There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1（PfPMP1）与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用，在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员，通过启动转录不同的var基因变异体为抗原变异提供了分子基础。

疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A

Recent years have witnessed many breakthroughs in research on graphene (the first two-dimensional atomic crystal) as well as a significant advance in the mass production of this material. This one-atom-thick fabric of carbon uniquely combines extreme mechanical strength, exceptionally high electronic and thermal conductivities, impermeability to gases, as well as many other supreme properties, all of which make it highly attractive for numerous applications. Here we review recent progress in graphene research and in the development of production methods, and critically analyse the feasibility of various graphene applications.

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A roadmap for graphene

A fast-Fourier-transform method of topography and interferometry is proposed. By computer processing of a noncontour type of fringe pattern, automatic discrimination is achieved between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour-generation techniques. The method has advantages over moire topography and conventional fringe-contour interferometry in both accuracy and sensitivity. Unlike fringe-scanning techniques, the method is easy to apply because it uses no moving components.

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

A topical review of numerical and experimental studies of supercontinuum generation in photonic crystal fiber is presented over the full range of experimentally reported parameters, from the femtosecond to the continuous-wave regime. Results from numerical simulations are used to discuss the temporal and spectral characteristics of the supercontinuum, and to interpret the physics of the underlying spectral broadening processes. Particular attention is given to the case of supercontinuum generation seeded by femtosecond pulses in the anomalous group velocity dispersion regime of photonic crystal fiber, where the processes of soliton fission, stimulated Raman scattering, and dispersive wave generation are reviewed in detail. The corresponding intensity and phase stability properties of the supercontinuum spectra generated under different conditions are also discussed.

Supercontinuum generation in photonic crystal fiber

Magnetomotive optical coherence tomography (MM-OCT) can be utilized to spatially localize the presence of magnetic particles within tissues or organs. These magnetic particle-containing regions are detected by using the capability of OCT to measure small-scale displacements induced by the activation of an external electromagnet coil typically driven by a harmonic excitation signal. The constraints imposed by the scanning schemes employed and tissue viscoelastic properties limit the speed at which conventional MM-OCT data can be acquired. Realizing that electromagnet coils can be designed to exert MM force on relatively large tissue volumes (comparable or larger than typical OCT imaging fields of view), we show that an order-of-magnitude improvement in three-dimensional (3-D) MM-OCT imaging speed can be achieved by rapid acquisition of a volumetric scan during the activation of the coil. Furthermore, we show volumetric (3-D) MM-OCT imaging over a large imaging depth range by combining this volumetric scan scheme with full-range OCT. Results with tissue equivalent phantoms and a biological tissue are shown to demonstrate this technique.

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Volumetric full-range magnetomotive optical coherence tomography.

An intraoperative probe and a system for optically imaging a surgically significant volume of tissue or other scattering medium. An illumination source generates an illuminating beam that is conveyed to the vicinity of the tissue and a beam splitter, that may be no more than an optical phase reference, splits the illuminating beam into a sample beam along a sample beam path and a reference beam along a reference beam path. A scanning mechanism scans a portion of the sample beam across a section of the scattering medium, while a detector detects return beams from both the reference beam path and the sample beam path and generates an interference signal. A processor computationally moves an effective focus of the sample beam without physical variation of focus of the sample beam. The probe may have a sterilizable fairing that may be detachable.

Hand-held fixed-focus optical probe

Optical coherence tomography in tissue engineering

Vibrationally-sensitive spectroscopic techniques are becoming important clinical tools for real-time, in vivo diagnostics. The molecular information made available with these techniques can provide early diagnostic signs of disease, often before morphological changes occur. We model and experimentally demonstrate a new technique for measuring optical spectroscopy signals using interferometric ranging. This new technique, nonlinear interferometric vibrational imaging (NIVI), uses principles from coherent anti-Stokes Raman scattering (CARS) spectroscopy and optical coherence tomography (OCT) to achieve cross-sectional imaging of the distribution of specific molecular species within a sample. Two CARS signals are generated, one from a known reference molecular species and a second from the unknown molecules in a sample. These coherent signals are interfered with each other using an interferometer setup. The intensity envelope of the interference signal provides a measure of the concentration of selected bonds present in the sample focal volume. The interference fringes themselves can provide phase information that will allow for the exact reconstruction of the vibrational characteristics of the molecules in the sample focal volume. Theoretical background to CARS interferometry is presented, the experimental laser systems are described, and a depth-resolved scan line of a benzene filled cuvette is demonstrated. The experimental results show close resemblance to the theoretical models. The advantages of NIVI over existing vibrational imaging systems and its clinical implications are discussed.

Nonlinear interferometric vibrational imaging of molecular species

Methods and apparatus for identifying microbiological constituents in the middle ear. A spectrometer receives Raman-scattered light from the region of the tympanic membrane and resolves spectral features of the Raman-scattered light. A processor receives the interferometry signal and the Raman signal, and generates a Raman spectrum of the tympanic membrane and material adjacent thereto. In some embodiments of the invention, low-coherence light and substantially monochromatic excitation light are directed onto a tympanic membrane of the ear of a person via an otoscopic tip that abuts the ear canal. An interferometer combines scattered low-coherence light from the ear tissue with a reference signal to generate an interferometric signal.

Stephen A. Boppart

Papers

Volumetric full-range magnetomotive optical coherence tomography.

Hand-held fixed-focus optical probe

Optical coherence tomography in tissue engineering

Nonlinear interferometric vibrational imaging of molecular species

Handheld Device for Identification of Microbiological Constituents in the Middle Ear