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1.
Phys Rev E ; 100(1-1): 012316, 2019 Jul.
Article in English | MEDLINE | ID: mdl-31499788

ABSTRACT

The integration of automotive technology with internet connectivity promises to both dramatically improve transportation while simultaneously introducing the potential for new unknown risks. Internet-connected vehicles are like digital data because they can be targeted for malicious hacking. Unlike digital data, however, internet-connected vehicles are cyberphysical systems that physically interact with each other and their environment. As such, the extension of cybersecurity concerns into the cyberphysical domain introduces new possibilities for self-organized phenomena in traffic flow. Here we study a scenario envisioned by cybersecurity experts leading to a large number of internet-connected vehicles being suddenly and simultaneously disabled. We investigate posthack traffic using agent-based simulations and discover the critical relevance of percolation for probabilistically predicting the outcomes on a multilane road in the immediate aftermath of a vehicle-targeted cyberattack. We develop an analytic percolation-based model to rapidly assess road conditions given the density of disabled vehicles and apply it to study the street network of Manhattan (New York City, New York, USA) revealing the city's vulnerability to this particular cyberphysical attack. While a comprehensive investigation of city-scale traffic around hacked vehicles is an extremely complicated problem, we find that the statistical physics of percolation can provide an estimate of the number of vehicles that critically disrupts citywide traffic flow. Our upper-bound estimate represents a quantification of citywide traffic disruptions when multiple vehicles are hacked.

2.
PLoS One ; 13(3): e0194567, 2018.
Article in English | MEDLINE | ID: mdl-29566102

ABSTRACT

BACKGROUND: Biologics containing growth factors are frequently used to enhance healing after musculoskeletal injuries. One mechanism of action is thought to be though the ability of biologics to induce homing and migration of endogenous mesenchymal stromal cells (MSCs) to a target tissue. However, the ability of biologics to stimulate chemotaxis (directed migration of cells) and chemokinesis (increase rate of cell migration) of MSCs is unknown. HYPOTHESIS/PURPOSE: The aim of this study was to directly compare the ability of biologics including platelet rich plasma (PRP) and bone marrow concentrate (BMC) to induce MSC migration. The hypothesis was that leukocyte-low platelet rich plasma (Llo PRP) would induce migration to a greater extent than leukocyte-high platelet rich plasma (Lhi PRP) or BMC. METHODS: Bone marrow-derived MSCs were isolated from 8 horses. Migration of MSCs toward a biologic (BMC, Llo PRP, and Lhi PRP) or the positive control platelet derived growth factor (PDGF) was continuously traced and measured for 24hrs using time-lapse microscopy and a microfluidics device. Cell migration, chemotaxis and chemokinesis were determined by measurements of displacement, number of cells migrated, and cell flux. RESULTS: All biologics resulted in a significantly greater percentage of MSCs migrated compared to the positive control (PDGF). MSCs migrated further toward BMC compared to Llo PRP. Cell migration, measured as cell flux, was greater toward BMC and Lhi PRP than Llo PRP. CONCLUSION: The biologics BMC and Lhi PRP elicit greater chemotaxis and chemokinesis of MSCs than Llo PRP. However, all biologics recruited the same number of MSCs suggesting that differences in other regenerative effects, such as growth factor concentration, between biologics should be strongly considered when choosing a biologic for treatment of musculoskeletal injuries. The results of this study have the potential to reduce the need, risks, and costs associated with MSC culture and delivery.


