World Journal of Pharmaceutical Sciences
ISSN (Print): 2321-3310; ISSN (Online): 2321-3086
Available online at: http://www.wjpsonline.org/
Original Article
Properties of tropolone/γ-cyclodextrin complexes prepared using different methods
Rina Suzuki, Yutaka Inoue*, Isamu Murata and Ikuo Kanamoto
Laboratory of Drug Safety Management, Faculty of Pharmacy and Pharmaceutical Sciences,
Josai University; 1-1 Keyakidai, Sakado-shi, Saitama, 3500295, Japan
Received: 20-06-2017 / Revised Accepted: 05-08-2017 / Published: 02-09-2017
ABSTRACT
The aim of the present study is to evaluate the properties of the inclusion complex of
tropolone (TPN)/ -cyclodextrin ( CD) prepared by cogrinding method and coprecipitation
method. The physical properties of the preparation were evaluated by differential scanning
calorimetry, powder X-ray diffraction, infrared absorption spectra, and 1H-1H NOESY NMR
spectrum. Intermolecular interactions in the solid state were confirmed to be in the molar
ratios TPN/ CD = β/1 and TPN/ CD = 4/1 in the cogrinding method and molar ratio
TPN/ CD = β/1 in the coprecipitation method. In addition, in GM (TPN/ CD = 4/1), two
molecules of TPN were encapsulated in the molecular space formed between CD. Therefore,
it was suggested that different inclusion structures of TPN/ CD complexes were formed
using different preparation methods.
Keywords: Tropolone, Cyclodextrin, Ground mixture, Copreciptate, Molecular interaction
Address for Correspondence: Dr. Yutaka Inoue, Laboratory of Drug Safety Management, Faculty of
Pharmacy and Pharmaceutical Sciences, Josai University; 1-1 Keyakidai, Sakado-shi, Saitama, 3500295,
Japan; E-mail: yinoue@josai.ac.jp
How to Cite this Article: Rina Suzuki, Yutaka Inoue, Isamu Murata and Ikuo Kanamoto. Properties of
tropolone/ -cyclodextrin complexes prepared using different methods. World J Pharm Sci 2017; 5(9): 250261.
This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercialShareAlike 4.0 International License, which allows adapt, share and build upon the work non-commercially, as
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© 2017 World J Pharm Sci
Inoue et al., World J Pharm Sci 2017; 5(9): 250-261
used. For example, in the case of actarit, an
antirheumatic drug, it has been reported that
inclusion complexes of different molar ratios are
obtained using cogrinding and freeze-drying
methods, and the inclusion structures formed by
both the methods are different [13]. Higashi et al.
reported that salicylic acid is encapsulated in the
outer molecular space formed not only within the
cavity of CD, but also between CD [14]. This
specific inclusion mode can be applied for the
development of new medicines in the future. Thus,
elucidating the mechanism of formation of a new
inclusion complex via encapsulation of guest
molecules in the molecular space formed between
CDs is useful in the development of future
products. Authors previously reported that the TPN
derivative HT forms inclusion complexes with α-,
-, and CDs [15, 16].
INTRODUCTION
Tropolone
(TPN,
2-hydroxy-2,4,6cycloheptatriene-1-one) is a non-benzenoid
aromatic compound with a planar seven-member
ring structure, and it is an isomer of benzoic acid.
Notably, TPN has been reported to form intra- and
intermolecular hydrogen bonds and exhibit specific
properties. It possesses pharmacological and
biochemical effects such as antibacterial [1], antiinflammatory [2], antioxidant [3], and antitumor
[4] activities. Owing to these properties, TPN
derivatives colchicine and hinokitiol (HT) have
been applied and studied in various fields as
pharmaceuticals and quasi-drugs [5, 6]. In addition,
the TPN skeleton can be induced to various
compounds, and it would be possible to develop a
wide range of structures as a new pharmacophore
in the pharmaceutical field in the future.
The purpose of this study is to evaluate the
mechanism of TPN/ CD inclusion complex
formation using the space where TPN is formed
between
CDs, using different preparation
methods.
