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Research ArticleArticle

Human Amyloid-β40 Kinetics after Intravenous and Intracerebroventricular Injections and Calcitriol Treatment in Rats In Vivo

H. Benson Peng, Keumhan Noh, Sophie R. Pan, Victor Saldivia, Sylvia Serson, Anja Toscan, Inés A.M. de Lannoy and K. Sandy Pang
Drug Metabolism and Disposition October 2020, 48 (10) 944-955; DOI: https://doi.org/10.1124/dmd.120.090886
H. Benson Peng
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Keumhan Noh
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Sophie R. Pan
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Victor Saldivia
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Sylvia Serson
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Anja Toscan
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Inés A.M. de Lannoy
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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K. Sandy Pang
Department of Pharmaceutical Sciences, Leslie Dan Faculty of Pharmacy, University of Toronto, Toronto, Ontario, Canada (H.B.P., K.N., K.S.P.) and InterVivo Solutions Inc., Mississauga, Ontario, Canada (S.R.P., V.S., S.S., A.T., I.A.M.d.L.)
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Abstract

Amyloid-β peptides of 40 and 42 amino acid lengths, which are synthesized in neurons and degraded in the brain and liver, have the potential to aggregate and form neuritic plaques in Alzheimer disease. The kinetics of human amyloid-β (hAβ) 40 were examined in the rat pursuant to intravenous and intracerebroventricular administration after pretreatment with calcitriol, the active vitamin D receptor ligand (6.4 nmol·kg−1 in 0.3 ml corn oil every other day for four intraperitoneal doses) to induce P-glycoprotein (P-gp) and enhance hAβ40 brain efflux. The interference of hAβ40 by media matrix that suppressed absorbance readings in the ELISA assay was circumvented with use of different calibration curves prepared in Standard Dilution Buffer, undiluted, 10–10,000 or 5-fold diluted plasma, or artificial cerebrospinal fluid. Simultaneous fitting of hAβ40 plasma and cerebrospinal fluid (CSF) data after intravenous and intracerebroventricular administration were described by catenary-mammillary models comprising of a central and two peripheral compartments, the brain, and one to four CSF compartments. The model with only one CSF compartment (model I) best fitted the intravenous data that showed a faster plasma decay t1/2 and slower equilibration between plasma and brain/CSF. Calcitriol induction increased the brain efflux rate constant, k41 (1.8-fold), at the blood-brain barrier when compared with the control group, as confirmed by the 2-fold (P < 0.05) increase in brain P-gp relative protein expression.

SIGNIFICANCE STATEMENT An accurate description of the kinetic behavior of human amyloid-β (hAβ) 40 is needed in defining the toxic peptide as a biomarker of Alzheimer disease. Modeling of hAβ40 data after intravenous and intracerebroventricular administration to the rat revealed an initially faster plasma half-life that reflected faster peripheral distribution but slower equilibration between plasma and brain/cerebrospinal fluid even with calcitriol pretreatment that increased P-glycoprotein protein expression and enhanced efflux clearance from brain.

Introduction

Amyloid-β (Aβ) of 40 and 42 amino acid lengths is formed via sequential cleavage of the amyloid precursor protein by β- and γ-secretases in neurons (Haass et al., 1992; Hartmann et al., 1997; Weidemann et al., 1999). These pathogenic peptides are precursors of plaque formation in Alzheimer disease (AD) (Hardy and Higgins, 1992) and contribute to the amyloid cascade hypothesis that centers on the concept that Aβ toxicity in brain is pivotal to AD pathology (Zlokovic et al., 2000). In humans, the fractional synthesis and clearance of Aβ are 7.6% and 8.3% per hour, respectively (Bateman et al., 2006). The average Aβ production rate (6.6%–6.8% per hour) by β-secretase is similar between normal and AD subjects, whereas brain Aβ clearance is much lower for those diagnosed with AD (∼5.2% per hour) compared with normal subjects (7.0%–7.6% per hour) (Mawuenyega et al., 2010). Aβ clearance across the blood-brain barrier (BBB) is 6-fold higher than the interstitial fluid bulk flow (Bell et al., 2007) and 2-fold higher than metabolism by neprilysin, the proteolytic enzyme in the microglia that degrades Aβ40 (Iwata et al., 2000; Qosa et al., 2014). Aβ40 clearance appeared to be injection site–specific since 125I-Aβ40 and 14C-sucrose injected into the lateral ventricles of rat brains were found to be rapidly distributed throughout the cerebrospinal fluid (CSF) and cleared into blood, whereas diffusion into brain tissue (parenchyma) was poor and negligible (Ghersi-Egea et al., 1996a,b). About 62% of 125I-Aβ40 injected intracerebrally to the mouse brain is found effluxed across the BBB, whereas the remaining 38% was associated with degradation and CSF bulk flow (Qosa et al., 2014). These processes appear to be Aβ40- or Aβ42-dependent, since radiolabeled Aβ40 injected into the hippocampus is readily transported across the BBB (Iwata et al., 2000) to reach the liver for elimination (Ghiso et al., 2004; Tamaki et al., 2006), whereas radiolabeled Aβ42 injected into the hippocampus lingered and was mostly recovered in the brain (Iwata et al., 2005).

The efflux of Aβ peptides from the brain via the BBB and blood-cerebrospinal fluid barrier (BCSFB) to the peripheral circulation allows the peptides to reach peripheral degradation organs, namely the liver (Ghiso et al., 2004; Tamaki et al., 2006) and potentially the kidney (Yasojima et al., 2001). Currently, there is strong evidence that the liver is a major organ that contributes to Aβ peptide degradation (Marques et al., 2009; Maarouf et al., 2018). An imbalance of Aβ peptide accumulation and degradation in brain or liver or efflux from the brain across the BBB and BCSFB could contribute to the seeding effect, allowing for accumulation, aggregation, and insoluble senile plaque formation (Shibata et al., 2000; Zlokovic et al., 2000; Bates et al., 2009; Deane et al., 2009).

