Full text
70,474 characters
· extracted from
preprint-html
· click to expand
Ultra-sensitive measurement of brain penetration mechanics and blood vessel rupture with microscale probes | bioRxiv /* */ /* */ <!-- <!-- /*! * yepnope1.5.4 * (c) WTFPL, GPLv2 */ (function(a,b,c){function d(a){return"[object Function]"==o.call(a)}function e(a){return"string"==typeof a}function f(){}function g(a){return!a||"loaded"==a||"complete"==a||"uninitialized"==a}function h(){var a=p.shift();q=1,a?a.t?m(function(){("c"==a.t?B.injectCss:B.injectJs)(a.s,0,a.a,a.x,a.e,1)},0):(a(),h()):q=0}function i(a,c,d,e,f,i,j){function k(b){if(!o&&g(l.readyState)&&(u.r=o=1,!q&&h(),l.onload=l.onreadystatechange=null,b)){"img"!=a&&m(function(){t.removeChild(l)},50);for(var d in y[c])y[c].hasOwnProperty(d)&&y[c][d].onload()}}var j=j||B.errorTimeout,l=b.createElement(a),o=0,r=0,u={t:d,s:c,e:f,a:i,x:j};1===y[c]&&(r=1,y[c]=[]),"object"==a?l.data=c:(l.src=c,l.type=a),l.width=l.height="0",l.onerror=l.onload=l.onreadystatechange=function(){k.call(this,r)},p.splice(e,0,u),"img"!=a&&(r||2===y[c]?(t.insertBefore(l,s?null:n),m(k,j)):y[c].push(l))}function j(a,b,c,d,f){return q=0,b=b||"j",e(a)?i("c"==b?v:u,a,b,this.i++,c,d,f):(p.splice(this.i++,0,a),1==p.length&&h()),this}function k(){var a=B;return a.loader={load:j,i:0},a}var l=b.documentElement,m=a.setTimeout,n=b.getElementsByTagName("script")[0],o={}.toString,p=[],q=0,r="MozAppearance"in l.style,s=r&&!!b.createRange().compareNode,t=s?l:n.parentNode,l=a.opera&&"[object Opera]"==o.call(a.opera),l=!!b.attachEvent&&!l,u=r?"object":l?"script":"img",v=l?"script":u,w=Array.isArray||function(a){return"[object Array]"==o.call(a)},x=[],y={},z={timeout:function(a,b){return b.length&&(a.timeout=b[0]),a}},A,B;B=function(a){function b(a){var a=a.split("!"),b=x.length,c=a.pop(),d=a.length,c={url:c,origUrl:c,prefixes:a},e,f,g;for(f=0;f<d;f++)g=a[f].split("="),(e=z[g.shift()])&&(c=e(c,g));for(f=0;f<b;f++)c=x[f](c);return c}function g(a,e,f,g,h){var i=b(a),j=i.autoCallback;i.url.split(".").pop().split("?").shift(),i.bypass||(e&&(e=d(e)?e:e[a]||e[g]||e[a.split("/").pop().split("?")[0]]),i.instead?i.instead(a,e,f,g,h):(y[i.url]?i.noexec=!0:y[i.url]=1,f.load(i.url,i.forceCSS||!i.forceJS&&"css"==i.url.split(".").pop().split("?").shift()?"c":c,i.noexec,i.attrs,i.timeout),(d(e)||d(j))&&f.load(function(){k(),e&&e(i.origUrl,h,g),j&&j(i.origUrl,h,g),y[i.url]=2})))}function h(a,b){function c(a,c){if(a){if(e(a))c||(j=function(){var a=[].slice.call(arguments);k.apply(this,a),l()}),g(a,j,b,0,h);else if(Object(a)===a)for(n in m=function(){var b=0,c;for(c in a)a.hasOwnProperty(c)&&b++;return b}(),a)a.hasOwnProperty(n)&&(!c&&!--m&&(d(j)?j=function(){var a=[].slice.call(arguments);k.apply(this,a),l()}:j[n]=function(a){return function(){var b=[].slice.call(arguments);a&&a.apply(this,b),l()}}(k[n])),g(a[n],j,b,n,h))}else!c&&l()}var h=!!a.test,i=a.load||a.both,j=a.callback||f,k=j,l=a.complete||f,m,n;c(h?a.yep:a.nope,!!i),i&&c(i)}var i,j,l=this.yepnope.loader;if(e(a))g(a,0,l,0);else if(w(a))for(i=0;i (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0];var j=d.createElement(s);var dl=l!='dataLayer'?'&l='+l:'';j.src='//www.googletagmanager.com/gtm.js?id='+i+dl;j.type='text/javascript';j.async=true;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-M677548'); Skip to main content Home About Submit ALERTS / RSS Search for this keyword Advanced Search New Results Ultra-sensitive measurement of brain penetration mechanics and blood vessel rupture with microscale probes View ORCID Profile Abdulmalik Obaid , Mina-Elraheb Hanna , View ORCID Profile Song-Wen Huang , View ORCID Profile Yu-Ting Hu , View ORCID Profile Omar Jáidar , William Nix , Jun B. Ding , View ORCID Profile Nicholas A. Melosh , View ORCID Profile Yu-Wei Wu doi: https://doi.org/10.1101/2020.09.21.306498 Abdulmalik Obaid 1 Department of Materials Science and Engineering, Stanford University , CA 94304, USA Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Abdulmalik Obaid Mina-Elraheb Hanna 1 Department of Materials Science and Engineering, Stanford University , CA 94304, USA Find this author on Google Scholar Find this author on PubMed Search for this author on this site Song-Wen Huang 2 Institute of Molecular Biology, Academia Sinica , Taipei 115, Taiwan 3 Department of Life Science, College of Life Science, National Taiwan University , Taipei 106, Taiwan Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Song-Wen Huang Yu-Ting Hu 2 Institute of Molecular Biology, Academia Sinica , Taipei 115, Taiwan 3 Department of Life Science, College of Life Science, National Taiwan University , Taipei 106, Taiwan Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Yu-Ting Hu Omar Jáidar 4 Department of Neurosurgery, and Department of Neurology and Neurological Sciences, Stanford University , CA 94305, USA Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Omar Jáidar William Nix 1 Department of Materials Science and Engineering, Stanford University , CA 94304, USA Find this author on Google Scholar Find this author on PubMed Search for this author on this site Jun B. Ding 2 Institute of Molecular Biology, Academia Sinica , Taipei 115, Taiwan Find this author on Google Scholar Find this author on PubMed Search for this author on this site For correspondence: wuyuwei{at}as.edu.tw dingjun{at}stanford.edu nmelosh{at}stanford.edu Nicholas A. Melosh 1 Department of Materials Science and Engineering, Stanford University , CA 94304, USA Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Nicholas A. Melosh For correspondence: wuyuwei{at}as.edu.tw dingjun{at}stanford.edu nmelosh{at}stanford.edu Yu-Wei Wu 2 Institute of Molecular Biology, Academia Sinica , Taipei 115, Taiwan 3 Department of Life Science, College of Life Science, National Taiwan University , Taipei 106, Taiwan 4 Department of Neurosurgery, and Department of Neurology and Neurological Sciences, Stanford University , CA 94305, USA 5 Taiwan International Graduate Program in Interdisciplinary Neuroscience (TIGP-INS), Academia Sinica , Taipei 115, Taiwan 6 Molecular and Cell Biology Program, Taiwan International Graduate Program (TIGP-MCB), Academia Sinica , Taipei 115, Taiwan 7 Genome and Systems Biology (GSB) Degree Program, College of Life Science, National Taiwan University , Taipei 106, Taiwan 8 Graduate Institute of Life Sciences, National Defense Medical University , Taipei115, Taiwan 9 Neuroscience Program in Academia Sinica (NPAS), Academia Sinica , Taipei 115, Taiwan Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Yu-Wei Wu For correspondence: wuyuwei{at}as.edu.tw dingjun{at}stanford.edu nmelosh{at}stanford.edu Abstract Full Text Info/History Metrics Supplementary material Preview PDF Abstract Microscale electrodes, on the order of 10-100 μm, are rapidly becoming critical tools for neuroscience and brain-machine interfaces (BMIs) for their high channel counts and spatial resolution, yet the mechanical details of how probes at this scale insert into brain tissue are largely unknown. Here, we performed quantitative measurements of the force and compression mechanics together with real-time microscopy for in vivo insertion of a systematic series of microelectrode probes as a function of diameter (7.5–100 μm and rectangular Neuropixels) and tip geometry (flat, angled, and electrochemically sharpened). Results elucidated the role of tip geometry, surface forces, and mechanical scaling with diameter. Surprisingly, the insertion force post-pia penetration was constant with distance and did not depend on tip shape. Real-time microscopy revealed that at small enough lengthscales (<25 μm), blood vessel rupture and bleeding during implantation could be entirely avoided. This appears to occur via vessel displacement, avoiding capture on the probe surface which led to elongation and tearing for larger probes. We propose a new, three-zone model to account for the probe size dependence of bleeding, and provide mechanistic guidance for probe design. Significance Statement Microscale neural probes are central to next-generation brain–machine interfaces, yet how they physically penetrate living brain remains poorly quantified. Using a high-sensitivity force sensor integrated with real-time microscopy, we measured in vivo force–displacement and visualized vascular responses for microwires (7.5–100 μm) and Neuropixels. We find that once the brain’s protective pia membrane is breached, insertion force remains essentially constant with depth, while pia puncture force and pre-penetration compression scale linearly with probe diameter. Real-time imaging reveals a sub-25 μm regime in which blood vessels are displaced rather than ruptured. These results motivate a three-zone model of vessel capture versus displacement