Reusable bi-directional 3 ω sensor to measure thermal conductivity of 100-μ m thick biological tissues

Sean D. Lubner, Jeunghwan Choi, Geoff Wehmeyer, Bastian Waag, Vivek Mishra, Harishankar Natesan, John C. Bischof, Chris Dames

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Accurate knowledge of the thermal conductivity (k) of biological tissues is important for cryopreservation, thermal ablation, and cryosurgery. Here, we adapt the 3ω method - widely used for rigid, inorganic solids - as a reusable sensor to measure k of soft biological samples two orders of magnitude thinner than conventional tissue characterization methods. Analytical and numerical studies quantify the error of the commonly used "boundary mismatch approximation" of the bi-directional 3ω geometry, confirm that the generalized slope method is exact in the low-frequency limit, and bound its error for finite frequencies. The bi-directional 3ω measurement device is validated using control experiments to within ±2% (liquid water, standard deviation) and ±5% (ice). Measurements of mouse liver cover a temperature ranging from -69°C to +33°C. The liver results are independent of sample thicknesses from 3 mm down to 100 μm and agree with available literature for non-mouse liver to within the measurement scatter.

Original languageEnglish (US)
Article number014905
JournalReview of Scientific Instruments
Volume86
Issue number1
DOIs
StatePublished - Jan 1 2015

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