Abstract
Purpose
The bioheat transfer equation predicts temperature distribution in living tissues such as the skin. This study aimed at psychophysically validating this model in humans.
Methods
Three experiments were performed. In the first, participants were asked to judge the thermal intensity of stimuli with combinations of intensity and duration that yielded, according to the model, identical temperatures at the thermoreceptor’s depth. In experiment 2, participants’ thermal detection thresholds for stimuli of different durations were measured to verify whether these thresholds correspond, according to the model, to equivalent temperatures at the thermoreceptor’s location. In experiment 3, an alternative forced choice method was used, in which subjects indicated which of the two consecutive thermal stimulations was more intense.
Results
The model predicted results that agreed with subjects’ perceptions. Participants judged stimuli of different combinations of intensities and durations yielding identical temperature at the receptor level as having equivalent intensity. Moreover, although cold detection thresholds for stimuli of different durations differed for temperatures of the stimulating probe, stimulations using the model’s parameters showed equivalence at the depth of the thermal receptors. Furthermore, stimuli with temperature/duration combinations for which the model predicts temperature equivalence at the depth of the receptors corresponded to subjective equalization.
Conclusion
These findings indicate that heat transfer models provide good estimates of temperatures at the thermal receptors. Use of these models may facilitate comparisons among studies using different stimulation devices and may facilitate the establishment of standards involving all stimulation parameters.
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Abbreviations
- ANOVA:
-
Analysis of variance
- BHTE:
-
Biological heat transfer equation
- ISI:
-
Inter-stimulus interval
- QST:
-
Quantitative sensory testing
- SD:
-
Standard deviation
- SEP:
-
Subjective equalization point
- TCS:
-
Thermal cutaneous stimulator
- Tsk:
-
Skin neutral temperature
- VAS:
-
Visual analog scale
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Acknowledgements
This work was funded by the French National Research Agency (ANR) through the Programme d'Investissement d'Avenir (ANR‐17‐EURE‐0022) and the Strasbourg Pain Initiative Consortium.
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AD and SL conceived and designed research. AD conducted experiments. AD and OD analyzed the data. TP created new software used in the study. AD and SL wrote the first draft of the manuscript. All authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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AD and TP have a pending patent for the thermal stimulator used in this study. The other authors have no conflict of interest to declare.
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Communicated by George Havenith.
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Dufour, A., Després, O., Pebayle, T. et al. Thermal sensitivity in humans at the depth of thermal receptor endings beneath the skin: validation of a heat transfer model of the skin using high-temporal resolution stimuli. Eur J Appl Physiol 120, 1509–1518 (2020). https://doi.org/10.1007/s00421-020-04372-y
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DOI: https://doi.org/10.1007/s00421-020-04372-y