Journal Article

D. Mampallil, K. Mathwig, S. Kang and S. G. Lemay
Redox couples with unequal diffusion coefficients: effect on redox cycling
Analytical Chemistry 85 (2013) 6053.
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TOC_FcFcplus Redox cycling between two electrodes separated by a narrow gap allows dramatic amplification of the faradaic current. Unlike conventional electrochemistry at a single electrode, however, the mass-transport-limited current is controlled by the diffusion coefficient of both the reduced and oxidized forms of the redox-active species being detected and, counter-intuitively, by the redox state of molecules in the bulk solution outside the gap itself. Using a combination of finite-element simulations, analytical theory and experimental validation, we elucidate the interplay between these interrelated factors. In so doing we generalize previous results obtained in the context of scanning electrochemical microscopy and obtain simple analytical results that are generally applicable to experimental situations where efficient redox cycling takes place.

Journal Article

K. Mathwig and S. G. Lemay
Pushing the Limits of Electrical Detection of Ultralows Flows in Nanofluidic Channels
Micromachines 4 (2013) 138.
Special Issue Selected papers from 1st International Conference on Microfluidic Handling Systems.
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micromachinesTOC2This paper presents improvements in flow detection by electrical cross-correlation spectroscopy. This new technique detects molecular number fluctuations of electrochemically active analyte molecules as they are transported by liquid flow through a nanochannel. The fluctuations are used as a marker of liquid flow as their time of flight in between two consecutive transducers is determined, thereby allowing for the measurement of liquid flow rates in the picoliter-per-minute regime. Here we show an enhanced record-low sensitivity below 1 pL/min by capitalizing on improved electrical instrumentation, an optimized sensor geometry and a smaller channel cross section. We further discuss the impact of sensor geometry on the cross-correlation functions.

Review Article

S. G. Lemay, S. Kang, K. Mathwig and P. S. Singh
Single-Molecule Electrochemistry: Present Status and Outlook
Accounts of Chemical Research 46 (2013) 369.
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accountsThe development of methods for detecting and manipulating matter at the level of individual macromolecules represents one of the key scientific advancements of recent decades. These techniques allow us to get information that is largely unobtainable otherwise, such as the magnitudes of microscopic forces, mechanistic details of catalytic processes, macromolecular population heterogeneities, and time-resolved, step-by-step observation of complex kinetics. Methods based on optical, mechanical, and ionic-conductance signal transduction are particularly developed. However, there is scope for new approaches that can broaden the range of molecular systems that we can study at this ultimate level of sensitivity and for developing new analytical methods relying on single-molecule detection. Approaches based on purely electrical detection are particularly appealing in the latter context, since they can be easily combined with microelectronics or fluidic devices on a single microchip to create large parallel assays at relatively low cost.

A form of electrical signal transduction that has so far remained relatively underdeveloped at the single-molecule level is the direct detection of the charge transferred in electrochemical processes. The reason for this is simple: only a few electrons are transferred per molecule in a typical faradaic reaction, a heterogeneous charge-transfer reaction that occurs at the electrode’s surface. Detecting this tiny amount of charge is impossible using conventional electrochemical instrumentation. A workaround is to use redox cycling, in which the charge transferred is amplified by repeatedly reducing and oxidizing analyte molecules as they randomly diffuse between a pair of electrodes. For this process to be sufficiently efficient, the electrodes must be positioned within less than 100 nm of each other, and the analyte must remain between the electrodes long enough for the measurement to take place. Early efforts focused on tip-based nanoelectrodes, descended from scanning electrochemical microscopy, to create suitable geometries. However, it has been challenging to apply these technologies broadly.

In this Account, we describe our alternative approach based on electrodes embedded in microfabricated nanochannels, so-called nanogap transducers. Microfabrication techniques grant a high level of reproducibility and control over the geometry of the devices, permitting systematic development and characterization. We have employed these devices to demonstrate single-molecule sensitivity. This method shows good agreement with theoretical analysis based on the Brownian motion of discrete molecules, but only once the finite time resolution of the experimental apparatus is taken into account. These results highlight both the random nature of single-molecule signals and the complications that it can introduce in data interpretation. We conclude this Account with a discussion on how scientists can overcome this limitation in the future to create a new experimental platform that can be generally useful for both fundamental studies and analytical applications.

Journal Article

P. S. Singh, E. Kätelhön, K. Mathwig, B. Wolfrum and S. G. Lemay
Stochasticity in Single-Molecule Nanoelectrochemistry: Origins, Consequences, and Solutions
ACS Nano 6 (2012) 9662.
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Electrochemical detection of single molecules is being actively pursued as an enabler of new fundamental experiments and sensitive analytical capabilities. Most attempts to date have relied on redox cycling in a nanogap, which consists of two parallel electrodes separated by a nanoscale distance. While these initial experiments have demonstrated single-molecule detection at the proof-of-concept level, several fundamental obstacles need to be overcome to transform the technique into a realistic detection tool suitable for use in more complex settings (e.g., studying enzyme dynamics at single catalytic event level, probing neuronal exocytosis, etc.). In particular, it has become clearer that stochasticity—the hallmark of most single-molecule measurements—can become the key limiting factor on the quality of the information that can be obtained from single-molecule electrochemical assays. Here we employ random-walk simulations to show that this stochasticity is a universal feature of all single-molecule experiments in the diffusively coupled regime and emerges due to the inherent properties of Brownian motion. We further investigate the intrinsic coupling between stochasticity and detection capability, paying particular attention to the role of the geometry of the detection device and the finite time resolution of measurement systems. We suggest concrete, realizable experimental modifications and approaches to mitigate these limitations. Overall, our theoretical analyses offer a roadmap for optimizing single-molecule electrochemical experiments, which is not only desirable but also indispensable for their wider employment as experimental tools for electrochemical research and as realistic sensing or detection systems.

