Thermal Stresses Induced by Water Solidification in a Cylindrical Tube

Song, Lin; Gao, Dongyue; Yu, Xichen

doi:10.1115/1.2910482

Cited by 17 publications

(4 citation statements)

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“…Studies have been carried out using numerical modelling to explore the underlying mechanisms of the physical phenomena described above (Rubinsky et al 1980;Thom et al 1983;Lin et al 1990;Zabaras et al 1991;Pegg 1996;Rabin & Steif 1996, 1998Kandra & Devireddy 2008;Trelea et al 2009;Zhmakin 2009). It has been demonstrated that mathematical models can be used to correlate thermophysical phenomena and biological outcomes to optimize experimental methods (Bischof 2006;Song et al 2009).…”

Section: Introductionmentioning

confidence: 99%

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

Moon

Zhang

et al. 2010

Phil. Trans. R. Soc. A.

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Cells and tissues undergo complex physical processes during cryopreservation. Understanding the underlying physical phenomena is critical to improve current cryopreservation methods and to develop new techniques. Here, we describe multiscale approaches for modelling cell and tissue cryopreservation including heat transfer at macroscale level, crystallization, cell volume change and mass transport across cell membranes at microscale level. These multi-scale approaches allow us to study cell and tissue cryopreservation.

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Section: Introductionmentioning

confidence: 99%

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

Moon

Zhang

et al. 2010

Phil. Trans. R. Soc. A.

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“…While T g is commonly measured with differential calorimetry techniques (DSC), an alternative definition of glass transition is the temperature at which the viscosity reaches a value of 10 12 Pa-s (10 13 Poise). In the absence of viscosity data on cryoprotectants at low temperatures, the following functional behavior is assumed in the current study [15]: ) (1) where η is the shear viscosity, and the parameters b = 8.607 K and T 0 = 111.1 K are selected to best-fit the available experimental data on 7.05M DMSO at higher temperatures [12], and the glass transition temperature was taken to be −132°C, measured with DSC for 7.05M DMSO [16].…”

Section: Materials Model and Solution Techniquesmentioning

confidence: 99%

“…Most theoretical studies of the development of mechanical stress during cryopreservation have presumed an elastic response in the tissue [1][2][3][4][5]. This assumption could be justified in the case of tissue crystallization, which is not typical in cryopreservation.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Temperature Gradients on Stress Development during Cryopreservation via Vitrification

Steif

Palastro

Rabin

2007

Cell Preservation Technology

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This study addresses the problem of thermal stress development in bulky specimens during cryopreservation via vitrification (vitreous means glassy in Latin). While this study is a part of an ongoing effort to associate the developing mechanical stress with the relevant physical properties of the cryopreserved media and to its the thermal history, the current paper focuses exclusively on the role of temperature gradients. Temperature gradients arise due to the high cooling rates necessary to facilitate vitrification; the resulting non-uniform temperature distribution leads to differential thermal strain, possibly resulting in cracking. The cooling rate is assumed constant on the outer surface in this study, and the material properties are assumed constant. It is demonstrated that under these assumptions, mechanical stress develops only when the temperature distribution in the specimen approaches thermal equilibrium at a cryogenic storage temperature. It is shown that the maximum possible stresses for a given cooling rate can be computed with a simple thermo-elastic analysis; these stresses are associated with cooling to sufficiently low temperatures and are independent of the variation of viscosity with temperature. Analytic estimates for these stresses are obtained for several idealized shapes, while finite element analysis is used to determine stresses for geometries used in cryopreservation practice. Stresses that develop under a wider range of storage temperatures are also studied with finite element analysis, and the results are summarized with suitable normalizations. It is found that no stresses arise if cooling ceases above the set-temperature, which defines the transition from viscous-dominated to elastic-dominated behavior; the set-temperature is determined principally by the dependency of viscosity upon temperature. Strategies for rapidly reaching low temperatures and avoiding high stresses are inferred from the results.

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“…Due to the temperature gradient in the heated exposed areas to laser irradiation, tissue deformation occurs in a realistic situation. For modeling the deformation, a simplified quasistatic model was considered in which an isotropic behavior was assumed for the tissue [42][43][44][45]. The fundamental solid mechanic equations of an axisymmetric geometry can be described mathematically using the equilibrium equations, the stressstrain relationship, and the strain displacement relationship [46] where Tref is the reference temperature and α is the tissue thermal expansion coefficient (1/K).…”

Section: ) Mechanical Deformationmentioning

confidence: 99%

Thermomechanical Modeling of Laser Ablation Therapy of Tumors: Sensitivity Analysis and Optimization of Influential Variables

Mohammadi

Bianchi

Korganbayev

et al. 2022

IEEE Trans. Biomed. Eng.

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In cancer treatment, laser ablation is a promising technique used to induce localized thermal damage. Different variables influence the temperature distribution in the tissue and the resulting therapy efficacy; thus, the optimal therapy settings are required for obtaining the desired clinical outcome. In this work, thermomechanical modeling of contactless laser ablation was implemented to analyze the sensitivity of independent variables on the optimal treatment conditions. The Finite Element Method was utilized to solve the governing equations, i.e., the bioheat, mechanical deformation, and the Navier-Stokes equations. Validation of the model was performed by comparing experimental and simulated temperatures, which indicated high accuracy for estimating temperature. In particular, the results showed that the model can estimate temperature with a good correlation factor (R=0.98) and low Mean Absolute Error (3.9 °C). A sensitivity analysis based on laser irradiation time, power, beam distribution, and the blood vessel depth on temperature distribution and fraction of necrotic tissue was performed. An optimization process was performed based on the most significant variables, i.e., laser irradiation time and power. This resulted in an indication of the optimal therapy settings for achieving maximum procedure efficiency i.e., the required fraction of necrotic tissue within the target volume, constituted by tumor and safety margins around it.

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Thermal Stresses Induced by Water Solidification in a Cylindrical Tube

Cited by 17 publications

References 0 publications

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

Multi-scale heat and mass transfer modelling of cell and tissue cryopreservation

The Effect of Temperature Gradients on Stress Development during Cryopreservation via Vitrification

Thermomechanical Modeling of Laser Ablation Therapy of Tumors: Sensitivity Analysis and Optimization of Influential Variables

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