Philip S Boyd1, Johannes Breitling1, Stephanie Laier2, Karin Mueller-Decker2, Andrey Glinka3, Mark E Ladd1, Peter Bachert1, and Steffen Goerke1
1Division of Medical Physics in Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany, 2Center for Preclinial Research, Core Facility Tumor Models, German Cancer Research Center (DKFZ), Heidelberg, Germany, 3Division of Molecular Embryology, German Cancer Research Center (DKFZ), Heidelberg, Germany
Synopsis
In
this study, we present a method for mapping intracellular pH values based on
amide and guanidyl CEST-MRI which simultaneously compensates for concentration
changes, the semi-solid magnetization transfer, and spillover dilution. Compensation
of the concomitant effects and calculation of reliable pH maps in the range of
pH 6.5-7.5 was verified experimentally in porcine brain lysates. Applicability
in vivo was demonstrated in the lesions of three tumor-bearing mice showing an
average intracellular pH of approximately 7. Consequently, endogenous amide and
guanidyl signal-based mapping of the intracellular pH is now applicable for
tumor imaging which was previously prevented by the concomitant effects.
Introduction
Intracellular
pH is a valuable marker for cancer as it is known to be increased in tumors. In
principle, high-resolution imaging of the intracellular pH is feasible by means
of the endogenous amide and guanidyl CEST signals which originate mainly from
proteins and metabolites within cells.1 To separate the
pH-dependency from concomitant effects, such as concentration changes, several
approaches have already been proposed.2–8 However, state-of-the-art
methods do not allow for simultaneous compensation of concentration changes,
along with superimposing CEST signals, the semi-solid magnetization transfer (ssMT),
and spillover dilution, which can all strongly vary within tumors.9 Therefore,
the aim of this study was to develop a method for mapping of the intracellular
pH based on amide and guanidyl CEST-MRI applicable for tumor imaging in vivo. This
was realized at 9.4 T by a ratiometric approach with two different B12,3
in combination with the inverse metric (i.e. MTRRex)10
and a two-step polynomial Lorentzian-fit11 of the amide and guanidyl
signal.Methods
Acquisition
of CEST data at different B1 allows calculation of a spillover
corrected and concentration-independent ratio which is only dependent on kex
and R2b:2,3$$CEST_{ratio}(pH)=\frac{MTR_{Rex}(B_{1,high})}{MTR_{Rex}(B_{1,low})}=\bigg(\frac{B_{1,high}}{B_{1,low}}\bigg)^2\cdot\frac{(\gamma~B_{1,low})^2+k_{ex}(k_{ex}+R_{2b})}{(\gamma~B_{1,high})^2+k_{ex}(k_{ex}+R_{2b})}\qquad\qquad[Equation~1]$$ with
the dominantly base-catalyzed exchange rate
$$$k_{ex}(pH,T)=k_{b}(T)\cdot10^{pH-pK_{W}(T)}=k_{b}(T)\cdot10^{-pK_{W}(T)}\cdot10^{pH}=k_{c}\cdot10^{pH}$$$ for
a fixed temperature T and the transversal relaxation rate R2b of the
CEST pool. Here,
$$$MTR_{Rex}=\frac{1}{Z_{lab}}-\frac{1}{Z_{ref}}$$$ is
either the relaxation-compensated amide (Δω≈3.6ppm)
or guanidyl signal (Δω≈2.0ppm),
which was extracted from the background (i.e.
Zref) of superimposing CEST signals and ssMT by
a second order polynomial and Lorentzian two-step-fitting
approach similar to Ref. 11. Frequency
offsets in the approximate range of 0 to 1.5 ppm and 5.5 to 10 ppm were found
to be optimal for the fitting of the background for B1 between 0,5
and 1.5 µT (Figure 1, dashed lines). Measurement of the CESTratio
and empirically setting R2b and the exchange rate-determining
constant kc to fixed values (see Results and Discussion) allows
calculation of two separate pH maps (i.e. one for the amide and one for the
guanidyl signal).
In
order to evaluate the proposed method under in vivo-like conditions (i.e.
comparatively small CEST signals and large ssMT) porcine brain lysate12
was investigated at various pH and tissue concentrations (Figure 1,2). In vivo
examinations of DLD xenografted nude mice
were approved by the local regulatory authorities under G284-15.
All
measurements were performed on a 9.4 T small animal MR scanner (Bruker) and
stabilized at 37.0 ± 0.1°C using the internal heating device.
(i) In vitro experiments: Centric-centric reordered 3D-GRE-CEST-MRI (0.5×0.5×2mm³, matrix=64×64×8),
continuous-wave pre-saturation pulse of duration 10s, B1=0.5,0.75,1,1.5,2,2.5µT.
(ii) In vivo experiments: 2D-RARE-CEST-MRI (slice=2mm, 0.75×0.75mm2,
matrix=40×40), continuous-wave pre-saturation pulse of duration 6s with B1
= 0.6,1.0,1.4µT. B0 and B1 maps were calculated using the
WASABI-method13 and used
to correct the acquired data for B0 and B1
inhomogeneities.14 Results and Discussion
Extraction
of the amide and guanidyl signal form the background of concomitant effects by
the two-step polynomial Lorentzian fit model was stable over a broad range of
pH and B1 (Figure 1C-F). The ssMT, which significantly varied over
the concentration series (Figure 1B) was adequately corrected (Figure 2B,D) due
to the intrinsic compensation of spillover effects by the inverse metric
(Equation 1).
Using
Equation 1, calculation of a reliable pH map for the amide and guanidyl signal
was only feasible either in the range of high (7-7.5) or low pH values (6-7),
respectively. This is due to the intrinsically different exchange rate
pH-dependencies of amide and guanidyl protons (i.e. kc) leading to a
measurable signal strength only in the above-mentioned ranges. Therefore, the
two individual pH maps were combined to a final pH map using a weighting based
on the local signal amplitude. The combination of the two pH maps led to a good
correlation over a broad range of pH values, while being independent of tissue
concentration (Figure 2). Deviations were strongest at low pH, due to the
intrinsically small guanidyl signal.
In
this study, the empirically found kc to match the calculated pH from
CEST-MRI to the titrated pH (Figure 2A,C) were 6 and 60 μHz for the amide and
guanidyl signal, respectively. These correspond to a kex of 60 and
600 Hz at pH 7 in good agreement with literature. The empirically found values
for R2b were 66 Hz for both the amide and guanidyl signal.
With the calibrated
pH-CEST technique at hand pH values of 6.97±0.09, 7.00±0.20 and 7.13±0.19 were
found in the DLD tumor xenografted nude mice (n=3, Figure 3). To validate the
obtained pH calibration, in the future, kc will be determined directly
in vivo by correlation of the pH maps calculated from the CESTratio
with 31P-MRSI-pH data.Conclusion
We
presented a method of mapping intracellular pH values in vivo based on amide and
guanidyl CEST-MRI, which simultaneously compensates for the concentration,
superimposing CEST signals, ssMT, and spillover dilution. In porcine brain
lysates, the presented method allowed the calculation of reliable pH maps in
the physiologically relevant range of pH 6.5 to 7.5. Applicability in vivo was
demonstrated in the lesions of three tumor-bearing mice showing an average
intracellular pH of approximately 7. Consequently, endogenous signal-based absolute
pH mapping is now applicable for tumor imaging at 9.4T, enabling pre-clinical
studies on intracellular pH changes in cancer using CEST-MRI.Acknowledgements
We
gratefully thank the German Research Foundation (DFG; GO 2172/1-1) for the
financial support.References
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