Currently, there has not been any cohesive description of human amyloid-β (hAβ) 40 kinetics. Aβ pharmacokinetic studies are scarce, and the results have been spurious. Different half-lives (t1/2) of 2.5–3 minutes (Ghiso et al., 2004), 0.7–1.7 hours (Abramowski et al., 2008), and 2 hours (Cirrito et al., 2003) and some ranging from 26 to 240 minutes (Shibata et al., 2000) have been reported in mice in vivo. The disparity in the t1/2 is likely due to inappropriate methodology (inadequate sampling or use of total radioactivity to represent Aβ), misinterpretation, aggregation problems of Aβ (Teplow, 2006), and/or interference in the ELISA (Lanz and Schachter, 2006). Whether CSF concentration is a good surrogate of the unbound brain concentration (Tang et al., 2009) and whether hAβ40 or the ratio of hAβ42/hAβ40 in plasma or CSF relate to the extent of cerebral amyloidosis or AD progression (Seppälä et al., 2010; Vergallo et al., 2019) are unknown. We initiated a study in rats with intravenous or intracerebroventricular administration of hAβ40 to appraise the complex kinetics of hAβ40 after calcitriol treatment. The rat, a larger rodent that does not synthesize hAβ40, was chosen for study since its size allows for sequential plasma and CSF sampling, and any variation in hAβ40 synthesis is nonexistent. A sound strategy that accounted for matrix interference by albumin, transthyretin, or α-2-macroglobulin, which quench the Aβ signal (Biere et al., 1996; Kuo et al., 1999; Lanz and Schachter, 2006; Alemi et al., 2016), in the sample was used to assay for hAβ40 in plasma and CSF. The pharmacokinetics of hAβ40, a substrate of P-gp (Lam et al., 2001), was studied after pretreatment with calcitriol, the active ligand of the vitamin D receptor (VDR) known to induce for P-gp in humans, mice, and rats (Durk et al., 2012, 2014).

Materials and Methods

Reagents and Chemicals.

All reagents, chemicals, and calcitriol in powder form were obtained from Sigma-Aldrich (Mississauga, ON). Powdered hAβ40 peptide was purchased from Biopeptide Co., Inc. (San Diego, CA). The ELISA kit for the hAβ40 (KHB3841) assay and the primary mouse anti-rat P-gp antibody (C219) were purchased from ThermoFisher Scientific (Mississauga, ON), whereas the rabbit anti-rat neprilysin antibody (AB5458) was from Millipore Sigma (Etobicoke, ON), and rabbit anti–low-density lipoprotein receptor-related protein 1 (Lrp1) antibody (ab92544) and mouse anti-rat Gapdh (ab8245) antibodies were from Abcam (Cambridge, MA). The rat anti-Mp1 antibody (MC-106) was from Kamiya Biomedical (Seattle, WA). The goat anti-mouse or goat anti-rabbit IgG secondary antibody conjugated to horseradish peroxidase was procured from BioRad (Mississauga, ON). Artificial CSF (aCSF) was obtained from Harvard Apparatus (St. Laurent, QC).

Preparation of hAβ40 Stock Solution for Dosing.

The hAβ40 peptide for dosing was prepared according to previously described reports (Stine et al., 2003; Teplow, 2006; Roychaudhuri et al., 2015). Briefly, the hAβ40 in powder form was solvated in 100% 1,1,1,3,3,3-hexafluoro-2-propanol (HFIP), made up to 1 mM (Stine et al., 2003) in the original glass vial, and left at room temperature until a clear solution was obtained. The content was transferred to a 1.5-ml polypropylene microcentrifuge tube for evaporation of HFIP overnight in the fume hood. The clear peptide film was dried under vacuum in a SpeedVac rotary evaporator for 2 hours to ensure complete HFIP removal, and the resulting desiccated peptide film was redissolved in 10% (v/v) 0.06 N NaOH, 45% (v/v) double distilled H2O, and 45% (v/v) PBS (20 mM sodium phosphate, pH = 7.4) to a 1–mg·ml−1 stock solution. This reconstituted hAβ40 peptide stock solution was sonicated over an ice bath (Branson) for 1 minute and then aliquoted and stored immediately at −80°C for future use. The preparation and storage of hAβ40 in this fashion ensured that the peptide was stable and reproducible for intravenous and intracerebroventricular administration. The integrity and stability of the 1 mg·ml−1 hAβ40 stock solution stored at −80°C up to a month was ascertained on different occasions with ELISA assay and a liquid chromatography tandem mass spectrometry procedure developed at InterVivo Solutions. Briefly, an AB Sciex 6500QTrap mass spectrometer with Exion LC system and autosampler, a Thermo ProSwift RP-4H column, and gradient elution (mobile phase A: 0.3% NH4OH in water, mobile phase B: acetonitrile at 0.4 ml/min) were used over a run time of 4.7 minutes. The mass spectrometer was operated with a TIS interface and multiple-reaction monitoring in positive ion mode. Ion transitions that were used for quantitation were: hAβ40 m/z 1083.3 (M+4H]4+) → 1054.2 with 15N-Aβ40 (m/z 1096.3 (M+4H]4+) →1066.9) as internal standard. hAβ40 was shown to be stable with one to four freeze-thaws. For intravenous dosing, the 1–mg·ml−1 stock solution was further diluted with PBS (1:4, v/v, pH 7.4, from GIBCO, catalog number 10010023; obtained from ThermoFisher Scientific) on the day of the experiment, whereas for intracerebroventricular dosing, the desiccated peptide film was used to prepare a 2 mg·ml−1 solution for administration. The concentrations of the intravenous and intracerebroventricular doses were first estimated by UV spectrophotometry (UV-1700; Shimadzu Scientific Instruments, Columbia, MD) at the wavelength of 280 nm because of the single Tyr residue present on the hAβ40 peptide (Jan et al., 2010), and concentration of the dosing solution was subsequently confirmed by ELISA.

ELISA.

The primary 160 ng standard stock of hAβ40, which was provided by the manufacturer, was first dissolved with 1.6 ml of the Standard Reconstitution Buffer (55 mM sodium bicarbonate, pH 9) to obtain a 100 ng·ml−1 stock solution. This stock solution was diluted to 10,000 pg·ml−1 with the Standard Dilution Buffer (SDB) to prepare the eight standards by serial dilution (500 ro 7.81 pg·ml−1) according to the protocol suggested by the manufacturer. The absorbances of the standards were measured at 450 nm (SpectraMax 340PC; Molecular Devices, Sunnyvale, CA) for construction of the calibration curve for the determination of plasma or CSF concentrations.

The presence of albumin, transthyretin, or α-2–macroglobulin could quench the Aβ signal and interfere with the ELISA assay for hAβ40 in plasma and CSF (Biere et al., 1996; Kuo et al., 1999; Lanz and Schachter, 2006; Alemi et al., 2016). The interference from plasma was examined by varying the proportion of rat plasma (from 0% to 95% plasma) in the hAβ40 standards, thus prepared as 1000, 2000, 5000, and 8000 pg·ml−1 (n = 3 in each set). Also, different media were used to prepare the standards of various calibration curves. The CSF standards were prepared in SDB (0, 10–10,000-fold, v/v) or aCSF or directly loaded as 50-µl aliquots onto the ELISA plate. The interference from rat plasma or aCSF was examined among calibration curves generated from undiluted blank plasma (50 μl direct loading), from 5- and 10–10,000-fold diluted plasma in SDB, or in 100% aCSF versus the calibration curve based on hAβ40 standards prepared in SDB.

In Vivo Experiments.

All animal protocols were approved by the InterVivo Solutions Animal Care Committee, and studies were carried out in accordance with the principles of the Canadian Council on Animal Care. Male Sprague-Dawley rats, purchased from Charles River Laboratories (St. Constant, QC), were acclimated under a 12-hour light/dark cycle and given water and chow ad libitum at InterVivo Solutions for at least 5 days prior to dosing. The rats (318 ± 41.6 g) were weighed on the day of dosing.