and provide actionable mechanical design rules for low-trauma, high-density neural interfaces. Introduction Microelectrodes implanted into the brain are a critical component of new neuroprosthetic applications and brain-machine interfaces (BMIs), including high-density silicon probes (70 x 20 μm)( 1 , 2 ), syringe injectable electronics (∼100 μm) ( 3 ), shuttle delivery ( 4 ), and microwire arrays (<20 μm per wire) ( 5 - 9 ). As these new probes become more widespread and new fabrication techniques become available, understanding the mechanics of brain penetration and insertion of devices in the 10-100 μm size scale is essential for balancing geometric design, materials strength and tissue damage ( 10 - 12 ). Appropriate optimization of mechanical insertion into the tissue is critical for success, as large devices can cause traumatic tissue damage and scar formation, while thin devices may buckle under the loads necessary to penetrate the outer pia membrane ( 5 , 13 - 16 ). Here, we performed systematic measurements of in vivo brain insertion forces and tissue compression for microscale probes of different diameters (7.5–100 μm cylindrical microwires and rectangular Neuropixels) and tip geometry to provide a rigorous mechanical framework for guiding probe design and understanding in this critical size regime. Microwires are a useful model system in that they are available in a wide variety of sizes with uniform surfaces and tip shapes, and have long been used for recording structures deep in the brain ( 13 , 15 , 17 - 19 ). While the general expectation is that smaller wire diameters should yield lower damage, actual data for insertion mechanics is sparse. Prior investigations in the 10–100 μm probe size range have been limited to a few different sizes with relatively low sensitivity measurement units. Initial tissue damage studies with lower-resolution instrumentation were inconclusive about size dependence, with no significant differences found between large (cross-sectional dimensions ∼ 200 x 60 μm) and small (100-140 x 15 μm) devices ( 20 ). Measuring the mechanics of such ultra-small devices inserting into the brain, a soft, ultra-compliant material, are highly challenging due to the large insertion displacements (mm to cm) before penetration, together with rapid and/or small force events present during insertion. Compromises typically have to be made either in force sensitivity or temporal resolution; many features may have been missed in previous studies simply due to instrumental limitations ( 13 , 21 - 23 ). To address these challenges, we developed a high-performance force-displacement measurement system using a modified nanoindentation head as a force transducer. Nanoindentation transducers are among the fastest, most sensitive force-displacement systems available with 3 nN force and 1 ms temporal sensitivity. However, these instruments are designed with maximum displacements on the order of hundreds of microns ( 24 ), compared to the millimeters of compression required before tissue penetration. This large displacement range was achieved by integrating an entire iNano nanoindenter (Nanomechanics, Inc.) measurement head onto a long-travel linear actuator, and measuring force and time with the nanoindenter in a zero-displacement mode while the actuator traveled at a constant velocity. In combination with the mechanical measurements we visualized the probe inserting with real-time epifluorescence or two-photon microscopy. These measurements allowed direct visualization of how blood vessels failed during insertion, leading to the discovery of a probe size regime where vessel rupture can be avoided altogether. We propose a new three-zone model for blood vessel rupture to explain these observations, which predicts that sufficiently small probes will displace blood vessels. Results Penetration force measurement A high-performance mechanical measurement system was developed to monitor the forces and displacements during penetration of soft (∼1 kPa) brain tissue and mimics. This apparatus ( Fig. 1a ) used a NanoMechanics iNano InForce 50 indentation head as the force transducer. The transducer position relative to the tissue is then controlled via a low-noise linear actuator moving 20 μm/s to a depth of 2.5 mm. Tungsten microwire diameters of 7.5, 15, 25, 35, 50, 80, and 100 μm were measured, each with smooth sides. Different tip shapes (flat polished, angle polished, and electrosharpened) and tissue systems (phantom, ex vivo and in vivo ) were prepared as described in the Methods section. Download figure Open in new tab Figure 1. Penetration of brain mimics, ex vivo and in vivo brain tissue (a) Image of the adapted nanoindenter setup. Background electronics are grayed out to highlight areas of interest. The nanoindenter is mounted on a z-axis drive that provides the vertical translation. (b) Schematic illustration of insertion into brain tissue. (c,d) Force-displacement curve for insertion of 15 μm diameter flat-polished wire into acutely excised brain tissue. The force increases exponentially pre-penetration, then increases linearly as a function of depth post-penetration. The linear increase in force is attributed to surfaces forces along the length of the wire ( F surface ) in addition to the constant force at the tip ( F tip ). (e,f) Force-displacement curve for insertion of 15 μm diameter flat-polished wires in vivo . Insertion into live brain tissue also displays a sharp drop in force during penetration, but the force plateaus as the wire is driven deeper, unlike the ex vivo case. Oscillations during insertion into live brain are consistent with breathing and heart rate. A schematic of the experimental apparatus and representative force-extension curves for both freshly excised ex-vivo ( Fig. 1c,d ) and in vivo samples ( Fig. 1e,f ). As a 15 μm microwire extended at 20 μm/s, the force increased exponentially for the first ∼250 μm, roughly ∼15 times the diameter of the wire. Visually, as the wire is displaced the brain dimples without penetration, until a critical force is reached and the probe penetrates through the pia and a sudden drop in force is observed. This corresponded with the tissue visually relaxing around the wire, with the surface approaching its original location, which we interpret as indicating the microwire was inside the brain. From this penetration event both the force at puncture ( F p ) and the displacement to puncture ( d p ) were recorded. In a subset of control experiments, an alternative measurement configuration using a MTS Nano Indenter XP was employed. In this setup, the indenter transducer position was fixed while a low-noise linear actuator advanced the sample upward at velocities of 5 and 20 μm s− 1 to depths of ∼2 mm ( Fig. S1a,b ). To verify that the measured puncture forces reflected pia penetration rather than incomplete removal of the dura mater, we performed additional insertions through intact, moist dura prior to dura removal ( Fig. S1c–f ). Dura removal was confirmed visually under a dissection microscope and independently verified using two-photon microscopy with second-harmonic generation (SHG) imaging ( Fig. S1c,d ). Insertions through intact dura required substantially larger Fp (>10 times lager) and exhibited prolonged loading phases ( d p ) consistent with the higher stiffness of the dura layer ( Fig. S1e,f ). Following surgical removal of the dura, puncture forces decreased markedly, and force–displacement traces adopted the characteristic signatures observed throughout this study. Together, these controls confirm that the forces reported here reflect pia penetration mechanics, rather than the composite mechanics of the dura–arachnoid–pia complex. Note that the force oscillations in vivo are not noise or stick-slip events, but instead the pulsatile effects from heartbeat and breathing ( Fig. 1f ). Both the curve shape and magnitude of the pre-penetration phase are very similar between in vivo and ex vivo tests, which agrees with previous indentation measurements suggesting they have similar mechanical properties ( 25 - 27 ). Surprisingly, as the insertion force to drive the wire deeper into tissue in vivo after pia-penetration was constant as a function of depth. Representative force–displacement traces across wire diameters illustrating this depth-independent post-penetration force are shown in Fig. S6 . Slight features or humps are observed in the force–displacement curves, but without the monotonic linear force increases observed ex vivo . It is surprising that there is no increased resistance to insertion despite more probe area was in contact with the brain, yet this trend was highly consistent over dozens of experiments. We