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Transcript
ARTICLE
Topographic Cues of Nano-Scale Height Direct
Neuronal Growth Pattern
Koby Baranes,1,2 Nathan Chejanovsky,2,3 Noa Alon,1,2 Amos Sharoni,2,3 Orit Shefi1,2
1
Faculty of Engineering, Bar Ilan University, Ramat Gan 52900, Israel;
telephone: þ972-3-5317079; fax: þ972-3-7384051 (O.S.); e-mail: orit.shefi@biu.ac.il
2
Bar Ilan Institute of Nanotechnologies and Advanced Materials, Ramat Gan, Israel
3
Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel;
telephone: þ972-3-7384516; fax: þ972-3-738-4054 (A.S.); e-mail: [email protected]
Received 9 November 2011; revision received 1 January 2012; accepted 5 January 2012
Published online in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/bit.24444
ABSTRACT: We study the role of nano-scale cues in controlling neuronal growth. We use photolithography to
fabricate substrates with repeatable line-pattern ridges of
nano-scale heights. We find that neuronal processes, which
are of micron size, have strong interactions with ridges even
as low as 10 nm. The interaction between the neuronal
process and the ridge leads to a deflection of growth direction and a preferred alignment with the ridges. The interaction strength clearly depends on the ridges’ height. For
25 nm ridges approximately half of the neuronal processes
are modified, while at 100 nm the majority of neurites
change their original growth direction post interaction. In
addition, the effect on growth correlates with the incoming
angle between the neuronal process and the ridge. We
underline the adhesion as a key mechanism in directing
neuronal growth. Our study highlights the sensitivity of
growing neurites to nano-scale cues thus opens a new avenue
of research for pre-designed neuronal growth and circuitry.
Biotechnol. Bioeng. 2012;xxx: xxx–xxx.
ß 2012 Wiley Periodicals, Inc.
KEYWORDS: neuron growth; photolithography; nerve
guide; topographic cues; nano-scale ridges; cell culture
Introduction
The ability to manipulate neuronal growth has great
implications for both neuronal repair and for the potential
design of modern computational devices (Biggs et al., 2010;
Cheran et al., 2008; Wheeler and Brewer, 2010). Previous
studies have identified processes that take place along
neuronal growth and influence the geometry of the neuronal
dendrites and axons, which show extremely diverse complex structures. A key mechanism is the ability of the
Correspondence to: A. Sharoni and O. Shefi
Contract grant sponsor: EU-FP7 People IRG Grants
Contract grant numbers: 239482; 268357
ß 2012 Wiley Periodicals, Inc.
sensory-motile growth cones at the tips of growing processes
to measure environmental cues (Huber et al., 2003; TessierLavigne and Goodman, 1996; Whitington, 1993).
The most well-studied guidance cues are spatial
concentration gradients of chemo-repelling and chemoattracting molecules, mainly for target recognition, many of
which have been identified (Huber et al., 2003). A second
potent environmental cue for the control of cell adhesion,
migration, orientation, and shape, is the topography of the
substrate (Clark et al., 1990; Curtis and Wilkinson, 1997;
Kim et al., 2010). It was shown that neuronal outgrowth is
significantly affected by the topography of the substrate that
interacts with the cell (Anava et al., 2009; Clark et al., 1990;
Curtis and Wilkinson, 1997; Rico et al., 2004; Shefi et al.,
2004). Intracellular investigations of down-stream effectors
revealed a major class of cell adhesion molecules that are
involved in the axonal guidance (Rico et al., 2004). A
recently developed paradigm for growth cone guidance is
the ‘‘substrate-cytoskeletal coupling’’ model (Suter and
Forscher, 2000). According to this model, growth cones can
move forward if they are capable of coupling intracellular
motility signals to a fixed extracellular translocation
substrate via cell surface adhesion receptors. These receptors
must form a strong linkage between the substrate and the
actin cytoskeleton, allowing to pull the growth cone forward
(Suter and Forscher, 2000).
