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. Author manuscript; available in PMC: 2021 Feb 1.
Published in final edited form as: Am J Kidney Dis. 2019 Oct 23;75(2):235–244. doi: 10.1053/j.ajkd.2019.07.022

Figure 4. Rates of change and acceleration in mineral metabolites prior to ESRD transition.

Figure 4.

First and second derivatives of A) FGF-23; B) PTH; C) phosphate; and D) calcium estimated by cubic spline approach. First derivative denotes rate of change and second derivative represents acceleration. Values are shown as estimated rate of change (blue) and acceleration (red), and shaded areas represent 95% confidence intervals.