B Grawe1, T Le, S Williamson, A Archdeacon, L Zardiackas. 1. University of Cincinnati College of Medicine, Department of Orthopaedic Surgery, PO Box 670212, 231 Albert Sabin Way, Cincinnati, Ohio 45267-0212, USA.
Abstract
OBJECTIVES: We aimed to further evaluate the biomechanical characteristics of two locking screws versus three standard bicortical screws in synthetic models of normal and osteoporotic bone. METHODS: Synthetic tubular bone models representing normal bone density and osteoporotic bone density were used. Artificial fracture gaps of 1 cm were created in each specimen before fixation with one of two constructs: 1) two locking screws using a five-hole locking compression plate (LCP) plate; or 2) three non-locking screws with a seven-hole LCP plate across each side of the fracture gap. The stiffness, maximum displacement, mode of failure and number of cycles to failure were recorded under progressive cyclic torsional and eccentric axial loading. RESULTS: Locking plates in normal bone survived 10% fewer cycles to failure during cyclic axial loading, but there was no significant difference in maximum displacement or failure load. Locking plates in osteoporotic bone showed less displacement (p = 0.02), but no significant difference in number of cycles to failure or failure load during cyclic axial loading (p = 0.46 and p = 0.25, respectively). Locking plates in normal bone had lower stiffness and torque during torsion testing (both p = 0.03), but there was no significant difference in rotation (angular displacement) (p = 0.84). Locking plates in osteoporotic bone showed lower torque and rotation (p = 0.008), but there was no significant difference in stiffness during torsion testing (p = 0.69). CONCLUSIONS: The mechanical performance of locking plate constructs, using only two screws, is comparable to three non-locking screw constructs in osteoporotic bone. Normal bone loaded with either an axial or torsional moment showed slightly better performance with the non-locking construct.
OBJECTIVES: We aimed to further evaluate the biomechanical characteristics of two locking screws versus three standard bicortical screws in synthetic models of normal and osteoporotic bone. METHODS: Synthetic tubular bone models representing normal bone density and osteoporotic bone density were used. Artificial fracture gaps of 1 cm were created in each specimen before fixation with one of two constructs: 1) two locking screws using a five-hole locking compression plate (LCP) plate; or 2) three non-locking screws with a seven-hole LCP plate across each side of the fracture gap. The stiffness, maximum displacement, mode of failure and number of cycles to failure were recorded under progressive cyclic torsional and eccentric axial loading. RESULTS: Locking plates in normal bone survived 10% fewer cycles to failure during cyclic axial loading, but there was no significant difference in maximum displacement or failure load. Locking plates in osteoporotic bone showed less displacement (p = 0.02), but no significant difference in number of cycles to failure or failure load during cyclic axial loading (p = 0.46 and p = 0.25, respectively). Locking plates in normal bone had lower stiffness and torque during torsion testing (both p = 0.03), but there was no significant difference in rotation (angular displacement) (p = 0.84). Locking plates in osteoporotic bone showed lower torque and rotation (p = 0.008), but there was no significant difference in stiffness during torsion testing (p = 0.69). CONCLUSIONS: The mechanical performance of locking plate constructs, using only two screws, is comparable to three non-locking screw constructs in osteoporotic bone. Normal bone loaded with either an axial or torsional moment showed slightly better performance with the non-locking construct.