Subject(s)
Biological Products/pharmacology , Chemotaxis/drug effects , Mesenchymal Stem Cells/physiology , Musculoskeletal Diseases/therapy , Musculoskeletal System/injuries , Wound Healing/physiology , Animals , Biological Products/therapeutic use , Bone Marrow Transplantation/methods , Cell Differentiation/drug effects , Cell Proliferation/drug effects , Cells, Cultured , Chemotaxis/physiology , Horses , Leukocyte Count , Leukocytes , Osteogenesis , Platelet-Derived Growth Factor/pharmacology , Platelet-Rich Plasma/cytology
3.
Proc Natl Acad Sci U S A ; 114(14): 3590-3595, 2017 04 04.
Article in English | MEDLINE | ID: mdl-28320939

ABSTRACT

A defining feature of mechanical metamaterials is that their properties are determined by the organization of internal structure instead of the raw fabrication materials. This shift of attention to engineering internal degrees of freedom has coaxed relatively simple materials into exhibiting a wide range of remarkable mechanical properties. For practical applications to be realized, however, this nascent understanding of metamaterial design must be translated into a capacity for engineering large-scale structures with prescribed mechanical functionality. Thus, the challenge is to systematically map desired functionality of large-scale structures backward into a design scheme while using finite parameter domains. Such "inverse design" is often complicated by the deep coupling between large-scale structure and local mechanical function, which limits the available design space. Here, we introduce a design strategy for constructing 1D, 2D, and 3D mechanical metamaterials inspired by modular origami and kirigami. Our approach is to assemble a number of modules into a voxelized large-scale structure, where the module's design has a greater number of mechanical design parameters than the number of constraints imposed by bulk assembly. This inequality allows each voxel in the bulk structure to be uniquely assigned mechanical properties independent from its ability to connect and deform with its neighbors. In studying specific examples of large-scale metamaterial structures we show that a decoupling of global structure from local mechanical function allows for a variety of mechanically and topologically complex designs.

4.
Phys Rev Lett ; 117(22): 228301, 2016 Nov 25.
Article in English | MEDLINE | ID: mdl-27925752

ABSTRACT

Collective motion of large human crowds often depends on their density. In extreme cases like heavy metal concerts and black Friday sales events, motion is dominated by physical interactions instead of conventional social norms. Here, we study an active matter model inspired by situations when large groups of people gather at a point of common interest. Our analysis takes an approach developed for jammed granular media and identifies Goldstone modes, soft spots, and stochastic resonance as structurally driven mechanisms for potentially dangerous emergent collective motion.


Subject(s)
Crowding , Models, Theoretical , Motion , Chemical Phenomena , Dangerous Behavior , Humans
6.
Am J Vet Res ; 77(3): 265-74, 2016 Mar.
Article in English | MEDLINE | ID: mdl-26919597

ABSTRACT

OBJECTIVE: To determine morphological characteristics of subchondral bone cysts (SBCs) in medial femoral condyles (MFCs) of adult horses with orthopedic disease. SAMPLE: CT scans of 7 MFCs with SBCs from 6 adult horses. PROCEDURES: CT was used to determine the volume, surface area, and centers of the articular cyst opening and SBC in each MFC. Cysts were ordered from smallest to largest on the basis of volume. Osseous pathological characteristics of the MFC were assessed in the frontal plane. Three-dimensional distance of displacement between the center of the articular cyst opening and center of the cyst was determined for each SBC. Cyst surface area-to-volume ratio was evaluated and compared with that of a true sphere. RESULTS: All SBCs had a defect in the subchondral bone plate at the cranial 15% to 20% of the MFC. Cyst center was located in a caudal, proximal, and abaxial direction with respect to the center of the articular cyst opening for each horse. Small- and intermediate-volume SBCs were irregular and multilobulated, whereas large-volume SBCs were smooth and discrete with a surface area-to-volume ratio approaching that of a sphere. CONCLUSIONS AND CLINICAL RELEVANCE: Consistency in morphological characteristics suggested a common etiopathogenesis for SBCs in MFCs of adult horses. Cyst enlargement may have been attributable to a biomechanical predisposition to decrease the surface area-to-volume ratio, resulting in a spherical cyst.


