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    ABSTRACT: We calculate the rate coefficient as a function of temperature for lattice diffusion of hydrogen and its isotopes in α-iron; and also for trapping and escape from a vacancy. We employ Monte-Carlo and molecular dynamics methods based around the Feynman path integral formulation of the quantum partition function. We find large quantum effects including tunnelling at low temperature and recrossing at high temperature due to the finite extent of the particle probability density. In particular these serve to increase the rate of trapping and to decrease the rate of escape at low temperature. Our results also show very clear non classical isotope effects.
    No preview · Article · Jan 2016 · Acta Materialia
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    ABSTRACT: The limbs are a significant evolutionary innovation that enabled vertebrates to diversify and colonise new environments. Tetrapods have two pairs of limbs, forelimbs in the upper body and hindlimbs in the lower body. The morphologies of the forelimbs and hindlimbs are distinct, reflecting their specific locomotory functions although they share many common signaling networks that regulate their development. The paired appendages in vertebrates form at fixed positions along the rostral-caudal axis and this occurs as a consequence of earlier subdivision of the lateral plate mesoderm (LPM) into regions with distinct limb forming potential. In this review, we discuss the molecular mechanisms that confer a broad region of the flank with limb-forming potential and its subsequent refinement into distinct forelimb-forming, hindlimb-forming and interlimb territories.
    Full-text · Article · Nov 2015 · Seminars in Cell and Developmental Biology
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    ABSTRACT: This paper reviews the Euler–Rodrigues formula in the axis–angle representation of rotations, studies its variations and derivations in different mathematical forms as vectors, quaternions and Lie groups and investigates their intrinsic connections. The Euler–Rodrigues formula in the Taylor series expansion is presented and its use as an exponential map of Lie algebras is discussed particularly with a non-normalized vector. The connection between Euler–Rodrigues parameters and the Euler–Rodrigues formula is then demonstrated through quaternion conjugation and the equivalence between quaternion conjugation and an adjoint action of the Lie group is subsequently presented. The paper provides a rich reference for the Euler–Rodrigues formula, the variations and their connections and for their use in rigid body kinematics, dynamics and computer graphics.
    Full-text · Article · Oct 2015 · Mechanism and Machine Theory

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  • Address
    Borough wing, Guy's Hospital, SE1 9RT, London, London, United Kingdom
  • Head of Institution
    Prof Reba rezavi
  • Website
    http://www.kcl.ac.uk/
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Top publications last week by reads

 
Haematologica 01/2016; DOI:10.3324/haematol.2015.136739
376 Reads
 
Brain 01/2016; 139(2):616-630. DOI:10.1093/brain/awv351
286 Reads

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Collaborations

This map visualizes which other institutions researchers from King's College London have collaborated with.

Rg score distribution

See how the RG Scores of researchers from King's College London are distributed.