Topographic structures such as grooves and ridges were
found to affect the direction of axonal growth when these
structures were of micron sizes (Britland et al., 1996; den
Braber et al., 1998; Fricke et al., 2011; Hwang et al., 2009; Lee
et al., 2007; Mahoney et al., 2005). Enhanced guidance of
rat DRG nerve cells extension was observed using parallel
adhesive tracks of micron-scale (Britland et al., 1996). In
another study photolithography techniques were used to
fabricate micron-scale features of linear, dashed and zigzag
patterns, which modified the axonal outgrowth (Lee et al.,
Biotechnology and Bioengineering, Vol. xxx, No. xxx, 2012
1
2007). Since the structures were of micron size, a similar
scale as the axons, initially, nano-sized features were not
expected to modify cell behavior. However, current studies
have shown that neurons can interact closely with features of
few hundreds of nanometers. Vertical nanopillars protruding from a flat surface serve as focal adhesion points and
non-invasively inhibit migration of neurons on the substrate
(Xie et al., 2010). Nanowires and lithography-based patterns
have been used for both positioning neurons and for
directing axonal growth (Dos Reis et al., 2010; Fozdar et al.,
2010; Hallstrom et al., 2007; Hanson et al., 2009; Johansson
et al., 2006; Prinz et al., 2008). In addition to orientation and
adhesion effects, micron- and nano-topographic features
were also found as modifying the neuronal branching tree
length (Fozdar et al., 2010; Mahoney et al., 2005).
In this study we quantitatively examine the interactions
between single neurons and topographic cues of six heights,
from 150 nm and down to 10 nm. Neurons of the medicinal
leech that can grow at extremely low densities are plated
atop substrates with line-pattern ridges. We define the
distance between the lines large enough to allow analysis of
single line–single axon interaction. We find that axons show
interactions with the patterns at all six heights, even for
10 nm high ridges. For the heights measured, the interaction
strength depends linearly on ridges’ height and also on the
incoming angle between the axon and the ridge. We propose
a model where the strength of interaction correlates with the
ridge surface that serves as an anchor for the neuronal
membrane. Thus, we underline the adhesion as a key
mechanism in directing neuronal growth.
Materials and Methods
Figure 1. Pattern fabrication process. A: Glass slides are cut into squares of
1 1 cm2. B: Photoresist S1813 is spin-coated on top of the glass. C: Photolithography—The sample is exposed to UV through the predesigned contact mask, placed on
top. Lines are defined in the photoresist. The sample is then developed. D: Layers
of V2O5 on top of Ni are deposited on the sample via magnetron sputtering. E: Liftoff—
The non-patterned photoresist with excess sputtered layers are removed leaving the
mask pattern on top of the sample. F: Neurons are plated on the sample and placed in a
culture dish with growth medium.
layer (direct current sputtering at a rate of 2.76 nm/min)
followed by vanadium pentoxide (V2O5) layers of various
thicknesses, between 5 to 145 nm (reactive radio frequencysputtering, 3.6% O2 in Ar, at a rate of 2.1 nm/min) (Fig. 1D).
We use V2O5 since it is insulating and transparent. All
depositions are performed in 3 mTorr pressure. Finally, the
non-patterned photoresist is removed by soaking the sample
in acetone for an hour (Fig. 1E). Using the same procedure
we create also control patterns with only the 5 nm thick
Nickel (Ni) layer or V2O5 coated glass substrates with no
patterning.
Substrates Fabrication
The patterns are prepared on precut glass slides 1 1 cm2
(Fig. 1A). The glass substrates are ultrasonically cleaned
using acetone (10 min)/ethanol (10 min)/isopropanol
(10 min), and dried by high purity nitrogen. Lines are
fabricated by standard photolithography methods. S1813
(Shipley Company LLC, Marlborough, MA) resist is spin
coated on the glass substrate at 5,000 rounds per minute for
60 s, and baked at 1158C for 75 s (Fig. 1B). Next, using a
mask aligner and predesigned photo-mask, the line pattern
is transferred to the resist. The exposure wavelength is
365 nm, and exposure time 5 s (Fig. 1C). It is then developed
for 45 s in MF-319 (Rohm and Haas, Philadelphia, PA) and
afterwards washed in distilled water for 45 s to stop the
developer. The sample is then dried and cleaned using
nitrogen gas.
