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Table 1 Variables and functions and descriptions

From: Drug characteristics derived from kinetic modeling: combined 11C-UCB-J human PET imaging with levetiracetam and brivaracetam occupancy of SV2A

Variables and functions

Description

\(B_{{{\text{free}}}} \left( t \right)\)

Free SV2A concentration in tissue (nmol/L)

\(B_{{{\text{max}}}}\)

Total SV2A concentration in tissue (nmol/L)

\(C_{{{\text{ND}}}} \left( t \right)\)

Radioactivity concentration of non-displaceable tracer in tissue (Bq/cm3)

\(C_{{\text{P}}} \left( t \right)\)

Radioactivity concentration of unmetabolized tracer in plasma (Bq/mL)

\(C_{{\text{S}}} \left( t \right)\)

Radioactivity concentration of specifically bound tracer in tissue (Bq/cm3)

\(D_{{{\text{ND}}}} \left( t \right)\)

Concentration of non-displaceable AED in tissue (nmol/L)

\(D_{{\text{P}}} \left( t \right)\)

Concentration of unmetabolized AED in plasma (nmol/L)

\(D_{{\text{S}}} \left( t \right)\)

Concentration of specifically bound AED in tissue (nmol/L)

\(f_{{{\text{ND}}}}\)

Free fraction of tracer in non-displaceable compartment

\(f_{{{\text{ND}}}}^{{\text{D}}}\)

Free fraction of AED in non-displaceable compartment

\(f_{{\text{P}}}\)

Free fraction of tracer in plasma

\(f_{{\text{P}}}^{{\text{D}}}\)

Free fraction of AED in plasma

\(K_{1}\)

Rate constant of tracer for transfer from plasma to tissue (mL plasma/min/cm3 tissue)

\(K_{1}^{{\text{D}}}\)

Rate constant of AED for transfer from plasma to tissue (mL plasma/min/cm3 tissue)

\(k_{2}\)

Rate constant of tracer for transfer from tissue to plasma (1/min)

\(k_{2}^{{\text{D}}}\)

Rate constant of AED for transfer from tissue to plasma (1/min)

\(K_{{\text{D}}}\)

Dissociation constant of tracer in tissue (nmol/L)

\(K_{{\text{D}}}^{{\text{D}}}\)

Dissociation constant of AED in tissue (nmol/L)

\(k_{{{\text{off}}}}\)

Dissociation rate of tracer from SV2A binding sites (1/min)

\(k_{{{\text{off}}}}^{{\text{D}}}\)

Dissociation rate of AED from SV2A binding sites (1/min)

\(k_{{{\text{on}}}}\)

Bimolecular association rate constant for tracer (1/nmol/L/min)

\(k_{{{\text{on}}}}^{{\text{D}}}\)

Bimolecular association rate constant for AED (1/nmol/L/min)

M

Molar activity (MBq/µmol)

\(O\left( t \right)\)

Target occupancy (%)