Our long-term interest in developing MR methods to monitor tissue metabolism
in vivo has led us to think about the design of contrast agents that respond to important metabolic indices such as tissue pH, tissue redox, hypoxia and metabolite levels. How do the requirements differ for these applications in comparison to those described above for antigen-targeted Gd
3+-based
T1 agents? First, biological indices such as pH, redox, and pO
2 are a bulk property of tissue so the requirement of high relaxivity is not as important here. More important is the
change in relaxivity (Δ
r1) that occurs in response to the metabolic parameter one wishes to monitor by MRI. For example, pH is an important index of metabolism in tissues because excess acid is a hallmark of abnormal metabolism in ischemic tissues, in certain secretory cells, and is certainly important in tumor growth and metastases. Numerous basic publications have reported different designs for pH sensitive Gd
3+-based
T1 agents
15 but only a few of these have been applied
in vivo. Thus, we will limit our discussions here to those few examples.
The
T1 relaxivity of a Gd
3+ complex is primarily determined by three factors:
q, the number of water molecules in the inner coordination sphere of Gd
3+, τ
M, the residence lifetime of these inner-sphere water molecules (how fast they are exchanging with other bulk water molecules) and τ
R, the rotational correlation time of the agent (how fast the complex tumbles in solution). To prepare a Gd
3+-based pH sensor then, one only requires a chemical system wherein one or more of these variables (
q, τ
M or τ
R) changes with pH. Examples of all three types can be found in the literature.
16–18 However, the only design that has ever been applied in tissues (perfused tissues or organs or
in vivo) is GdDOTA-4AmP
5− (see structure in ), an agent that responds to pH by changes in proton exchange rate (variable τ
M). This agent is unusual because the single inner-sphere water molecule is actually exchanging quite slowly in this complex (τ
M = 26 µs) compared to typical clinical Gd
3+ agents (where τ
M is typically ≈ 100 – 200 ns). However, this complex has four appended phosphonate groups that have pK
a’s in the range 6.5 to 8 and as these phosphonate groups become protonated below pH ≈ 8, the mono-protonated phosphonate groups hydrogen bond with the single Gd
3+-bound water molecule and catalytically exchange the highly relaxed bound water protons with protons of bulk water.
19 This has the same effect as an increase in water exchange rate at lower pH values even though the actual rate of water molecule exchange is not affected by changes in pH in this comples. Although this represents a rather unusual mechanism for Gd
3+-based pH sensor, it should not be surprising that this acid-base catalytic system works so well
in vivo because acid-base catalysis is a hallmark of many common enzymatic mechanisms in biochemistry.
A major obstacle in applying such systems to image tissue pH is the unknown concentration of the agent in tissue. The measured
T1 contrast of course depends upon two factors, the tissue concentration and the
r1 relaxivity (the pH dependent parameter). Given that one cannot assume the agent concentration is uniform throughout all tissues and furthermore may be changing with time, any measure of absolute pH requires a correction for any gradient in agent concentration at the moment the image is collected. Aime,
et al.,
20 have pointed out that the ratio,
R2p/
R1p, of water protons becomes independent of Gd
3+ concentration for a motionally restricted agent (τ
R > 1 ns) but remains dependent on τ
M, τ
R and other magnetic parameters that normally affect relaxation in these complexes. They validated the method by demonstrating that the
R1p of aqueous samples containing (GdDOTA)
33-poly-L-ornithine was sensitive to pH due to a conversion of the poly-L-ornithine from a random structure at high pH values to a more ordered helical structure at lower pH values while
R2p remains independent of pH. Thus, the
R2p/
R1p ratio is independent of agent concentration (at least at concentrations high enough to affect these parameters) but is also sensitive to pH, the parameter of interest. While this method is intriguing, the sensitivity of
R2p/
R1p to change in pH is relatively small and this may make it difficult to apply
in vivo.
We have taken a somewhat different approach to image tissue pH by using two Gd
3+-based agents with similar chemical characteristics (size and charge), one having a
T1 relaxivity that is independent of pH and one having a pH dependent relaxivity. The chemical structures of two such compounds are shown in . The
r1 relaxivity of GdDOTP
5− is insensitive to changes in pH over a wide range while the
r1 relaxivity of GdDOTA-4AmP
5− changes a modest amount, from 3.5 mM
−1s
−1 at pH 9.5 to 5.3 mM
−1s
−1 at pH 6.3 (see and ).
T1-weighted dynamic contrast enhanced (DCE) images collected after a bolus injection of one agent followed by images collected after a bolus injection of the second agent provided the data needed to map tissue pH. By making an assumption that the two compounds have identical pharmacokinetics and tissue biodistributions, the image intensity differences at the maximum in the DCE curves may be used to estimate tissue pH. This “dual injection method” has been used to map extracellular tissue pH (pH
e) mouse kidney
21,22 and in a rat brain glioma ().
