Summary of Mathematical Models
Model name* | Model acronym | Mathematical expression | Parameter |
Monoexponential | ME | g(t) exp[–t/τ1] | τ1 |
Monoexponential with added constant | MEC | g(t) (w1 exp[–t/τ2] + 1 – w1) | w1, τ2 |
Biexponential | BE | g(t) (w2 exp[–t/τ3] + (1 – w2) exp[–t/τ4]) | w2, τ3, τ4 |
Stretched exponential | SE | g(t) exp[–(t/τ5)γ1] | τ5, γ1 |
Modified stretched exponential | MSE | g(t) exp[1 – (1 + t/τ6)γ2] | τ6, γ2 |
Simplified stretched exponential | SSE | g(t) exp[–(t/τ7)1/2] | τ7 |
Simplified modified stretched exponential | SMSE | g(t) exp[1 – (1 + t/τ8)1/2] | τ8 |
↵* These models were used to analyze antimelanin 188Re-labeled antibody pharmacokinetics in each organ/tissue. Physical decay of 188Re is represented by function g(t) = exp[ –(ln(2)/τ0)t], where τ0 is half-life. All model parameters labeled τ have units of minutes, and all parameters labeled w or γ are unitless.