hypothesize this may be due to lubrication from active pumping of cerebrospinal fluid (CSF) or the dynamic motion from heartbeats preventing surface adhesion or static friction, yet more study needs to be done. The absence of a linear increase in force post pia puncture in vivo shows that the pia is the primary mechanical barrier to electrode insertion; if a probe is stiff enough to penetrate the pia, it can be inserted to arbitrary depths. This suggests that initial penetration into brain tissue is the critical mechanical challenge in designing penetrating electrodes. Once implants are past the pia, there is minimal mechanical barrier to drive deeper into tissue; the force to insert 500 μm deep is very similar to the force to insert two millimeters. These penetration results differed markedly from those obtained in agarose phantoms, despite matching the bulk elastic modulus of brain tissue. For a 0.6% agarose gel ( Fig. S2a-d ), penetration produced pronounced saw-tooth features in the force–displacement curves at both micrometer and millimeter scales, behavior not observed in either ex vivo or in vivo brain. Although agarose hydrogels at this concentration are commonly used as mechanical brain mimics for indentation studies ( 22 , 23 , 28 ), their penetration response reflects fracture- and adhesion-dominated mechanics rather than the smooth insertion dynamics seen in living tissue. Reducing the concentration to 0.3% agarose resulted in fewer saw-tooth features following initial penetration and substantially lower F p (Fig. S2e–f) , yet the overall insertion behavior remained qualitatively distinct from brain tissue. Thus, while agarose gels are useful for approximating bulk elastic properties, they do not faithfully reproduce the mechanics of probe penetration and are not suitable surrogates for penetration studies. Influence of Microwire Diameter To understand the role of electrode size on brain insertion mechanics, the force-displacement to insert wires with diameters between 7.5 μm to 100 μm was measured ex vivo and in vivo ( Fig. 2 ). All of these microwires had highly consistent, flat-tipped geometries by polishing the distal ends; tip shape dependence will be discussed below. The slope of the initial loading, indicating the compliance of the brain tissue, was only weakly dependent on wire diameter, with slightly lower compliances for smaller probes ( Fig. S3 ). This suggests that over the range of the wire diameters studied, bulk brain tissue mechanics are generally homogeneous, consistent with previous studies on indentation into brain tissue ( 24 , 29 ), and our measurements were insensitive to the order of wire diameters tested across animals ( Fig. S5 ). Download figure Open in new tab Figure 2. Influence of microwire diameter (a) Representative force-displacement curves comparing the response of different diameter flat-polished probes inserted into ex vivo brain at a rate of 20 μm/s. Pia puncture occurs during abrupt drop in measured force, wherein the puncture force ( F p ) and displacement to puncture ( d p ) are extracted. (b) Relationship between puncture force and microwire is found to be linear. (c) The displacement to puncture as a function of wire diameter is also linear. (d) Representative force-displacement curves of flat-polished probes of increasing diameter inserted into live brain tissue at 20 μm/s. (e,f) Relationship between puncture force and displacement to puncture as a function of size for insertion into live brain. (g) The force at 1.5 mm as a function of wire diameter for flat-polished wires, comparing ex vivo and in vivo . The forces after penetration are significantly lower in vivo than from ex vivo insertions. (h,i) Comparison of the scaling of puncture force and displacement to puncture with size between ex vivo and in vivo . Forces and displacements are found to be similar 50 μm and below, with larger differences observed in vivo at large sizes. Data are shown as mean ± SD. For each diameter, measurements were obtained from ex vivo : n = 3 (7.5 μm), 7 (15 μm), 5 (25 μm), 4 (35 μm), 4 (50 μm), 5 (80 μm), and 5 (100 μm) independent insertions of each wire size, pooled across N = 4 mice; in vivo : n = 4 (15 μm), 5 (25 μm), 5 (50 μm), 4 (80 μm), and 4 (100 μm) independent insertions of each wire size, pooled across N = 5 mice (multiple insertions per animal, spaced ≥500 μm apart). Each insertion was treated as an independent mechanical trial. The pia penetration event shape was highly stereotyped across all sizes, yet the force magnitudes to cause puncture ( F p ) varied by over an order of magnitude; from 185 ± 40 μN for 15 μm wires, to 1610 ± 239 μN for 100 μm diameter in vivo . Both the F p and compression d p scaled linearly with probe diameter, rather than the cross-sectional area of the tip. This observation is consistent with models of crack-initiated or energy-limited failure in compliant materials ( 30 , 31 ), indicating the failure of the pia may occur via one of these modes. From this data, the force and compression needed to puncture the brain could be directly calculated based on the size of the wire in vivo : The insertion force past pia penetration was roughly constant for all in vivo tests ( Fig. 2d ), yet the magnitude of this force scaled linearly with diameter ( Fig. 2e ). Consistent with recent in vivo demonstrations of bleeding-absent insertions using anisotropically relaxing polymer probes, reducing the effective cross-section shifts the failure mode from vascular penetration to vessel deflection, lowering acute hemorrhage risk ( 32 ). Larger probes required larger absolute magnitudes of insertion force, yet did not increase significantly once through the pia. These observations are consistent with a friction model for in vivo tissue insertion, where the normal restoring force arises from lateral tissue displacement proportional to the probe’s diameter. The linear relationship suggests the coefficient of friction is constant over all probe diameters studied. Interestingly, a significant difference between ex vivo and in vivo penetration force and compression exists for microwires of 100 μm diameter (p < 0.05, two-way ANOVA, post hoc Bonferroni) ( Fig. 2h,i ). The significantly higher forces required for penetration in vivo for larger wires is unclear at the moment, yet may involve pressurization of the vasculature due to blood flow ( 33 ), or continual tissue movement due to breathing and heartbeat. Tip geometry dependence Sharpening the probe tip geometry is a common strategy for reducing tissue compression in penetrating microelectrodes ( 34 , 35 ) which may result in less tissue damage, such as for Michigan-style probe arrays ( 36 , 37 ). To elucidate the effects of probe shape in the 10-100 μm range, penetration of angle-polished (24º) and electrosharpened probes (tip radius ∼10 nm, Fig. 3a,b ) were studied in comparison to the flat-polished tips. Two representative force-displacement curves for 15 μm and 80 μm wires of the three different tip geometries are shown in Fig. 3c and 3d for in vivo tests ( ex vivo shown in Fig. S4 ). Flat- and angle-polished wires showed no statistically different behavior for microwires ≤ 100 μm in diameter ( Fig. 3e ; displacement scaling shown in Fig. S7 ), indicating at this lengthscale angle sharpening has no effect. Yet the results diverged >100 μm, where the force and distance for angle-polished tips were lower than flat-polished tips. To further confirm this trend, microwires with 125 μm diameter were tested, and Fp were again lower for angle-polished tips, in agreement with results for millimeter-scale needles ( 21 , 38 ). This data suggests that our intuitive expectation that angled ‘sharp’ tips are better is true at macroscopic lengthscales, but breaks down in the <100 μm regime. Download figure Open in new tab Figure 3. Tip geometry dependence (a) Graphical illustration of the three different tip geometries studied; flat-polished (FP), angle-polished (AP), and electrosharpened (ES). (b) Representative SEM images of the three different tip geometries. (c,d) In vivo force-displacement curves for 3 tip geometries for 15 μm diameter (c) and 80 μm diameter (d) microwires. A silicon probe ( Neuropixels ) with a 70 μm wide, 20 μm thick geometry is plotted in comparison with 80 μm wires (d). (e) Measured puncture force in vivo as a function of wire diameter for FP and AP wires and a Neuropixels. Neuropixels values are plotted with wire diameter values between 20 and 70 μm because of their rectangular cross-section. (f) In vivo force at 1.5 mm depth as a function of wire diameter for all tip geometries tested, including Neuropixels . Data are shown as mean ± SD. For each