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  • 1
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    Prediction uncertainty and optimal experimental design for learning dynamical systems (2016)
    American Institute of Physics (AIP)
    In: Chaos
    Details
    Publication Date: 2016-06-15
    Description: Dynamical systems are frequently used to model biological systems. When these models are fit to data, it is necessary to ascertain the uncertainty in the model fit. Here, we present prediction deviation, a metric of uncertainty that determines the extent to which observed data have constrained the model's predictions. This is accomplished by solving an optimization problem that searches for a pair of models that each provides a good fit for the observed data, yet has maximally different predictions. We develop a method for estimating a priori the impact that additional experiments would have on the prediction deviation, allowing the experimenter to design a set of experiments that would most reduce uncertainty. We use prediction deviation to assess uncertainty in a model of interferon-alpha inhibition of viral infection, and to select a sequence of experiments that reduces this uncertainty. Finally, we prove a theoretical result which shows that prediction deviation provides bounds on the trajectories of the underlying true model. These results show that prediction deviation is a meaningful metric of uncertainty that can be used for optimal experimental design.
    Print ISSN: 1054-1500
    Electronic ISSN: 1089-7682
    Topics: Physics
    Published by American Institute of Physics (AIP)
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  • 2
    Electronic Resource
    Electronic Resource
    Reconstitution of Cell Membrane Structure in vitro and its Transformation into an Excitable System (1962)
    [s.l.] : Nature Publishing Group
    Nature 194 (1962), S. 979-980 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] This experimental structure, invisible in transmitted light, appears as a faint grey sheen in reflected light at a large angle of incidence. It is grossly manipulable, resilient, self-sealing to puncture, liquid in the plane of the bilayer, stains with osmium tetrox-ide and is 60-90 A. thick under ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/194979a0
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  • 3
    Electronic Resource
    Electronic Resource
    Investigation of hydrogenated amorphous carbon coatings for magnetic data storage media by atomic force microscopy (1989)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 55 (1989), S. 1624-1626 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Thin films of hydrogenated amorphous carbon for magnetic data storage media have been examined by atomic force microscopy. The topography of several coatings has been imaged with a lateral resolution of a few nanometers. Histograms of the height distribution and rms values have been calculated to characterize the roughness of the surfaces quantitatively. Variations of these microscopic properties could be related to changes in the macroscopic behavior like friction and wear.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.102218
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  • 4
    Electronic Resource
    Electronic Resource
    Action Potential Phenomena in Experimental Bimolecular Lipid Membranes (1967)
    [s.l.] : Nature Publishing Group
    Nature 213 (1967), S. 603-604 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The membranes, separating two aqueous phases, are made by methods presented elsewhere1'2. The membrane solution is composed of 2-5 per cent commercial purified sphingomyelin in a-tocopherol : chloroform : methanol, 5:3:2. The commercial product is usually repurified by silica gel O column ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/213603a0
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  • 5
    Electronic Resource
    Electronic Resource
    Action Potentials induced in Biomolecular Lipid Membranes (1968)
    [s.l.] : Nature Publishing Group
    Nature 217 (1968), S. 713-719 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Alamethicin, a cyclopeptide, can induce action potentials in biomolecular lipid ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/217713a0
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  • 6
    Electronic Resource
    Electronic Resource
    Piezoelectric inertial stepping motor with spherical rotor (1992)
    [S.l.] : American Institute of Physics (AIP)
    Review of Scientific Instruments 63 (1992), S. 3909-3912 
    Details
    ISSN: 1089-7623
    Source: AIP Digital Archive
    Topics: Physics , Electrical Engineering, Measurement and Control Technology
    Notes: A piezoelectric inertial stepping motor for multiple rotations of small optical or mechanical components has been developed. The spherical rotor can be rotated about two or three orthogonal axes. Angular step resolution of 1 arcsec is achieved and the maximum speed lies in the range of degrees per second. The design is compact and eliminates mechanical backlash. Simple electronic control is achieved with only one wire per rotational axis. Low-voltage signals between 15 and 30 V are sufficient for driving the motor. No voltage is necessary for maintaining the rotor in a static position. A first application is described with laser optics as they are used in the detector of a scanning force microscope, offering the advantage of remote controlled adjustment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1143290
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  • 7
    Electronic Resource
    Electronic Resource
    Nonlinear response of two-dimensional electron plasmas in the conduction channels of field effect transistor structures (1999)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 86 (1999), S. 2083-2088 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The response of an electron gas in a quasitwo-dimensional conduction channel depends on a characteristic frequency ω0, defined as the ratio of the plasma wave velocity to the channel length. For a short-gate high electron mobility transistor ω0 can be in the terahertz range. We have used a self-consistent hydrodynamic model of the confined electron plasma to show that significant nonlinear effects are present in its response to harmonic signals at microwave frequencies much lower than ω0. We obtain the oscillatory time dependence of the terminal currents and study the interior dynamics of the electron plasma. We find that in certain device parameter ranges the essential nonlinearity in the microwave response may lead to nonlinear hydrodynamic effects, such as shock wave propagation in the conduction channel. When the boundary conditions at the source and drain terminals are asymmetric, the nonlinear plasma oscillations result in a nonzero dc component of the terminal current, which could be measured by using standard microwave circuits. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.371013
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  • 8
    Electronic Resource
    Electronic Resource
    Equilibrium island ridge arrays in strained solid films (1999)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 86 (1999), S. 5530-5536 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The equilibrium shape and chemical potential of an array of island ridges in an epitaxially strained solid film are determined from a continuum model describing the Stranski–Krastonow morphology of a thin layer on a substrate. This model incorporates the conditions for mechanical and chemical equilibrium, isotropic surface energy, and misfit strain. Solutions corresponding to periodic arrays of island ridges separated by wetting layers are found in the limit of island height much less than the island width. Our results describe how the island width, shape, and chemical potential vary as the distance between the ridges varies. The scaled island shape is shown to remain relatively constant as the distance between the islands increases. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.371556
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  • 9
    Electronic Resource
    Electronic Resource
    Charge-ring model for the charge-induced confinement enhancement in stacked quantum-dot transistors (1998)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 73 (1998), S. 3429-3431 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A model is proposed to explain the charge-induced confinement enhancement observed in a stacked quantum-dot transistor that has a floating dot on top of a channel quantum dot. The model assumes that the charge on the floating dot distributes on its rim, forming a ring and creating a confinement potential that squeezes the electrons in the channel dot toward its center. The charge on the floating dot can be calculated from the device geometry and from the measured threshold voltage difference before and after the charging. Given the charge on the floating dot, the spatial confinement and the energy level spacing increase induced by the charging can be obtained. The calculation based on the model agrees with the observed increase of the energy level spacing.© 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.122787
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  • 10
    Electronic Resource
    Electronic Resource
    Multifunctional probe microscope for facile operation in ultrahigh vacuum (1993)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 63 (1993), S. 117-119 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A scanning force/tunneling microscope (SFM/STM) for remote controlled operation in ultrahigh vacuum (UHV) is described. The lateral forces, normal forces, and tunneling currents between probe tip and sample can all be measured simultaneously. The optical beam deflection detector and the sample position can be adjusted by means of three compact inertial stepping motors. An UHV-compatible light emitting diode is introduced as a general alternative to the widely used laser diode in the detector. Images, taken at 5×10−11 mbar on Si(111) with STM and noncontact SFM, and on NaF(001) with contact SFM, are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.109732
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