Cyclodextrin (CD) is a cyclic polysaccharide in
which D-glucopyranose is cyclically bound by a α1, 4 bond. It is classified as α-cyclodextrin (αCD),
-cyclodextrin ( CD), and -cyclodextrin ( CD)
according to the number of glucopyranose units,
and these CDs are widely used as host molecules in
the formation of inclusion complex. CDs are
hydrophilic near the edge and on the outside of the
ring, while the interior cavity shows hydrophobic
properties. It is known that a host is capable of
including a guest to form an inclusion complex by
hydrophobic interactions in aqueous solution [7].
The methods for preparing inclusion complexes
include cogrinding [8], coprecipitation [9], freeze
drying [10], spray drying [11], and sealed heating
[12] methods. There are reports that different
inclusion structures are formed depending on the
preparation method, even when the same CD is
MATERIALS AND METHODS
Materials: TPN used as a bulk powder was
purchased from Sigma-ALDRICH Ltd. (Fig.1).
CD was donated by Cyclo Chem Co. Ltd (Tokyo,
Japan) and used after storage at 40°C at a relative
humidity of 82% for 7 days [17]. The moisture
content of CDs was confirmed by coulometric
titration using Karl Fischer moisture meter (CA-06,
Mitsubishi Chemical Co., Ltd). All other reagents
were special grade reagents manufactured by Wako
Pure Chemical Industries, Ltd.
Fig. 1 Chemical Structures of (a) Tropolone (TPN) and (b) -cyclodextrin ( CD)
Preparation of
ground mixture
molar ratios of
respectively, and
mixer to prepare a physical mixture (PM). The
ground mixture (GM) was prepared from the PM.
For each PM, 1 g of material was charged in an
alumina cell and cogrinding was conducted for 30
physical mixture (PM) and
(GM): HT/ CD was weighed at
5/1, 4/1, 3/1, 2/1, and 1/1,
mixed for 1 min using a vortex
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min using a vibration rod mill (TI-500ET, CMT
Co., Ltd) to obtain GM.
1
H- nuclear magnetic resonance (NMR)
measurement: NMR spectra were obtained using a
Varian NMR System 400 MHz (manufactured by
Agilent Technologies). Dimethyl sulfoxide-d6
(DMSO-d6) was used as a solvent, and the
measurement was carried out with a pulse-width of
90°, delay time of 6.4 μs, scan time of 3.723 s, and
128 integration steps at 26°C.
Preparation of humidification: GM was
conditioned and recrystallized by storing in a
desiccator at 40°C and 82% relative humidity in the
presence of a saturated aqueous solution of
potassium chloride.
Preparation of coprecipitate (CP): To 5 mL of
TPN aqueous solution (0.10 mol/L), 5 mL of CD
aqueous solution (0.13 mol/L) was added in
portions, stirred for 6 h at room temperature, and
allowed to stand at room temperature for 24 hours.
Then, the precipitate was separated by filtration and
dried in a desiccator, under vacuum for 24 h at
room temperature.
1
H-1H nuclear overhauser effect difference
spectroscopy (NOESY) NMR measurement: 1H1
H NOESY spectra were recorded using the Varian
NMR System 400 MHz (manufactured by Agilent
Technologies). Using D2O as a solvent, the
measurement was carried out with a pulse-width of
90°, relaxation time 500 ms, scan time 0.500 s, and
cumulative frequency of 256 integration steps at
25°C.
Physicochemical characterization
Differential scanning calorimetry (DSC): The
thermal behavior of samples was recorded using a
differential scanning calorimeter (Thermo plus
Evo, Rigaku). Approximately 2 mg of a sample
was filled in a sealed aluminum pan, and the
measurement was conducted under N2 gas flow rate
of 60 mL/min and heating rate of 5°C /min.
RESULTS AND DISCUSSION
DSC analysis: It has been reported that inclusion
complexes are formed by intermolecular
interactions, resulting in changes in their thermal
behavior [19]. Therefore, thermal behavior of
TPN/ CD complexes was examined by DSC
measurement (Fig. 2). The endothermic peak
derived from the melting point of TPN was
confirmed to be around 57°C in TPN crystals and
ground TPN alone (Fig. 2a, 2b). For PM
(TPN/ CD=β/1), PM (TPN/ CD=4/1), and GM
(TPN/ CD=5/1), an endothermic peak derived
from the melting of TPN crystal was observed at
around 57°C (Fig. 2e-f, 2k). However, for GM
(TPN/ CD=1/1), GM (TPN/ CD=β/1), GM
(TPN/ CD=γ/1), GM (TPN/ CD=4/1), and CP
(TPN/ CD), no endothermic peak derived from the
melting of TPN crystal was observed (Fig. 2g-j, 2l).