diameter, measurements were obtained from FP: n = 4 (15 μm), 5 (25 μm), 5 (50 μm), 4 (80 μm), 4 (100 μm), 3 (125 μm); AP: n = 4 (all sizes) and EP: 4 (15 μm), 4 (25 μm), 3 (50 μm), 4 (80 μm), 3 (100 μm), 4 (125 μm) independent insertions of each wire size, pooled across N = 5 mice; (multiple insertions per animal, spaced ≥500 μm apart). Each insertion was treated as an independent mechanical trial. In contrast, electrosharpened wires displayed strikingly different behavior, with no discernable pia penetration event ( Fig. 3c,d ). There are numerous small rapid rises and drops in the force readout during insertion, but none could be classified as a distinct penetration of the brain surface. Synchronized videos of electrosharpened wire insertion also show no detectable insertion event, dimpling or tissue relaxation ( Video S1 ). Hence, we cannot report a puncture force for electrosharpened wires. The forces during initial insertion into brain tissue were roughly an order of magnitude smaller than flat tips, ranging between 10 to 100 μN. Empirically, an electrosharpened tip that has been dulled or bent will still result in a distinguishable puncture event, albeit of much lower peak force magnitude than flat or angle polished microwires. Interestingly, after pia puncture no insertion force difference was observed between flat, angled, or electrosharpened tips ( Fig. 3f ). This reveals that after penetration, the insertion force is dominated by surface forces along the shaft of the electrode and the surrounding brain tissue, rather than effects at the probe tip. Comparison to rectangular Neuropixels probes With the increasing prevalence of Michigan-style and Neuropixels silicon probes for high-density neural recording( 1 , 2 ), we measured the mechanics of inserting rectangular 20 x 70 μm cross-section Neuropixels probes ( Fig. 3e,f and Fig. S8 ). Neuropixels required pia penetration forces similar to that of 25 μm diameter wires, which is close to the 20 μm thickness of the probe tip ( Fig. 3e ). Past pia penetration, the insertion forces corresponded to cylindrical wires with diameters between 50 μm and 80 μm ( Fig. 3f ). Neuropixels have an equivalent surface area of a ∼57.5 μm diameter wire, thus the insertion force appears dependent on circumference or surface area, rather than cross-sectional shape. These results are commensurate with the force independence on tip shape, indicating surface forces along the shaft of the probe dominate the bulk tissue insertion force, regardless of geometry. The effect of insertion speed was also studied using the Neuropixels , inserting at 2, 20 and 100 μm/s ( Fig. S8g ). While the displacement at puncture remained similar across speeds, the force magnitude (both peak and post-penetration plateau) increased with insertion speed, consistent with the viscoelastic properties of brain tissue ( 39 ). Finally, Neuropixels often exhibited a secondary ‘peak’ in the force curve after the pia penetration ( Fig. 3d , purple trace). The origin of this event is unclear, but was quite common, observed in ∼80% of the force traces. To assess whether insertion speed modulates these diameter-dependent relationships, we performed additional in vivo insertions at a slower speed (5 μm/s) using 20 μm and 80 μm flat-polished microwires ( Fig. S8 h,i ). Compared to insertions at 20 μm/s, slower insertions slightly increased F p and dp at 5 μm/s for either diameter, and post-penetration forces did not show clear changes with depth. These results indicate that within the range tested, only slightly alters the scaling of penetration mechanics with probe diameter. Effect of probe size on bleeding Bleeding during or post probe-insertion is a strong indicator of vascular and/or tissue damage, and can lead to serious subsequent trauma such as vasospasms. Larger probes, such as deep brain stimulation electrodes, always involve some level of hemorrhaging, yet probes in the sub-100 μm range have already shown different mechanical insertion behavior, thus may have different vessel damage as well. To quantify a bleeding event, we carefully observed with a magnified camera any surface bleeding, either during insertion or after the probe was withdrawn from the tissue ( Fig 4a,b ). These events were tallied on a binary yes/no basis, as the magnitude of hemorrhaging was difficult to accurately quantify. Download figure Open in new tab Figure 4. Surface bleeding observations (a) Schematic of the in vivo force measurements. (b) Representative images of the surface of the brain before ( left ) and after ( right ) insertion of 15 μm and 80 μm microwires. No bleeding is observed is on the surface of the brain for 15 μm wires. After retraction of the 80 μm wire, the insertion site is marked by blood leaking from the surface. (c) Percent bleeding observed optically at the surface of the brain for insertion of flat-polished and electrosharpened wires. For insertion of 15 μm wires, no bleeding was observed for all tip geometries. Between 25 μm and 80 μm, electrosharpened wires showed fewer incidence of bleeding at the surface in comparison to flat-polished tips. For > 100 μm, all wires displayed bleeding at the surface. Large, visible vessels were avoided for all measurements. Bleeding observation was obtained from FP: n = 5 (15 μm), 7 (25 μm), 12 (50 μm), 5 (80 μm), 5 (100 μm), 3 (125 μm) and EP: 5 (15 μm), 7 (25 μm), 7 (50 μm), 4 (80 μm), 5 (100 μm), 3 (125 μm) independent insertions of each wire size, pooled across N = 5 mice; (multiple insertions per animal, spaced ≥500 μm apart). The results clearly show that the incidence of bleeding is strongly correlated with probe size, with a roughly sigmoidal dependence ( Fig. 4c ). From these observations, for ≥ 100 μm probes there is always bleeding, transitioning to less common bleeding events between 100 to 25 μm diameters, and finally to where no bleeding occurs for probes < 25 μm. Interestingly, electrosharpening the tip produces an offset in the curve rather than changing its overall shape, reducing the ‘effective’ wire diameter by 20–30 μm ( Fig. 4c , red trace). Thus, bleeding can be reduced by selecting sharper tips, yet probe diameter is still the most important variable for hemorrhaging. For example, insertions for all 100 μm tip shapes caused bleeding, but no bleeding for 15 μm wires of any tip geometry. These results are highly surprising, suggesting it is possible to completely avoid vascular damage by going to small enough probe lengthscales. Monitoring insertion and blood vessel rupture with two-photon imaging and simultaneous force/epifluorescence measurements To understand probe-tissue interaction during insertion and why bleeding may or may not occur, we modified the apparatus to also perform two-photon microscopy and real-time epifluorescence imaging during microwire insertion simultaneously with force ( Fig. 5a ). These experiments were all performed in vivo with either 13, 25 or 80 μm wires with a tail injection of a fluorescent dye (Rhodamine B, Fig. 5b ) to aid the visualization of the vasculature network and bleeding events. Download figure Open in new tab Figure 5. Live two-photon and epifluorescence imaging with in situ force measurements (a) Schematic of in vivo imaging with in situ force measurements. (b) eGFP-expressing astrocytes ( Astrocyte-GFP) and blood vessels filled via tail vein injection of Rhodamine B (BV-Rhodamine) were imaged with two-photon microscopy. Image stacks were taken with sequential motion of the microwire. (c) Force vs displacement during the insertion of a 25 μm microwire and the respective two-photon images at different steps in the insertion process. We observe the exponential increase in force during compression of the surface ( t1-t3) as well as the lack of increase in force past penetration (t4) . Penetration was conformed with 2P imaging, showing the probe is past the pia at t3,4 . (d,e) Force-distance is plotted with synchronized epifluorescence videos of 25 μm and 80 μm microwire insertion, respectively. The exponential increase in force pre-penetration is correlated with the dimpling of the pia and surface vessels around the wire. During insertion of a small wire (25 μm, c and Video S3 ), there is no noticeable bleeding or disruption of the vessels, even when the wire comes in contact with microvasculature. In contrast, the 80 μm wire causes multiple bleeding events, both during the initial rupture of the pia surface and vessels beneath the surface. Forces and tissue displacement were correlated by measuring force vs depth for a 25 μm wire, pausing at certain locations to acquire two-photon (2P) image stacks ( Fig. 5b,c ). No discernible changes were observed in the force measurements during the pauses