The effect of corn oil, the vehicle for intraperitoneal injection of calcitriol, on hAβ40 kinetics was first investigated in absence of calcitriol. The hAβ40 dose was determined after a broad and exhaustive literature search on Aβ injections via intravenous, intracerebral or intracerebroventricular routes to various animal (guinea pigs, mice, and rats) models. In the first set of animals, the hAβ40 dose (68.5 ± 12.0 µg·kg−1; n = 4) was administered intravenously to rats that were pretreated blank corn oil (0.3 ml) given every other day intraperitoneally for four doses for comparison with hAβ40 kinetics (64.5 ± 13.2 µg·kg−1 in saline, n = 12) among control rats that were not pretreated with corn oil. In the second set of rats, hAβ40 kinetics after a single hAβ40 intracerebroventricular dose (48.0 ± 14.9 µg·kg−1 in corn oil, n = 4) were compared with those after intravenous dosing (data from first set were combined to give n = 16, since corn oil did not affect hAβ40 kinetics). For the last set, rats were pretreated with calcitriol (6.4 nmol·kg−1 in 0.3 ml corn oil every other day for four doses, intraperitoneally) and then administered a single intravenous (73.5 ± 6.02 µg·kg−1; n = 7) or intracerebroventricular (20.3 ± 1.30 µg kg 1; n = 5) dose of hAβ40 1 day after completion of the calcitriol pretreatment regimen.

Surgery was performed under 4% isoflurane in oxygen for anesthesia and 1–3% for maintenance, and rats were allowed to fully recover for 1 day before dosing. Catheters were implanted into the jugular vein for intravenous dosing or the lateral ventricle (LV) for intracerebroventricular dosing, into the carotid artery for serial blood sampling, and into the cisterna magna (CM) for CSF collection. The common bile duct was cannulated for the collection of bile in three rats (intravenous control group) that remained anesthetized during dosing and sampling. For intravenous dosing, the jugular vein catheter (CX-2011S; BASi, West Lafayette, IN) was prefilled with heparinized (40 U/ml) physiologic saline solution to prevent blood coagulation. An hAβ40 (∼0.2 ml) bolus dose was injected into the jugular vein followed by flushing with ∼0.1 ml of heparinized saline. For intracerebroventricular dosing, an intracerebroventricular guide cannula (P1 technologies, Roanoke, VA) was placed into the right lateral ventricle of the brain (stereotactic coordinates: −0.92 Anteroposterior or AP, −1.3 Lateral or L, and −3.1 Dorsoventral or DV relative to the bregma) with facilitation of a stereotaxic instrument. The dosing solution (0.01 ml) was administered via a 1-ml Hamilton glass microsyringe (inner diameter 1.46 mm) fitted to the intracerebroventricular injection catheter at 1 μl·s−1 using a Harvard Apparatus Pump 11 elite system. Serial blood sampling (0.15 ml) was performed after both intravenous and intracerebroventricular injections via the carotid artery catheter at times 0, 0.5, 1, 2, 5, 10, 15, 30, 45, 60, 90, 120, 150, and 180 minutes postdose, and sampled volumes were replaced with heparinized saline. Plasma was obtained by immediate centrifugation of blood at 4000g for 10 minutes at 4°C. For CSF sampling, a BSIL-T015 0.015ID tubing cannula (Plymouth Meeting, PA) was inserted into the cisterna magna (CM) and kept in place by a metal pin stopper (SP22/12). Serial CSF sampling (10–50 µl) was conducted via the cisterna magna cannula at times 0, 15, 30, 60, 120, and 180 minutes. A BASi CX-8000S catheter was inserted into the common bile duct for sampling (untreated intravenously injected saline-treated rats, n = 3) at 30-minute intervals. Urine was collected into pretared tubes throughout the 180 minutes of experimentation. After the last sample collection, rats were sacrificed by exsanguination under isoflurane anesthesia and transcardially perfused with 50 ml ice-cold physiologic saline solution prior to tissue collection. Hemibrains, liver (minced), kidney, and all subsequent samples were flash-frozen with liquid nitrogen, weighed, and stored at −80°C for future analysis.

Noncompartmental Analysis.

All plasma concentrations and amounts in bile or urine were normalized to dose and expressed as %dose·ml−1 (frequency) and %dose, respectively. The dose normalization facilitated data comparison among studies even when the doses differed slightly. Noncompartmental analysis was conducted for plasma and CSF hAβ40 data. The area under the concentration-time curve (AUC) to time infinity, AUC∞, was obtained by summing the area up to last sampling point based on the trapezoidal rule (AUC0-last), and the extrapolated area under the curve was obtained upon dividing the concentration of the last sample, Clast, by the terminal decay constant. Total body (plasma) clearance (CLplasma) and CSF clearance (CLCSF) after intravenous (IV) and intracerebroventricular (ICV) injections, respectively, were calculated as doseIV/AUC∞,plasma and doseICV/AUC∞,CSF; biliary clearance was determined as fbile·CLplasma, in which fbile = hAβ40 amount in bile/doseIV.

Compartmental Modeling.

Compartmental models (Fig. 1) were constructed for data fitting after intravenous and intracerebroventricular administration of hAβ40 with ADAPT5. We employed models that embellish physiologic meanings. After extensive preliminary modeling, a three-compartment model (one central and two peripheral compartments) was considered as more consistent with data than the one- or two-compartment model. Fits to one- or two-compartment models did not predict the data well (unpublished data). To the central compartment, a brain and additional (1, 2, or 4) CSF compartments were included (Fig. 1). Model I (Fig. 1A) is the simplest model whereby the entire volume of CSF is present in the ventricles/choroid plexus/CM and subarachnoid space (SAS). Model II distinguishes the site of intracerebroventricular injection (LV) from the site of CSF sampling downstream. In model III, the four CSF compartments correspond to the four ventricles, CM (sampling compartment), and SAS, as modeled by Westerhout et al. (2012) and de Lange et al. (2017). The number of CSF compartments is based on the flow of CSF, being formed from the four ventricles at the choroid plexus then flowing from the first two LVs through the single midline third ventricle and midline fourth ventricle into the CM and then upward over the convexities of the brain in the SAS, where CSF is absorbed through the arachnoid villi at the top of the brain into the superior sagittal sinus of the venous circulation (Pardridge, 2016). From the CM, CSF flows downward to the spinal cord (Fig. 1C) (Yamamoto et al., 2018).

Fig. 1.
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Fig. 1.

Models I, II, and III are depicted in (A), (B), and (C), respectively, for the fitting of the plasma and CSF data after intravenous (IV) and intracerebroventricular (ICV) hAβ40 administration. FV, fourth ventricle; TV, third ventricle.