To further elucidate biomechanical standard guidelines for diaphyseal
or meta-physeal fracture fixation with non-locking screws and locking
screwsTo investigate the clinical dilemma faced when difficulties such
as limited length for fixation in juxta-articular fractures or fractures
with too short a metaphyseal fragment are encounteredTo specifically determine whether two locking screws, with minimal
spacing, would provide a similar mechanical -performance to the
more traditional -configuration of three non-locking bi-cortical
screws with minimal spacingThe biomechanical capabilities of a two-screw locked construct
is comparable to those of a three-screw non-locked construct in
osteoporotic bone, thus providing adequate fixation of short metaphyseal
segments in juxta-articular fracturesThe main strength is the biomechanical comparison made between
non-locking and locking screws in both normal density bone substrate
and osteoporotic bone substrate, mimicking important clinical scenariosA major limitation of the study included differing plate lengths
of the respective constructs and the relatively small sample size
Introduction
Locked plating techniques are increasingly being used for fracture
fixation, but there is limited fundamental research in the form
of biomechanical comparison studies to guide their usage.[1,2] They may provide improved fixation
in osteoporotic bone and superior bridging of severely comminuted
fractures.[3] Additionally,
locking screws may be used as a fixed angle device for short metaphyseal
fragments and juxta-articular shaft fractures, in which anatomic
constraints limit the uses of compression plating.[3] We are aware of
no available data regarding the fixation strength of locking screws
when used in those clinical scenarios that include limited length for
fixation. The biomechanical comparison of plating strategies differing
in the numbers of non-locking versus locking screws
across a fracture gap has not been investigated. This concept becomes
clinically significant in the setting of short metaphyseal fracture
fragments, when only a shorter plate segment with two screws will
fit based on anatomic or soft-tissue constraints.The suggested benefits of locking plate technology include the
improved biology of fracture healing and improved biomechanics of
fracture fixation.[4] Reduced disruption
of the soft-tissue envelope and periosteal vascular supply are achieved
by locked plating, via minimally invasive plating techniques, as
well as by the ability to achieve stable constructs without relying
on friction at the plate bone interface.[3,5-11] From a mechanical
standpoint, locking plates behave differently in comparison to conventional
constructs. Without the motion at each individual screw-plate junction
that occurs in non-locked constructs, locking constructs can be
modeled as single beam constructs, which are significantly more
stable.[6,11] The type of loading
seen by the bone is also significantly different for non-locked
compared with locked constructs. Non-locked screws generate shear
stress at the bone-screw interface upon axial loading, and the axial force
is countered by a frictional force between the plate and bone. The
frictional force generated leads to the overall stability of the
construct.[3] Locking
constructs, however, subject the bone-screw interface to compressive forces,
by converting shear stress into compression. Since bone is much
stronger in compression, this creates another mechanical advantage
for locking plates, which may be particularly useful for low-density
bone where screw cut out is a problematic failure mode.[4,10,12-14]Currently, there are no accepted biomechanical standard guidelines
for diaphyseal or metaphyseal fixation with non-locking screws.
The number of screws required for adequate fixation may depend on
several factors, including the pattern of fracture, type of stability
required and bone quality.[1,15] The working length
of a plate and screw construct is paramount to stability. This length
can accurately be defined as the distance between the fracture side
and the innermost screw.[2] Previous
studies have demonstrated that reduction of this distance will decrease
strain at the fracture and thereby improve stability of the fixation
construct.[15] Furthermore,
Törnkvist et al[1] were
able to demonstrate that wider spacing of screws, with maintenance
of the working length, was able to procure more stability in terms
of bending strength for plate and screw constructs. Likewise, there
is limited data guiding the use of locking screws in terms of number
and spacing.[7,16,17] Theoretically, superior fixation will
achieve adequate fixation strength with fewer screws. Clinically,
surgeons are often faced with limited length for fixation in juxta-articular
fractures or fractures with short a metaphyseal fragment. The purpose
of this investigation was to determine whether two locking screws,
with minimal spacing, would provide a similar mechanical performance
to the more traditional configuration of three non-locking bicortical
screws with minimal spacing. Furthermore, testing of this objective
was carried out in bone substrates of differing porosities (mimicking
normal and osteoporotic bone). The null hypothesis was that no significant
differences would be observed in axial bending and torsional loading
properties between the locked and non-locked constructs.
Materials and Methods
Synthetic foam bone cylinders (Pacific Research Laboratories,
Vashon, Washington) were used to simulate normal and osteoporotic
bone. The synthetic models were 20 mm in diameter, and consisted
of a polyurethane foam-filled cylinder with a 2 mm thick epoxy shell.
Standard models of two densities were used: an approximate density
of 1.64 g/cm3 to simulate normal bone, and an approximate
density of 0.5 g/cm3 to simulate osteo-porotic bone.
Density was the only difference between the two bone substituting
materials. A cylinder length of 10 cm was used on both sides of
the simulated fracture gap of 1 cm. Polyurethane foam was chosen
to minimise the overall variability of bone substrate, as the purpose
of this experiment was to compare the stability of different fixation
methods.[18] Previous
studies have used foam models in order to eliminate the structural
variability in human bone.[19-21] Two constructs
were used, a locking screw construct with two locking screws on
either side of the fracture (5-hole LCP Combi plate; Synthes, Paoli, Pennsylvania)
and a non-locking screw construct with three screws on each side
(7-hole LCP Combi plate; -Synthes). Both implants were manufactured
from steel. In order to replicate intra-operative procedures and
achieve reproducibility, locking screws were torqued to 1.5 Nm using
a self-limiting torque screwdriver. Non-locking screws were hand-tightened
by a single surgeon (TL), and purchase was judged according to the
surgeon to gain as much friction as possible between the plate and bone.
This protocol was consistent with previously published data comparing
locking and non-locking fixation constructs in a sawbones model.[15,22-24] The
aim was to investigate a relatively shorter plate with fewer screws compared
with a more traditional plate fixation with maximum screw purchase,
while still maintaining a uniform working length between constructs.[2,25]Two tests were undertaken to assess fatigue characteristics:
torsional load and eccentric axial moment (axial + bending) load.
These tests were undertaken using an MTS Bionix 858 load frame (MTS
Systems, Eden Prairie, Minnesota). In order to test five samples
for each individual model configuration of density (1.64 g/cm3
versus 0.5 g/cm3),
construct (locking versus non-locking) and specific
test (torsional versus eccentric bending), a total
of 40 samples were used (Fig. 1). This sample size was chosen to
reflect previously reported data regarding ex vivo biomechanical
comparisons of different fixation constructs.[15,22-24] Photographs
were taken of each sample showing the plate and the end of the screws,
in order to document plate alignment and the initial 1 cm gap. Pilot destructive
tests for each group were performed to determine the initial cyclical
load to failure within a feasible number of cycles. Using this data,
a pre-load of 100 N was selected; this load was within the elastic
portion of the stress curve generated by pilot testing. A major
objective of the study was to investigate the biomechanical properties
of two separate constructs, in both eccentric axial bending and
torsion, and the two different test formats were designed to test
two different modes of failure.[26,27]Schematic illustration of the distribution
of specimens for testing.
Eccentric axial loading
Eccentric test specimens were loaded in bending fixtures under
load control and pre-loaded to 100 N. Progressive cyclic load testing
was performed in 10 cycle blocks, at a rate of 0.1 Hz, in load--control
starting at 150 N with a 10 second rest period after each 10 cycle
block. The upper load was increased by 50 N after each 10 cycle
block until failure, while the lower load remained 100 N throughout
the test (Fig. 2). Thus, allowing appropriate qualification of which
construct would display superior biomechanical properties during
fatigue model testing. The tests were run until -failure (failure
of bone at the plate/screw interface, screw pull-out, or failure of bone outside of the plate) or until the
plate bent enough for the synthetic bone cylinders to touch. Load
(N), displacement (mm), number of cycles and time (s) were assessed
using MTS software. The mode of failure, maximum displacement, number
of cycles to failure, load at failure, and maximum load were recorded.
Load versus time and displacement versus time graphs
were created from the data.Photograph showing eccentric bending
of the five-hole plate fixed with locking screws. Constructs were
tested cyclically until failure with the MTS Bionix frame.
Torsional testing
Torsional test samples were loaded into an alignment fixture
and lowered into a testing pot, in load control, and cemented using
Whip-mix Snap-Stone (Whip-mix Corporation, Louisville, Kentucky).
A 3/8 inch hole was drilled through the end of each normal bone
cylinder perpendicular to the plate to allow the stone to enter
into the cavity and prevent slipping during testing. After curing,
the bottom pot was attached to the upper fixture and lowered with
load control into the other testing pot (Fig. 3). The sample was
pre-loaded to 100 N and cemented. Torsional testing was performed in
rotation control at 10°/min under a constant axial load of 100 N
until failure or a machine limit of 100°, and tested in a static
cyclic fashion. Failure was determined to be either breaking of
the synthetic bone cylinders or pulling out of the screws. Torque
(Nmm), rotation (°), time (s), and load (N) was collected using
MTS software. Failure mode, maximum torque, maximum rotation, 2°-offset
torque, 2°-offset rotation and modulus were calculated and reported.
In this way, the calculated modulus is an accurate measure of the
construct’s stiffness as a result of the torsional load being a
uniaxial stress. Torsion versus rotation graphs
were created for each sample.Photograph showing the pre-test setup
of the torsion testing model. The construct was secured with an
alignment fixture and cemented into a potting apparatus.
