenesis on interstitial pressure is also investigated statistically [ 15 , 16 ]. In the present work, the mathematical model presented in our previous work is further developed to investigate the effect of fluid friction on solid tumor simulation.…”

Section: Introductionmentioning

confidence: 99%

Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network

Sefidgar¹,

Soltani

Raahemifar

et al. 2015

Computational and Mathematical Methods in Medicine

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A solid tumor is investigated as porous media for fluid flow simulation. Most of the studies use Darcy model for porous media. In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented. In this study, the effect of these assumptions is studied by considering Brinkman model. A multiscale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects the solid tumor simulation. The mathematical method involves processes such as blood flow through vessels and solute and fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. The sprouting angiogenesis model is used for generating capillary network and then fluid flow governing equations are implemented to calculate blood flow through the tumor-induced capillary network. Finally, the two models of porous media are used for modeling fluid flow in normal and tumor tissues in three different shapes of tumors. Simulations of interstitial fluid transport in a solid tumor demonstrate that the simplifications used in Darcy model affect the interstitial velocity and Brinkman model predicts a lower value for interstitial velocity than the values that Darcy model predicts.

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Effect of remodeled tumor-induced capillary network on interstitial flow in cancerous tissue

Cited by 9 publications

References 17 publications

Interstitial flow in cancerous tissue: Effect of fluid friction

Interstitial flow in cancerous tissue: Effect of fluid friction

Effect of tumor shape, size, and tissue transport properties on drug delivery to solid tumors

Effect of Fluid Friction on Interstitial Fluid Flow Coupled with Blood Flow through Solid Tumor Microvascular Network

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