Our pattern consisted of lines size 3 45 mm2 with lateral
spacing of 6 mm and vertical spacing of 30 mm, covering a
total area of 6 6 mm2.
The samples are transferred to the deposition chamber
(base pressure of 1 108 torr) where they are cleaned in Ar
plasma prior to deposition. We deposit a 5 nm Ni adhesion
2
Biotechnology and Bioengineering, Vol. xxx, No. xxx, 2012
Cell Culture
Neurons are isolated from the central nervous system of
adult medicinal leeches Hirudo medicinalis. Leeches are
anaesthetized in 8% ethanol in leech Ringer (115 mM Nacl2,
1.8 mM CaCl2, 4 mM KCl, 10 mM Tris maleate, pH 7.4)
before dissection. Nerve cords are dissected and ganglia are
removed and pinned on Sylgard-184 petri dish. Then,
ganglia are treated enzymatically with 2 mg/mL Collagenase/
Dispase enzyme solution (Roche, Mannheim, Germany) for
1 h at room temperature. Next, ganglia capsules are opened
to expose the cells. Neuronal cells are rinsed and plated on
the different substrates. Neurons out of three ganglia (total
of 1,200 cells in a volume of 100 mL) are plated on each
substrate. A day after plating 2 mL of enriched medium is
added to the cultures (Leibovitz L-15 supplemented with
6 mg/mL glucose, 0.1 mg/mL gentamycin, 2 mM/mL glutamine, and 2% fetal bovine serum). As for control, neurons
are plated on substrates of glass, V2O5 and Ni with no
deliberate topography. All patterned and non-patterned
substrates are pre-coated for 2 h at 378C with Concanavalin-A
(Con-A) (Sigma-Aldrich Co., Saint Louis, MO, 0.5 mg/mL)
to obtain uniform growth conditions on both glass and
V2O5 substrates. Plates are kept in a 258C incubator for up to
2 weeks. Usually measurements are performed between days
3 and 7.
Immunocytochemistry
Primary neuronal cultures are fixed with 4% paraformaldehyde for 10 min at room temperature, washed with
phosphate-buffered saline (PBS) and permeabilized with
0.5% Triton X-100 in PBS (PBT) for 10 min. Then cultures
are incubated in a blocking solution (containing 1% bovine
serum albumin (BSA) and 1% normal donkey serum (NDS)
in 0.25% PBT) for 45 min. Next, cultures are incubated with
a rabbit antibody to a-tubulin (Santa Cruz Biotechnology,
Inc., Santa Cruz, CA) overnight at 48C. The cultures
are rinsed with PBT and incubated for 45 min at room
temperature with Cy3-conjugated AffiniPure Donkey Antirabbit secondary antibody (Jackson ImmunoResearch
Laboratories, Inc., West Grove, PA). After incubation,
cultures are rinsed with 0.5% PBT and mounted in an
aqueous mounting medium.
Confocal imaging is performed using Leica TCS SP5
with Acousto-Optical Beam Splitter microscope to acquire
fluorescent and bright field images.
in the different height groups, Chi-squared statistic is
performed resulting in a Chi2 and a P-value (significant
levels of 0.0001). The nature of growth on bare substrates
with no patterns is taken into account in order to correct the
measurement of ‘‘affected processes,’’ using a virtual set of
lines, as described in the Results Section.