In a previous study, it has been reported that
changes in thermal behavior indicate the inclusion
complexes of guest drug and CD in solid dispersion
or the formation of inclusion complexes with
different properties [20]. From the results of DSC
measurement, it was inferred that intermolecular
interaction is formed between TPN and CD. The
low temperature shift of the endothermic peak
derived from the melting of TPN in GM and the
decrease in caloric value were attributed to the
mechanochemical effect caused by the mechanical
energy developed in the grinding method.
Thermogravimetry (TG): The thermal behavior
of the samples was recorded using a differential
scanning calorimeter (Thermo plus Evo, Rigaku).
Approximately 10 mg of a sample was placed in an
aluminum pan, and the measurement was
conducted under N2 gas flow rate of 200 mL/min
and heating rate of 5°C /min.
Powder X-ray diffraction (PXRD): PXRD was
performed on an X-ray diffractometer (MiniFlex II,
Rigaku), and the diffraction intensity was measured
with a NaI scintillation counter. Cu line (30 kV, 15
mA) with a scan speed of 4°/min over the βθ ranges
of 3-35° were used to carry out X-ray diffraction
measurement. The powder sample was filled in a
glass plate so that the sample plane became flat and
measured.
Fourier
transform
infrared
(FT-IR)
spectroscopy: FT-IR absorption spectroscopy of
the samples was performed using the KBr tablet
method and recorded using a spectrometer (FT/IR410, JASCO). The number of integration steps was
32, resolution was 4 cm-1, and measurements were
recorded in the wavenumber range of 4000-400 cm1
. For preparing tablets, potassium bromide (KBr)
was added to the sample at a weight ratio of 1/10
(sample/KBr), mixed, and compressed by a manual
press. Background correction was performed using
KBr only tablet.
PXRD analysis: PXRD measurement was carried
out to investigate the crystalline state of TPN/ CD
in the cogrinding method and coprecipitation
method.
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Fig. 2 DSC curves of TPN/ CD systems
(a) TPN, (b) TPN ground, (c) CD, (d) CD ground, (e) PM (TPN/ CD=2/1), (f) PM (TPN/ CD=4/1),
(g) GM (TPN/ CD=1/1), (h) GM (TPN/ CD=2/1), (i) GM (TPN/ CD=3/1), (j) GM (TPN/ CD=4/1),
(k) GM (TPN/ CD=5/1), (l) CP (TPN/ CD)
Characteristic peaks of TPN were observed at βθ =
14.4°, 25.3° in TPN crystal and ground TPN alone
(Fig. γa, γb). The peak of CD alone was observed
at βθ = 14.4°, 18.γ° (Fig. γc). In PM (TPN/ CD =
β/1) and PM (TPN/ CD = 4/1), diffraction peaks
derived from TPN crystals were observed around
βθ = 14.5°, β4.7°, and diffraction peaks derived
from CD were observed near βθ = 1β.β°, 18.8°
(Fig. 3e, 3f). However, in the case of GM
(TPN/ CD = 1/1), GM (TPN/ CD = β/1), and GM
(TPN/ CD = γ/1), diffraction peaks derived from
the TPN crystal and CD showed a halo pattern
(Fig. 3g-i).
A previous study reported that crystallization
occurs when an amorphous sample is stored in a
humidity-controlled environment [24]. Therefore,
PXRD measurement was performed after GM
(TPN/ CD = β/1) and GM (TPN/ CD = 4/1), which
showed a halo pattern in cogrinding, were stored
under humidity-controlled conditions. Diffraction
peaks derived from TPN and CD were not found in
the diffraction pattern even after crystallization.
The diffraction peaks of humidity-conditioned GM
(TPN/ CD = β/1) and humidity-conditioned GM
(TPN/ CD = 4/1) were approximately βθ = 7.5°,
12.0°, and 16.7° (Fig. 3l, 3m). When inclusion
complexes are formed by tetragonal columnar type
CD, characteristic diffraction peaks are known to
be observed around βθ = 7.4°, 1β.1°, and 16.5°
[24]. In the diffraction pattern of humidityconditioned GM (TPN/ CD = β/1), humidityconditioned GM (TPN/ CD = 4/1), and CP,
diffraction peaks similar to the tetragonal columnar
type structure of CD (βθ = 7.γ°, 1β.0° and 16.5°)
were observed. From the results, it was speculated
that a complex of TPN and CD with a tetragonal
columnar type structure was formed.