In models I, II and III, the intercompartmental transfer or distributional rate constants between the central, peripherals, brain, and CSF compartments are denoted as k12, k21 k13, k31, k14, k41, k45, k15, k51, and k54. V1, V2, V3, and V4 are the volumes of distribution for the central, two peripheral, and brain compartments, respectively, and the volumes V5, V6, V7 and V8 are for the CSF compartments. V4 was taken as 1.8 g (Davies and Morris, 1993). In all the models, the elimination rate constants k10, k40, and k50 denote the possible degradation pathways of hAβ40 from the central, brain, and CSF compartments, respectively: degradation by neprilysin in brain is denoted by k40, whereas degradation in CSF occurs via the insulin-degrading enzyme (k50), which is normally considered to be an insignificant pathway (Saido and Leissring, 2012). There are at least four barriers: the BBB exists between the brain capillary endothelial cells containing tight junctions and brain parenchyma, where P-gp is present apically (k41); there is a barrier from the ventricular ependymal cells that presents as a relatively leaky barrier between the CSF and brain interstitial fluid, with k45 for efflux and k54 for the return from CSF to brain (Takasawa et al., 1997); the BAB lies between the fenestrated blood vessels in the meninges and the CSF in the arachnoid space formed by tight junctions of the arachnoid epithelial cells (Yasuda et al., 2013), where return of CSF to the circulation also occurs; and lastly, there is the BCSFB formed by tight junctions between the choroid plexus epithelial cells, which restrict the movement of molecules that leak from the fenestrated capillaries into the extracellular compartment of the choroid plexus then into the CSF (k15 for influx from blood at the ventricular choroid plexus, and k51 for return to peripheral blood). For model I, in which there is only one CSF compartment, k51 now represents the sum total of the return from BCSFB, BAB, and CSF bulk flow. For model II, k51 represents the return from the BCSFB, and k61 represents the return CSF flow and efflux functionality at the arachnoid villi (BAB). For model III, k51 represents the return from the BCSFB with k81 representing the return CSF flow and efflux functionality at the BAB.

Fitting.

The ADAPT5 System Analysis Software (Biomedical Simulations Resource, Version 5.0.53; University of Southern California, Los Angeles, CA) was used for data fitting with the Maximum-Likelihood Expectation Maximization algorithm. Initial estimates were determined from curve-stripping analysis. Simultaneously fitting of both the control and calcitriol data sets was not successful. First, only first-order conditions are assumed to prevail. The first fit was based on the combined control data of hAβ40 in plasma and CSF after intravenous and intracerebroventricular injections into the rat. The second fit was performed on model fitting to the combined data from intravenous and intracerebroventricular injections to the treated rats. Preliminary fitting showed that inclusion of the rate constant k15 in model I did not affect the fit because the value was very low and could be omitted. The same was observed for k51. For subsequent fits to models II and III, setting k15 or k51 = 0 did not affect the fit (Supplemental Tables 1 and 2), suggesting that the net transport at the BCSFB is insignificant. The decision agrees with reports on the low permeability of unconjugated human Aβ in the rat (Saito et al., 1995; Poduslo et al., 1999; Kandimalla et al., 2005) and that the activity at the BCSFB is much lower (1/30) than that at the BBB (Morris et al., 2017).

As a starting point, model I (Fig. 1A) was used to fit the hAβ40 intravenous and intracerebroventricular data sets in absence of calcitriol treatment. The resulting fit provided both individual and population best fits for the control (non-calcitriol treated) data to render final estimates. These rate constants were then used as initial estimates to fit the intravenous and intracerebroventricular calcitriol treatment data in the second and third fits. Since preliminary modeling showed that volume of the CSF compartment (V5,CSF) was increased 5-fold after calcitriol treatment without any compelling physiologic reasons, the volume estimates of V1,plasma and V5,CSF from the first fit (control data set) were fixed for the second and third fits (calcitriol treatment data, labeled as “A” for model 1A and “B” for model 1B) (see Table 1). Similar strategies were used for models II and III by fixing the CSF return rate constant, k51, k61, or k81(see Supplemental Tables 2 and 3). We also assigned physiologic volumes for fitting (Davies and Morris, 1993) for model II. For best fits, graphs were visualized (prediction plots) as well as statistical outputs, the weighted sum of squared residuals (WSSR), and Akaike Information Criterion (AIC); the lowest number suggests the best fit. We examined the F-test statistic (with use of degrees of freedom and WSSR to calculate the F-score for comparison with the critical F-value, with the significance level, α, as 0.05) for the best fit (Boxenbaum et al., 1974).

Western Immunoblotting.

Rat hemibrains were homogenized in 5× homogenizing buffer containing protease inhibitors (1:100; v/v), and the brain homogenate was subsequently centrifuged at 3000g for 10 minutes at 4°C (Chow et al., 2011). The resulting brain supernatant was further diluted with homogenizing buffer and centrifuged at 33,000g for 60 minutes at 4°C. The resultant pellet or non-nuclear crude membrane fraction was resuspended in 200–300 µl of resuspension buffer containing protease inhibitor (1:100; v/v) (Chow et al., 2011), and protein concentration was determined by the Lowry method (Lowry et al., 1951). Aliquots containing 40 µg of non-nuclear (crude) membrane protein in brain for P-gp, neprilysin, and multidrug resistance-associated protein 1 (Mrp1) and 5 µg for Lrp1 were resolved with 10% SDS–polyacrylamide gel electrophoresis. The resolved proteins were wet-transferred (BioRad) onto nitrocellulose membranes (GE Health, Mississauga, ON) and blocked with 5% skim milk dissolved in Tris-buffered saline + 0.1% Tween-20 (1X TBS-T) at room temperature for 1 hour. After this step, blots were washed once with TBS-T solution, cut, and probed overnight at 4°C with respective primary anti–P-gp (1:500; v/v), anti-neprilysin (1:1000; v/v), anti-Mrp1 (1:50; v/v), anti-Lrp1 (1:50,000; v/v), and anti-Gapdh (1:15,000; v/v) antibodies in 2% skim milk TBS-T solution. The blots were washed three times with TBS-T (15 minutes for each wash) and incubated further at room temperature for 2 hours with goat anti-mouse or rabbit IgG secondary antibody conjugated to horseradish peroxidase (1:1000 for P-gp, neprilysin, Mrp1, Lrp1, and 1:10,000 for Gapdh; v/v) in 2% skim milk TBS-T solution. After 2 hours of incubation, blots were washed again three times with TBS-T (15 minutes for each wash) and imaged by the enhanced chemiluminescence reagent (GE Health, Amersham) with ChemiDoc MP (BioRad). The band intensities were quantified by densitometry and normalized to the housekeeping protein, Gapdh.

Statistical Analysis.

All concentration data were normalized to dose and expressed as %dose·ml−1, and data are expressed as mean ± S.D. The Student’s unpaired t test was conducted for the comparison of Western immunoblots and parameters obtained for untreated and corn oil–treated rats by noncompartmental analysis, and the Wilcoxon rank sum test (nonparametric test, R) was conducted for individual parameters from population data set, and the significant P value was <0.05.

