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. Author manuscript; available in PMC: 2018 Jan 21.
Published in final edited form as: Phys Med Biol. 2016 Dec 20;62(2):394–414. doi: 10.1088/1361-6560/62/2/394

Table 1.

Symbols and units

Symbol Description Typical Units
Cp,T Blood plasma concentration of targeted agent nmol.(L of plasma)−1
Cf,T Free concentration of targeted agent nmol.(L of tissue)−1
Cb,T Bound concentration of targeted agent nmol.(L of tissue)−1
K1,T Rate constant for targeted agent transfer from blood
plasma to free tissue compartment (extravasation)
(L of plasma).(L of
tissue)−1.min−1
k2,T Rate constant for targeted agent transfer from free tissue
compartment to blood plasma (efflux)
min−1
k3,T Rate constant for targeted agent binding to targeted
receptor (binding)
min−1
k4,T Rate constant for targeted agent release from targeted
receptor (dissociation)
min−1
Cp,C Blood plasma concentration of control agent nmol.(L of plasma)−1
Cf,C Free concentration of control agent nmol.(L of tissue)−1
Cwb,T Whole blood concentration of targeted agent nmol.(L of tissue)−1
Cwb,C Whole blood concentration of control agent nmol.(L of tissue)−1
Ctissue,T Tissue concentration of targeted agent nmol.(L of tissue)−1
Ctissue,C Tissue concentration of control agent nmol.(L of tissue)−1
K1,C Rate constant for control agent transfer from arterial
plasma to free tissue compartment (extravasation)
(L of plasma).(L of
tissue)−1.min−1
k2,C Rate constant for control agent transfer from free tissue
compartment to blood plasma (efflux)
min−1
ηT Correction factor relating detected targeted agent signal
to targeted agent concentration
Signal units.(L of
tissue).nmol−1
ηC Correction factor relating detected control agent signal
to control agent concentration
Signal units.(L of
tissue).nmol−1
ROIT Detected targeted agent signal measured in a region of
interest
Signal units
ROIC Detected control agent signal measured in a region of
interest
Signal units
R1 Ratio of K1,T/K1,C unitless
kD = koff/kon In vitro dissociation constant nmol.(L of diffusible
“free” space)−1
kon In vitro association rate constant (L of free space).min
−1.nmol−1
koff In vitro dissociation rate constant (assumed to be
equivalent to in vivo k4) (Innis et al., 2007)
min−1
KD = vfkD In vivo dissociation constant nmol.(L of tissue)−1
Kon = vfkon In vivo association rate constant (L of tissue).min−1.nmol−1
vf Diffusible free space volume fraction (L of free space).(L of
tissue)−1
Vwb Whole blood volume unitless
Bavail Maximum concentration of receptors that could be
bound by the targeted imaging agent prior to agent
injection
nmol.(L of tissue)−1
BP*= Bavail/(KD) Binding potential unitless
*

BP is displayed as BPND (Nondisplaceable binding potential) in some other references (Innis et al., 2007)