Interskeletal Variation of Bone Mineral Density, Geometry and Microstructure in Long Bone Shafts under Habitual Loading Yau Ming Lai1, Ling Qin2, Kwong Man Lee2, Chun Wai Chan2, Kai Ming Chan2 1Department of Health Technology and Informatics, The Hong Kong Polytechnic University, Hong Kong, China; 2Department of Orthopaedics and Traumatology, The Chinese University of Hong Kong, Hong Kong, Chin...

The Quranic concept of lapidating devils with meteors has received a variety of interpretations throughout Islamic history. In the past, it was interpreted to mean heavenly meteors thrown at devils in order to prevent them from giving ear to heavenly tidings. However, in the fourteenth century AH and as a result of modern scientific achievements, different non-literal interpretations were sugge...

Recently, T. Bridgeland defined a complex hyperkähler metric on the tangent bundle over space of stability conditions triangulated category, based Riemann–Hilbert problem determined by Donaldson–Thomas invariants. This is encoded in function $$W(z,\theta )$$ satisfying heavenly equation, or potential $$F(z,\theta an isomonodromy equation. After recasting RH into system TBA-type equations, we ob...

The contributions to this special issue of Mutagenesis have been selected to cover the main research areas served by the comet assay, namely genotoxicology, environmental toxicology, human biomonitoring and fundamental investigations into mechanisms of DNA damage and repair. Innovative methods are described, technical issues are explored, and guidelines are given for venturing into relatively n...

We solve the inverse scattering problem for multidimensional vector fields and we use this result to construct the formal solution of the Cauchy problem for the second heavenly equation of Plebanski, a scalar nonlinear partial differential equation in four dimensions relevant in General Relativity, which arises from the commutation of multidimensional Hamiltonian vector fields.

We show that Plebanski’s second heavenly equation, when written as a firstorder nonlinear evolutionary system, admits multi-Hamiltonian structure. Therefore by Magri’s theorem it is a completely integrable system. Thus it is an example of a completely integrable system in four dimensions. PACS numbers: 11.10.Ef, 02.30.Ik, 04.20.Fy Mathematics Subject Classification: 35Q75, 35L65