Mathematical modeling of microwave liver ablation with a variable-porosity medium approach

Tucci, Claudio; Trujillo, Macarena; Berjano, Enrique; Iasiello, Marcello; Andreozzi, Assunta; Vanoli, Giuseppe Peter

doi:10.1016/j.cmpb.2021.106569

Cited by 22 publications

(15 citation statements)

References 46 publications

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“…Recently, MWA has been analyzed using a more complex heat transfer model based on the porosity concept that leads to two bioheat equations for tissue and blood temperatures [ 44 ]. The shape of the tumor is supposed to be spherical.…”

Section: Introductionmentioning

confidence: 99%

An Analysis of Microwave Ablation Parameters for Treatment of Liver Tumors from the 3D-IRCADb-01 Database

Radmilović-Radjenović

Bošković

Sabo

et al. 2022

Biomedicines

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Simulation techniques are powerful tools for determining the optimal conditions necessary for microwave ablation to be efficient and safe for treating liver tumors. Owing to the complexity and computational resource consumption, most of the existing numerical models are two-dimensional axisymmetric models that emulate actual three-dimensional cancers and the surrounding tissue, which is often far from reality. Different tumor shapes and sizes require different input powers and ablation times to ensure the preservation of healthy tissues that can be determined only by the full three-dimensional simulations. This study aimed to tailor microwave ablation therapeutic conditions for complete tumor ablation with an adequate safety margin, while avoiding injury to the surrounding healthy tissue. Three-dimensional simulations were performed for a multi-slot microwave antenna immersed in two tumors obtained from the 3D-IRCADb-01 liver tumors database. The temperature dependence of the dielectric and thermal properties of healthy and tumoral liver tissues, blood perfusion, and water content are crucial for calculating the correct ablation time and, thereby, the correct ablation process. The developed three-dimensional simulation model may help practitioners in planning patient-individual procedures by determining the optimal input power and duration of the ablation process for the actual shape of the tumor. With proper input power, necrotic tissue is placed mainly in the tumor, and only a small amount of surrounding tissue is damaged.

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Section: Introductionmentioning

confidence: 99%

An Analysis of Microwave Ablation Parameters for Treatment of Liver Tumors from the 3D-IRCADb-01 Database

Radmilović-Radjenović

Bošković

Sabo

et al. 2022

Biomedicines

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“…Finally, the rate of ablation volume per thermal dose was tabulated and visualized as a function of fatty liver content. To our knowledge, while literature exists on varying parenchymal properties (Prakash, 2010;Faridi et al, 2020;Radjenović et al, 2021;Tucci et al, 2021), this work links clinically related fatty liver disease images to the generation of patient-specific dielectric and thermal properties within the context of an image-tophysical material model and reports the consequent changes in the ablation zone.…”

Section: Introductionmentioning

confidence: 99%

Fat Quantification Imaging and Biophysical Modeling for Patient-Specific Forecasting of Microwave Ablation Therapy

et al. 2022

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Computational tools are beginning to enable patient-specific surgical planning to localize and prescribe thermal dosing for liver cancer ablation therapy. Tissue-specific factors (e.g., tissue perfusion, material properties, disease state, etc.) have been found to affect ablative therapies, but current thermal dosing guidance practices do not account for these differences. Computational modeling of ablation procedures can integrate these sources of patient specificity to guide therapy planning and delivery. This paper establishes an imaging-data-driven framework for patient-specific biophysical modeling to predict ablation extents in livers with varying fat content in the context of microwave ablation (MWA) therapy. Patient anatomic scans were segmented to develop customized three-dimensional computational biophysical models and mDIXON fat-quantification images were acquired and analyzed to establish fat content and determine biophysical properties. Simulated patient-specific microwave ablations of tumor and healthy tissue were performed at four levels of fatty liver disease. Ablation models with greater fat content demonstrated significantly larger treatment volumes compared to livers with less severe disease states. More specifically, the results indicated an eightfold larger difference in necrotic volumes with fatty livers vs. the effects from the presence of more conductive tumor tissue. Additionally, the evolution of necrotic volume formation as a function of the thermal dose was influenced by the presence of a tumor. Fat quantification imaging showed multi-valued spatially heterogeneous distributions of fat deposition, even within their respective disease classifications (e.g., low, mild, moderate, high-fat). Altogether, the results suggest that clinical fatty liver disease levels can affect MWA, and that fat-quantitative imaging data may improve patient specificity for this treatment modality.

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“…Dirichlet boundary conditions are suitable in this context because they allow the temperature at the boundary (skin surface) to be specified and controlled throughout the procedure. By setting a constant temperature at the boundary, doctors can ensure that the freezing process remains within the desired range and does not excessively affect surrounding healthy tissues (Tucci et al , 2022).…”

Section: Materials and Methodologymentioning

confidence: 99%

“…Skin plays an essential role in the exchange of heat with the peripheral environment, and many experimental research studies and numerical simulations have been conducted to clarify the thermal properties and heat distribution in human skin. In a study by (van de Staak et al, 1968), an exponential relationship was found between the thermal conductivity of human skin and blood flow. In a subsequent study, Alekseev and Ziskin (2009) investigated the influence of blood flow and millimeter wave exposure on skin temperature in different thermal models, using a linear relationship between blood flow and thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Developing computational methods of heat flow using bioheat equation enhancing skin thermal modeling efficiency

Ostadhossein,

Hoseinzadeh

2023

HFF

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Purpose The main objective of this paper is to investigate the response of human skin to an intense temperature drop at the surface. In addition, this paper aims to evaluate the efficiency of finite difference and finite volume methods in solving the highly nonlinear form of Pennes’ bioheat equation. Design/methodology/approach One-dimensional linear and nonlinear forms of Pennes’ bioheat equation with uniform grids were used to study the behavior of human skin. The specific heat capacity, thermal conductivity and blood perfusion rate were assumed to be linear functions of temperature. The nonlinear form of the bioheat equation was solved using the Newton linearization method for the finite difference method and the Picard linearization method for the finite volume method. The algorithms were validated by comparing the results from both methods. Findings The study demonstrated the capacity of both finite difference and finite volume methods to solve the one-dimensional and highly nonlinear form of the bioheat equation. The investigation of human skin’s thermal behavior indicated that thermal conductivity and blood perfusion rate are the most effective properties in mitigating a surface temperature drop, while specific heat capacity has a lesser impact and can be considered constant. Originality/value This paper modeled the transient heat distribution within human skin in a one-dimensional manner, using temperate-dependent physical properties. The nonlinear equation was solved with two numerical methods to ensure the validity of the results, despite the complexity of the formulation. The findings of this study can help in understanding the behavior of human skin under extreme temperature conditions, which can be beneficial in various fields, including medical and engineering.

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Mathematical modeling of microwave liver ablation with a variable-porosity medium approach

Cited by 22 publications

References 46 publications

An Analysis of Microwave Ablation Parameters for Treatment of Liver Tumors from the 3D-IRCADb-01 Database

An Analysis of Microwave Ablation Parameters for Treatment of Liver Tumors from the 3D-IRCADb-01 Database

Fat Quantification Imaging and Biophysical Modeling for Patient-Specific Forecasting of Microwave Ablation Therapy

Developing computational methods of heat flow using bioheat equation enhancing skin thermal modeling efficiency

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