to acquire the 2P image, suggesting the measurement technique did not alter normal insertion behavior. The location of the pia was identified by a sheath of astrocytes at the surface that is dragged deeper into the brain by the microwire insertion ( Fig. 5b )( 40 ). Figure 5c shows increasing force pre-pia penetration correlated with dimpling of the pia (visible at the tip of the probe) and compression of surface vessels/tissue around the wire ( Fig. 5c : t1 vs t2 ). While the entire tissue appeared to displace vertically, only slight changes in the relative vasculature arrangement were observed. At a critical depth pia rupture occurred, which correlated most notably with the surrounding tissue relaxing vertically ( Fig. 5c : t3 vs t4 ). The pia was located mid-way along the microwire, rather than at the tip. In this image stack, no bleeding was observed at any depth. We then took simultaneous real-time measurements of force and epifluorescence. During insertion of a 25 μm wire at 20 μm/s ( Fig. 5d , Video S2 ), there was no noticeable bleeding or disruption of the vasculature, despite the fact that in some cases the probe directly impacted a blood vessel. Timepoints t1-t5 in Fig. 5d show the probe push aside a ∼80 μm blood vessel as the pia is compressed, yet no bleeding occurred even after pia penetration or deeper insertion. The subsequent timespan shows further insertion which also did not disrupt microvasculature in bulk tissue. Instead, this 25 μm probe appeared to deflect the blood vessels to the side as it contacted them, without causing rupture. This is in stark contrast to a large wire (80 μm, Fig. 5e and Video S3 ), wherein significant disruption and bleeding is observed both at and post-pia penetration. During initial force loading pre-penetration (timepoints t1-t5 ), the tissue is compressed and blood vessels were collapsed, but no visible bleeding occurred. Upon partial pia rupture the first bleeding event is visible at the surface, #1 , and a hemorrhage is observed deeper in the tissue. Additional bleeding events #2-4 during further insertion were also observed, highlighted in red. The videos show that blood vessel failure occurred by blood vessels getting trapped on the probe tip surface, then stretching as the probe was inserted further, then finally failing after significant elongation. Note that bleeding event #1 in Figure 5e occurred by tearing the vessel at a location along the side of probe shaft, rather than at the tip. Thus, vessel rupture did not occur upon initial contact with the probe, nor likely due to a crack propagating near the tip, but only after being caught on the surface of the probe and stretched to failure. These rupture events often corresponded with features in the force profile, such as the sawtooth force profile for bleeding event #4 in Figure 5e . Next, we assessed the effect of insertion on the astrocytic populations and subpial vasculature with two-photon microscopy ( Fig. S9, Video S4 ). A 13 μm diameter microwire shows no disruption of the astrocytic populations or vasculature (blood brain barrier) during insertion, akin to the 25 μm diameter microwire, while the 80 μm microwire caused significant disruption of the local vasculature and astrocytic population. After retraction, a clear track of displaced astrocytes and bleeding vessels is left in place of the wire, indicating these larger probes caused significant disruption. Discussion Three-zone blood vessel rupture model The results show that smaller electrodes reduce rupture force, tissue compression, and likelihood of vessel rupture. Perhaps most interestingly, we observed a probe size range <25 μm that elicited no bleeding response. From video microscopy, these size wires pushed aside capillaries upon tip approach, allowing passage without causing rupture. For larger probes, blood vessel failure occurred by the vessels becoming captured at or near the probe tip, elongating with further insertion, and finally tearing or rupturing. From these observations, we propose a three-zone conceptual model for the mechanism for blood vessel rupture ( Fig. 6a ). The model consists of a cylindrical penetrating probe of diameter D encountering a blood vessel at some depth. Depending on the location of the vessel and the size of the probe, three distinct events may occur: ( 1 ) For vessels in the capture zone (red) located underneath the probe tip, blood vessels become entrapped on the surface of the probe, and are stretched as the probe continues to insert. The vessel finally fails due to the strain of elongation, rather than a cutting process near the tip, which often results in a vessel tear along the side of the probe, not underneath the probe itself. ( 2 ) In the displacement zone , vessels located in a thin ring near the edge of the probe will instead be pushed aside, out from under the probe itself, avoiding capture on the surface. We speculate this occurs due to the differential lateral pressure near the edge of the probe tip, and the width of this zone is roughly constant, as it is a feature of the edge itself rather than the overall probe size. ( 3 ) Vessels in the deformation zone are compressed and distorted, but do not move significantly relative to the surrounding tissue. Download figure Open in new tab Figure 6. Three zone blood vessel rupture model (a) The three-zone model for blood rupture mechanics consists of a penetrating probe encountering a blood vessel at some depth within the tissue. Depending on the distance of the vessel and the size of the probe, three distinct events may occur: capture and eventual failure, displacement from under the tip, or deformation away from the probe. (b) In the proposed model, the size of the displacement zone is roughly constant with diameter, such that at a critical size regime approximately two times the width of the displacement zone, no blood vessel rupture will occur. We believe this model captures many of the observations made from the force and video evidence and particularly the scaling with probe size ( Fig. 6b ). Large probes would have relatively little lateral displacement force underneath them, thus most of the region beneath the tip is a capture zone, with a thin band of displacement near the edge. As the probe size shrinks the displacement zone stays roughly constant, while the capture zone contracts. Finally, for a sufficiently small probe all vessels are displaced, rather than captured, allowing the probe to be inserted deeply into tissue without damaging the vasculature. Note that a small probe inserted directly on top of a very large blood vessel would still likely eventually cause penetration and bleeding, thus avoidance of large vessels should still be preferred. These observations also open an interesting insight into how insertion velocity is important at different size scales. Multiple studies have found that injecting large probes very quickly (>1 m/s) could reduce the amount of bleeding and tissue damage, ascribed to the stiffer nature of the viscoelastic tissue at these speeds. However, for the very small <20 μm probes which rely upon vessel displacement, it may be more beneficial to insert slowly ( 41 ), allowing time for the vessels to move out of the way. Further velocity measurements are underway, which may shed more light on the insertion mechanics for these small probe dimensions. Conclusion The mechanics of inserting a foreign object into the brain is one of the critical issues for in vivo implantations. While numerous studies exist for clinical insertion of large, millimeter scale probes, ultra-small microwires and silicon probes with dimensions less than 100 μm are becoming much more common, yet little is known about their insertion properties. Here, we measured insertion of a series of different size and tip shape probes with high spatial and temporal resolution for agar, ex vivo and in vivo systems. These careful mechanical insertion measurements provided a number of unexpected findings. First, the insertion force did not increase with depth in vivo after the pia penetration event, unlike previous ex vivo experiments. This implies that once through the pia layer, it would be possible to insert a probe to arbitrary depths without buckling, although it is possible that heterogeneities (e.g., white vs grey matter) could alter the trajectory of the wires. Mechanically, both the pia penetration force and amount of tissue compression scaled linearly with probe diameter rather than cross-sectional area. The amount of tissue compression scaled as ∼ 4 times the microwire diameter, with smaller probes requiring less force and causing less tissue compression. Interestingly, no statistical difference in pia penetration