Subject(s)
Bone Cysts/veterinary , Femur/diagnostic imaging , Horse Diseases/diagnostic imaging , Animals , Bone Cysts/diagnostic imaging , Female , Horses , Male , Tomography, X-Ray Computed/veterinary
7.
Proc Natl Acad Sci U S A ; 112(42): 12938-43, 2015 Oct 20.
Article in English | MEDLINE | ID: mdl-26432881

ABSTRACT

Experimental studies show that plant root morphologies can vary widely from straight gravity-aligned primary roots to fractal-like root architectures. However, the opaqueness of soil makes it difficult to observe how environmental factors modulate these patterns. Here, we combine a transparent hydrogel growth medium with a custom built 3D laser scanner to directly image the morphology of Medicago truncatula primary roots. In our experiments, root growth is obstructed by an inclined plane in the growth medium. As the tilt of this rigid barrier is varied, we find Medicago transitions between randomly directed root coiling, sinusoidal root waving, and normal gravity-aligned morphologies. Although these root phenotypes appear morphologically distinct, our analysis demonstrates the divisions are less well defined, and instead, can be viewed as a 2D biased random walk that seeks the path of steepest decent along the inclined plane. Features of this growth response are remarkably similar to the widely known run-and-tumble chemotactic behavior of Escherichia coli bacteria, where biased random walks are used as optimal strategies for nutrient uptake.


Subject(s)
Gravitropism , Medicago truncatula/growth & development , Plant Roots/growth & development , Biomechanical Phenomena , Plant Roots/physiology
8.
Article in English | MEDLINE | ID: mdl-26274299

ABSTRACT

Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there have been heuristic developments in constructing patterns with desirable qualities, the bridge between origami and physics has yet to be fully developed. To truly consider origami structures as a class of materials, methods akin to solid mechanics need to be developed to understand their long-wavelength behavior. We introduce here a lattice theory for examining the mechanics of origami tessellations in terms of the topology of their crease pattern and the relationship between the folds at each vertex. This formulation provides a general method for associating mechanical properties with periodic folded structures and allows for a concrete connection between more conventional materials and the mechanical metamaterials constructed using origami-based design.

9.
Front Plant Sci ; 6: 274, 2015.
Article in English | MEDLINE | ID: mdl-25972880

ABSTRACT

Research in the field of plant biology has recently demonstrated that inter- and intra-specific interactions belowground can dramatically alter root growth. Our aim was to answer questions related to the effect of inter- vs. intra-specific interactions on the growth and utilization of undisturbed space by fine roots within three dimensions (3D) using micro X-ray computed tomography. To achieve this, Populus tremuloides (quaking aspen) and Picea mariana (black spruce) seedlings were planted into containers as either solitary individuals, or inter-/intra-specific pairs, allowed to grow for 2 months, and 3D metrics developed in order to quantify their use of belowground space. In both aspen and spruce, inter-specific root interactions produced a shift in the vertical distribution of the root system volume, and deepened the average position of root tips when compared to intra-specifically growing seedlings. Inter-specific interactions also increased the minimum distance between root tips belonging to the same root system. There was no effect of belowground interactions on the radial distribution of roots, or the directionality of lateral root growth for either species. In conclusion, we found that significant differences were observed more often when comparing controls (solitary individuals) and paired seedlings (inter- or intra-specific), than when comparing inter- and intra-specifically growing seedlings. This would indicate that competition between neighboring seedlings was more responsible for shifting fine root growth in both species than was neighbor identity. However, significant inter- vs. intra-specific differences were observed, which further emphasizes the importance of biological interactions in competition studies.

11.
Nat Mater ; 14(4): 389-93, 2015 Apr.
Article in English | MEDLINE | ID: mdl-25751075

ABSTRACT

Origami is used beyond purely aesthetic pursuits to design responsive and customizable mechanical metamaterials. However, a generalized physical understanding of origami remains elusive, owing to the challenge of determining whether local kinematic constraints are globally compatible and to an incomplete understanding of how the folded sheet's material properties contribute to the overall mechanical response. Here, we show that the traditional square twist, whose crease pattern has zero degrees of freedom (DOF) and therefore should not be foldable, can nevertheless be folded by accessing bending deformations that are not explicit in the crease pattern. These hidden bending DOF are separated from the crease DOF by an energy gap that gives rise to a geometrically driven critical bifurcation between mono- and bistability. Noting its potential utility for fabricating mechanical switches, we use a temperature-responsive polymer-gel version of the square twist to demonstrate hysteretic folding dynamics at the sub-millimetre scale.