Statistical analysis
The non-parametric Wilcoxon test was used to compare results
between the non-locking and locking constructs. A two-sided p-value
of 0.05 was used to determine if any significant difference was
present between the two groups for any of the measured variables.
Results
In the normal density bone model, the locking construct withstood a median of 91 cycles (sd 7)
to failure, whereas the non-locking construct failed after a median
of 105 cycles (sd 3), a difference that reached statistical
significance (p = 0.02). However, there were no significant differences
between the locking and non-locking constructs in terms of median
maximal displacement (3.99 mm (sd 1.4) versus 2.40
mm (sd 0.5), respectively; p = 0.22) or maximal load at
failure (641 N (sd 22) versus 626 N (sd 40),
respectively; p = 1) (Table I).Results of eccentric bending parameters
for the locking and non-locking constructs* Wilcoxon exact testEccentric axial loading in the osteoporotic bone model revealed
a statistically significant difference between the locking and non-locking
constructs in terms of maximal displacement, with the locking plate displaying
less displacement (1.44 mm (sd 0.2) versus 1.88
mm (sd 0.4); p = 0.02). There were no significant differences
between the locking and non-locking constructs in terms of median
cycles to failure (51 (sd 7) -versus 52
(sd 1.7), respectively; p = 0.46) or maximal load (306
N (sd 55) -versus 326 N (sd 10),
respectively; p = 0.69) (Table I).
Torsion testing
Torsional testing of the different constructs, in the normal
bone model, demonstrated the locking
plate to have both a significantly lower stiffness (modulus) and
ability to withstand torque (both p = 0.03). The overall stiffness
of the locking plate obtained a median value of 370.9 GPa (sd 55)
with an ability to withstand torque of 9044 Nmm (sd 715),
in contrast to the stiffer non-locking construct values of 461.7 GPa
(sd 9) and 10 632 Nmm (sd 728). Rotation, and
thus angular displacement, was similar in both constructs during
torsional testing in the normal bone model (Table II).Results of torsion testing parameters
for the locking and non-locking constructs* Wilcoxon exact testIn the osteoporotic bone model, there were differences in the
respective constructs ability to withstand torque, demonstrated
in rotation at maximal torque (p = 0.008). Specifically, the locking
construct displayed a significantly superior ability to withstand
torque. However, during torsion testing in the osteoporotic bone
model both the locking plate construct and the non-locking plate construct
demonstrated statistically similar stiffness (130.7 GPa (sd 4.3) versus 143.2
GPa (sd 16), respectively; p = 0.69) (Table II).
Mode of failure
The mode of failure of each specimen tested was photographed,
recorded and categorised. The four categories included: 1) plate
bending, 2) bone failure at the screw, 3) screw pull-out, and 4)
failure of bone outside of the plate (edges of the fracture gap
in contact). During axial bending both constructs failed an equal number
of times, when either the plate deformed or the bone failed at the
screw. Failure during torsional testing was also symmetric. Both
constructs failed an equal number of times when the bone failed
outside of the plate, and failure as a result of screw pull-out
was comparable for both constructs (Table III).Modes of failure for the 40 samples
by test, construct and density (L, locking construct; NL, non-locking
construct)
Discussion
The data presented in this study indicates that the initial null
hypothesis may be rejected, as there were definable and significant
biomechanical differences between the locking and non-locking constructs.