It is known that inclusion complexes formed by
cogrinding method become amorphous [21].
During cogrinding with CD, the regularity of the
crystal lattice in the TPN crystal structure is
disturbed and crystallinity declines; thus, there is a
possibility of the complex becoming amorphous or
the mechanochemical reaction progresses to form
inclusion complexes. It was presumed that the
complex might become amorphous in the process
of changing to a different crystalline structure from
the TPN crystal [22, 23].
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Fig. 3 PXRD patterns of TPN/ CD systems
(a) TPN, (b) TPN ground, (c) CD, (d) CD ground, (e) PM (TPN/ CD=2/1), (f) PM (TPN/ CD=4/1), (g)
GM (TPN/ CD=1/1), (h) GM (TPN/ CD=2/1), (i) GM (TPN/ CD=3/1), (j) GM (TPN/ CD=4/1), (k) GM
(TPN/ CD=5/1), (l) GM (TPN/ CD=2/1) after storage at 40ºC and 82% for 7days, (m) GM (TPN/ CD=4/1)
after storage at 40ºC and 82% for 7days, (n) CP (TPN/ CD)
■:TPN, ○: CD, △: tetragonal columnar form
260ºC was confirmed. This weight reduction
corresponded to 98.3% of TPN contained in the
sample. In CP, a weight loss of about 14.7% was
confirmed from around 153-260ºC.
According to the report by Daniel, the weight loss
of drugs observed above 110ºC is considered to be
due to the formation of complexes [25]. It is
considered that the respective weight losses
observed from around 157 ºC in GM and CP were
due to TPN/ CD complex formation. Similar
weight loss was observed in GM (TPN/ CD = β/1)
and CP (TPN/ CD), which suggested the presence
of TPN with the same molecular state. However, in
GM (TPN/ CD = 4/1), two-stage weight loss was
confirmed at 100-178ºC and 178-260°C, indicating
that GM (TPN/ CD = β/1) and TPN had different
molecular states.
TG analysis: TG measurement was carried out to
examine the weight change of TPN molecules
involved in complex formation (Fig. 4). In TPN
alone, around 99% weight loss from the TPN
crystal was confirmed from around 60ºC. In
addition, weight loss of 11.5% in GM (TPN/ CD =
β/1), 6.0% in GM (TPN/ CD = 4/1), and 5.4% in
CP (TPN/ CD) was observed between γ0-100ºC.
These weight losses were presumed to be from the
degree of decrease in the TG curve, which was
suggested to be due to the evaporation of crystal
water or absorbed water of CD. For GM (TPN/ CD
= 2/1), a weight loss of approximately 11.2% was
confirmed from around 157-260ºC. This weight
reduction corresponded to 91.3% of TPN contained
in the sample. For GM (TPN/ CD = 4/1), a weight
loss of approximately 8.0% from around 100178ºC and approximately 9.7% from around 178-
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Fig. 4 TG curves of TPN/ CD systems
(a) TPN, (b) GM (TPN/ CD=2/1), (c) GM (TPN/ CD=4/1), (d) CP (TPN/ CD)
1
H-NMR analysis: From the results of DSC,
PXRD, and TG measurements, intermolecular
interactions in both GM and CP can be inferred.
1
H-NMR spectrum measurement was carried out to
investigate the inclusion molar ratio of CP [26].
The results of the 1H-NMR spectrum measurement
of TPN, CD, GM (TPN/ CD = 4/1), and CP are
shown in Fig. 5. In TPN, a signal derived from the
seven-membered ring hydrogen was observed
around 7.0-7.5 ppm. In CD, signals derived from
hydrogen and hydroxyl groups of the glucose unit
were observed. In CP, signals from TPN and CD
were confirmed respectively. Since the number of
protons of the signal derived from the seven-
membered ring hydrogen of TPN observed around
7.0-7.41 ppm was 1.32, it was shown that the
number of protons per hydrogen atom of TPN in
CP was 0.264. In addition, since the number of
protons of the signal derived from hydrogen
number 1 in the glucose unit of CD was 1, it was
shown that the number of protons per hydrogen
atom of CD was 0.1β5. From this result, it’s can
suggest that when the inclusion molar ratio of CP
was calculated using the formula, the molar ratio of
inclusion complex formation between CD and
TPN was TPN/ CD = β/1 when TPN/ CD = β.15/1
[27].