23 In the glioma model, an intriguing insight provided by the dual injection method includes observation of an inverse relationship between the time-to-maximal intensity (TMI) and pH
e (). This indicates that observation of a larger TMI, indicative of slower perfusion in that tumor, was correlated with lower pH
e values.
Although this method works quite well
in vivo, there are some drawbacks to the successive injections of two different agents. During the course of the injections, prolonged exposure to anesthesia may alter the blood pressure, which can result in significant differences in the TMI in the two injections.
23 In addition, there is a temporal price to pay for two injections. It is necessary to wait until most of the contrast agent has exited the tumor before administering the second injection. These considerations make a case for the development of single injection method, which would enhance the clinical utility of a pH
e sensitive contrast agent.
In many cases, it may not be necessary to measure absolute tissue pH to obtain diagnostically useful information. For example, if the goal is to detect abnormal pH regions of tissues, one might be able to expose the tissue to a pH sensor at a low enough concentration so that significant contrast effects are detected only if tissue pH is abnormally low (assuming the relaxivity increases at lower pH values as with GdDOTA-4AmP5−). Some disease processes such as malignancies may produce local increases in both extracellular volume and [H+] perhaps improving the threshold for early detection of a cancer or metastasis with water soluble, low molecular weight agents. To illustrate the simplicity of the method, we exposed two different perfused tissue preparations, ischemic rat hearts and pancreatic islets, to GdDOTA-4AmP5− and collected T1-weighted images (). Normoxic hearts perfused with 100 µM agent showed little to no contrast changes after addition of the agent while ischemic hearts showed regions of brightness which we attribute to regions of lower pH in ischemic regions generated during the hypoxic period. Similarly, rat islets embedded in agarose beads and perfused with 50 µM GdDOTA-4AmP5− showed little T1 enhancement until the islets were exposed to high concentrations of glucose to promote glucose stimulated insulin secretion (GSIS). Export of insulin from islets is known to be accompanied by release of protons and Zn2+ ions from insulin granules. This local increase in proton concentration was easily detected as a change in T1 after exposure of islets to glucose (). This relatively simple technology offers the opportunity to develop functional assays of islet biology in vivo.
Clearly, this simplified approach would work even better if Δ
r1, the difference in
r1 between physiological pH and more acidic pH values, was even larger than that displayed by GdDOTA-4AmP
5−. Standard theory predicts that the
r1 of a Gd
3+ complex undergoing fast water exchange will increase upon slowing molecular rotation or tumbling of the molecule in solution (increasing τ
R). However, GdDOTA-4AmP
5− is a bit unusual in this context because it has a slowly exchanging water molecule at high pH and a catalytically enhanced proton exchange rate at lower pH values. Based on simple theory, one would predict that the r
1 of the low pH species may become more magnified upon slowing molecular rotation than the
r1 of the slow water exchange species at higher pH. If correct, then Δ
r1 could be significantly better for a motionally restricted version of GdDOTA-4AmP
5−. To test this, a bifunctional derivative of GdDOTA-4AmP
5− was synthesized and reacted with a generation five G5-PAMAM dendrimer having 128 surface amino groups. The product contained on average 96 molecules of benzyl-GdDOTA-4AmP
5− on the surface of the dendrimer and the resulting macromolecule had an average hydrodynamic volume consistent with a molecular weight of ~140 kD.
19 As anticipated, the
r1 of resulting macromolecular sensor remained pH sensitive () with
r1 increasing from 10.8 mM
−1s
−1 per Gd
3+ at pH 9.5 to 24.0 mM
−1s
−1 per Gd
3+ at pH 6. On a macromolecular basis, this corresponds to a change in
r1 from 1037 mM
−1s
−1 at pH 9.5 to 2304 mM
−1s
−1 at pH 6. Thus, Δ
r1 for the dendrimer increased 2.2-fold over this pH range in comparison to a Δ
r1 of 1.5-fold for monomeric sensor over an identical pH range. This increase was significant but not as large as anticipated. It should be pointed out that the mobility of the dendrimer itself is known to be pH-dependent
24 so part of the change in relaxivity observed in this system may be due to pH-dependent changes in molecular motion of the dendrimer itself and may not solely reflect the pH sensor attached to its surface. Nevertheless, these data show that one could use significantly less pH sensitive dendrimer (≈ 0.1 – 0.3 µM) to detect similar changes in pH by MRI as those demonstrated in . This experiment has not yet been performed
in vivo.