Results

Quantitation of hAβ40

Calibration curves that were generated from different types of media (SDB, 10–10,000-fold diluted plasma, 5-fold diluted plasma by mixing 10 µl plasma with 40 µl SDB or 50 µl undiluted plasma, or aCSF) were used for appraisal of the matrix effect. The limit of quantitation was 7.81 pg·ml−1 for plasma and CSF hAβ40 concentrations. Clearly, the matrix effect that resulted in quenching of absorbance by plasma components was observed among the 1000–8000-pg·ml−1 samples (Fig. 2A); the greater the % rat plasma, the greater the magnitude of quenching. Signal suppression by the undiluted plasma was about 50% for the 8000–pg·ml−1 sample. The calibration curves prepared in SDB and 5-fold diluted plasma were essentially identical, whereas values of the standards generated in 50 µl undiluted plasma were lower (Fig. 2B). The calibration curves prepared in SDB and 5-fold diluted plasma were essentially identical, whereas values of standards generated in 50 µl undiluted plasma were diminished (Fig. 2B). For standards prepared in aCSF, the assayed value for the highest calibration standard was higher than that prepared in SDB or the 10- to 10,000-fold diluted plasma, but values for other calibration standards were all similar (Fig. 2B). Hence, multiple calibration curves were prepared in different matrices and different dilutions of the sample (Fig. 2B). Since most of the measured concentrations were between 7.81 and 250 pg·ml−1, the resulting concentrations after interpolation were similar for the samples prepared in SDB or in plasma samples with sufficiently high dilution (>10–10,000-fold dilution with SDB). The calibration curve prepared in SDB was deemed appropriate for the determination of hAβ40 samples at earlier time points (>10–10,000-fold dilution), whereas for the late-in-time undiluted plasma samples (last data point at 180 minutes), the calibration curve that was prepared in undiluted rat plasma was used for quantitation.

Fig. 2.
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Fig. 2.

Effect of plasma on suppressing absorbance signal (optical density or ODS) in the hAβ40 ELISA assay, postdilution (A), with ODS prepared with different calibration standards in four different matrices (B)—50 µl SDB, 10 µl plasma + 40 µl SDB, undiluted rat plasma, or aCSF—after sequential dilution with plasma or aCSF matrices to generate the calibration curves. The same colored symbol was used for standards prepared within the same calibration curve.

Pharmacokinetics of hAβ40

Noncompartmental Modeling of Intravenous Data in Untreated versus Corn Oil–Treated Rats.

We first tested whether corn oil, the vehicle for calcitriol administration, affected the kinetics of hAβ40 in groups of rats. In both groups of rats given intravenous hAβ40, similar multiexponential decay profiles were observed for the hAβ40 in plasma; CSF concentrations rose quickly and remained quite constant over the 180 minutes of sampling (Fig. 3A). The apparent terminal t1/2 of hAβ40, estimated by regression of the log-linear portions of the plasma decay curves, were similar (24.5 ± 0.05 and 16.8 ± 5.66 minutes for the untreated and the corn oil–treated rats (Fig. 3B), respectively; P > 0.05), whereas those for CSF were considerably longer (75.5 ± 17.9 and 47.9 ± 20.9 minutes, respectively; P > 0.05). The AUC∞,plasma (extrapolated to infinity) normalized to the dose for the injections in saline- and corn oil-(vehicle) pretreated rats were not different (P > 0.05; Table 1), yielding similar plasma clearances (CLplasma) of 17.9 ± 6.20 and 23.2 ± 2.21 ml·min−1·kg−1 for both groups. The total amounts recovered in bile collected for untreated rats and the fraction of dose (fbile) excreted into bile were both very low, and hAβ40 was undetectable in urine. The partition coefficient for CSF/plasma (Kp,CSF:plasma), calculated as ratio of AUC∞,CSF/AUC∞,plasma, was low and similar (0.0085 ± 0.00211 and 0.0099 ± 0.00680, P > 0.05) between the untreated and corn oil–treated rats. The composite data showed that corn oil did not interfere with the kinetics of hAβ40 (Table 1).

Fig. 3.
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Fig. 3.

Rat plasma and CSF concentration-time profiles (concentrations normalized to dose, %dose·ml−1) after intravenous (IV) administration of hAβ40 to untreated (n = 12, left panels), A; and corn oil–treated (q2d ×4; right panels, n = 4) rats, B. Serial samples obtained from the same rat were denoted with the same symbol and color. IP, intraperitoneal.

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TABLE 1

Noncompartmental parameters for hAβ40 after single intravenous injections to untreated and intraperitoneally corn oil–treated rats (absence of calcitriol treatment)a

Compartmental Modeling and Fitting of Data after Intravenous and Intracerebroventricular Injections.

Because the hAβ40 concentration-time profiles of the control rats, with or without corn oil treatment, were similar after intravenous hAβ40 dosing, data for this first group of rats were combined and consolidated as the control intravenous group (n = 16). These intravenous data that exhibited the shorter t1/2 in plasma were for comparison with the control data after intracerebroventricular injections (n = 4), which showed that hAβ40 plasma and CSF concentrations decayed in unison. All models (Fig. 1) were used for fitting of the intravenous and intracerebroventricular data for the control groups (fit 1) and then for the intravenous and intracerebroventricular data for the treatment groups (fit 2). Preliminary fits showed minor and 5-fold changes in V1,plasma and V5,CSF, respectively, for model I. Because there is no physiologic basis of these volume changes, we constrained these parameters and assigned the fitted estimates from the first fit as volumes of plasma and CSF for the second fit (“A” versions of models); another added constraint was carried out by setting the return CSF clearance: k51·V5,CSF, k61·V6,CSF, and k81·V8,CSF for models I, II, and III, respectively (“B” versions of the models). The F scores for all models were not significantly different from model I for all fits, although differences in WSSR and AIC were noted (Table 2). The key changes of the derived rate constants from models I, IA, and IB (Table 3), and models II, IIA, IIB, III, IIIA, and IIIB (Supplemental Figs. 1 and 2; Supplemental Tables 1 and 2) are summarized. Statistically, best fits were observed for model I and IA (Fig. 4), and V5,CSF, whether being constraint or not, is not important. Then model II, which revealed low WSSR and AIC values (Table 2) and excellent prediction plots (Supplemental Fig. 1), was also found to be satisfactory, but model II fits were associated with higher CVs (Supplemental Table 1). Fits for models IB, IIA, and IIB; all model III (Fig. 4; Supplemental Figs. 1 and 2); and other models (unpublished data) were poorer. For the treatment data, the intracerebroventricular CSF data for models IIB and IIC were consistently overpredicted, whereas the intracerebroventricular plasma data for Models IB and III were consistently underpredicted (Fig. 4; Supplemental Figs. 1 and 2). Additionally, more complex models, including addition of an interstitial fluid or glymphatic compartment or a semi–physiologically based pharmacokinetic model, did not improve the fit to our data (unpublished data). The data for the nontreatment and treatment groups were within the predicted 5% and 95% confidence interval (shaded area between dotted red or blue lines) for model I (Fig. 5).

