Statistical interpretation of “femtomolar” detection

Jonghyun Go; Alam, Muhammad A.
July 2009
Applied Physics Letters;7/20/2009, Vol. 95 Issue 3, p033110
Academic Journal
We calculate the statistics of diffusion-limited arrival-time distribution by a Monte Carlo method to suggest a simple statistical resolution of the enduring puzzle of nanobiosensors: a persistent gap between reports of analyte detection at approximately femtomolar concentration and theory suggesting the impossibility of approximately subpicomolar detection at the corresponding incubation time. The incubation time used in the theory is actually the mean incubation time, while experimental conditions suggest that device stability limited the minimum incubation time. The difference in incubation times—both described by characteristic power laws—provides an intuitive explanation of different detection limits anticipated by theory and experiments.


Related Articles

  • Bosonic helium droplets with cationic impurities: Onset of electrostriction and snowball effects from quantum calculations. Coccia, E.; Bodo, E.; Marinetti, F.; Gianturco, F. A.; Yildrim, E.; Yurtsever, M.; Yurtsever, E. // Journal of Chemical Physics;3/28/2007, Vol. 126 Issue 12, p124319 

    Variational Monte Carlo and diffusion Monte Carlo calculations have been carried out for cations such as Li+, Na+, and K+ as dopants of small helium clusters over a range of cluster sizes up to about 12 solvent atoms. The interaction has been modeled through a sum-of-potential picture that...

  • A Monte-Carlo step-by-step simulation code of the non-homogeneous chemistry of the radiolysis of water and aqueous solutions. Part I: theoretical framework and implementation. Plante, Ianik // Radiation & Environmental Biophysics;Aug2011, Vol. 50 Issue 3, p389 

    The importance of the radiolysis of water in irradiation of biological systems has motivated considerable theoretical and experimental work in the radiation chemistry of water and aqueous solutions. In particular, Monte-Carlo simulations of radiation track structure and non-homogeneous chemistry...

  • The structure of para-hydrogen clusters. Warnecke, S.; Sevryuk, M. B.; Ceperley, D. M.; Toennies, J. P.; Guardiola, R.; Navarro, J. // European Physical Journal D -- Atoms, Molecules, Clusters & Opti;Apr2010, Vol. 56 Issue 3, p353 

    The path integral Monte Carlo calculated radial distributions of para-hydrogen clusters $({\rm p}\text{-}{\rm H}_2)_N$ consisting of N = 4-40 molecules interacting via a Lennard-Jones potential at $T=1.5~{\rm K}$ show evidence for additional peaks compared to radial distributions calculated by...

  • Diffusion Monte Carlo study of the equation of state of solid ortho-D2. Operetto, Francesco; Pederiva, Francesco // Journal of Chemical Physics;2/21/2007, Vol. 126 Issue 7, p074704 

    The authors present results of diffusion Monte Carlo calculations for a system of solid ortho-D2 at different densities, for pressure ranging from 0 up to 350 MPa. They compare the equation of state obtained using two of the most used effective intermolecular potentials, i.e., the...

  • From Einstein to generalized diffusion. Boon, Jean Pierre; Lutsko, James F. // AIP Conference Proceedings;12/6/2007, Vol. 965 Issue 1, p157 

    We show that from a generalization of Einstein's master equation for the random walk one obtains a generalized equation for diffusion processes. The master equation is generalized by making the particle jump probability Pj(r) a functional of the particle distribution function f(r,t). If one...

  • Can Water Clusters Ionize HCl under the Conditions of Arctic Stratosphere? 2. Mechanism of Cluster Dissociation. Shevkunov, S. V. // Colloid Journal;Mar/Apr2004, Vol. 66 Issue 2, p230 

    Pseudopotential model described in the preceding communication is used to simulate the H3O+(H2O)nCl– clusters at room and stratospheric temperatures by the Monte Carlo method. Two thermodynamically stable states of the cluster were observed at finite temperatures. The first state...

  • Parsimonious Classification Via Generalized Linear Mixed Models. Kauermann, G.; Ormerod, J. T.; Wand, M. P. // Journal of Classification;2010, Vol. 27 Issue 1, p89 

    We devise a classification algorithm based on generalized linear mixed model (GLMM) technology. The algorithm incorporates spline smoothing, additive model-type structures and model selection. For reasons of speed we employ the Laplace approximation, rather than Monte Carlo methods. Tests on...

  • Variance Reduction Techniques of Importance Sampling Monte Carlo Methods for Pricing Options. Qiang Zhao; Guo Liu; Guiding Gu // Journal of Mathematical Finance;Nov2013, Vol. 3 Issue 4, p431 

    In this paper we discuss the importance sampling Monte Carlo methods for pricing options. The classical importance sampling method is used to eliminate the variance caused by the linear part of the logarithmic function of payoff. The variance caused by the quadratic part is reduced by stratified...

  • Notes on Philosophy of the Monte Carlo Method. Elishakoff, I. // International Applied Mechanics;Jul2003, Vol. 39 Issue 7, p753 

    Some personal (and inevitably biased) thoughts pertinent to the Monte Carlo method are shared with the reader; in this mass production process of papers we are pausing and asking ourselves some nagging questions. Various aspects of the philosophy of the method are discussed. Its role in...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics