Behavior of polycatalytic assemblies in a substrate-displaying matrix

Billiards with Spatial Memory

Many classes of active matter develop spatial memory by encoding information in space. We present a framework based on mathematical billiards, wherein particles remember their past trajectories. Despite its deterministic rules, such a system is strongly nonergodic and exhibits intermittent statistics and complex pattern formation. We show how these features emerge from the dynamic change of topology. Our work illustrates how the dynamics of a single-body system can dramatically change with spatial memory, laying the groundwork to further explore systems with complex memory kernels.

"Turbo-Charged" DNA Motors with Optimized Sequence Enable Single-Molecule Nucleic Acid Sensing

DNA motors that consume chemical energy to generate processive mechanical motion mimic natural motor proteins and have garnered interest due to their potential applications in dynamic nanotechnology, biosensing, and drug delivery. Such motors translocate by a catalytic cycle of binding, cleavage, and rebinding between DNA "legs" on the motor body and RNA "footholds" on a track. Herein, we address the well-documented trade-off between motor speed and processivity and investigate how these parameters are controlled by the affinity between DNA legs and their complementary footholds. Specifically, we explore the role of DNA leg length and GC content in tuning motor performance by dictating the rate of leg-foothold dissociation. Our investigations reveal that motors with 0 % GC content exhibit increased instantaneous velocities of up to 150 nm/sec, three-fold greater than previously reported DNA motors and comparable to the speeds of biological motor proteins. We also demonstrate that the faster speed and weaker forces generated by 0 % GC motors can be leveraged for enhanced capabilities in sensing. We observe single-molecule sensitivity when programming the motors to stall in response to the binding of nucleic acid targets. These findings offer insights for the design of high-performance DNA motors with promising real-world biosensing applications.

Motility of an autonomous protein-based artificial motor that operates via a burnt-bridge principle

Inspired by biology, great progress has been made in creating artificial molecular motors. However, the dream of harnessing proteins - the building blocks selected by nature - to design autonomous motors has so far remained elusive. Here we report the synthesis and characterization of the Lawnmower, an autonomous, protein-based artificial molecular motor comprised of a spherical hub decorated with proteases. Its "burnt-bridge" motion is directed by cleavage of a peptide lawn, promoting motion towards unvisited substrate. We find that Lawnmowers exhibit directional motion with average speeds of up to 80 nm/s, comparable to biological motors. By selectively patterning the peptide lawn on microfabricated tracks, we furthermore show that the Lawnmower is capable of track-guided motion. Our work opens an avenue towards nanotechnology applications of artificial protein motors.

Molecular system for an exponentially fast growing programmable synthetic polymer

In this paper, we demonstrate a molecular system for the first active self-assembly linear DNA polymer that exhibits programmable molecular exponential growth in real time, also the first to implement "internal" parallel insertion that does not rely on adding successive layers to "external" edges for growth. Approaches like this can produce enhanced exponential growth behavior that is less limited by volume and external surface interference, for an early step toward efficiently building two and three dimensional shapes in logarithmic time. We experimentally demonstrate the division of these polymers via the addition of a single DNA complex that competes with the insertion mechanism and results in the exponential growth of a population of polymers per unit time. In the supplementary material, we note that an "extension" beyond conventional Turing machine theory is needed to theoretically analyze exponential growth itself in programmable physical systems. Sequential physical Turing Machines that run a roughly constant number of Turing steps per unit time cannot achieve an exponential growth of structure per time. In contrast, the "active" self-assembly model in this paper, computationally equivalent to a Push-Down Automaton, is exponentially fast when implemented in molecules, but is taxonomically less powerful than a Turing machine. In this sense, a physical Push-Down Automaton can be more powerful than a sequential physical Turing Machine, even though the Turing Machine can compute any computable function. A need for an "extended" computational/physical theory arises, described in the supplementary material section S1.

Receptor Density-Dependent Motility of Influenza Virus Particles on Surface Gradients

Influenza viruses can move across the surface of host cells while interacting with their glycocalyx. This motility may assist in finding or forming locations for cell entry and thereby promote cellular uptake. Because the binding to and cleavage of cell surface receptors forms the driving force for the process, the surface-bound motility of influenza is expected to be dependent on the receptor density. Surface gradients with gradually varying receptor densities are thus a valuable tool to study binding and motility processes of influenza and can function as a mimic for local receptor density variations at the glycocalyx that may steer the directionality of a virus particle in finding the proper site of uptake. We have tracked individual influenza virus particles moving over surfaces with receptor density gradients. We analyzed the extracted virus tracks first at a general level to verify neuraminidase activity and subsequently with increasing detail to quantify the receptor density-dependent behavior on the level of individual virus particles. While a directional bias was not observed, most likely due to limitations of the steepness of the surface gradient, the surface mobility and the probability of sticking were found to be significantly dependent on receptor density. A combination of high surface mobility and high dissociation probability of influenza was observed at low receptor densities, while the opposite occurred at higher receptor densities. These properties result in an effective mechanism for finding high-receptor density patches, which are believed to be a key feature of potential locations for cell entry.