Results
Non-Patterned Substrates
A day after plating, neurons are already attached to the
substrates and neurites have initiated out of the soma to
develop into a neuronal branching tree. Neurons that are
grown atop the control substrates, with no topographic cues,
extend processes with no preferred outgrowth direction (see
Fig. 2). Figure 2A presents a single neuron growing on a bare
glass substrate, pre-coated with Con-A. Several neurites
originate from the round soma, grow radially and bifurcate
into sub-daughter branches, forming a complex dendritic
tree in all directions. Figure 2B demonstrates an undirected
growth of two neurons on non-patterned samples fully
coated with V2O5. Similar unbiased growth has been
detected for the fully coated Ni substrates (not shown).
Scanning Electron Microscopy
Line-Patterned Substrates
To closely examine the neuron-ridge interaction neurons are
imaged by a Scanning Electron Microscope (SEM). Several
days after plating, neurons are fixed with 2% gluteraldehyde
in PBS (no Ca3þ, no Mg3þ, pH 7.2) for 1 h at room
temperature. After fixation cultures are repeatedly rinsed in
PBS and then treated with Guanidine–Hcl:Tannic acid (4:5)
solution (2%) for 1 h at room temperature. Cultures are
repeatedly rinsed again in PBS, dehydrated in graded series
of ethanol (50%, 70%, 80%, 90%, and 100%) and finally
with graded series of Freon (50%, 75%, 100% 3). Finally,
the preparations are sputtered with carbon before examination by scanning electron microscopy (Inspect, FEI,
Hillsboro, OR).
Neurons that are plated on line-patterned substrates have a
significantly different growth pattern (see Fig. 3A and B).
They develop branching trees that are highly aligned with
the nano-scale topographic cues. The neuronal processes
that navigate onto the substrates tend to attach to the ridges
and outgrow along the lines. Thus, the structure of the
whole neuronal branching tree is modified, leading to a
more longitudinal shape. We find that the neuronal
processes are modified by the line patterns for all six
heights, that is, there is a clear effect even for 10 nm high
Statistical Analysis
Data analysis is performed using a semi-automatic selfprogrammed software (Matlab, Mathworks, Inc., Natick,
MA). For the analyses a minimum of three plates are
considered for each pattern size. Over 100 processes are
measured for each patterned substrate height and 300 for
the control.
The measurements of the effect of the substrates on the
neuronal growth are summarized into a probability bar
chart. For each height group the percentage of ‘‘affected
processes’’ (defined in the Results Section) out of the total
processes is calculated. Error bars represent standard errors.
In order to test frequency differences of affected processes
Figure 2. Leech neurons growing atop control substrates pre-coated with
Con-A. A: A neuron 2 days after plating growing on a glass substrate pre-coated
with Con-A. No preferable growth direction can be detected. B: Two neurons on top
of a V2O5 substrate a week after plating.
Baranes et al.: Nano-Scale Cues Direct Neuronal Growth
Biotechnology and Bioengineering
3
Figure 3.
Leech neurons growing on patterned substrates pre-coated with Con-A. A: Phase microscopy image of a single neuron growing on top of a substrate with line
pattern ridges of 25 nm height. The neuronal branches attach to the ridges and the whole growth pattern is aligned according to the topographic cues. B: A confocal microscopy
image of an immunostained neuron (a-tubulin) growing onto ridges of 50 nm height. The ridges do not appear in the fluorescent image, their locations are marked. Most of the
neurites are affected by the ridges and outgrow along them.
topographic cues. The level of interaction is found to depend
on the height of the ridge pattern, described below. To gain a
better contrast we immunostain some of the plates against
anti-tubulin (Fig. 3B). Here we can clearly see the neuronal
processes, established and newly formed, navigate onto the
substrate, encounter a ridge and align with it. On top of
the ridges the neuronal processes seem to appear as straight
lines aligned with the line ridges. During the navigation
period between the lines the processes are less stretched.
Interestingly, neuronal processes that have aligned to the
ridges tend to bifurcate at the edges of the ridges.
