A poroelasticity model for interstitial fluid flow and matrix deformation in a non-homogeneous solid tumor

2021 ◽  
pp. 108128652110079
Author(s):  
Z.-H. Jin
Keyword(s):  
Boundary Layers ◽  
Solid Tumor ◽  
Interstitial Fluid ◽  
Inner Core ◽  
Perturbation Technique ◽  
Fluid Pressure ◽  
Radial Strain ◽  
Outer Shell ◽  
Singular Perturbation Technique ◽  
Matrix Deformation

This paper describes a small-strain poroelasticity model to examine the interstitial fluid pressure and matrix deformation in a non-homogeneous solid tumor consisting of an inner core with a reduced specific microvascular area encapsulated in an outer tissue shell with a regular specific microvascular area. A singular perturbation technique is employed to capture the transitional behavior at the interface between the inner core and outer shell under a cyclic microvascular pressure. The perturbation solution reveals the existence of two boundary layers: one at the interface between the inner core and outer shell, and the other at the tumor surface. The amplitude of the tumor interstitial fluid (TIF) pressure is at a lower constant level in the inner core and increases rapidly in the boundary layer at the interface between the inner core and outer shell to the pressure value of the corresponding homogeneous tumor with the outer shell properties. The radial strain undergoes dramatic changes in the boundary layers, and reaches the peak near the interface between the inner core and outer shell. The behavior of the effective stresses remains similar to that of the TIF pressure.

Control of interstitial fluid pressure: Role of [beta ]-integrins

2001 ◽  
Vol 21 (3) ◽  
pp. 222-230 ◽  
Author(s):  
Rolf K. Reed ◽  
Ansgar Berg ◽  
Eli-Anne B. Gjerde ◽  
Kristofer Rubin
Keyword(s):  
Interstitial Fluid ◽  
Fluid Pressure ◽  
Interstitial Fluid Pressure

scholarly journals Simple, green, ultrasound-assisted preparation of novel core–shell microcapsules from octyl methoxycinnamate and oligomeric proanthocyanidins for UV-stable sunscreen

RSC Advances ◽  
2021 ◽  
Vol 11 (11) ◽  
pp. 6374-6382
Author(s):  
Jie Song ◽  
Siqi Chen ◽  
Xu Zhao ◽  
Junbo Cheng ◽  
Yanli Ma ◽  
...  
Keyword(s):  
Inner Core ◽  
Outer Shell ◽  
Core Shell ◽  
Uv Resistance ◽  
Oligomeric Proanthocyanidins ◽  
Ultraviolet Absorbers ◽  
Ultrasound Assisted

With oligomeric proanthocyanidins (OPCs) as the outer shell and ultraviolet absorbers (OMC) as the inner core, OMC/OPCs composite microcapsules were prepared and characterized, and their UV resistance was studied.

scholarly journals Laminar condensation on a moving drop. Part 1. Singular perturbation technique

1984 ◽  
Vol 139 ◽  
pp. 105-130 ◽  
Author(s):  
J. N. Chung ◽  
P. S. Ayyaswamy ◽  
S. S. Sadhal
Keyword(s):  
Singular Perturbation ◽  
Perturbation Technique ◽  
Continuous Phase ◽  
Transport Processes ◽  
Forced Flow ◽  
Saturated Steam ◽  
Singular Perturbation Technique ◽  
Spherical Drop ◽  
Coupled Equations ◽  
Induced Velocity

In this paper, laminar condensation on a spherical drop in a forced flow is investigated. The drop experiences a strong, radial, condensation-induced velocity while undergoing slow translation. In view of the high condensation velocity, the flow field, although the drop experiences slow translation, is not in the Stokes-flow regime. The drop environment is assumed to consist of a mixture of saturated steam (condensable) and air (non-condensable). The study has been carried out in two different ways. In Part 1 the continuous phase is treated as quasi-steady and the governing equations for this phase are solved through a singular perturbation technique. The transient heat-up of the drop interior is solved by the series-truncation numerical method. The solution for the total problem is obtained by matching the results for the continuous and dispersed phases. In Part 2 both the phases are treated as fully transient and the entire set of coupled equations are solved by numerical means. Validity of the quasi-steady assumption of Part 1 is discussed. Effects due to the presence of the non-condensable component and of the drop surface temperature on transport processes are discussed in both parts. A significant contribution of the present study is the inclusion of the roles played by both the viscous and the inertial effects in the problem treatment.

Dynamics of Interstitial Fluid Pressure in Extracellular Matrix Hydrogels in Microfluidic Devices

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
Joe Tien ◽  
Le Li ◽  
Ozgur Ozsun ◽  
Kamil L. Ekinci
Keyword(s):  
Extracellular Matrix ◽  
Pressure Distribution ◽  
Interstitial Fluid ◽  
Scaling Laws ◽  
Fluid Pressure ◽  
Interstitial Fluid Pressure ◽  
External Loading ◽  
Interstitial Pressure ◽  
Time Resolved ◽  
Long Time

In order to understand how interstitial fluid pressure and flow affect cell behavior, many studies use microfluidic approaches to apply externally controlled pressures to the boundary of a cell-containing gel. It is generally assumed that the resulting interstitial pressure distribution quickly reaches a steady-state, but this assumption has not been rigorously tested. Here, we demonstrate experimentally and computationally that the interstitial fluid pressure within an extracellular matrix gel in a microfluidic device can, in some cases, react with a long time delay to external loading. Remarkably, the source of this delay is the slight (∼100 nm in the cases examined here) distension of the walls of the device under pressure. Finite-element models show that the dynamics of interstitial pressure can be described as an instantaneous jump, followed by axial and transverse diffusion, until the steady pressure distribution is reached. The dynamics follow scaling laws that enable estimation of a gel's poroelastic constants from time-resolved measurements of interstitial fluid pressure.

scholarly journals Functional Nanoparticles for Tumor Penetration of Therapeutics

Pharmaceutics ◽  
2018 ◽  
Vol 10 (4) ◽  
pp. 193 ◽  
Author(s):  
Yu-Lin Su ◽  
Shang-Hsiu Hu
Keyword(s):  
Therapeutic Efficacy ◽  
Tumor Heterogeneity ◽  
Interstitial Fluid ◽  
Fluid Pressure ◽  
Drug Particle ◽  
Tumor Penetration ◽  
Functional Nanoparticles ◽  
Particle Penetration ◽  
Enhanced Permeability And Retention ◽  
Theranostic Nanoparticles

Theranostic nanoparticles recently received great interest for uniting unique functions to amplify therapeutic efficacy and reduce side effects. Despite the enhanced permeability and retention (EPR) effect, which amplifies the accumulation of nanoparticles at the site of a tumor, tumor heterogeneity caused by the dense extracellular matrix of growing cancer cells and the interstitial fluid pressure from abnormal angiogenesis in the tumor inhibit drug/particle penetration, leading to inhomogeneous and limited treatments. Therefore, nanoparticles for penetrated delivery should be designed with different strategies to enhance efficacy. Many strategies were developed to overcome the obstacles in cancer therapy, and they can be divided into three main parts: size changeability, ligand functionalization, and modulation of the tumor microenvironment. This review summarizes the results of ameliorated tumor penetration approaches and amplified therapeutic efficacy in nanomedicines. As the references reveal, further study needs to be conducted with comprehensive strategies with broad applicability and potential translational development.

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