Oligonucleotide-Blocked Streptavidin for Biotinylation Analysis

Binding between streptavidin, or its homologues, to biotin is one of the most widely exploited biological interactions in the biomedical sciences. Controlling the extent of biotinylation is important for meeting the requirements of the intended design and to preserve the native function of the biotin recipient. Within the protein world, a"trial-and-error" optimization approach toward biotinylation reaction conditions is often necessary due to widely varying properties of proteins. Therefore, product analysis is important. We show here that a oligonucleotide-blocked streptavidin, effectively "monovalent streptavidin", can tag biotin moieties individually and the tagged products visualized via a polyacrylamide gel shift assay to reveal the product distribution, i.e., [protein-(biotin)_n] products where n = 1, 2, 3, etc. This is in contrast, and complementary, to current commercially available analytical reagents for biotinylation characterization, which use an absorbance or fluorescence signal to yield the mean number of biotin moieties.

Using Single-Molecule FRET to Evaluate DNA Nanodevices at Work

The observation of DNA nanodevices at a single molecule (i.e., device) level and in real time provides rich information that is typically masked in ensemble measurements. Single-molecule fluorescence resonance energy transfer (smFRET) offers a means to directly follow dynamic conformational or compositional changes that DNA nanodevices undergo while operating, thereby retrieving insights critical for refining them toward optimal function. To be successful, smFRET measurements require careful execution and meticulous data analysis for robust statistics. Here we outline the elemental steps for smFRET experiments on DNA nanodevices, starting from microscope slide preparation for single-molecule observation to data acquisition and analysis.

Three-phase DNA-origami stepper mechanism based on multi-leg interactions

Nanoscale stepper motors such as kinesin and dynein play a key role in numerous natural processes such as mitotic spindle formation during cell division or intracellular organelle transport. Their high efficacy in terms of operational speed and processivity has inspired the investigation of biomimetic technologies based on the use of programmable molecules. In particular, several designs of molecular walkers have been explored using DNA nanotechnology. Here, we study the actuation of a DNA-origami walker on a DNA-origami track based on three principles: 1) octapedal instead of bipedal walking for greater redundancy; 2) three pairs of orthogonal sequences, each of which fuels one repeatable stepping phase for cyclically driven motion with controlled directionality based on strain-based step selection; 3) designed size of only 3.5 nm per step on an origami track. All three principles are innovative in the sense that earlier demonstrations of steppers relied on a maximum of four legs on at least four orthogonal sequences to drive cyclic stepping, and took steps much larger than 3.4 nm in size. Using gel electrophoresis and negative-stain electron microscopy, we demonstrate cyclic actuation of DNA-origami structures through states defined by three sets of specific sequences of anchor points. However, this mechanism was not able to provide the intended control over directionality of movement. DNA-origami-based stepper motors will offer a future platform for investigating how increasing numbers of legs can be exploited to achieve robust stepping with relatively small step sizes.

Adhesive Dynamics Simulations of Highly Polyvalent DNA Motors

Molecular motors, such as myosin and kinesin, perform diverse tasks ranging from vesical transport to bulk muscle contraction. Synthetic molecular motors may eventually be harnessed to perform similar tasks in versatile synthetic systems. The most promising type of synthetic molecular motor, the DNA walker, can undergo processive motion but generally exhibits low speeds and virtually no capacity for force generation. However, we recently showed that highly polyvalent DNA motors (HPDMs) can rival biological motors by translocating at micrometer per minute speeds and generating 100+ pN of force. Accordingly, DNA nanotechnology-based designs may hold promise for the creation of synthetic, force-generating nanomotors. However, the dependencies of HPDM speed and force on tunable design parameters are poorly understood and difficult to characterize experimentally. To overcome this challenge, we present RoloSim, an adhesive dynamics software package for fine-grained simulations of HPDM translocation. RoloSim uses biophysical models for DNA duplex formation and dissociation kinetics to explicitly model tens of thousands of molecular scale interactions. These molecular interactions are then used to calculate the nano- and microscale motions of the motor. We use RoloSim to uncover how motor force and speed scale with several tunable motor properties such as motor size and DNA duplex length. Our results support our previously defined hypothesis that force scales linearly with polyvalency. We also demonstrate that HPDMs can be steered with external force, and we provide design parameters for novel HPDM-based molecular sensor and nanomachine designs.

Optimizing Efficiency and Motility of a Polyvalent Molecular Motor

Molecular motors play a vital role in the transport of material within the cell. A family of motors of growing interest are burnt bridge ratchets (BBRs). BBRs rectify spatial fluctuations into directed motion by creating and destroying motor-substrate bonds. It has been shown that the motility of a BBR can be optimized as a function of the system parameters. However, the amount of energy input required to generate such motion and the resulting efficiency has been less well characterized. Here, using a deterministic model, we calculate the efficiency of a particular type of BBR, namely a polyvalent hub interacting with a surface of substrate. We find that there is an optimal burn rate and substrate concentration that leads to optimal efficiency. Additionally, the substrate turnover rate has important implications on motor efficiency. We also consider the effects of force-dependent unbinding on the efficiency and find that under certain conditions the motor works more efficiently when bond breaking is included. Our results provide guidance for how to optimize the efficiency of BBRs.