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TABLE 2

The WSSR and AIC for control data sets vs. the calcitriol-treated data for the fitted compartment models (shown in Fig. 1)

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TABLE 3

Maximum-Likelihood Expectation Maximization population parameters for simultaneous fit of intravenous and intracerebroventricular hAβ40 data with models I, IA, and IB (k15 assigned as 0) with fitting by ADAPT5

Fig. 4.
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Fig. 4.

Prediction plots for model I (upper panel), model IA (middle panel, setting and V1,plasma and V5,CSF constant as those for model I), and model IB (bottom panel, setting and V1,plasma, V5,CSF, and k51 constant as those for model I) after intravenous (IV) and intracerebroventricular (ICV) injections; serial samples obtained from the same rat were denoted with the same symbol. The black line represents the line of identity.

Fig. 5.
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Fig. 5.

Fits of observed vs. predicted plasma and CSF concentrations in control and calcitriol-treated rats after hAβ40 intravenous (IV) and intracerebroventricular (ICV) administration (data of Fig. 4) to model I. The red and blue lines represent the lines of best fit for plasma and CSF, respectively, and the shaded regions denote the 5% and 95% confidence interval. Serial samples obtained from the same rat were denoted with the same symbol.

For model I, k41, k45, and k51 were increased 1.8-, 3.4-, and 5.4-fold, respectively; V5,CSF was increased 5.3-fold (P < 0.05) after calcitriol treatment. This volume change was found to be unimportant since model IA (assigning V5,CSF and V1,plasma as constants) also predicted the data well (Fig. 4). Upon restraining the volumes of plasma and CSF (model IA), k41, k45, and k51 were increased 1.7-, 1.6-, and 8.2-fold, respectively. The increase in k51 could be explained when P-gp, which is present abundantly at the arachnoid villi (BAB) (Yasuda et al., 2013), is also induced by calcitriol. Upon further restraining k51, V1,plasma, and V5,CSF as constants (model IB), k41 and k45 were increased 1.25- and 2.75-fold, respectively. In all fits, the CSF (k50·V5,CSF) and brain (k40·V4,brain) degradation clearances were unchanged with calcitriol treatment (Table 3). A closer look at the calcitriol-treated group revealed a slightly but insignificantly faster terminal phase when compared with the control group. The CLplasma (k10·V1,plasma) was increased significantly only for model I from 21.8 to 25.8 ml min−1kg−1 with calcitriol treatment and not for model IA nor model IB (Table 3). For model II, the fitted values of most of the constants were unchanged, but high CVs were observed. For model III, in which there is underprediction of CSF data, there were minor changes in the CSF flow-rate constants, k67 and k78, and k50, which increased with calcitriol treatment. CLplasma for model II was double that of model I for control data, and treatment increased the value from 44.5 to 55.9 ml min−1 kg−1 insignificantly (Supplemental Table 1), whereas CLplasma for model III was similar to that of model I, and the value remained unchanged with calcitriol treatment (Supplemental Table 2). Overall, model I is best, but models I and II fail to explain the ratio, k41/k45 < 1, which is inconsistent with known abundances of P-gp in the BBB (Qosa et al., 2014; Morris et al., 2017); only model III has the correct pattern.

Commonality of the Models.

Generally speaking, there is faster equilibration between the central and peripheral compartments than with the brain compartment (k14) for all of the models (see Supplemental Tables 1 and 2; Table 1). The transfer rate constant from plasma to brain (k14) is slow among the distributional rate constants; k15 is even slower, and the fit was not altered when its value was set to zero; the efflux rate constants at the BBB (k41) and ventricular barrier (k45) are faster than the influx constants from plasma, k14 and k15. All of the brain/CSF distributional rate constants (k14, k41, k45, k51, and k54) are much slower than k12, k13, k21, and k31, the distributional rate constants between plasma and the peripheral compartments 1 and 2.

Modeling and Simulations.

To further understand the pharmacokinetics of hAβ40, simulations were performed based on the fitted parameters of the best model, model I. The amount of hAβ40 in brain (expressed as %dose) was normalized to the brain volume (1.8 g) (Davies and Morris, 1993). Plasma concentrations were shown to decay more rapidly with a shorter plasma t1/2 after intravenous versus intracerebroventricular injection, but then plasma levels tapered off, and levels became parallel to those for the brain and CSF (Fig. 6). This is due to the rapid distribution of hAβ40 (k12 and k13) to the peripheral compartments and very slow permeation (k14 and k15 ∼0) into the brain and CSF. The return of hAβ40 from brain and CSF (k41 and k51) to the circulation were also slower than k21 and k31 (Supplemental Tables 1 and 2; Table 1), and with time, the terminal t1/2 of the plasma, brain, and CSF for hAβ40 all became similar (Fig. 6). The slow distribution rate constants k41 and k51 relative to the faster k21 and k31 rate constants rate limit the distribution of hAβ40 from brain/CSF back to plasma, resulting in an apparently faster plasma t1/2 after intravenous administration. For intracerebroventricular administration, CSF and brain levels are closer to the injection site, and the CSF t1/2 paralleled that in plasma.

Fig. 6.
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Fig. 6.

Simulations based on fitted parameters for model I (Table 3) >800 minutes for plasma, brain, and CSF concentrations after hAβ40 was given as single intravenous (IV) and intracerebroventricular (ICV) injections, with and without calcitriol treatment.

The simulated AUC∞s for model I further revealed other dispositional patterns of the administration route and induction by calcitriol (Table 4). The route of the injection results in higher AUC∞ for the injected site, for example, plasma exposure (AUC∞,plasma,IV) after intravenous administration is higher than after intracerebroventricular administration, and the pattern persists with absence or presence of calcitriol treatment (Fig. 6; Tables 3 and 4). Similarly, CSF exposure (AUC∞,CSF,ICV) is much higher after intracerebroventricular administration than intravenous administration, and the pattern also persists with or without calcitriol treatment. There is little change in AUC∞,brain after intravenous or intracerebroventricular administration or calcitriol treatment, suggesting that this parameter is relatively insensitive to calcitriol-mediated changes in brain hAβ40 disposition (Table 3). The AUC∞,plasma,IV is much higher than AUC∞,brain,IV and AUC∞,CSF,IV after intravenous administration because of the slow distribution of hAβ40 into brain and CSF (Table 4). The AUC∞,CSF,ICV is similar to AUC∞,brain,ICV, and these greatly exceed AUC∞,plasna,ICV after intracerebroventricular administration, reflecting slow efflux of k41 and k51 at the BBB and BCSFB/BAB (Table 3). Overall, calcitriol treatment resulted in a substantial reduction of AUC∞,plasma,IV and AUC∞,CSF,IV after intravenous administration according to model I, and there is decreased AUC∞,CSF,ICV but increased AUC∞,plasma,ICV after intracerebroventricular administration because of the increases in k41 (BBB), k45, and k51 (Table 4).

