Corrigendum to Mathematical Models of Meal Amount and Timing Variability with Implementation in the Type-1 Diabetes Patient Decision Simulator

Camerlingo N, Vettoretti M, Del Favero S, Facchinetti A, Sparacino G. Mathematical Models of Meal Amount and Timing Variability With Implementation in the Type-1 Diabetes Patient Decision Simulator. [published online ahead of print September 17, 2020]. Diabetes Technol Ther. doi: 10.1177/1932296820952123

The bold entries in Table 1 of this article have been corrected, the article has been updated of this correction.

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Table 1.

Candidate PDF Model Equations.

Candidate PDF model	Equation
Gaussian	F ( x ; μ , σ ) = 1 σ 2 π exp ( − 1 2 ( x − μ σ ) 2 )
Lognormal	F ( x ; μ , σ ) = exp ( − ( ln x − μ ) 2 2 σ 2 ) x 2 π σ
Loglogistic	F ( x ; α , β ) = 1 α 1 x exp ( log ( x ) − β α ) ( 1 + exp ( log ( x ) − β α 2 ) )
Gamma	F ( x ; α , λ ) = x α − 1 e − x λ λ α Γ ( α )
GEV	F ( x ; μ , σ , ξ ) = exp { − [ 1 + ξ ( x − μ σ ) ] − 1 ξ } 2
t-Student*	F ( x ; ν ) = Γ ( ν + 1 2 ) ν π Γ ( ν 2 ) ( 1 + x 2 ν ) − ν + 1 2
Exponential	F ( x ; λ ) = λ e − λ x
Inverse Gaussian	F ( x ; μ , λ ) = λ 2 π x 3 exp [ − λ ( x − μ ) 2 2 μ 2 x ]
Logistic	F ( x ; μ , s ) = exp ( − x − μ s ) s ( 1 + exp ( − x − μ s ) ) 2
Uniform	F ( x ; a , b ) = 1 b − a , f o r a ≤ x ≤ b

Abbreviations: GEV, generalized-extreme-value; PDF, probability density function.

*

Γ is the gamma function: Γ ( x ) = ∫ 0 ∞ t x − 1 e − t d t