Sliding across a surface: Particles with fixed and mobile ligands

A quantitative model of the mobility of ligand-presenting particles at the interface is pivotal to understanding important systems in biology and nanotechnology. In this work, we investigate the emerging dynamics of particles featuring ligands that selectively bind receptors decorating an interface. The formation of a ligand-receptor complex leads to a molecular bridge anchoring the particle to the surface. We consider systems with reversible bridges in which ligand-receptor pairs bind/unbind with finite reaction rates. For a given set of bridges, the particle can explore a tiny fraction of the surface as the extensivity of the bridges is finite. We show how, at timescales longer than the bridges' lifetime, the average position of the particle diffuses away from its initial value. We distill our findings into two analytic equations for the sliding diffusion constant of particles carrying mobile and fixed ligands. We quantitatively validate our theoretical predictions using reaction-diffusion simulations. We compare our findings with results from recent literature studies and discuss the molecular parameters that likely affect the particle's mobility most. Our results, along with recent literature studies, will allow inferring the microscopic parameters at play in complex biological systems from experimental trajectories.

Complexing deoxyribozymes with RNA aptamers for detection of the small molecule theophylline

Biointegrative information processing systems offer a great advantage to autonomous biodevices, as their capacity for biological computation provides the ability to sense the state of more complex environments and better integrate with downstream biological regulation systems. Deoxyribozymes (DNAzymes) and aptamers are of interest to such computational biosensing systems due to the enzymatic properties of DNAzymes and the ligand-inducible conformational structures of aptamers. Herein, we describe a novel method for providing ligand-responsive allosteric control to a DNAzyme using an RNA aptamer. We designed a NOT-logic-compliant E6 DNAzyme to be complementary to an RNA aptamer targeting theophylline, such that the aptamer competitively interacted with either theophylline or the DNAzyme, and disabled the DNAzyme only when theophylline concentration was below a given threshold. Out of our seven designed "complexing aptazymes," three demonstrated effective theophylline-responsive allosteric regulation (2.84 ± 3.75%, 4.97 ± 2.92%, and 8.91 ± 4.19% activity in the absence of theophylline; 46.29 ± 3.36%, 50.70 ± 10.15%, and 61.26 ± 6.18% activity in the presence of theophylline). Moreover, the same three complexing aptazymes also demonstrated the ability to semi-quantitatively determine the concentration of theophylline present in solution, successfully discriminating between therapeutically ineffective (<20 μM), safe (20-100 μM), and toxic (>100 μM) theophylline concentrations. Our method of using an RNA aptamer for ligand-responsive allosteric control of a DNAzyme expands the way aptamers can be configured for biosensing, and suggests a pathway for embedding DNAzymes to provide enhanced information processing and control of biological systems.

Target-Activated, Light-Actuated Three-Dimensional DNA Walker Nanomachine for Amplified miRNA Detection

Accurate analysis of microRNA (miRNA) is promising for elucidation of cancer processes and therapeutic effects. In this study, we reported a new target-activated, light-actuated three-dimensional (3D) DNA walker on gold nanoparticles for sensitive detection of miRNA using pyrene-incorporated DNAzyme analogues. In this design, the target miRNA activated the 3D DNA walker system to releases the walking arm. Then, under ultraviolet light irradiation, the pyrene DNAzyme on the walking arm would consecutively cleave the disulfide bonds of substrate strands and recover the fluorescence signal, thus achieving the amplified miRNA detection. The sophisticated design of the light-actuated 3D DNA walker was systematically investigated. Furthermore, this strategy could also be employed for miRNA analysis in serum samples with satisfactory reproducibility. Notably, the proposed light-actuated 3D DNA walker-based technique eliminated the need of enzymes, cofactors, and RNA backbones, thereby significantly improving the stability and efficiency. Overall, the light-actuated 3D DNA walker-based strategy enabled facile, sensitive, and specific detection of miRNA and provided new perspectives in diagnostics.

Burnt bridge ratchet motor force scales linearly with polyvalency: a computational study

Nano- and micro-scale burnt bridge ratchet motors, which translocate via "guide" molecules that bind to and degrade a field of "fuel" molecules, have recently emerged in several biological and engineering contexts. The capacity of these motors to generate mechanical forces remains an open question. Here, chemomechanical modeling suggests that BBR force scales linearly with the steady-state number of guide-fuel bonds.

Multivalent Diffusive Transport

We present here a model for multivalent diffusive transport whereby a central point-like hub is coupled to multiple feet, which bind to complementary sites on a two-dimensional landscape. The available number of binding interactions is dependent on the number of feet (multivalency) and on their allowed distance from the central hub (span). Using Monte Carlo simulations that implement the Gillespie algorithm, we simulate multivalent diffusive transport processes for 100 distinct walker designs. Informed by our simulation results, we derive an analytical expression for the diffusion coefficient of a general multivalent diffusive process as a function of multivalency, span, and dissociation constant K_d. Our findings can be used to guide the experimental design of multivalent transporters, in particular, providing insight into how to overcome trade-offs between diffusivity and processivity.