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E
D
A
C
A-D
B
Tropolone
(a)
2, 4
H
4
6
5HO
O
H
HO
3, 6, 5
OH
2 OH 1
3
H
H
Glucopyranose
(b)
2, 4
(c)
(1.00)
(2.46)
A-D
1
3, 6, 5
2, 4
(d)
9
10
8
(1.00)
(1.32)
A-D
7
6
1
5
(ppm)
3, 6, 5
4
3
2
1
0
1
Fig.5 H-NMR (DMSO-d6) spectra of TPN/ CD systems
(a) TPN, (b) CD, (c) GM (TPN/ CD=4/1), (d) CP (TPN/ CD)
measurement was performed to examine the
molecular state of the inclusion complex (Fig. 6).
FT-IR analysis: From the results of DSC, TG, and
PXRD measurements, intermolecular interaction
between TPN and CD was inferred. FT-IR
spectroscopy is a useful analytical method to
confirm the formation of inclusion complexes in
solid state [28]. Therefore, FT-IR spectrum
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(a)
2998
3198
1613 1545
(b)
1647
% Transmission
2929
3387
(c)
1613
2929
1540
(d)
3387
2929
1613 1545
(e)
3387
2925
(f)
3375
2924
(g)
3365
2925
3361
3800
3300
1543
1612
1543
1611
1643
1610
1700 1500
2800
-1
Wavenumber (cm )
1300
1100
900
Fig. 6 FT-IR spectra of TPN/ CD systems
(a) TPN, (b) CD, (c) PM (TPN/ CD=2/1), (d) PM (TPN/ CD=4/1), (e) GM
(TPN/ CD=2/1), (f) GM (TPN/ CD=4/1), (g) CP (TPN/ CD)
and CP, the absorption peak near 3198 cm-1 derived
from the hydroxyl group (OH stretching vibration)
disappeared. It has been reported that TPN forms a
dimer through intermolecular hydrogen bonding in
its crystal structure [29]. The peak shift observed in
this study was presumed to be due to the cleavage
of intermolecular hydrogen bond forming the TPN
dimer and formation of new intermolecular
interactions between TPN and CD. In general,
CDs incorporate water molecules when guest
molecules are not clathrated. Moreover, the water
molecules and guest molecules in the CD cavity
exchange with each other leading to a stable energy
state during the formation of inclusion complexes
[30]. The peaks derived from crystal water present
inside the CD ring that were confirmed around
1647 cm-1 were lost in GM (TPN/ CD = β/1), GM
(TPN/ CD = 4/1), and CP. Thus, it was inferred
that intermolecular interaction with the guest
molecules was due to the dehydration of water of
crystallization in CD [31].
In the TPN crystal, an absorption peak in the
vicinity of 1613 cm-1 derived from the carbonyl
group (C=O stretching vibration) in the TPN
molecular structure and an absorption peak near
3198 cm-1 derived from the hydroxyl group (O-H
stretching vibration) were observed using FT-IR
(Fig. 6a). In CD alone, a broad absorption peak
derived from hydroxyl group (O-H stretching
vibration) was confirmed between 3800-3100 cm-1
centered on 3387 cm-1 (Fig. 6b). In PM (TPN/ CD
= β/1) and PM (TPN/ CD = 4/1), the absorption
peaks that were derived from carbonyl and
hydroxyl groups in the TPN molecular structure
were similar to that in TPN crystal (Fig. 6c, 6d).
However, the absorption peak in the vicinity of
1613 cm-1 derived from the TPN carbonyl group
(C=O stretching vibration) is 1612 cm-1 in GM
(TPN/ CD = β/1). It was observed that for the
absorption peak in GM (TPN/ CD = 4/1), the wave
number shifted to 1611 cm-1, and the absorption
peak in CP was 1610 cm-1 (Fig. 6e-g). In addition,
in GM (TPN/ CD = β/1), GM (TPN/ CD = 4/1),
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Inoue et al., World J Pharm Sci 2017; 5(9): 250-261
(TPN/ CD = 4/1), it was inferred that the sevenmembered ring of two molecules of TPN is in the
cavity and located near the narrower edge of CD.