force or compression was observed between flat and angle-polished wire tips, while ultra-sharp electrosharpened tips had negligible pia penetration force for all wire diameters. Once inside the tissue however, the required insertion force scaled with circumference, independent of tip shape. This indicates that the sidewalls dictate the internal insertion force, while the tip shape is more relevant for pia penetration, especially at larger probe sizes. Interestingly, rectangular 20 x 70 μm Neuropixels probes penetrated the pia like a 20 μm device, but inserted deeper into the tissue as a cylindrical wire with equivalent circumference. Combined force measurements together with in situ epifluorescence and two-photon imaging revealed that blood vessel rupture appears to occur by a process of: ( 1 ) capture upon the probe tip, ( 2 ) elongation with further probe insertion, and ( 3 ) eventual rupture, usually not located at the probe tip. This implies that the vasculature does not fail due to encountering the tip nor a crack propagating near the tip surface, rather via attachment to the probe followed by stretching. Measurements of bleeding as a function of probe diameter discovered a size regime <25 μm where no bleeding with insertion was observed. These observations imply that by proper scaling of the probe, both tissue compression and blood vessel rupture can be avoided, which may lead to greatly improved outcomes. The results presented here provide quantitative insights for properly scaling neural probe designs and better understanding brain mechanics during insertion of microscale devices. It is clear that the model system chosen can have a significant effect on the experimental result. From combined force and real-time measurements, we propose a tearing mechanism for blood vessel failure, which could be avoided for sufficiently small probes. Substantial additional work remains to uncover the details of these mechanisms and shed light on multiple probes inserting at one time and insertion velocity dependence. The number of surprising observations highlight the utility of basic quantitative measurements, and reveals there is still much to be discovered about interfacing artificial devices together with the brain. Design trade-offs between probe diameter, material stiffness, and buckling constraints are summarized using Euler buckling analysis in Fig. S10 . Materials and Methods Instrumentation We developed a high-performance mechanical measurement system. This apparatus, shown in Fig. 1 , used NanoMechanic ’s iNano InForce 50 (NanoMechanics Inc, USA) indentation head as the force transducer. A displacement control protocol is used to fix the center plate of the iNano , while a low-noise linear actuator moves the indenter head 2.5 mm into the brain at 2 - 20 μm/s. The surgical apparatus positions the iNano head above the tissue, then extends the indentation head to push the microwire into the material while measuring force and displacement. A custom program was written to automate force detection of the thin water layer maintained above the hydrogel/brain surface. This was done by vibrating the nanoindenter tip and detecting a phase angle change induced by contact with the water, amplified at the interface by the capillary force pulling onto the tip. This point is referenced to be zero. The system was then programmed to insert by a user specified amount into the hydrogel/brain by a speed capped at 50 μm/s to prevent damage to the tool and assure accurate force measurements (as dictated by the internal hardware speed of the feedback loop). In a subsets of experiments ( Fig. S1a-b, S2 e-f, S7 h-i ), we used Nano Indenter XP (MTS Systems Corp., USA) with a load resolution of 0.05 μN and data acquisition frequency at 5 Hz. Hydrogel Preparation An agarose 0.6 % hydrogel was made and poured into glass vials. The concentration of the hydrogel was chosen based on literature findings to best match the elastic modulus of the brain ( 11 , 42 ), done previously via nanoindentation.( 24 ) Microwires inserted into the hydrogel were not easily cleaned, and typically disposed of consequently. Attempts for cleaning were made by placing in boiling water, but subsequent insertions in fresh agarose solutions did not show repeating behavior. Using microwires freshly etched via oxygen plasma, the behavior was very consistent. During insertion experiments, water was added above the hydrogel solution to ensure hydration during the length of the test. In a subset of recording of 0.3% agarose hydrogel, MTS Nano Indenter XP was used ( Fig. S2 e,f ). Probe Fabrication Tungsten wires of varying diameters (7.5, 15, 25, 35, 50, 80, 100 μm) were spooled, coated with Parylene C (PaC), and subsequently cut into 1” segments. Briefly, aggregates of microwires were placed into glass tubes, infiltrated with Apeizon black wax W, and subsequently polished to accomplish the desired tip angles (flat and 24º) and then released. Stainless steel rods with a 150 μm inter-diameter (ID) bore were cut via electron discharge machining (EDM) to ensure no burr existed after the cut. The parylene coating also acted to increase microwire diameter, allowing for each microwire to be coated with the needed amount to have a final OD of 140 μm, greatly reducing the deviation of each microwire as it is inserted into the 150 μm diameter bore of the stainless-steel rods. Once inserted into the rods, each wire was glued in place using EpoTek 301. Etching in oxygen plasma etched the PaC to expose a length of microwire but kept the PaC embedded in the stainless-steel tube. This method allowed for consistent minimization of angular deviation, as the nanoindentation head can only measure force in the z-axis. For electrosharpened wires, bare tungsten wires were individually submerged in 0.9 M KOH. 2V was applied between the wire and a Pt wire counter electrode using a Keithley 2600 SMU and current was recorded. Etching stopped when the submerged part of the wire broke away from the rest of the wire. This break is observed visually by use of a stereoscope and confirmed by a sharp decrease in current between the two electrodes. Sharpened tips were immediately cleaned with deionized water and isopropyl alcohol and stored for safekeeping. Every microwire produced was imaged via SEM and documented for quality and reproducibility after manufacturing and each insertion. Cleaning of the tips post insertion was done in enzymatic soap, followed by acetone, isopropanol, ethanol, DI water, and PBS. Animal and ex vivo brain excision Adult (8 to 10 month) C57BL/6J mice (JAX# 000664) were used for this study. All procedures were approved by Stanford University’s Administrative Panel on Laboratory Animal Care and Academia Sinica Institutional Animal Care and Use Committee (IACUC). Animals were anesthetized with isoflurane and decapitated. The brain was exposed and chilled with ice-cold artificial cerebrospinal fluid (aCSF) containing 125 mM NaCl, 2.5 mM KCl, 2 mM CaCl 2 , 1.25 mM NaH 2 PO 4 , 1 mM MgCl 2 , 25 mM NaHCO 3 , and 15 mM D-glucose. Freshly excised mouse brains were maintained in ice-cold aCSF, and all measurement was done within 1 hour after excision. The mechanical properties of excised brain have been found to remain constant within one hour post-mortem as long as temperature is controlled ( 25 , 27 ). Repeated measurements using a 25 μm diameter wire showed deterioration of force required to insert past the pia beyond 1 hour after excision. As such, use of a quick-exchange system was developed to allow for as many insertions as possible within one hour of beginning the ex vivo preparation. Excised brain was stuck on a petri dish with medical grade cyanoacrylate and filled with aCSF cooled externally in an ice bath ( Fig. 1 ). Surface blood vessels were avoided when possible. Prior to each insertion tests, a thin layer of aCSF was applied to the brain surface to prevent drying. Insertions were all into the motor and sensory cortex areas. Between six to eight insertions were done on each brain, and the position of each subsequent insertion was shifted by 500 μm. The nanoindenter was positioned ∼200 μm above the surface of the brain and inserted at 20 μm/s to a depth of ∼2 - 2.5 mm. The nanoindenter was pulled out rapidly (1 mm/s) to speed up each insertion and consequently how many wires we could test per brain within 1 hour after excision. Wires were cleaned with enzymatic soap and isopropyl alcohol after each insertion to ensure all tissue residue is removed. To ensure reliability of measurements, subsequent brains tests altered order of diameters used. No clear difference in pia puncture behavior was shown between the two sequential orders tested