Biocomputing Based on DNA Strand Displacement Reactions

The high sequence specificity and precise base complementary pairing principle of DNA provides a rich orthogonal molecular library for molecular programming, making it one of the most promising materials for developing bio-compatible intelligence. In recent years, DNA has been extensively studied and applied in the field of biological computing. Among them, the toehold-mediated strand displacement reaction (SDR) with properties including enzyme free, flexible design and precise control, have been extensively used to construct biological computing circuits. This review provides a systemic overview of SDR design principles and the applications. Strategies for designing DNA-only, enzymes-assisted, other molecules-involved and external stimuli-controlled SDRs are described. The recently realized computing functions and the application of DNA computing in other fields are introduced. Finally, the advantages and challenges of SDR-based computing are discussed.

Molecular Pumps and Motors

Pumps and motors are essential components of the world as we know it. From the complex proteins that sustain our cells, to the mechanical marvels that power industries, much we take for granted is only possible because of pumps and motors. Although molecular pumps and motors have supported life for eons, it is only recently that chemists have made progress toward designing and building artificial forms of the microscopic machinery present in nature. The advent of artificial molecular machines has granted scientists an unprecedented level of control over the relative motion of components of molecules through the development of kinetically controlled, away-from-thermodynamic equilibrium chemistry. We outline the history of pumps and motors, focusing specifically on the innovations that enable the design and synthesis of the artificial molecular machines central to this Perspective. A key insight connecting biomolecular and artificial molecular machines is that the physical motions by which these machines carry out their function are unambiguously in mechanical equilibrium at every instant. The operation of molecular motors and pumps can be described by trajectory thermodynamics, a theory based on the work of Onsager, which is grounded on the firm foundation of the principle of microscopic reversibility. Free energy derived from thermodynamically non-equilibrium reactions kinetically favors some reaction pathways over others. By designing molecules with kinetic asymmetry, one can engineer potential landscapes to harness external energy to drive the formation and maintenance of geometries of component parts of molecules away-from-equilibrium, that would be impossible to achieve by standard synthetic approaches.

Substrate stiffness tunes the dynamics of polyvalent rolling motors

Nature has evolved many mechanisms for achieving directed motion on the subcellular level. The burnt-bridges ratchet (BBR) is one mechanism used to achieve superdiffusive molecular motion over long distances through the successive cleavage of surface-bound energy-rich substrate sites. This mechanism has been associated with both nanoscale and microscale movement, with the latter accomplished through polyvalent interactions between a large hub (e.g. influenza virus) and substrate (e.g. cell surface receptors). Experimental successes in achieving superdiffusive motion by synthetic polyvalent BBRs have raised questions about the dynamics of their motility, including whether rolling or translation is better able to direct motion of microscale spherical hubs. Here we simulate the three-dimensional dynamics of a polyvalent sphere moving on and cleaving an elastic substrate. We find that substrate stiffness plays an important role in controlling both the motor's mode of motility and its directional persistence. As we tune lateral substrate stiffness from soft to stiff we find there exists an intermediate value that optimizes rolling behaviour. We also find that there is an optimal substrate stiffness for maximizing persistence length, while stiffness does not influence as strongly the superdiffusive dynamics of the particle. Lastly, we examine the effect of substrate density, and show that softer landscapes are better able to buffer against decreases in substrate occupancy, with the spherical motor maintaining superdiffusive motion more on softer landscapes than on stiff landscapes as occupancy drops. Our results highlight the importance of surface in controlling the motion of polyvalent BBRs.

Autonomous operation of 3D DNA walkers in living cells for microRNA imaging

Three dimensional (3D) DNA walkers hold great potential in serving as an ideal candidate for signal transduction and amplification in bio-assays. However, the autonomous operation of 3D DNA walkers inside living cells is still few and far between, which could be attributed to the lack of suitable driving forces and moderate efficiency in terms of the cellular uptake of such complex 3D DNA components. Herein, a newly updated autonomously operated and highly integrated 3D DNA walker on Au nanoparticles (Au NPs)/zeolitic imidazolate framework-8 (ZIF-8) was activated in a tumor microenviroment and its signal amplified assay capability in living cells was demonstrated using miRNA as a sensing model biomolecule. Specifically, we assembled a 3D DNA motor, including Zn2+-dependent DNAzyme and substrates on the AuNPs grafted on ZIF-8. After being delivered into a living cell, ZIF-8 was efficiently degraded in the tumor microenvironment (low pH value), locally releasing the Zn2+ and DNA motor. Then, a self-sufficient DNA motor autonomously performed the bio-analytical task of imaging miRNA-10b, with a low detection limit of 34 pM. Also, such self-sufficient 3D walkers allowed real-time imaging of MDA-MB-231 cells by intracellular operation. This method demonstrates the self-sufficient 3D DNA motor's bioanalytical application in living cells which may inspire various other biological applications including gene delivery, therapy, etc.