In Figure 4A we show SEM images of neuronal processes
6 days after plating, demonstrating two types of interactions
with the nanometric ridges. Figure 4B and C is zoomed in
images of those interactions. In Figure 4B the direction of
growth is highly affected by the 50 nm line pattern ridge. In
Figure 4C a sibling branch of the same neuron as from
Figure 4B crosses the ridge with no effect on its growth
direction. We consider a neuronal process as in Figure 4B an
‘‘affected process’’ and a process such as in Figure 4C a
‘‘non-affected process’’ (see also schematic drawing in
Fig. 5A). It is important to note that in both cases minor
processes extend from the major process and anchor to the
ridge. These minor filopodia-like processes that form focal
adhesions with the substratum cannot be seen in light
microscopy (Figs. 2 and 3). In our measurements we take
into account only the effect of the line-patterns on the
growth of major processes. It is also clearly seen in these
images that the substrate and line patterns are coated
4
Biotechnology and Bioengineering, Vol. xxx, No. xxx, 2012
uniformly with Con-A, resulting in comparable surface
properties with similar roughness that should lead to similar
interaction with the neuronal membrane. Thus, we can
exclude any strong effects due to dissimilarities between the
glass substrate and the insulating vanadium oxide patterned
Figure 4. SEM images of neurons growing atop a 50 nm ridge pre-coated with
Con-A. A: Two neurites of the same neuron crossing the line pattern ridge (soma is out
of the frame). The top and bottom blue squares mark the crossing sites demonstrating
the ‘‘affected’’ versus ‘‘non-affected’’ types of interactions, respectively. B: Zoomed-in
image of the top blue square in A. The growth direction of the major neurite is modified
by the ridge. C: Zoomed-in image of the bottom blue square in A. The neurite continues
its original growth direction. Notice the minor branching, in both images B and C,
growing out of the major neurites and attaching to the ridges.
Figure 5. Dependence of interaction statistics on patterned ridges’ heights.
A: Schematic drawing of a neurite encountering a line pattern at an incoming angle W.
The two typical behaviors are demonstrated: ‘‘non-affected’’ on the left hand side and
an ‘‘affected’’ neurite on the right hand side. B: The percentage of ‘‘affected
processes’’ out of total processes per ridge height as a function of ridges’ heights.
The darker portions represent the corrected probabilities of neuronal processes
affected by the topographic cues, taking into account the statistical nature of neurites
growth (Chi-squared test, P < 0.0001). C: Plot of percentage of affected processes
(corrected) versus ridge height. Red line shows linear dependence up to 100 nm
height.
ridges; and focus on the topographic properties of the
system.
heights. The majority of processes that come across ridges of
150 and 100 nm height are affected. For lower ridges of
75 nm height and 50 nm height the percentage of affected
processes decreases but still more than half of the processes
are affected. For the lower ridges of 25 and 10 nm the
percentage of ‘‘affected processes’’ is around one-third. It
can be seen that the percentage of ‘‘affected processes’’
increases as ridge height increases significantly ( P < 0.0001).
To further verify the significance of our results we
superimpose virtual sets of line patterns on top of images of
neurons that are developed with no topographic cues. We
measure, the same way the real processes are measured, the
percentage of neuronal processes that cross the virtual lines
and can be considered as ‘‘virtually affected processes.’’ Such
analysis characterizes the growth fashion of neuronal
processes on substrates and reflects their natural turnings
due to signaling other than topographic cues. We find that
the statistics for neurites that grow on control substrates or
on patterned substrates in between ridges is similar. A total
of 22% of the neuronal processes that cross virtual lines can
be interpreted as ‘‘affected processes’’ (out of 316 processes).
This is clearly lower than the measured ‘‘affected processes’’
even for the 25 and 10 nm heights samples. Taking into
account the statistics of ‘‘virtually affected processes,’’ we
can correct for the real percentage of ‘‘affected processes’’
per ridge height. If we assume that the probability of having
a virtually affected processes (marked Pv) is uncorrelated
with the probability of having an affected processes (marked
Pa), our measured probability of affected processes ( Pm)
is: Pm ¼ Pa þ (1 Pa)Pv. Thus Pa ¼ ( Pm Pv)/(1 Pv). The
darker portions of the six bars in Figure 5B represent the
corrected probabilities of neuronal processes to be affected
by the topographic cues.