Conference Proceedings

K. Mathwig, D. Mampallil, S. Kang and S. G. Lemay
Detection of Sub-Picoliter-per-Minute Flows by Electrochemical Autocorrelation Spectroscopy
Proceedings of the 16th International Conference on Miniaturized Systems for Chemistry and Life Science, Okinawa, Japan, Oct. 28 – Nov. 1 (2012) 28.
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This paper reports on electrochemical autocorrelation spectroscopy as a technique to detect ultra-low liquid flow rates as well as to generally study transport of small amounts of molecules in a nanofluidic channel. The molecules undergo pronounced number fluctuations due to Brownian motion. We measure these fluctuations electrically using nanogap transducers embedded in the walls of a nanochannel. When liquid is driven through the channel, also the fluctuations are transported at the same velocity, which we detect by performing an autocorrelation analysis of current-time traces obtained at the detector. Thereby we are able to determine record-low flow rates below 1 pL/min.

Conference Proceedings

K. Mathwig, S. Kang, D. Mampallil and S. G. Lemay
Pushing the Limits of Electrical Detection of Ultralow Flows in Nanofluidic Channels
Proceeding of the 1st International Conference on Microfluidic Handling Systems, Enschede, The Netherlands, Oct. 10 – 12 (2012) 18.
[pdf]

This paper presents improvements in flow detection by electrical cross-correlation spectroscopy. This new technique detects molecular number fluctuations of electrochemically active analyte molecules as they are transported by liquid flow through a nanochannel. These fluctuations are used as a marker of liquid flow as their time of flight in between two consecutive transducers is determined, thereby allowing for the measurement of liquid flow rates in the picoliter-per-minute regime. Here we show an enhanced record-low sensitivity below 1 pL/min by capitalizing on improved electrical instrumentation, an optimized sensor geometry and a smaller channel cross section.

Journal Article

K. Mathwig, D. Mampallil, S. Kang and S. G. Lemay
Electrical Cross-Correlation Spectroscopy: Measuring Picoliter-per-Minute Flows in Nanochannels
Physical Review Letters 109 (2012) 118302.
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→ See accompanying Focus in Physics 5 (2012) 101.
→ See also News in New Scientist 2883 (2012) 15.

We introduce all-electrical cross-correlation spectroscopy of molecular number fluctuations in nano-fluidic channels. Our approach is based on a pair of nanogap electrochemical transducers located downstream from each other in the channel. When liquid is driven through this device, mesoscopic fluctuations in the local density of molecules are transported along the channel. We perform a time-of-flight measurement of these fluctuations by cross-correlating current-time traces obtained at the two detectors. Thereby we are able to detect ultralow liquid flow rates below 10 pL/min. This method constitutes the electrical equivalent of fluorescence cross-correlation spectroscopy.

Journal Article

L. Rassaei*, K. Mathwig*, E. D. Goluch and S. G. Lemay
Hydrodynamic Voltammetry with Nanogap Electrodes
The Journal of Physical Chemistry C 116 (2012) 10913. (*equal contribution)
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Correction: J. Phys. Chem. C 120  (2016) 3086 [link].

We study the influence of convective mass transport on faradaic currents detected under redox cycling conditions at nanogap electrodes embedded in a microchannel. We show that, unlike the case of microelectrodes, the limiting current in the nanofluidic device is not influenced by the sample flow rate in the microfluidic channel. This is due to both the hydraulic resistance of the nanochannel suppressing flow within the device and the inherently diffusion-based mass transport between microelectrodes separated by a 70 nm gap. These devices thus allow electrochemical measurements without the need for any flow velocity correction.

Journal Article

S. Kang, K. Mathwig and S. G. Lemay
Response time of nanofluidic electrochemical sensors
Lab on a Chip 12 (2012) 1262.
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Lab Chip HOT article

Nanofluidic thin-layer cells count among the most sensitive electrochemical sensors built to date. Here we study both experimentally and theoretically the factors that limit the response time of these sensors. We find that the key limiting factor is reversible adsorption of the analyte molecules to the surfaces of the nanofluidic system, a direct consequence of its high surface-to-volume ratio. Our results suggest several means of improving the response time of the sensor, including optimizing the device geometry and tuning the electrode biasing scheme so as to minimize adsorption.

Conference Proceedings

N. Haandbæk, K. Mathwig, R. Streichan, N. Goedecke, S. C. Bürgel, F. Heer and A. Hierlemann
Characterization of Cell Phenotype using Dynamic Vision Sensor and Impedance Spectroscopy
Proceedings of the 15th International Conference on Miniaturized Systems for Chemistry and Life Science, Seattle, USA, Oct. 2 – 6 (2011) 1236.
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This paper reports on an improved method for characterizing single cells within a microfluidic channel, which combines the output of a Dynamic Vision Sensor camera with data from a differential impedance spectroscopy measurement. The combination of optical and impedance data allows the size, shape and position of the cells to be determined in addition to their dielectric properties. Here, we demonstrate the utility of the method by discriminating between normal and budding yeast cells.