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TABLE 4

Simulated AUC0–∞ for plasma, brain, and CSF to yield partition coefficients (Kp) based on fitted parameters with model I (Table 3) for calcitriol-treated and control rats

Western Immunoblot for Efflux and Degradation Proteins

P-gp, Neprilysin, Lrp1, and Mrp1 Relative Protein Expressions.

Western immunoblotting was conducted to determine the relative protein changes in brain P-gp and Mrp1, neprilysin, and Lrp1 for the efflux transporters and degradation enzyme(s) in the crude-brain non-nuclear membrane fraction. Samples from the corn oil–treated controls (hAβ40 intravenous) were compared with the calcitriol-treated rats (intravenous and intracerebroventricular hAβ40). Calcitriol treatment resulted in a significant increase (∼2-fold) in P-gp protein expression in the rat brain, an observation similar to that observed in mouse (Chow et al., 2011) and rat (Durk et al., 2015), and agreed with the predictions of models I and IA (1.79- and 1.72-fold increase in k41). However, neprilysin, Lrp1, and Mrp1 relative protein expression levels were unchanged with calcitriol treatment (Fig. 7). Levels of Bcrp protein expression were also not altered, as we found previously (Durk et al., 2012). The lack of change neprilyin protein agreed with the lack of change in the degradation rate constant (k40) in the brain.

Fig. 7.
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Fig. 7.

Relative brain P-gp, neprilysin, Lrp1 and Mrp1 protein expressions in corn oil-treated control and calcitriol-treated rats were determined by Western Immunoblotting as described under Methods; * P < 0.05 denotes significance. The background-corrected signals of P-gp (170 kDa) and neprilysin (85.5 kDa) in the same sample were separated on the same gel, and normalized to the intensity of the house-keeping gene, Gapdh (36 kDa). Separate gels were individually used for the determination of Lrp1 (85 kDa) and Mrp1 (172 kDa).

Discussion

Being assured that our strategy of using multiple calibration curves circumvented the sample matrix interference problem in the ELISA assay (Fig. 2), we proceeded to define the pharmacokinetics of hAβ40. After intravenous injection, a low biliary clearance (0.00161 ± 0.00124 ml·min−1·kg−1) and even lower (undetectable) renal clearance were noted for hAβ40. The apparent plasma t1/2 and intravenous plasma clearance were 24.5 minutes and 18–22 ml·min−1·kg−1, respectively (Table 1), and these observations are compatible with those in mice (t1/2 = 25.5 minutes) (Shibata et al., 2000) and rats (Saito et al., 1995), in which the t1/2 was 27 minutes, and Vss was 273 ± 59 ml·kg−1. Kandimalla et al. (2005, 2006) reported faster I125-Aβ40 half-lives of 9.2 ± 2.3 and 11.2 ± 5.1 minutes after intravenous administration and longer half-lives of 30 and 50 minutes in a later study (Kandimalla et al., 2007). CLplasma was 10.1 ± 1.2 ml·min−1·kg−1 (Kandimalla et al., 2005, 2006) after intravenous administration of the radioactively labeled peptide and 5.48 ± 0.38 and 4.58 ± 0.57 ml·min−1·kg−1, respectively, in 2- and 25-month-old mice, respectively (Nishida et al., 2009). These smaller clearance values were likely due to radiolabeled metabolites present that contributed to a higher area under the curve. Our data suggest that intravenously injected hAβ40 crosses from plasma into the brain and CSF slowly and that hAβ40, when injected into the rat CSF after intracerebroventricular injection, is detected in the systemic circulation, as found by others (Ghersi-Egea et al., 1996b; Spies et al., 2012; Tarasoff-Conway et al., 2015), suggesting that hAβ40 is able to traverse from the CSF to plasma via the BCSFB, CSF flow, or arachnoid barrier (Fig. 3). A notable observation is the faster t1/2 for plasma but a slightly longer t1/2 for CSF (76 minutes) within 180 minutes in our intravenous studies (Fig. 3). The lower concentrations of hAβ40 in CSF after intravenous dosing agree with other studies, showing that Aβ permeability from plasma into brain (via BBB) or CSF (via k15, BCSFB) is poor (Saito et al., 1995; Poduslo et al., 1999; Kandimalla et al., 2005). Interestingly, reports on intracerebral administration of 125I-Aβ40 concluded that the major clearance pathways are via the BBB or degradation, whereas efflux across BCSFB via bulk transport is diminutive (Shiiki et al., 2004; Yamada et al., 2008; Qosa et al., 2014), and that 125I-Aβ40 administered into CSF via intracerebroventricular diffuses into brain tissue poorly and is cleared from CSF to blood (same for125I-BDNF and 14C-sucrose) (Yan et al., 1994; Ghersi-Egea et al., 1996a,b).

We modeled the intravenous and intracerebroventricular data based on models I, II, and III and variations thereof. In model I (Fig. 1A), the brain compartment is associated with intercompartmental rates constants k14 and k41 at the BBB and k15 and k51 at the BCSFB/choroid plexus, although the return clearance of V5,CSF k51, denotes return from the ventricular CSF (BCSFB), CSF bulk flow, and P-gp efflux at the arachnoid villi (BAB) to the central compartment. Modification of model I with more CSF compartments provided more physiologic relevance but did not improve the fits (Fig. 1). The F scores showed that fixing the volumes (version “A”) or the CSF return clearance terms (V5,CSF·k51, V6,CSF·k61, or V8,CSF·k81) (version “B”) or assignment of physiologic volumes (Davies and Morris, 1993; Yamamoto et al., 2018) did not significantly alter the F score (Table 2). This is because the models, being catenary in nature with interconnections between brain and CSF with plasma, and the brain with CSF rendered more uncertainty/ambiguity. Therefore, we used the prediction plots (Fig. 4; Supplemental Figs. 1 and 2) and established models I and IA as the best models. Model I predicts that P-gp efflux at the BBB (k41) and BAB (k51) is increased by calcitriol treatment. The trend for the 2-fold increase in P-gp protein expression in brain (Fig. 7) is in agreement with model I predictions (Table 3). The influx of hAβ40 by P-gp into the CSF at the choroid plexus (k15) is unimportant since inclusion or deletion of k15 did not alter the fit. However, the model also predicts that calcitriol treatment results in a 3.4-fold increase in k45, the rate constant for transfer of hAβ40 from brain into CSF via the leaky ependymal cells in the ventricles. Model II, although with high CV in the fits, is also acceptable. Model III fits are poor.

