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. 2019 Oct 2;9:14225. doi: 10.1038/s41598-019-50654-7

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© The Author(s) 2019

Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Effects induced by varying BBB efficiency B on the equilibrium curves and bifurcations with respect to lead intake c. Equilibirum curves with respect to calcium intake c are shown, for two values of BBB efficiency: lower efficiency $B = 0.7$ (blue curve) and higher efficiency $B = 0.9$ (red curve). The other system parameters are fixed to: $k = 0.05$ , $z = 1$ , $s = 1$ , $p = 0.5$ , $θ = 6$ , $τ = 4$ , $a = b = 0.6$ .