More specifically, the biomechanical performance of two locking screws across each side of a fracture
gap in the normal bone model is not comparable to the performance
of three non-locking screws. Key differences in performance were
noted between constructs in both cyclic eccentric axial bending and
torsional testing. In the normal density bone model, the non-locking
construct displayed biomechanically superior results when compared
with the locking construct, surviving more cycles until failure
(eccentric loading), displaying a stiffer modulus and demonstrating
a superior ability to withstand torque. However, in the osteoporotic
bone model, the locking construct displayed superior biomechanical
results. In this model, after eccentric axial bending, the locking
construct exhibited less displacement of the fracture gap and demonstrated
a superior ability to endure torque during torsional testing.However, the respective constructs did not reveal completely
disparate properties. In fact, in the normal bone model the differing
constructs displayed similar endurance of maximal loads and displacement
of the fracture gap during eccentric axial bending. Similarly, in
the osteoporotic bone model there were no significant differences
between the constructs regarding cycles to failure, maximal load
or overall stiffness. Therefore, the two constructs were relatively
comparable in the osteoporotic bone model. Moreover, the constructs
demonstrated very similar modes of failure throughout the testing
process.Previously reported data, directly comparing non-locking constructs
with locking constructs, has shown mixed results. Less invasive
stabilisation system (LISS) plate constructs were among the first
to be tested for biomechanical properties. Gösling et al[24] compared proximal
tibial LISS plates with conventional double plating using cadaveric
tibiae axially loaded to 400 N, 800 N, 1200 N, and 1600 N for five
cycles at each load. Plastic vertical subsidence demonstrated no
significant difference between the two constructs.[24] In a similar manner,
Peindl et al[22] axially
loaded synthetic tibiae and found that conventional double plating
constructs were much stiffer than a lateral proximal tibial locking
plate, a peri-articular plate or an external fixator construct,
but there was no significant difference between the latter three.Other studies have focused on the biomechanical properties of
locked plating constructs with
regard to screw configuration. These studies have also investigated
biomechanical differences between locking plate constructs and non-locking
plate constructs, but have mainly centered on fixation of diaphyseal
fractures. Ehmke[28] used foam
models with a 1 cm fracture gap fixed with a 10-hole LCP using three
non-locked, three locked unicortical, or three locked bicortical
screws tested in torsion, axial compression, and four-point bending
under progressive dynamic loading. Failure was primarily due to
fracture through the foam. However, the clinical importance of this
study may be limited by the loading design, which did not replicate
the observed clinical failure mode of pullout due to fatigue.[28] A cadaver radius
model was used by Gardner et al[29] to
study locking versus non--locking behavior in AP
bending, mediolateral bending and torsion. Their results showed
significantly more torsion cycles to failure in the locking group
and less energy absorbed in the AP bending, but all of the other
tested outcomes showed no difference.[29] Fulkerson et al[18] reported results
of testing foam models in cyclic axial loading followed by cyclic
cantilever loading, and showed significantly more cycles to failure
in bicortical locked constructs compared with unicortical locked
or bicortical unlocked constructs.Still, biomechanical studies investigating the basic properties
of locking plates are very limited in number. Stoffel et al[17] tested locking
plate constructs using foam cylinders and large fragment locking
plates. The effect of bridging length and number of screws placed
in the construct were tested by measuring axial stiffness and torsional
rigidity, as well as by testing to fatigue failure. Since axial
stiffness was mainly influenced by plate length and torsional rigidity
was mainly influenced by number of screws, the authors recommend
that fractures of the lower extremity, where axial forces predominate,
can be treated with two or three screws on each side of the fracture.[17] Upper extremity
fractures, where rotational forces predominate, should be treated
with three to four screws on each side of the fracture.[17]There are several limitations of the current study. One limitation
common to all biomechanical studies is the inability to incorporate
the effect of fracture biology in vivo. The effects
of fatigue are likely to be dampened by the ongoing healing process.
However, a synthetic model was chosen to limit the variability encountered
within human cadaver models. Furthermore, the purpose of this study was
to directly investigate the mechanical stability of differing constructs,
and differences in bone quality would have raised a substantial
confounding variable.[18,30,31] Secondly, this study is also limited
by a small sample size. Study design and sample size allocation
was modelled after previously published biomechanical data comparing
locking and non-locking constructs. These studies had used samples
of a similar size.[13,15,22,24,29] In addition, a
post-hoc statistical analysis of our data was performed using the
non-parametric Wilcoxon test. We were able then to assess for significance
by using a cut-off p-value of less than 0.05 to determine if our
measured variables differed in a statistically significant fashion.
