A quantitative measurement of the cell membrane water permeability of expression-controlled AQP4 cells with diffusion weighted MRI
Takayuki Obata1, Jeff Kershaw2, Yasuhiko Tachibana1, Youichiro Abe3, Sayaka Shibata2, Yoko Ikoma2, Hiroshi Kawaguchi4, Ichio Aoki2, and Masato Yasui3

1Applied MRI Research, National Institute of Radiological Sciences, Chiba, Japan, 2Molecular Imaging Center, National Institute of Radiological Sciences, Chiba, Japan, 3Department of Pharmacology, Keio University, Tokyo, Japan, 4Human Informatics Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Japan

Synopsis

We performed multi-b and multi-diffusion-time DWI on aquaporin-4-expressing and non-expressing cells, and demonstrated a clear difference between the signals from the two cell types. The data was interpreted with a two-compartment model including inter-compartmental exchange. It was also assumed that restricted diffusion of water molecules inside the cells leads to the intracellular diffusion coefficient being inversely proportional to the diffusion-time. Estimates of the water-exchange times with this model were comparable with those measured using an independent optical imaging technique, which suggests that this method might be used to characterize cell-membrane water permeability. As the technique can be applied in routine clinical examination, it has the potential to improve clinical diagnosis.

Introduction

The effect of cell-membrane water permeability on DWI has been discussed (1). To measure the effect quantitatively, we performed multi-b and multi-diffusion-time (MbMTd) DWI on aquaporin-4-expressing (AQ) and non-expressing (noAQ) cells, and demonstrated a clear difference between the signals from the two cell types. The data was interpreted with a two-compartment model including inter-compartmental exchange. It was also assumed that restricted diffusion of water molecules inside the cells leads to the intracellular diffusion coefficient being inversely proportional to the diffusion-time. Estimates of the water-exchange times with this model were comparable with those measured using an independent optical imaging technique (2), which suggests that this method might be used to characterize cell-membrane water permeability. As the technique can be applied in routine clinical examination, it has the potential to improve clinical diagnosis.

Methods

A 7T animal MRI (Kobelco and Bruker, Japan) system was used for this experiment. Two types of cells (noAQ and AQ) suspended in PBS were set in the gantry. MbMTd DWI was obtained using a pulsed-gradient spin-echo (PGSE) sequence with multi-shot EPI acquisition (TR = 3s, TE = 115ms, matrix size = 128x128, spatial resolution = 0.2×0.2mm, and slice thickness = 2mm). The interval between the diffusion gradient lobes (Δ) were set at 40, 70, and 100ms to change the diffusion time (represented by Tdscan = Δ - δ/3) while keeping TE constant. The diffusion gradient duration (δ) was fixed at 7ms for all experiments. For each Tdscan, the b-value was increased from 0 to 8000 s/mm2 in 14 steps by increasing the gradient amplitude. Karger model (3-5), which is a simple two compartment model with inter-compartmental compound exchange, was used for the initial analysis of the data. Based on these results it was further assumed that Tdscan is sufficiently long that the diffusion coefficient in the extracellular space (Dex) is approximately constant while that in the intracellular space (Din) is inversely proportional to the diffusion time (6-7), and the data was analyzed again using a Td-independent Dex and a/Tdscan^c instead of a constant Din (Fig. 1). The parameter a has dimensions of length squared, while c is a parameter inserted to test the assumption that Din is inversely proportional to Tdscan.

Results and Discussion

Separate apparent diffusion coefficient (ADC) maps were calculated for the low- (b=0-1500 s/mm2) and high-b (b=4000-8000 s/mm2) ranges using single-exponential fitting to the images acquired with Δ=100ms (Fig. 2). The low-b range ADC map appears to depend on depth, while the high-b range ADC map is more sensitive to differences in AQP4 expression. The mean b-value dependent signal changes from ROIs drawn midway down the cell cultures are compared in Fig. 3. The fitted curves are consistent with the observed data across all values of Tdscan (Fig. 3). The exchange times (tie) for the noAQ and AQ cells were 88.9+-2.2ms and 62.7+-2.9 ms, respectively. These values are compatible with those obtained with optical imaging (2). The parameter c was estimated to be 0.985+-0.003 for noAQ and 1.01+-0.00 for AQ, respectively. The fact that the estimated values of c for both the noAQ and AQ cells were almost 1 is consistent with our assumption about the intracellular diffusion coefficient. All estimates are summarized in Table 2.

Acknowledgements

This work was partially supported by the KAKENHI grant (15H04910) and grants from the Japanese Ministry of Education, Culture, Sports, Science.

References

[1] Obata T, et al. Proc. of ISMRM. 2012; p 1830. [2] Ibata K, et al. Biophys J 2011;101:2277-2283. [3] Andrasko J. Biochim Biophys Acta 1976;428:304-311. [4] Kaerger J, et al. Adv Magn Reson 1988;12:1-89. [5] Lee J-H, et al. MRM 2003;49:450-458. [6] Lam WW, et al. Magn Reson Med 2014. [7] Duplay R, et al. Phys Rev E Stat Nonlin Soft Matter Phys 2004;70:066309.

Figures

Fig. 1. Equations used to estimate the permeability from the AQ and noAQ data. A base equation is same as reported before (Eq. 1). The different point is that we used a/Tdscanc instead of Din (red in Eq. 2 and Eq.3).

Fig. 2. Profiles along lines drawn on the ADC maps (x10-3 mm2/s) of aquaporin-4-expressing (AQ, solid) and non-expressing cells (noAQ, dashed) in PCR tubes.

Fig. 3. Curve fits for the noAQ (left) and AQ (right) data using the proposed model. All parameter estimates for the model are summarized in Table 2.

Table 1.

Table 2.



Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)
2010