Subject(s)
Biocompatible Materials/chemistry , Biomechanical Phenomena , Computer-Aided Design , Drug Stability , Gels/chemistry , Imaging, Three-Dimensional , Materials Testing , Models, Molecular , Molecular Conformation , Molecular Structure , Polymers/chemistry , Thermodynamics
12.
Biophys J ; 107(7): 1721-30, 2014 Oct 07.
Article in English | MEDLINE | ID: mdl-25296326

ABSTRACT

Among mammalian soft tissues, articular cartilage is particularly interesting because it can endure a lifetime of daily mechanical loading despite having minimal regenerative capacity. This remarkable resilience may be due to the depth-dependent mechanical properties, which have been shown to localize strain and energy dissipation. This paradigm proposes that these properties arise from the depth-dependent collagen fiber orientation. Nevertheless, this structure-function relationship has not yet been quantified. Here, we use confocal elastography, quantitative polarized light microscopy, and Fourier-transform infrared imaging to make same-sample measurements of the depth-dependent shear modulus, collagen fiber organization, and extracellular matrix concentration in neonatal bovine articular cartilage. We find weak correlations between the shear modulus |G(∗)| and both the collagen fiber orientation and polarization. We find a much stronger correlation between |G(∗)| and the concentration of collagen fibers. Interestingly, very small changes in collagen volume fraction vc lead to orders-of-magnitude changes in the modulus with |G(∗)| scaling as (vc - v0)(ξ). Such dependencies are observed in the rheology of other biopolymer networks whose structure exhibits rigidity percolation phase transitions. Along these lines, we propose that the collagen network in articular cartilage is near a percolation threshold that gives rise to these large mechanical variations and localization of strain at the tissue's surface.


Subject(s)
Cartilage, Articular/chemistry , Cartilage, Articular/metabolism , Shear Strength , Animals , Animals, Newborn , Biomechanical Phenomena , Cattle , Collagen/chemistry , Collagen/metabolism , Elasticity Imaging Techniques , Models, Biological , Structure-Activity Relationship
13.
J Orthop Res ; 32(12): 1652-7, 2014 Dec.
Article in English | MEDLINE | ID: mdl-25196502

ABSTRACT

Osteoarthritis (OA) is a disease that involves the erosion and structural weakening of articular cartilage. OA is characterized by the degradation of collagen and proteoglycans in the extracellular matrix (ECM), particularly at the articular surface by proteinases including matrix metalloproteinases (MMPs) and a disintegrin and metalloproteinase with thrombospondin motifs (ADAMTSs).(1) Degradation of collagen and proteoglycans is known to alter shear mechanical properties of cartilage, but study of this phenomenon has been focused on bulk tissue properties. The purpose of this study was to assess microscale cartilage damage induced by trypsin or collagenase using a technique to measure the local shear viscoelastic properties. Safranin-O histology revealed a decrease in proteoglycans near the articular surface after collagenase and trypsin digestions, with proteoglycan depletion increasing in time. Similarly, confocal reflectance micrographs showed increasing collagen degradation in collagenase treated samples, although the collagen network remained intact after trypsin treatment. Both treatments induced changes in shear modulus that were confined to a narrow range (∼400µm) near tissue surface. In addition, collagenase altered the total energy dissipation distribution by up to a factor of 100, with longer digestion times corresponding to higher energy dissipation. The ability to detect local mechanical signatures in tissue composition and mechanics is an important tool for understanding the spatially non-uniform changes that occur in articular cartilage diseases such as OA.