Three-Dimensional DNA Nanomachine Combined with Toehold-Mediated Strand Displacement Reaction for Sensitive Electrochemical Detection of MiRNA

MicroRNA (miRNA) serves as an ideal biomarker for diagnosis, prognosis, and therapy of various human cancers. The rationally designed three-dimensional (3D) DNA nanomachine was constructed on the matrixes of magnetic beads, and the high density of gold nanoparticles (AuNPs) on each magnetic bead and further enlargement of the AuNPs lead to the anchoring of numerous DNA walkers and signal probes on the AuNPs. With the combination of toehold-mediated strand displacement reaction (SDR), amplified electrochemical detection of miRNA is performed. The existence of miRNA triggers the toehold-mediated SDR and the released DNA walker probe is hybridized with the ferrocene (Fc)-tagged signal probe. The cleavage of the duplex by the nicking endonuclease detaches the signal probe from the magnetic nanocomposites. The oxidation current of Fc moieties was found to be inversely proportional to the concentrations of miRNA-182 between 1.0 fM and 2 pM. The assay is highly selective for discrimination of miRNAs with similar sequences. The feasibility of the method for sensitive detection of the expression levels of miRNA-182 from serum samples of glioma patients at different stages was demonstrated. The sensing protocol holds great promise for early diagnosis and prognosis of the cancer cases with abnormal miRNA expression.

Robotic DNA Nanostructures

Over the past decade, DNA nanotechnology has spawned a broad variety of functional nanostructures tailored toward the enabled state at which applications are coming increasingly in view. One of the branches of these applications is in synthetic biology, where the intrinsic programmability of the DNA nanostructures may pave the way for smart task-specific molecular robotics. In brief, the synthesis of the user-defined artificial DNA nano-objects is based on employing DNA molecules with custom lengths and sequences as building materials that predictably assemble together by obeying Watson-Crick base pairing rules. The general workflow of creating DNA nanoshapes is getting more and more straightforward, and some objects can be designed automatically from the top down. The versatile DNA nano-objects can serve as synthetic tools at the interface with biology, for example, in therapeutics and diagnostics as dynamic logic-gated nanopills, light-, pH-, and thermally driven devices. Such diverse apparatuses can also serve as optical polarizers, sensors and capsules, autonomous cargo-sorting robots, rotary machines, precision measurement tools, as well as electric and magnetic-field directed robotic arms. In this review, we summarize the recent progress in robotic DNA nanostructures, mechanics, and their various implementations.

Effect of polyvalency on tethered molecular walkers on independent one-dimensional tracks

We study the motion of random walkers with residence time bias between first and subsequent visits to a site, as a model for synthetic molecular walkers composed of coupled DNAzyme legs known as molecular spiders. The mechanism of the transient superdiffusion has been explained via the emergence of a boundary between the new and the previously visited sites, and the tendency of the multilegged walker to cling to this boundary, provided residence time for a first visit to a site is longer than for subsequent visits. Using both kinetic Monte Carlo simulation and an analytical approach, we model a system that consists of unipedal walkers, each on its own one-dimensional track, connected by a tether, i.e., a kinematic constraint that no two walkers can be more than a certain distance apart. Even though a single unipedal walker does not at all exhibit directional, superdiffusive motion, we find that a team of unipedal walkers on parallel tracks, connected by a flexible tether, does enjoy a superdiffusive transient. Furthermore, unipedal walker teams exhibit a greater expected number of steps per boundary period and are able to diffuse more quickly than bipedal walker teams, which leads to longer periods of superdiffusion.

Influenza as a molecular walker

The surface of the influenza virus is decorated with the receptor-binding protein hemagglutinin (HA) and the receptor-cleaving enzyme neuraminidase (NA). HA is responsible for host cell recognition, while NA prevents aggregation and entrapment, but the intricate mechanism of how the functions of these glycoproteins cooperate and how they are regulated by mutational responses to environmental pressures remains unclear. Recently, several groups have described the motion of influenza over surfaces and reported that this motion is inhibited by NA inhibitors. We argue that the motion of influenza resembles the motility of artificial receptor-cleaving particles called "molecular spiders". The cleaving of receptors by this type of molecular walkers leads to self-avoiding motion across a surface. When the binding and cleaving rates of molecular spiders are balanced, they move both rapidly and efficiently. The studies of molecular spiders offer new insights into the functional balance of HA and NA, but they do not address the asymmetric distribution of HA and NA on the surface of influenza. We propose that receptor-cleaving molecular walkers could play an important role in the further investigation of the motility of influenza viruses.