in the time allotted Fig. S5 ), suggesting the mechanical properties of the brain tissue remained stable through the recording periods ( 24 ). The large spread seen in these measurements is likely due to variations in blood vessel density or laminar structures of the mouse cortex. In vivo force measurements Mice were anaesthetized with an intraperitoneal injection of 17 mg/ml ketamine and 1.7 mg/ml xylazine in saline and positioned in a stereotaxic frame. Two bone screws were placed on the skull to provide mechanical stability. A head-plate was centered to the intended surgery site on the right hemisphere and fixed to the bone screws and skull with C&B METABOND Cement (Parkell Inc., USA) or Super-Bond Cement (Sun Medical, Japan). Small (2-3 mm) craniotomies were made over the somatomotor and somatosensory cortices using standard procedures to expose the brain surface ( 43 ). Ringer’s solution was applied on the brain surface at all times to prevent tissue drying which causes bleeding. Dura mater was carefully removed with fine forceps (RS-4955, Roboz Surgical Instruments, USA) to expose the pia surface. Mice were then transferred to the experimental apparatus for force measurements under anaesthetized condition. In vivo two-photon and epifluorescence imaging In vivo imaging were performed in adult (4-6 months old) Tg(Aldh1l1-EGFP,-DTA)D8Rth/J mice (JAX# 026033) and one Thy1-ChR2-YFP (JAX# 07612) mouse for durotomy confirmation, wherein the astrocytes express green fluorescent protein, eGFP. To reveal the blood vessels, a red fluorescent dye, Rhodamine B isothiocyanate-dextran (70kDa) solution (100 μl; 100mg/mL, Sigma, R9379), was injected through the tail vein. The mouse was mounted to an experimental apparatus on a motorized stage under the microscope (objective: XLUMPLFLN-20xW; Olympus BW51, Japan). The nanoindenter and the microwires were mounted to a micromanipulator (MP-285, Sutter, USA) with an estimated 20 degree angle ( Fig. 5a ). Two-photon imaging was performed with a custom built 2-photon laser-scanning microscope equipped with a mode-locked Ti:sapphire laser Mai Tai eHP (Spectra-Physics, USA) ( 44 ). 2-photon imaging with SHG was performed by FemtoSmart Dual (Femtonics, Hungary) equipped with a 1070 nm Fidelity-2 laser (Coherent, USA). Rhodamine B and eGFP were excited at 830 nm and 925 nm light wavelengths, respectively. Three-dimensional image stacks were taken every 50 – 100 μm advances of the microwire. Epifluorescence imaging was performed with an arc lamp and appropriate filter sets (540–580 nm for excitation; 600–640 nm for emission) to monitor the fluorescence of Rhodamine B. A CCD video camera (XC-77, Hamamatsu, Japan) was used to acquire the video at 30 frames per second. Acknowledgments This study was supported by grants from the NINDS/NIH NS014861 (J.B.D. and N.A.M.), the Seed grant from Stanford Wu Tsai Neuroscience Institute (J.B.D. and N.A.M.), the GG gift fund (J.B.D.), the startup fund from Institute of Molecular Biology, Academia Sinica (Y.-W.W), the NSTC 113-2321-B-001-012 (Y.-W.W.), and the NSTC 114-2321-B-001-005 (Y.-W.W.). The authors thank Dr. Peter Cheng-Tang Pan, Mr. Ming-Cheng Lin, and Center for Nano Science and Nano Technology, National Sun Yat-sen University (NSYSU) for NanoIndention measurement ( MTS Nano Indenter XP ). The authors thank Dr. Yu-Yo Sun of the Institute of BioPharmaceutical Sciences, NSYSU, Taiwan for providing animal surgery facility. The authors thank members of the Melosh, Ding, and Wu laboratories for helpful discussions. Portions of the paper were developed from the thesis of A.O. Funder Information Declared National Institute of Neurological Disorders and Stroke , Jun B Ding, Nicholas A Melosh NS014861 Stanford University, https://ror.org/00f54p054 , Jun B Ding, Nicholas A Melosh Seed Grant Institute of Molecular Biology, Academia Sinica, https://ror.org/047sbcx71 , Yu-Wei Wu Startup Fund National Science and Technology Council, https://ror.org/02kv4zf79 , Yu-Wei Wu 114-2321-B-001 -005 , Yu-Wei Wu 113-2321-B-001-012 Footnotes Competing Interest Statement: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. This revised version strengthens experimental validation, clarifies interpretation, expands analysis, and improves transparency and presentation throughout the manuscript. Additional control experiments were performed to validate dura free pia penetration measurements. Insertions through intact moist dura were directly compared with insertions after surgical dura removal. These measurements demonstrate substantially larger puncture forces and prolonged loading when dura is intact. Dura removal was independently confirmed using two photon second harmonic generation imaging. These controls confirm that the forces reported reflect pia penetration mechanics rather than contributions from the composite dura arachnoid pia barrier. The analysis of insertion speed effects has been expanded and clarified. Previously included Neuropixels speed dependent data have been more explicitly interpreted to distinguish changes in force displacement profile shape from penetration metrics. In addition, new slow speed measurements at 5 micrometers per second were performed using 20 and 80 micrometer cylindrical microwires to assess whether insertion rate alters diameter dependent scaling. These data show modest effects on force profiles while preserving the core mechanical scaling relationships. Additional agarose brain mimic measurements were conducted at 0.3 percent concentration. Although puncture force decreases at lower gel concentration, penetration behavior remains qualitatively distinct from brain tissue, reinforcing the conclusion that agarose does not faithfully reproduce in vivo penetration mechanics. Statistical transparency has been improved by explicitly reporting the number of insertions and animals for all main figures. Representative imaging experiments are clearly identified as such. Supplementary materials have been reorganized and expanded, including a consolidated buckling force framework incorporating crystalline silicon to clarify probe design constraints and mechanical trade offs. References 1. ↵ J. J. Jun et al. , Fully integrated silicon probes for high-density recording of neural activity . Nature 551 , 232 – 236 ( 2017 ). OpenUrl CrossRef PubMed 2. ↵ N. A. Steinmetz et al. , Neuropixels 2.0: A miniaturized high-density probe for stable, longterm brain recordings . Science 372 ( 2021 ). 3. ↵ J. Liu et al. , Syringe-injectable electronics . Nature Nanotechnology 10 , 629 – 635 ( 2015 ). OpenUrl PubMed 4. ↵ T. D. Kozai , D. R. Kipke , Insertion shuttle with carboxyl terminated self-assembled monolayer coatings for implanting flexible polymer neural probes in the brain . J Neurosci Methods 184 , 199 – 205 ( 2009 ). OpenUrl CrossRef PubMed Web of Science 5. ↵ Z. J. Du et al. , Ultrasoft microwire neural electrodes improve chronic tissue integration . Acta Biomater 53 , 46 – 58 ( 2017 ). OpenUrl CrossRef PubMed 6. J. Rivnay , H. Wang , L. Fenno , K. Deisseroth , G. G. Malliaras ( 2017 ) Next-generation probes, particles, and proteins for neural interfacing . 7. A. Obaid et al. , Massively parallel microwire arrays integrated with CMOS chips for neural recording . Sci Adv 6 , eaay2789 ( 2020 ). OpenUrl FREE Full Text 8. M. Kollo et al. , CHIME: CMOS-Hosted in vivo Microelectrodes for Massively Scalable Neuronal Recordings . Front Neurosci 14 , 834 ( 2020 ). OpenUrl PubMed 9. ↵ K. Sahasrabuddhe et al. , The Argo: a high channel count recording system for neural recording in vivo . J Neural Eng 18 , 015002 ( 2021 ). OpenUrl PubMed 10. ↵ R. Chen , A. Canales , P. Anikeeva , Neural recording and modulation technologies . Nature Reviews Materials 2 , 16093 – 16093 ( 2017 ). OpenUrl PubMed 11. ↵ A. Lecomte , E. Descamps , C. Bergaud ( 2018 ) A review on mechanical considerations for chronically-implanted neural probes . 12. ↵ L. Luan et al. , Recent Advances in Electrical Neural Interface Engineering: Minimal Invasiveness, Longevity, and Scalability . Neuron 108 , 302 – 321 ( 2020 ). OpenUrl CrossRef PubMed 13. ↵ T. D. Kozai et al. , Ultrasmall implantable composite microelectrodes with bioactive surfaces for chronic neural interfaces . Nat Mater 11 , 1065 – 1073 ( 2012 ). OpenUrl CrossRef PubMed 14. T. D. Yoshida Kozai et al. , Ultrasmall implantable composite microelectrodes with bioactive surfaces for chronic neural interfaces . Nature Materials 11 , 1065 – 1073 ( 2012 ). OpenUrl CrossRef PubMed 15. ↵ P. R. Patel et al. , Chronic in vivo stability assessment of carbon fiber microelectrode arrays . J Neural Eng 13 , 066002 ( 2016 ). OpenUrl CrossRef PubMed 16. ↵ L. Chen et al. , Flexible High-Resolution Force and Dimpling Measurement System for Pia and Dura Penetration During In Vivo Microelectrode Insertion Into Rat Brain . Ieee T Bio-Med Eng 68 , 2602 – 2612 ( 2021 ). OpenUrl 17. ↵ M. A. L. Nicolelis et al. , Chronic, multisite, multielectrode recordings in macaque monkeys . Proceedings of the National Academy of Sciences 100 , 11041 – 11046 ( 2003 ). OpenUrl Abstract / FREE Full Text 18. P. K. Podder , D. Mallick , D. P. Samajdar , A. Bhattacharyya , Design, Simulation and Study of MEMS Based Micro-needles and Micro-pump for Biomedical Applications . Design, Simulation and Study of MEMS Based Micro-needles and Micro-pump for Biomedical Applications , 1 – 3 ( 2011 ). 