In Figure 5C we plot the corrected percentage of ‘‘affected
processes’’ as a function of the ridges heights. We find that
the probability to interact with a line-pattern increases with
its height, within the range of 10–100 nm. The probability
can be fitted with a linear dependence (with R2 ¼ 0.98), but
this is not conclusive. However, for ridges above 100 nm
height the interaction between the ridges and the neuronal
processes is similar to the 100 nm, thus, the percentage of
‘‘affected processes’’ reaches a plateau. By extrapolating the
trend line towards potential ridges, lower than 10 nm, we
predict a minor effect on the neuronal growth. For ridges
height of ‘‘zero’’ nm, 8% of the processes will be affected by
encountering the ridge. This theoretical percentage can
reflect a surface effect since the slide and ridges that are
coated with Con-A are made of different materials (glass
and V2O5). However, this effect is small, below the level of
noise, thus we cannot interpret it with certainty.
Ridges of Different Heights
To study the graded effects of the different topographic
heights on the neuron-ridge interactions we compare how
many ‘‘affected processes’’ versus ‘‘non-affected processes’’
develop on each type of substrate. In Figure 5B we plot the
percentage of affected processes as a function of the cue
Varied Incoming Angles
Next, we measure the probability of having an ‘‘affected
process’’ as a function of the neurite’s incoming angle. The
incoming angle, W, is defined as the angle between the
Baranes et al.: Nano-Scale Cues Direct Neuronal Growth
Biotechnology and Bioengineering
5
range of angles (82% for angles of 11–508). In the middle
range, the percentage of affected neurites is lower (70% for
angles of 51–708). For perpendicular approaching neurites
(71–908) only 35% of the processes change their growth
direction due to the topographic cues. Ridges lower than
50 nm present a similar behavior. We find that for lower
ridge heights this trend continues. Much less processes
arriving at normal angles are affected, while the processes
arriving at acute angles are still affected. The 150 nm sample
does not show any angle dependence, similarly to the
100 nm ridges. It appears that changes in incoming angles
play an equivalent role in neuronal anchoring as modifying
ridges’ height. The probability of a neuronal process to be
affected by a higher ridge is similar to the probability when
approaching the lower ridge in a more acute angle.
Discussion
Figure 6. Dependence of interaction statistics on incoming angles. A: Neurites
interact with the ridges. A ‘‘non-affected’’ neurite (left panel) and two sites of
‘‘affected’’ neurites (right panel). Incoming angles are marked in red. B: Pie charts
of the percentages of neurites affected by the ridges out of total number of neurites as
a function of the neurite’s incoming angle (grouped the data to four angular bins).
Angles close to 908 represent neurites approaching perpendicularly to the ridge. The
red chart summarizes the probability of a neurite to be affected as a function of the
incoming angle for 50 nm height ridges. The blue chart represents the statistics for
100 nm height ridges. C: A schematic diagram of a neuronal process encountering a
ridge, demonstrating the physical model. The diameter of the effective surface that
may anchor the ridge is marked with the blue arrow along the interface between the
neuronal process and the ridge.
approaching neurite and the ridge which it encounters (see
Fig. 6A, left and right panels). The possible incoming angles
are thus only between 08 and 908, where 08 means that the
neurite is parallel to the ridge encountered, and 908 is a
perpendicular encounter. The pie charts in Figure 6B display
the percentage of ‘‘affected processes’’ for four ranges of
incoming angles; 11–308, 31–508, 51–708, and 71–908 and
for two ridge heights. Incoming angles below 108 are not
included, since they start already rather parallel to the ridge.