Principles and Applications of Nucleic Acid Strand Displacement Reactions

Dynamic DNA nanotechnology, a subfield of DNA nanotechnology, is concerned with the study and application of nucleic acid strand-displacement reactions. Strand-displacement reactions generally proceed by three-way or four-way branch migration and initially were investigated for their relevance to genetic recombination. Through the use of toeholds, which are single-stranded segments of DNA to which an invader strand can bind to initiate branch migration, the rate with which strand displacement reactions proceed can be varied by more than 6 orders of magnitude. In addition, the use of toeholds enables the construction of enzyme-free DNA reaction networks exhibiting complex dynamical behavior. A demonstration of this was provided in the year 2000, in which strand displacement reactions were employed to drive a DNA-based nanomachine (Yurke, B.; et al. Nature 2000, 406, 605-608). Since then, toehold-mediated strand displacement reactions have been used with ever increasing sophistication and the field of dynamic DNA nanotechnology has grown exponentially. Besides molecular machines, the field has produced enzyme-free catalytic systems, all DNA chemical oscillators and the most complex molecular computers yet devised. Enzyme-free catalytic systems can function as chemical amplifiers and as such have received considerable attention for sensing and detection applications in chemistry and medical diagnostics. Strand-displacement reactions have been combined with other enzymatically driven processes and have also been employed within living cells (Groves, B.; et al. Nat. Nanotechnol. 2015, 11, 287-294). Strand-displacement principles have also been applied in synthetic biology to enable artificial gene regulation and computation in bacteria. Given the enormous progress of dynamic DNA nanotechnology over the past years, the field now seems poised for practical application.

Programmable Target-Initiated DNAzyme Walker Walking along a Spatially Isolated and Highly Hybridizable Substrate Track on a Nanoparticle Surface

Synthetic DNA machines that operate on the nanoscale three-dimensional (3D) track have attracted rapidly increasing interest because of their potential in biocomputing, drug delivery, and biosensing applications. Current nanoscale 3D DNA tracks are typically created by self-assembling thiolated oligonucleotides at gold nanoparticle (AuNP) surfaces via the strong Au-S chemistry. However, it remains challenging to accurately control the conformation and orientation of the 3D DNA track on AuNP surfaces and finely adjust the hybridization ability of the 3D track. Herein, we describe for the first time a polyadenine (polyA)-based, spatially isolated 3D DNA track, on which a target-initiated DNAzyme walker moves by a burnt-bridge mechanism with improved efficiency and processivity. PolyA serves as an anchoring block for preferential binding with the AuNP surface, and the appended substrate block adopts an upright conformation that favors the hybridization and subsequent DNAzyme-mediated cleavage. The operation of this target-initiated DNAzyme walker was monitored in real time and at a single-particle level. We tested the cleavage efficiency of 3D substrates with various polyA block lengths, which displayed that the DNAzyme activity was remarkably improved as compared with a thiol-based 3D track. We also explored bioanalytical applications of this DNAzyme nanomachine by movement-triggered cascade signal amplification.

Engineering with Biomolecular Motors

Biomolecular motors, such as the motor protein kinesin, can be used as off-the-shelf components to power hybrid nanosystems. These hybrid systems combine elements from the biological and synthetic toolbox of the nanoengineer and can be used to explore the applications and design principles of active nanosystems. Efforts to advance nanoscale engineering benefit greatly from biological and biophysical research into the operating principles of motor proteins and their biological roles. In return, the process of creating in vitro systems outside of the context of biology can lead to an improved understanding of the physical constraints creating the fitness landscape explored by evolution. However, our main focus is a holistic understanding of the engineering principles applying to systems integrating molecular motors in general. To advance this goal, we and other researchers have designed biomolecular motor-powered nanodevices, which sense, compute, and actuate. In addition to demonstrating that biological solutions can be mimicked in vitro, these devices often demonstrate new paradigms without parallels in current technology. Long-term trends in technology toward the deployment of ever smaller and more numerous motors and computers give us confidence that our work will become increasingly relevant. Here, our discussion aims to step back and look at the big picture. From our perspective, energy efficiency is a key and underappreciated metric in the design of synthetic motors. On the basis of an analogy to ecological principles, we submit that practical molecular motors have to have energy conversion efficiencies of more than 10%, a threshold only exceeded by motor proteins. We also believe that motor and system lifetime is a critical metric and an important topic of investigation. Related questions are if future molecular motors, by necessity, will resemble biomolecular motors in their softness and fragility and have to conform to the "universal performance characteristics of motors", linking the maximum force and mass of any motor, identified by Marden and Allen. The utilization of molecular motors for computing devices emphasizes the interesting relationship among the conversion of energy, extraction of work, and production of information. Our recent work touches upon these topics and discusses molecular clocks as well as a Landauer limit for robotics. What is on the horizon? Just as photovoltaics took advantage of progress in semiconductor fabrication to become commercially viable over a century, one can envision that engineers working with biomolecular motors leverage progress in biotechnology and drug development to create the engines of the future. However, the future source of energy is going to be electricity rather than fossil or biological fuels, a fact that has to be accounted for in our future efforts. In summary, we are convinced that past, ongoing, and future efforts to engineer with biomolecular motors are providing exciting demonstrations and fundamental insights as well as opportunities to wander freely across the borders of engineering, biology, and chemistry.

