Deconvolution of isotope signals from bundles of multiple hairs
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Segmental analysis of hair has been used in diverse fields ranging from forensics to ecology to measure the concentration of substances such as drugs and isotopes. Multiple hairs are typically combined into a bundle for segmental analysis to obtain a high-resolution series of measurements. Individual hair strands cycle through multiple phases of growth and grow at different rates when in the growth phase. Variation in growth of hair strands in a bundle can cause misalignment of substance concentration between hairs, attenuating the primary body signal. We developed a mathematical model based on the known physiology of hair growth to describe the signal averaging caused by bundling multiple hairs for segmental analysis. The model was used to form an inverse method to estimate the primary body signal from measurements of a hair bundle. The inverse method was applied to a previously described stable oxygen isotope chronology from the hair of a murder victim and provides a refined interpretation of the data. Aspects of the reconstruction were confirmed when the victim was later identified.
KeywordsStable isotope Mathematical model Inverse methods
CHR conducted this work as a University of Utah Research Training Group Fellow through NSF award #EMSW21-RTG and as a Postdoctoral Fellow at the National Institute for Mathematical and Biological Synthesis, an Institute sponsored by the National Science Foundation, the US Department of Homeland Security, and the US Department of Agriculture through NSF Award #EF-0832858, with additional support from The University of Tennessee, Knoxville.
- Ayliffe LK, Cerling TE, Robinson T, West AG, Sponheimer M, Passey BH, Hammer J, Roeder B, Dearing MD, Ehleringer JR (2004) Turnover of carbon isotopes in tail hair and breath CO2 of horses fed an isotopically varied diet. Oecologia 139:11–22Google Scholar
- Bowen GJ, Ehleringer JR, Chesson LA, Stange E, Cerling TE (2007) Stable isotope ratios of tap water in the contiguous United States. Water Resour Res 43:1–12Google Scholar
- Ehleringer JR, Thompson AH, Podlesak DW, Bowen GJ, Chesson LA, Cerling TE, Park T, Dostie P, Schwarcz H (2010) A framework for the incorporation of isotopes and isoscapes in geospatial forensic investigations. In: West JB et al. (eds) Isoscapes: understanding movement, pattern, and process on earth through isotope mapping, chapter 17. Springer, p 357–387. doi: 10.1007/978-90-481-3354-3_17
- Vogel CR (2002) Computational methods for inverse problems. Society for Industrial and Applied Mathematics, University City Science Center, Philadelphia. ISBN-10: 0898715075Google Scholar