Although P-gp protein expression is predominantly expressed apically at the BBB, there is controversy over the localization of P-gp at the BCSFB. Rao et al. (1999) demonstrated the presence of P-gp apically in primary culture of the choroid plexus epithelial cells from 1-week-old neonatal rat’s lateral and fourth ventricles, but others failed to detect P-gp apically at the choroid plexus among rats of different ages (Gazzin et al., 2008; Roberts et al., 2008; Pascale et al., 2011; Yasuda et al., 2013). According to brain anatomy, the choroid plexus is only a portion of the BCSFB. The arachnoid epithelium (arachnoid mater) lining the subarachnoid space where the CSF fills (above the pia mater) constitutes another barrier (Yasuda et al., 2013) and the cranial and spinal arachnoid villi constitute the predominant site of CSF clearance into the venous outflow system (Sakka et al., 2011). Especially when the efflux from BCSFB is slow, the sum of this efflux and CSF flow and efflux of the BAB constitute the return clearance from CSF to the blood compartment, (k51·V5,CSF), which was increased 5.4-fold according to model I (Table 3). It should be noted that other clearance processes also exist, such as degradation processes by microglia and other enzymes (insulin degradation enzyme, angiotensin, and/or endothelin-converting enzyme) (Saido and Leissring, 2012).

With model I being the best and simplest model, the disparity in the t1/2 was explained with simulations based on the slow distribution constants k14, k15, k41, and k51 between plasma and brain/CSF in comparison with the faster constants (k12, k13, k21, and k31) between plasma and peripheral compartments (Supplemental Tables 1 and 2; Table 3). The difference in t1/2 between plasma and CSF within the 180-minute observation period after intravenous injection disappeared at around 600 minutes, revealing the slower terminal γ phase of about 50–60 minutes in plasma that paralleled the t1/2 in CSF and brain after intravenous dosing (Fig. 6). Because of the slow transfer rate constant to brain (k14) or CSF (k15 = 0) as rate-limiting steps after intravenous dosing and k41 and k51 after intracerebroventricular dosing, we noted that the Kp values are different because of differences in AUC∞s in the plasma and CSF (based on simulations) and their dependence on the route of administration (Table 4). We also showed that the specific site of injection of hAβ40 may lead to preferential routes of clearance by the brain, as shown by others (Shiiki et al., 2004; Yamada et al., 2008; Qosa et al., 2014), whether hAβ40 is effluxed across BBB or undergoes brain enzymatic degradation. Substrates administered into brain tissue by intracerebral injections are preferentially cleared via the BBB, whereas substrates given by intracerebroventricular injections into the CSF are preferentially cleared via the BCSFB/BAB and CSF bulk flow. hAβ40 distribution into the CSF is not a measure of BBB permeability but is a measure of transport across the choroid plexus (k15) as well as the arachnoid barrier (k51) and k45, efflux at the ventricular barrier. The CSF is a not a homogeneous space in brain parenchyma, and a substrate injected into CSF will distribute in a pattern stepwise along the ventricles to perfuse brain tissue at the arachnoid villi and ependymal surface of brain or spinal cord and then return to blood.

To conclude, it was shown that matrix interference in the ELISA method was circumvented by appropriate calibration curves prepared in sample matrix. After verification that corn oil did not affect hAβ40 kinetics or concentration-time profile, we established that model I best fit the data from intravenous and intracerebroventricular injections in both untreated and calcitriol-treated rats. Calcitriol treatment altered hAβ40 disposition via the induction of P-gp, increasing efflux at the BBB (increase in k41) and maybe the BAB (increase in k51). Although calcitriol treatment induced P-gp protein expression by 2-fold, other clearance mechanisms may exist, particularly at the arachnoid villi barrier. The model predicts a slow equilibration between plasma and CSF due to slow permeation of hAβ40 to the brain and CSF, but when data were simulated over a long period of time, the t1/2 and levels of hAβ40 in plasma, CSF, and brain all decayed in unison. Under this circumstance, the plasma hAβ40 profile would better reflect that in the brain. Hence, those using plasma hAβ40 as a biomarker by itself or as a ratio with hAβ42 to reflect brain concentrations or AD progression must proceed with caution.

Acknowledgments

We thank our collaborator, InterVivo Solutions Inc., for sharing use of their facility and their contribution to the experiments.

Authorship Contributions

Participated in research design: Peng, de Lannoy, Pang.

Conducted experiments: Peng, Noh, Pan, Saldivia, Serson, Toscan.

Performed data analysis: Peng, Noh, Pang.

Wrote or contributed to the writing of the manuscript: Peng, de Lannoy, Pang.

Footnotes

    • Received February 7, 2020.
    • Accepted July 8, 2020.
  • ↵1 I.A.M.d.L. and K.S.P. co–senior authors.

  • The work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) (K.S.P.). H.B.P. was supported by the Dean’s Scholarship Fund at the Leslie Dan Faculty of Pharmacy.

  • The authors declare no conflicts.

  • https://doi.org/10.1124/dmd.120.090886.

  • ↵Embedded ImageThis article has supplemental material available at dmd.aspetjournals.org.

Abbreviations

Aβ
amyloid β
aCSF
artificial CSF
AD
Alzheimer disease
AIC
Akaike Information Criterion
AUC
area under the concentration-time curve
BAB
blood-arachnoid barrier
BBB
blood-brain barrier
BCSFB
blood-CSF barrier
CL
clearance
CM
cisterna magna
CSF
cerebrospinal fluid
Gapdh
glyceraldehyde-3-phosphate dehydrogenase
hAβ
human Aβ
HFIP
1,1,1,3,3,3-hexafluoro-2-propanol
Lrp1
low-density lipoprotein receptor-related protein 1
LV
lateral ventricle
Mrp1
multidrug resistance-associated protein 1
P-gp
P-glycoprotein
SAS
subarachnoid space
SDB
Standard Dilution Buffer
TBS-T
Tris-buffered saline/Tween 20
WSSR
weighted sum of squared residuals
  • Copyright © 2020 by The American Society for Pharmacology and Experimental Therapeutics

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Drug Metabolism and Disposition: 48 (10)
Drug Metabolism and Disposition
Vol. 48, Issue 10
1 Oct 2020
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hAβ40 Kinetics with Calcitriol Induction of P-gp in Rats

H. Benson Peng, Keumhan Noh, Sophie R. Pan, Victor Saldivia, Sylvia Serson, Anja Toscan, Inés A.M. de Lannoy and K. Sandy Pang
Drug Metabolism and Disposition October 1, 2020, 48 (10) 944-955; DOI: https://doi.org/10.1124/dmd.120.090886

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Research ArticleArticle

hAβ40 Kinetics with Calcitriol Induction of P-gp in Rats

H. Benson Peng, Keumhan Noh, Sophie R. Pan, Victor Saldivia, Sylvia Serson, Anja Toscan, Inés A.M. de Lannoy and K. Sandy Pang
Drug Metabolism and Disposition October 1, 2020, 48 (10) 944-955; DOI: https://doi.org/10.1124/dmd.120.090886
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