Spatial Regulation of Biomolecular Interactions with a Switchable Trident-Shaped DNA Nanoactuator

DNA nanostructures with controllable motions and functions have been used as flexible scaffolds to precisely and spatially organize molecular reactions at the nanoscale. The construction of dynamic DNA nanostructures with site-specifically incorporated functional elements is a critical step toward building nanomachines. Artificial self-assembled DNA nanostructures have also been developed to mimic key biological processes like various small biomolecule- and protein-based functional biochemistry pathways. Here, we report a self-assembled dynamic trident-shaped DNA (TS DNA) nanoactuator, in which biomolecules can be tethered to the three "arms" of the TS DNA nanoactuator. The TS DNA nanoactuator is implemented as the mechanical scaffold for the reconfiguration of fluorescent/quenching molecules and the assembly of gold nanoparticles, which exhibit controlled spatial separation. Furthermore, two enzymes (glucose oxidase and horseradish peroxidase) are attached to the two outer arms of the TS DNA nanoactuator, which show an enhanced cascade reaction efficiency compared to free enzymes. The efficiency of the two-enzyme cascade reaction can be spatially regulated by switching the TS DNA nanoactuator between opened, semiopened, and closed states through adding the "thermodynamic drivers" (fuels or antifuels). This is the first report to precisely modulate the relative position of coupled enzyme with multiple states and only based on one dynamic DNA scaffold. The present TS DNA nanoactuator with multistage conformational transition functionality could be applied as a potential platform to precisely and dynamically control the multienzyme pathways and would broaden the scope of DNA nanostructures in single-molecule biology applications.

Rational design of sequestered DNAzyme beacons to enable flexible control of catalytic activities

DNAzymes as functional units play increasingly important roles for DNA nanotechnology, and fine control of the catalytic activities of DNAzymes is a crucial element in the design and construction of functional and dynamic devices. So far, attempts to control cleavage kinetics can be mainly achieved through varying the concentrations of the specific metal ions. Here we present a facile sequestered DNAzyme beacon strategy based on precisely blocking the catalytic core of the DNAzyme, which can flexibly regulate the DNAzyme cleavage kinetics without changing the concentrations of metal ions. This strategy can be extended to couple with a large number of other RNA-cleaving DNAzymes and was successfully applied in designing a dual stem-loop structure probe for arbitrary sequence biosensing, which provides the possibility of scaling up versatile and dynamic DNA devices that use DNAzymes as functional modules.

A kinetically controlled, isothermal method for the detection of single nucleotide mismatches

We describe an isothermal, enzyme-free method to detect single nucleotide differences between oligonucleotides of close homology. The approach exploits kinetic differences in toe-hold-mediated, nucleic acid strand-displacement reactions to detect single nucleotide polymorphisms (SNPs) with essentially "digital" precision. The theoretical underpinning, experimental analyses, predictability, and accuracy of this new method are reported. We demonstrate detection of biologically relevant SNPs and single nucleotide differences in the let-7 family of microRNAs. The method is adaptable to microarray formats, as demonstrated with on-chip detection of SNP variants involved in susceptibility to the therapeutic agents abacavir, Herceptin, and simvastatin.

A cargo-sorting DNA robot

Two critical challenges in the design and synthesis of molecular robots are modularity and algorithm simplicity. We demonstrate three modular building blocks for a DNA robot that performs cargo sorting at the molecular level. A simple algorithm encoding recognition between cargos and their destinations allows for a simple robot design: a single-stranded DNA with one leg and two foot domains for walking, and one arm and one hand domain for picking up and dropping off cargos. The robot explores a two-dimensional testing ground on the surface of DNA origami, picks up multiple cargos of two types that are initially at unordered locations, and delivers them to specified destinations until all molecules are sorted into two distinct piles. The robot is designed to perform a random walk without any energy supply. Exploiting this feature, a single robot can repeatedly sort multiple cargos. Localization on DNA origami allows for distinct cargo-sorting tasks to take place simultaneously in one test tube or for multiple robots to collectively perform the same task.

Displacement and hybridization reactions in aptamer-functionalized hydrogels for biomimetic protein release and signal transduction

Combinatorial external and internal triggering events enable hydrogel to control protein release by mimicking signal transduction of the cell in response to metabolism.

A variety of hydrogels have been synthesized for controlling the release of signaling molecules in applications such as drug delivery and regenerative medicine. However, it remains challenging to synthesize hydrogels with the ability to control the release of signaling molecules sequentially or periodically under physiological conditions as living cells do in response to the variation of metabolism. The purpose of this work was to study a novel biomimetic hydrogel system with the ability of recapitulating the procedure of cellular signal transduction and controlling the sequential release of signaling molecules under physiological conditions. In the presence of a small chemical, the signaling molecule is regulated to change from a DNA-bound state to a free state and the freed signaling molecule is able to regulate intracellular signal transduction and cell migration. Moreover, periodic exposure of the hydrogel system to the small chemical leads to sequential protein release. Since signaling molecules are important for every activity of the cell, this hydrogel system holds potential as a metabolism-responsive platform for controlled release of signaling molecules and cell regulation in various applications.

