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. 2021 Jan 15;11:1632. doi: 10.1038/s41598-020-80394-y

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© The Author(s) 2021

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Figure depicting the subject level representations $x_{f}$ for two HC (left column, blue) and two PD patients (right column, red). The vertical lines at the bottom of each figure denote the elements of $x$ (all PtM durations from every meal of the participant) that where used to estimate the PDF in each case. Finally, the calculated bandwidths ${\hat{h}}_{x}$ for the HC are 0.064 (top) and 0.120 (bottom), while for the PD patients are 0.092 (top) and 0.095 (bottom).