For the 100 nm ridges most of the neurites are affected
following an interaction with the ridges with no dependence
on the incoming angles (Fig. 6B, right panel). However, for
the lower ridges the probability of a neurite ‘‘to be affected’’
when approaching a ridge perpendicularly (W ¼ 908 between
the neurite and the ridge, see Figs. 5A and 6A) is lower than a
process approaching the ridge in a more acute angle. For the
50 nm ridges most of the neurites are affected in the lower
6
Biotechnology and Bioengineering, Vol. xxx, No. xxx, 2012
We demonstrate that neuronal processes, which are of
micron size, can be altered by order of magnitude smaller
topographic cues, as low as 10 nm. We show that the
majority of the neuronal processes that approach ridges of
75 nm and higher are affected by the ridge and change their
original growth direction. However, when the topographic
cues are lower, the effect on growth is more selective and
depends also on the incoming angle between the process and
the ridge it encounters. Nevertheless, the effect in all ranges
and heights is significant in comparison to the control
samples. It is important to note that the clear linear
correlation between the effect and cues’ heights demonstrates the dependence of the interaction on the physical
dimensions of the topographic cues and not on other
characteristics. Higher cues increase adhesion possibilities to
the substrate, thus better anchoring, especially for the fine
filopodia-like processes. These results are supported by
previous studies in the field showing less effect while
decreasing the heights of the topographic cues (Rajnicek and
McCaig, 1997; Rajnicek et al., 1997). Since all the patterned
samples have the same ridge dimensions (3 45 mm2), the
only difference between them is their height. Thus, we
conclude that the strength of the neuron-ridge interaction
originates from the side wall size. Even differences of 25 nm
in ridges’ height change the strength of interaction showing
a nano-scale neuronal sensitivity to the topography.
In addition, we find that the incoming angle between a
neuronal process and the ridge is important in analyzing
neuron-ridge interactions. Processes that approach the ridge
in acute angles show stronger interaction with the ridges
than processes that approach them perpendicularly. The
incoming angle between the neuronal process and the ridge
affects the neuron–ridge interaction, particularly for the
lower ridges (50 nm and lower). The incoming angles
modify the ‘‘effective surface’’ for anchoring. Figure 6C
presents a 2D simplified schematic diagram of neuronal
processes encountering line-pattern ridges (top view).
On the right panel the process approaches the ridge
perpendicularly. Thus, the actual membrane that can attach
the ridge correlates with the diameter of the process (D). For
a process that approaches the ridge in an acute angle (left
panel) the effective surface that may anchor the ridge is
larger and depends on sinW. Thus, the effective diameter of a
neuronal process encountering a ridge is: Deffective ¼ D/sinW.
Therefore, there are two parameters that are taken into
account when calculating the probability of a neuronal
process to be affected by the ridge; the ridges’ height and the
neuronal incoming angle. For higher ridges (75, 100, and
150 nm) the contribution of the incoming angle is less
significant, in comparison to the height. However, for low
ridges the larger effective membrane surface due to acute
incoming angles compensates the lack of adhesion surface.
These differences are more significant when the ridges are of
similar scale as the minor neuronal processes.
Conclusions
Nano-scale patterns are useful cues in directing neuronal
growth. We conclude that the net adhesion possibilities of
neuronal processes to the ridge are a major factor in
directing neuronal growth by nano-scale topographic cues.
Our discovery that topographic cues as low as 10 nm height
clearly modify the neuronal processes growth predicts that it
will be interesting to further explore the lower limit of
neuronal sensitivity to nano-scale topographic cues and the
resolution of that sensitivity. This would allow for
optimizing the substrates parameters and enable a more
complex design of patterned substrates for neuronal-based
chips, opening new avenues of research for the fabrication of
miniaturized neuron-based devices.
The authors acknowledge the EU-FP7 People IRG Grants 239482
(O.S.) and 268357 (A.S.). The authors thank Yaron Hakuk for
assistance with the morphological analysis and Dr. Yaakov Langzam
for technical help with the SEM imaging.
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Baranes et al.: Nano-Scale Cues Direct Neuronal Growth
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