Furthermore, since a cross peak between H-2 and
H-4 located outside CD was confirmed, it is
speculated that the remaining two molecules of
TPN were present in the molecular space formed
by CDs. In CP, it was inferred that the sevenmembered ring of TPN is located near the narrow
edges of CD. Since cross peaks were confirmed
between H-A, H-B, H-D, and H-E of TPN and H-5
and H-6 of CD as well as between H-C of TPN
and H-6 of CD, it is assumed that the carbonyl and
hydroxyl groups are located on the narrower edge
side of CD. Higashi et al. reported similar results
using the sealed heating method for salicylic acid
and CD [β4]. In other words, TPN has a planar
structure similar to salicylic acid, and it is not only
included into CD, but also interacts with CD in
the void space between CD molecules. This may
be because of the strong interaction between the
void space and TPN structure. From these results,
can suggest that TPN and CD form inclusion
complexes of different structures due to differences
in preparation methods.
1
H-1H NOESY NMR measurement: 1H - 1H
NOESY NMR measurement was performed to
evaluate the molecular state in aqueous solution
[32].
In GM (TPN/ CD = β/1), a cross peak was
observed between H-A, H-B, H-D, and H-E peaks
derived from the seven-membered ring of TPN and
H-3, H-5, and H-6 peaks of CD (Fig. 7-a). In GM
(TPN/ CD = 4/1), a cross peak was observed
between the H-A, H-B, H-D, and H-E peaks
derived from the seven-membered ring of TPN and
the H-3, H-5, and H-6 peaks located inside CD. In
addition, a cross peak was observed between H-2
and H-4 located outside CD (Fig. 7-b). In CP, a
cross peak was observed between H-A, H-B, H-D
and H-E peaks derived from the seven-membered
ring of TPN and H-5 and H-6 peaks located inside
CD (Fig. 7-c).
From the results of 1H-1H NOESY NMR
measurement, GM (TPN/ CD = β/1) was inferred
to be located near the wide edge of the sevenmembered ring of TPN is a CD. Furthermore,
from the cross peaks between H-6 of CD and H-A
and H-E of TPN, it was suggested that the carbonyl
and hydroxyl groups of TPN were located in the
narrower edge of CD. However, in GM
1
1
Fig. 7-a H- H NOESY NMR spectrum of GM (TPN/ CD=2/1) in D2O
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Inoue et al., World J Pharm Sci 2017; 5(9): 250-261
1
1
1
1
Fig. 7-b H- H NOESY NMR spectrum of GM (TPN/ CD=4/1) in D2O
Fig. 7-c H- H NOESY NMR spectrum of CP (TPN/ CD) in D2O
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Inoue et al., World J Pharm Sci 2017; 5(9): 250-261
Diagram1 Structural view of TPN/ CD complex
(a) GM (TPN/ CD=2/1), (b-1) GM (TPN/ CD=4/1) side view, (b-2) GM
(TPN/ CD=4/1) top view, (c) CP (TPN/ CD=2/1)
an interesting new discovery. As with the salicylic
acid system, it became possible to form a novel
ternary complex. In the future, further elucidation
of the encapsulation mechanism of the drug in the
molecular space formed by these specific CDs
would broaden the use of CD as drug carriers in
pharmaceutical development.
CONCLUSIONS
In this study, revealed the formation of TPN/ CD
inclusion complex using cogrinding and
coprecipitation methods. Owing to the differences
in preparation methods, inclusion complex with
different structures were formed. The molar ratio of
the inclusion complex formed by the cogrinding
method was TPN/ CD = β/1 and TPN/ CD = 4/1
and that by coprecipitation method was TPN/ CD
= 2/1. In addition, in GM (TPN/ CD = 4/1), two
molecules of TPN were encapsulated in the
molecular
space
formed
between
CD.
Encapsulation of drugs in the molecular space
between CDs in the cogrinding method has become
ACKNOWLEDGMENT
The authors are grateful to Cyclo Chem Co., Ltd
for the provision of CD.
Conflict of Interests: The authors declare no
conflict of interests regarding the publication of
this paper.
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