Photochemical reactions on the surface of a circular disk: a theoretical approach to kinetics in restricted two-dimensional space

Khairutdinov, R. F.; Burshtein, K. Ya.; Serpone, Nick

doi:10.1016/1010-6030(96)04340-7

Cited by 15 publications

(21 citation statements)

References 27 publications

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“…For example, it was recently shown that lipid bilayer nanotubes Ϸ50-200 nm in diameter are involved in mediated transport of water-soluble and membrane-bound components between cells (1). Such observations do not only raise important questions about transport mechanisms for macromolecules and organelles in spaces comparable to the size of the cargo itself, but also about how such strong confinement affects diffusion, conformation, and chemical reactions of enclosed molecules and particles (2)(3)(4). Furthermore, along with previous understanding of sorting and routing of individual molecules, e.g., in the Golgi-endoplasmic reticulum network (5,6), these observations point out clearly that what has been an engineering dream for decades, i.e., to create manmade devices that can operate with single molecules in a controlled fashion, is a reality in biology and therefore can be a reality in the world of engineering provided that we procure sufficient knowledge and tools to emulate these systems.…”

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confidence: 99%

Single-file electrophoretic transport and counting of individual DNA molecules in surfactant nanotubes

Tokarz

Åkerman

Olofsson

et al. 2005

Proc. Natl. Acad. Sci. U.S.A.

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We demonstrate a complete nanotube electrophoresis system (nanotube radii in the range of 50 to 150 nm) based on lipid membranes, comprising DNA injection, single-molecule transport, and single-molecule detection. Using gel-capped electrodes, electrophoretic single-file transport of fluorescently labeled dsDNA molecules is observed inside nanotubes. The strong confinement to a channel of molecular dimensions ensures a detection efficiency close to unity and identification of DNA size from its linear relation to the integrated peak intensity. In addition to constituting a nanotechnological device for identification and quantification of single macromolecules or biopolymers, this system provides a method to study their conformational dynamics, reaction kinetics, and transport in cell-like environments.electrophoresis ͉ lipid ͉ conformation C ontrolled transport, interrogation, and manipulation of single molecules in integrated nanoscale devices would provide new tools for fundamental studies of molecular properties, development of ultrasensitive biochemical assays, and new models for studies of transport and reaction phenomena in confined biological systems. For example, it was recently shown that lipid bilayer nanotubes Ϸ50-200 nm in diameter are involved in mediated transport of water-soluble and membrane-bound components between cells (1). Such observations do not only raise important questions about transport mechanisms for macromolecules and organelles in spaces comparable to the size of the cargo itself, but also about how such strong confinement affects diffusion, conformation, and chemical reactions of enclosed molecules and particles (2-4). Furthermore, along with previous understanding of sorting and routing of individual molecules, e.g., in the Golgi-endoplasmic reticulum network (5, 6), these observations point out clearly that what has been an engineering dream for decades, i.e., to create manmade devices that can operate with single molecules in a controlled fashion, is a reality in biology and therefore can be a reality in the world of engineering provided that we procure sufficient knowledge and tools to emulate these systems. However, experimental systems for controlled confinement and transport of materials dissolved in fluids approaching the theoretical size limit, i.e., where the ratio of channel inner diameter and dimensions of the cargo are close to unity, have been difficult to make in combination with transport control. This difficulty is mainly because these systems have been fabricated by using solid-state materials and processing technologies used in the computer industry that are limited in terms of the smallest accessible length scales, topologies, materials properties, complexity of fabrication, and their necessary integration to large-scale instrumentation to drive fluid flow. Nonetheless, powerful micro͞nanofluidic protocols for polymer transport in solid-state nanochannels and pores (7-12) as well as in polydimethylsiloxane channels of a few micrometers in diameter (13, 14) have be...

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mentioning

confidence: 99%

Single-file electrophoretic transport and counting of individual DNA molecules in surfactant nanotubes

Tokarz

Åkerman

Olofsson

et al. 2005

Proc. Natl. Acad. Sci. U.S.A.

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“…The value for n th (∞) above can be obtained by sending t → ∞ in Eqs. (15) and (16). From (17) one sees that asymptotically number of particles is given by…”

Section: Emergence Of Multi-exponential Density Decaymentioning

confidence: 96%

The Pair Approach Applied to Kinetics in Restricted Geometries: Strengths and Weaknesses of the Method

2003

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In the rapidly emerging field of nanotechnology, as well as in biology where chemical reaction phenomena take place in systems with characteristic length scales ranging from micrometer to the nanometer range, understanding of chemical kinetics in restricted geometries is of increasing interest. In particular, there is a need to develop more accurate theoretical methods. We used many-particledensity-function formalism (originally developed to study infinite systems) in its simplest form (pair approach) to study two-species A+B → 0 reaction-diffusion model in a finite volume. For simplicity reasons, it is assumed that geometry of the system is one-dimensional (1d) and closed into the ring to avoid boundary effects. The two types of initial conditions are studied with (i) equal initial number of A and B particles N0,A = N0,B and (ii) initial number of particles is only equal in average N0,A = N0,B . In both cases it was assumed that in the initial state the particles are well mixed. It is found that particle concentration decays exponentially for both types of initial conditions. In the case of the type (ii) initial condition, the results of the pair-like analytical model agrees qualitatively with computer experiment (Monte Carlo simulation), while less agreement was obtained for the type (i) initial condition, and the reasons for such behavior are discussed.

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“…The parameters of the process used in the calculations are chosen so as to achieve the best agreement between the calculated and experimental kinetic dependences. 84,85 Only a few processes occurring on the surface of nanoparticles have been studied to date. The triplet ± triplet annihilation of the zinc tetraphenylporphyrin (ZnTPP) molecules adsorbed on the surface of disk-like MoS 2 nanoparticles, whose size did not exceed 2 nm, has been studied.…”

Section: Specific Features Of the Kinetics Of Chemical Processes On T...mentioning

confidence: 99%

Chemistry of semiconductor nanoparticles

Khairutdinov¹

1998

Russ. Chem. Rev.

118

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Photochemical reactions on the surface of a circular disk: a theoretical approach to kinetics in restricted two-dimensional space

Cited by 15 publications

References 27 publications

Single-file electrophoretic transport and counting of individual DNA molecules in surfactant nanotubes

Single-file electrophoretic transport and counting of individual DNA molecules in surfactant nanotubes

The Pair Approach Applied to Kinetics in Restricted Geometries: Strengths and Weaknesses of the Method

Chemistry of semiconductor nanoparticles

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