Numerical simulation of the tumor interstitial fluid transport: Consideration of drug delivery mechanism

Moghadam, Mohammad Charjouei; Deyranlou, Amin; Sharifi, Amirsina; Niazmand, Hamid

doi:10.1016/j.mvr.2015.06.007

Cited by 36 publications

(14 citation statements)

References 28 publications

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“…The continuity equation for incompressible flow in the interstitial tissue, including blood perfusion and lymphatic drainage as source terms, reads, 12,[25][26][27]…”

Section: Fluid Flowmentioning

confidence: 99%

Transport and Lymphatic Uptake of Biotherapeutics Through Subcutaneous Injection

Han

Rahimi

Aramideh

et al. 2022

Journal of Pharmaceutical Sciences

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“…The continuity equation for incompressible flow in the interstitial tissue, including blood perfusion and lymphatic drainage as source terms, reads, 12,[25][26][27]…”

Section: Fluid Flowmentioning

confidence: 99%

Transport and Lymphatic Uptake of Biotherapeutics Through Subcutaneous Injection

Han

Rahimi

Aramideh

et al. 2022

Journal of Pharmaceutical Sciences

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“…where L P is the hydraulic conductivity of the capillary wall, S/V is the surface area per unit volume of bio-tissue for transport in the interstitium, P b is the blood pressure in the capillary, σ s is the average osmotic reflection coefficient, π b is the plasma protein oncotic pressure, and π i is the osmotic pressure of the interstitial fluid. The drainage term φ L is related to the differential pressure between interstitial tissue and lymphatic vessels, which is distributed homogeneously in normal tissue, and it is given as follows: [31] φ…”

Section: Mass Transfer Model After Injectionmentioning

confidence: 99%

“…Material properties used for modeling transport of MNPs in interstitium. [30,31] Parameter Tumor Healthy tissue In the process of optimization, the SA algorithm is used to optimize the injection behavior by considering a relatively arbitrary initial value for the proposed geometric model according to its metropolis sample rule. [35] The optimization parameters in this work are y 0 , Q MNP , and R 1 , which need to be assigned a set of initial values prior to this optimization.…”

Section: Model Propertiesmentioning

confidence: 99%

Thermal apoptosis analysis considering injection behavior optimization and mass diffusion during magnetic hyperthermia

Tang¹,

Zou²,

Flesch³

et al. 2022

Chinese Phys. B

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Thermally induced apoptosis for tumors depends mainly on the intrinsic characteristics of biological tissues as well as treatment temperature profile during magnetic hyperthermia. Further, treatment temperature distribution inside tumor depends on the injection behavior of irregular tumors, such as the injection dose and the injection location of nanofluids. In order to improve the treatment effect, the simulated annealing algorithm is adopted in this work to optimize the nanofluid injection behavior, and the improved Arrhenius model is used to evaluate the malignant ablations for three typical malignant tumor cell models. In addition, both the injection behavior optimization and the mass diffusion of nanofluid are both taken into consideration in order to improve the treatment effect. The simulation results demonstrate that the injection behavior can be optimized effectively by the proposed optimization method before therapy, the result of which can also conduce to improving the thermal apoptosis possibility for proposed typical malignant cells. Furthermore, an effective approach is also employed by considering longer diffusion duration and correct power dissipation at the same time. The results show that a better result can then be obtained than those in other cases when the power dissipation of MNPs is set to be Q MNP = 5.4 × 107 W·m3 and the diffusion time is 16 h.

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“…Poromechanics models have been used to investigate fluid transport and matrix deformation in solid tumors. In most of the studies, the solid tumor has been modeled as a homogeneous porous medium with a uniform vascular distribution that acts as a pressure source for TIF flow in the interstitium [4–10]. Poromechanics models have also been employed to investigate tumor growth and related deformations [2, 11–13].…”

Section: Introductionmentioning

confidence: 99%

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

Jin

2021

Mathematics and Mechanics of Solids

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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.

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Numerical simulation of the tumor interstitial fluid transport: Consideration of drug delivery mechanism

Cited by 36 publications

References 28 publications

Transport and Lymphatic Uptake of Biotherapeutics Through Subcutaneous Injection

Transport and Lymphatic Uptake of Biotherapeutics Through Subcutaneous Injection

Thermal apoptosis analysis considering injection behavior optimization and mass diffusion during magnetic hyperthermia

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

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