19. ↵ N. M. Dotson , S. J. Hoffman , B. Goodell , C. M. Gray , A Large-Scale Semi-Chronic Microdrive Recording System for Non-Human Primates . Neuron 96 , 769 - 782 .e762 ( 2017 ). OpenUrl CrossRef PubMed 20. ↵ D. H. Szarowski , W. Shain , Brain responses to micro-machined silicon devices . Brain Research , 1 – 13 ( 2003 ). 21. ↵ A. A. Sharp , A. M. Ortega , D. Restrepo , D. Curran-Everett , K. Gall , In Vivo Penetration Mechanics and Mechanical Properties of Mouse Brain Tissue at Micrometer Scales . IEEE transactions on bio-medical engineering 56 , 45 – 53 ( 2009 ). OpenUrl CrossRef PubMed 22. ↵ F. Casanova , P. R. Carney , M. Sarntinoranont , In vivo evaluation of needle force and friction stress during insertion at varying insertion speed into the brain . Journal of Neuroscience Methods 237 , 79 – 89 ( 2014 ). OpenUrl CrossRef PubMed 23. ↵ N. V. Apollo et al. , Development and Characterization of a Sucrose Microneedle Neural Electrode Delivery System . Advanced Biosystems doi: 10.1002/adbi.201700187 , 1700187-1700187 ( 2017 ). OpenUrl CrossRef 24. ↵ S. Budday et al. , Mechanical properties of gray and white matter brain tissue by indentation . Journal of the Mechanical Behavior of Biomedical Materials 46 , 318 – 330 ( 2015 ). OpenUrl PubMed 25. ↵ A. Gefen , S. S. Margulies , Are in vivo and in situ brain tissues mechanically similar? Journal of Biomechanics 37 , 1339 – 1352 ( 2004 ). OpenUrl CrossRef PubMed Web of Science 26. C. A. Guertler et al. , Mechanical properties of porcine brain tissue in vivo and ex vivo estimated by MR elastography . Journal of Biomechanics doi: 10.1016/j.jbiomech.2018.01.016 ( 2018 ). OpenUrl CrossRef PubMed 27. ↵ Y.-L. Liu et al. , In vivo and ex vivo elastic properties of brain tissues measured with ultrasound elastography . Journal of the Mechanical Behavior of Biomedical Materials 83 , 120 – 125 ( 2018 ). OpenUrl PubMed 28. ↵ R. Deepthi , R. Bhargavi , K. Jagadeesh , M. S. Vijaya , Rheometric Studies on Agarose Gel-A Brain Mimic Material . Sastech 9 , 27 – 30 ( 2010 ). OpenUrl 29. ↵ D. B. MacManus , B. Pierrat , J. G. Murphy , M. D. Gilchrist , Mechanical characterization of the P56 mouse brain under large-deformation dynamic indentation . Scientific Reports 6 , 21569 – 21569 ( 2016 ). OpenUrl PubMed 30. ↵ O. A. Shergold , N. A. Fleck , Mechanisms of deep penetration of soft solids, with application to the injection and wounding of skin . Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 460 , 3037 – 3058 ( 2004 ). OpenUrl 31. ↵ S. Fakhouri , S. B. Hutchens , A. J. Crosby , Puncture mechanics of soft solids . Soft Matter 11 , 4723 – 4730 ( 2015 ). OpenUrl PubMed 32. ↵ X. Y. Ren et al. , Uniaxial extending neural probes for bleeding-absent implantation . Npj Flex Electron 8 ( 2024 ). 33. ↵ T. D. Kozai et al. , Reduction of neurovascular damage resulting from microelectrode insertion into the cerebral cortex using in vivo two-photon mapping . J Neural Eng 7 , 046011 ( 2010 ). OpenUrl CrossRef PubMed 34. ↵ W. Jensen , K. Yoshida , U. G. Hofmann , In-vivo implant mechanics of flexible, silicon-based ACREO microelectrode arrays in rat cerebral cortex . Ieee T Bio-Med Eng 53 , 934 – 940 ( 2006 ). OpenUrl 35. ↵ J. Foggiato , “Chemical Vapor Deposition of Silicon Dioxide Films” . ( 2009 ) , doi: 10.1016/b978-081551442-8.50008-0 . OpenUrl CrossRef 36. ↵ R. Fiáth et al. ( A novel multisite silicon probe for laminar neural recordings . 37. ↵ Z. Fekete , A. Németh , G. Márton , I. Ulbert , A. Pongrácz , Experimental study on the mechanical interaction between silicon neural microprobes and rat dura mater during insertion . Journal of Materials Science: Materials in Medicine doi: 10.1007/s10856-015-5401-y ( 2015 ). OpenUrl CrossRef 38. ↵ C. S. Bjornsson et al. , Effects of insertion conditions on tissue strain and vascular damage during neuroprosthetic device insertion . Journal of Neural Engineering doi: 10.1088/1741-2560/3/3/002 ( 2006 ). OpenUrl CrossRef PubMed Web of Science 39. ↵ B. Rashid , M. Destrade , M. D. Gilchrist , Mechanical characterization of brain tissue in tension at dynamic strain rates . Journal of the Mechanical Behavior of Biomedical Materials doi: 10.1016/j.jmbbm.2012.07.015 ( 2014 ). OpenUrl CrossRef 40. ↵ S. J. Miller et al. , Molecularly defined cortical astroglia subpopulation modulates neurons via secretion of Norrin . Nature Neuroscience doi: 10.1038/s41593-019-0366-7 ( 2019 ). OpenUrl CrossRef 41. ↵ R. Fiáth et al. , Slow insertion of silicon probes improves the quality of acute neuronal recordings . Scientific Reports doi: 10.1038/s41598-018-36816-z ( 2019 ). OpenUrl CrossRef PubMed 42. ↵ Z.-J. Chen et al. , A realistic brain tissue phantom for intraparenchymal infusion studies . Journal of Neurosurgery 101 , 314 – 322 ( 2004 ). OpenUrl CrossRef PubMed 43. ↵ D. A. Dombeck , A. N. Khabbaz , F. Collman , T. L. Adelman , D. W. Tank , Imaging Large-Scale Neural Activity with Cellular Resolution in Awake, Mobile Mice . Neuron doi: 10.1016/j.neuron.2007.08.003 ( 2007 ). OpenUrl CrossRef PubMed Web of Science 44. ↵ Y. W. Wu et al. , Input- and cell-type-specific endocannabinoid-dependent LTD in the striatum . Cell Rep 10 , 75 – 87 ( 2015 ). OpenUrl CrossRef PubMed Back to top Previous Next Posted February 26, 2026. Download PDF Supplementary Material Email Thank you for your interest in spreading the word about bioRxiv. NOTE: Your email address is requested solely to identify you as the sender of this article. Your Email * Your Name * Send To * Enter multiple addresses on separate lines or separate them with commas. You are going to email the following Ultra-sensitive measurement of brain penetration mechanics and blood vessel rupture with microscale probes Message Subject (Your Name) has forwarded a page to you from bioRxiv Message Body (Your Name) thought you would like to see this page from the bioRxiv website. Your Personal Message CAPTCHA This question is for testing whether or not you are a human visitor and to prevent automated spam submissions. Share Ultra-sensitive measurement of brain penetration mechanics and blood vessel rupture with microscale probes Abdulmalik Obaid , Mina-Elraheb Hanna , Song-Wen Huang , Yu-Ting Hu , Omar Jáidar , William Nix , Jun B. Ding , Nicholas A. Melosh , Yu-Wei Wu bioRxiv 2020.09.21.306498; doi: https://doi.org/10.1101/2020.09.21.306498 Share This Article: Copy Citation Tools Ultra-sensitive measurement of brain penetration mechanics and blood vessel rupture with microscale probes Abdulmalik Obaid , Mina-Elraheb Hanna , Song-Wen Huang , Yu-Ting Hu , Omar Jáidar , William Nix , Jun B. Ding , Nicholas A. Melosh , Yu-Wei Wu bioRxiv 2020.09.21.306498; doi: https://doi.org/10.1101/2020.09.21.306498 Citation Manager Formats BibTeX Bookends EasyBib EndNote (tagged) EndNote 8 (xml) Medlars Mendeley Papers RefWorks Tagged Ref Manager RIS Zotero Tweet Widget Facebook Like Google Plus One Subject Area Neuroscience Subject Areas All Articles Animal Behavior and Cognition (7976) Biochemistry (18668) Bioengineering (14789) Bioinformatics (44225) Biophysics (22489) Cancer Biology (19616) Cell Biology (26774) Clinical Trials (138) Developmental Biology (13908) Ecology (20906) Epidemiology (2067) Evolutionary Biology (25347) Genetics (16112) Genomics (23419) Immunology (18631) Microbiology (42297) Molecular Biology (17968) Neuroscience (93036) Paleontology (694) Pathology (2973) Pharmacology and Toxicology (5071) Physiology (8080) Plant Biology (15918) Scientific Communication and Education (2093) Synthetic Biology (4539) Systems Biology (10194) Zoology (2376) window.__CF$cv$params={r:'a39023172d6a4ec4',t:'MTc4OTA2MTE4MA==',u:'01a08c5b336e7fa3b2d333133c393b6d',ut:'iZHf6gsqEL080YWAiJaKlfPqFw4fPNTi.Vz5AP0tEDg-1789061182-1.2.1.1-EWckTqyfICDCNRqqsNM5cGFMiVFG8R_ZaYtEi4Vo8BLcdihXaeJNr5u_WfukpQP2ErceY7uiSSnH431qakad24jnMrNQMmRJgrNRKsZV_Xw',i:60};(function(){if(!document.body)return;var s=document.createElement('script');s.src='/cdn-cgi/challenge-platform/scripts/precursor/main.js';document.head.appendChild(s);})();
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.