A Simple, Cleated DNA Walker That Hangs on to Surfaces

We designed and demonstrated a single-legged or unipedal walker that has a "cleat" that allows it to persistently associate with a track and make autonomous decisions about movement. The walker is highly processive over long periods of time, as shown by its movement over a microparticle surface suffused with substrate. The simple design can be readily optimized on the basis of simple energetic considerations. The walker can be used for signal amplification and should prove especially valuable for programming amorphous computations within chemical reaction networks.

Fabrication of DNA nanotubes with an array of exterior magnetic nanoparticles

Described here a methodology for arraying of magnetic nanoparticles (MNPs) on the surface of DNA nanotubes (DNTs). Positioning of magnetic nanoparticles at exterior surface of DNTs were shaped after self-assembling of oligonucleotide staples within an M13mp18 DNA scaffold via an origami process. The staples were partially labeled with biotin to be arrayed at the surface of DNTs. Gel retardation assay of the DNTs carrying magnetic nanoparticles indicated a reversely behavioral electrophoretic movement in comparison to the nanotubes have been demonstrated previously. Also, high resolution transmission electron microscopy confirmed positioning magnetic nanoparticles at the exterior surface of DNTs, correctly. Ultrastructural characteristics of these DNA nanotubes using atomic force microscopy demonstrated topographic heights on their surfaces formed through positioning of magnetic nanoparticles outside the tubules. This nanoarchitecture would be potential for multiple arraying of nanoparticles that those be useful as functionalized chimeric nanocarriers for developing novel nanodrugs and nanobiosensors.

DNA-based nanoscale walking devices and their applications

Herein we review DNA-based nanoscale walking devices including unipedal, bipedal, multipedal, and other novel walking devices and their applications.

A catalytic assembled enzyme-free three-dimensional DNA walker and its sensing application

A novel and enzyme-free three-dimensional DNA walker powered by catalytic assembly has been constructed.

Enzymatic Activities of Polycatalytic Complexes with Nonprocessive Cellulases Immobilized on the Surface of Magnetic Nanoparticles

Polycatalytic enzyme complexes made by immobilization of industrial enzymes on polymer- or nanoparticle-based scaffolds are technologically attractive due to their recyclability and their improved substrate binding and catalytic activities. Herein, we report the synthesis of polycatalytic complexes by the immobilization of nonprocessive cellulases on the surface of colloidal polymers with a magnetic nanoparticle core and the study of their binding and catalytic activities. These polycatalytic cellulase complexes have increased binding affinity for the substrate. But due to their larger size, these complexes were unable to access to the internal surfaces of cellulose and have significantly lower binding capacity when compared to those of the corresponding free enzymes. Analysis of released soluble sugars indicated that the formation of complexes may promote the prospect of having consistent, multiple attacks on cellulose substrate. Once bound to the substrate, polycatalytic complexes tend to remain on the surface with very limited mobility due to their strong, multivalent binding to cellulose. Hence, the overall performance of polycatalytic complexes is limited by its substrate accessibility as well as mobility on the substrate surface.

Enzyme-Powered Three-Dimensional DNA Nanomachine for DNA Walking, Payload Release, and Biosensing

Herein, we report a DNA nanomachine, built from a DNA-functionalized gold nanoparticle (DNA-AuNP), which moves a DNA walker along a three-dimensional (3-D) DNA-AuNP track and executes the task of releasing payloads. The movement of the DNA walker is powered by a nicking endonuclease that cleaves specific DNA substrates on the track. During the movement, each DNA walker cleaves multiple substrates, resulting in the rapid release of payloads (predesigned DNA sequences and their conjugates). The 3-D DNA nanomachine is highly efficient due to the high local effective concentrations of all DNA components that have been co-conjugated on the same AuNP. Moreover, the activity of the 3-D DNA nanomachine can be controlled by introducing a protecting DNA probe that can hybridize to or dehybridize from the DNA walker in a target-specific manner. This property allows us to tailor the DNA nanomachine into a DNA nanosensor that is able to achieve rapid, isothermal, and homogeneous signal amplification for specific nucleic acids in both buffer and a complicated biomatrix.

High-speed DNA-based rolling motors powered by RNase H

DNA-based machines that walk by converting chemical energy into controlled motion could be of use in applications such as next-generation sensors, drug-delivery platforms and biological computing. Despite their exquisite programmability, DNA-based walkers are challenging to work with because of their low fidelity and slow rates (∼1 nm min(-1)). Here we report DNA-based machines that roll rather than walk, and consequently have a maximum speed and processivity that is three orders of magnitude greater than the maximum for conventional DNA motors. The motors are made from DNA-coated spherical particles that hybridize to a surface modified with complementary RNA; the motion is achieved through the addition of RNase H, which selectively hydrolyses the hybridized RNA. The spherical motors can move in a self-avoiding manner, and anisotropic particles, such as dimerized or rod-shaped particles, can travel linearly without a track or external force. We also show that the motors can be used to detect single nucleotide polymorphism by measuring particle displacement using a smartphone camera.