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Reiber, H., Zeman, D., Kušnierová, P., Mundwiler, E. and Bernasconi, L. (2019) Diagnostic Relevance of Free Light Chains in Cerebrospinal Fluid—The Hyperbolic Reference Range for Reliable Data Interpretation in Quotient Diagrams. Clinica Chimica Acta, 497, 153-162.
https://doi.org/10.1016/j.cca.2019.07.027

has been cited by the following article:

• TITLE: Estimation of the Parameters of the Reiber’s Hyperbolic Function with the Levenberg-Marquardt Algorithm

  AUTHORS: Piotr Lewczuk

  KEYWORDS: Cerebrospinal Fluid, Blood-CSF Barrier, Numerical Optimization, Levenberg-Marquardt Algorithm

  JOURNAL NAME: Open Journal of Statistics, Vol.15 No.5, September 28, 2025

  ABSTRACT: A hyperbolic model for the diffusion of proteins through the blood-cerebrospinal fluid (CSF) barrier revolutionized clinical neurochemistry thirty years ago. The regression curves were informally parametrized based on physiologically-driven constraints. The current paper readdresses this issue with numerical optimization for unconstrained non-linear regression, implementing the Levenberg-Marquardt Algorithm (LMA). Astonishingly similar estimates are obtained, which reconfirms the concepts of H. Reiber proposed in 1990s. The LMA is discussed in the context of other optimization algorithms.