2015
DOI: 10.1016/j.ijheatmasstransfer.2015.05.117
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Modeling of repeating freezing of biological tissues and analysis of possible microwave monitoring of local regions of thawing

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Cited by 31 publications
(13 citation statements)
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“…For example, various forms of intracellular ice produced by fast and slow freezing significantly affect the properties of this moisture-containing material. To increase the modeling accuracy, it is necessary to use the most accurate data on the thermal properties of biological tissues in a wide temperature range and on the features of phase transitions [13]. It is recommended to use experimentally obtained temperaturedependent thermal properties adapted to simulate a specific cryoexposure [14,15].…”
Section: Thermal Propertiesmentioning
confidence: 99%
“…For example, various forms of intracellular ice produced by fast and slow freezing significantly affect the properties of this moisture-containing material. To increase the modeling accuracy, it is necessary to use the most accurate data on the thermal properties of biological tissues in a wide temperature range and on the features of phase transitions [13]. It is recommended to use experimentally obtained temperaturedependent thermal properties adapted to simulate a specific cryoexposure [14,15].…”
Section: Thermal Propertiesmentioning
confidence: 99%
“…The internal heat source resulting from the phase change is proportional to the local and temporary melting/solidification rate, in particular [45,46] Qphfalse(r,z,tfalse)=LfSfalse(r,z,tfalse)t=LfLfalse(r,z,tfalse)t, where L is a volumetric latent heat, f S is a volumetric solid-state fraction in the neighborhood of the point considered, f L = 1 − f S . The function f L is a temperature dependent and for the border temperatures limiting the mushy zone sub-domain takes the values f L ( T 1 ) = 0 and f L ( T 2 ) = 1 ( T 1 and T 2 correspond to the beginning and the end of the melting process).…”
Section: One-domain Approachmentioning
confidence: 99%
“…Very often the course of the function f S between the border temperatures is assumed in the linear form, e.g., [46] fLfalse(r,z,tfalse)=Tfalse(r,z,tfalse)T1T2T1. One can see that this function fulfils the conditions f L ( T 1 ) = 0 and f L ( T 2 ) = 1. The first derivative of this function is equal to 1/( T 2 − T 1 ), while the second derivative is equal to 0 and the source function (11) takes a form leftQph(r,z,t)+sans-serifτqQph(r,z,t)t=LdfL(T)dT[T(r,z,t)t+sans-serifτq2T(r,z,t)t2]=LT2T1[T(r,z,t)t+sans-serifτq…”
Section: One-domain Approachmentioning
confidence: 99%
“…Multiple freezing-defrosting is used (at least a double cycle). The approach is found to be more effective than a single procedure [47][48][49]. And lower temperatures can be achieved in a cooled biotissue than when it is first frozen.…”
Section: Medicalmentioning
confidence: 99%