Subject(s)
Cartilage, Articular/physiology , Collagenases/pharmacology , Trypsin/pharmacology , Animals , Biomechanical Phenomena , Cattle , Elasticity , Viscosity
14.
Science ; 345(6197): 647-50, 2014 Aug 08.
Article in English | MEDLINE | ID: mdl-25104381

ABSTRACT

Although broadly admired for its aesthetic qualities, the art of origami is now being recognized also as a framework for mechanical metamaterial design. Working with the Miura-ori tessellation, we find that each unit cell of this crease pattern is mechanically bistable, and by switching between states, the compressive modulus of the overall structure can be rationally and reversibly tuned. By virtue of their interactions, these mechanically stable lattice defects also lead to emergent crystallographic structures such as vacancies, dislocations, and grain boundaries. Each of these structures comes from an arrangement of reversible folds, highlighting a connection between mechanical metamaterials and programmable matter. Given origami's scale-free geometric character, this framework for metamaterial design can be directly transferred to milli-, micro-, and nanometer-size systems.

15.
Phys Rev Lett ; 110(22): 228701, 2013 May 31.
Article in English | MEDLINE | ID: mdl-23767754

ABSTRACT

Human collective behavior can vary from calm to panicked depending on social context. Using videos publicly available online, we study the highly energized collective motion of attendees at heavy metal concerts. We find these extreme social gatherings generate similarly extreme behaviors: a disordered gaslike state called a mosh pit and an ordered vortexlike state called a circle pit. Both phenomena are reproduced in flocking simulations demonstrating that human collective behavior is consistent with the predictions of simplified models.


Subject(s)
Dangerous Behavior , Models, Theoretical , Movement , Music , Social Behavior , Humans
16.
J Orthop Res ; 31(5): 686-91, 2013 May.
Article in English | MEDLINE | ID: mdl-23280608

ABSTRACT

Articular cartilage has well known depth-dependent structure and has recently been shown to have similarly non-uniform depth-dependent mechanical properties. Here, we study anatomic variation of the depth-dependent shear modulus and energy dissipation rate in neonatal bovine knees. The regions we specifically focus on are the patellofemoral groove, trochlea, femoral condyle, and tibial plateau. In every sample, we find a highly compliant region within the first 500 µm of tissue measured from the articular surface, where the local shear modulus is reduced by up to two orders of magnitude. Comparing measurements taken from different anatomic sites, we find statistically significant differences localized within the first 50 µm. Histological images reveal these anatomic variations are associated with differences in collagen density and fiber organization.


Subject(s)
Cartilage, Articular/anatomy & histology , Cartilage, Articular/physiology , Stifle/anatomy & histology , Stifle/physiology , Animals , Animals, Newborn , Biomechanical Phenomena/physiology , Cattle , Collagen/physiology , Femur/anatomy & histology , Femur/physiology , Patella/anatomy & histology , Patella/physiology , Shear Strength/physiology , Stress, Mechanical , Tibia/anatomy & histology , Tibia/physiology , Weight-Bearing/physiology
17.
Proc Natl Acad Sci U S A ; 109(42): 16794-9, 2012 Oct 16.
Article in English | MEDLINE | ID: mdl-23010923

ABSTRACT

We study the primary root growth of wild-type Medicago truncatula plants in heterogeneous environments using 3D time-lapse imaging. The growth medium is a transparent hydrogel consisting of a stiff lower layer and a compliant upper layer. We find that the roots deform into a helical shape just above the gel layer interface before penetrating into the lower layer. This geometry is interpreted as a combination of growth-induced mechanical buckling modulated by the growth medium and a simultaneous twisting near the root tip. We study the helical morphology as the modulus of the upper gel layer is varied and demonstrate that the size of the deformation varies with gel stiffness as expected by a mathematical model based on the theory of buckled rods. Moreover, we show that plant-to-plant variations can be accounted for by biomechanically plausible values of the model parameters.


Subject(s)
Medicago truncatula , Models, Biological , Morphogenesis/physiology , Plant Roots/anatomy & histology , Plant Roots/growth & development , Biomechanical Phenomena , Hydrogel, Polyethylene Glycol Dimethacrylate
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