Final limitations of the study are design of the constructs and
construct testing. Non-locking screws were tightened by hand at
the discretion of the surgeon without the aid of a torque screwdriver;
uniformity was maintained through a single surgeon.[15,22,23] Plate
lengths of the two constructs also differed. The lengths were chosen
to mimic clinical scenarios in which the respective number of minimally
spaced screws would be used in conjunction with either a 7- or 5-hole
plate. Although the lengths of the plates were not uniform, a uniform
working length was maintained, and an appropriate comparison between
constructs can still be made.[25] Biomechanical properties
were tested in a somewhat dissimilar fashion, progressive axial
bending and static torsion. However, two different testing format
designs were required to separately investigate the two different
modes of failure in the respective constructs. Future studies are
needed to control for these limitations, and should include the
testing of hybrid plate designs and newer plate designs intended
to accommodate for short metaphyseal fracture fragments.In summary, this study may suggest that the bio-mechanical capabilities
of a two-screw locked construct is comparable to a three-screw non-locked
construct in osteoporotic bone, thus providing adequate fixation
of short metaphyseal segments in juxta-articular fractures. These
results may suggest that when surgeons are faced with the clinical
dilemma of anatomic restriction preventing standard fixation, the
biomechanical properties of two locking screws alone are equivalent
to the performance of three non-locking screws in osteoporotic bone.
Normal bone loaded in both torsion and axial bending, however, showed
slightly better performance with the non-locking construct. These
results are not intended to be used in isolation but rather as part
of the growing body of research into locking plate constructs. Accepted
indications for the use of locking plate fixation include: 1) fractures
of osteoporotic bone; 2) highly comminuted fractures, especially those
involving diaphyseal and metaphyseal bone; and 3) metaphyseal and
intra-articular fractures such as proximal humerus and distal radius
fractures.[10,32]Based on this study, osteoporotic fractures that are restrained
by limited space available for fixation can be adequately fixated
with two locking screws opposite each side of the fracture gap.
However, in bone of normal physiologic density, three non-locked
bicortical screws, on either side of the fracture gap, should remain
the standard of care.
Table I
Results of eccentric bending parameters
for the locking and non-locking constructs
Median measure (sd)
Locking
construct
Non-locking
construct
p-value*
Normal model
(1.64 g/cm3)
Maximal displacement (mm)
3.99 (1.4)
2.40 (0.5)
0.22
Number of cycles
91 (7)
105 (3)
0.02
Load (N)
619 (110)
550 (73)
1
Maximal load (N)
641 (22)
626 (40)
1
Osteoporotic model
(0.5 g/cm3)
Maximal displacement (mm)
1.44 (0.2)
1.88 (0.4)
0.02
Number of cycles
51 (7)
52 (1.7)
0.46
Load (N)
303 (57)
325 (9)
0.25
Maximal load (N)
306 (55)
326 (10)
0.69
* Wilcoxon exact test
Table II
Results of torsion testing parameters
for the locking and non-locking constructs
Median measure (sd)
Locking -construct
Non-locking construct
p-value*
Normal model
(1.64 g/cm3)
Rotation 2° offset (°)
22.37 (3)
23.83 (3.4)
0.84
Torque 2° offset (Nmm)
9044 (715)
10 632 (728)
0.03
Rotation at maximum torque (°)
45.07 (6.7)
43.44 (12.7)
0.84
Maximum torque (Nmm)
12 115 (486)
13 310 (1123)
0.06
Modulus (GPa)
370.9 (55)
461.7 (39)
0.03
Osteoporotic model
(0.5 g/cm3)
Rotation 2° offset (°)
18.98 (3)
14.78 (2.85)
0.10
Torque 2° offset (Nmm)
2223 (345)
1688 (212)
0.10
Rotation at maximum torque (°)
49.98 (5.7)
58.24 (6)
0.008
Maximum torque (Nmm)
3463 (1800)
4507 (327)
0.15
Modulus (GPa)
130.7 (4.3)
143.2 (16)
0.69
* Wilcoxon exact test
Table III
Modes of failure for the 40 samples
by test, construct and density (L, locking construct; NL, non-locking
construct)
Authors: Michael J Gardner; Robert H Brophy; Deirdre Campbell; Amit Mahajan; Timothy M Wright; David L Helfet; Dean G Lorich Journal: J Orthop Trauma Date: 2005-10 Impact factor: 2.512
Authors: Kenneth A Egol; Erik N Kubiak; Eric Fulkerson; Frederick J Kummer; Kenneth J Koval Journal: J Orthop Trauma Date: 2004-09 Impact factor: 2.512
Authors: Guilherme Seva Gomes; Ivan Zderic; Marc-Daniel Ahrend; Kodi E Kojima; Peter Varga; William Dias Belangero; Geoff Richards; Simon M Lambert; Boyko Gueorguiev Journal: Biomed Res Int Date: 2021-03-06 Impact factor: 3.411