Transglutaminase and vascular biology: physiopathologic implications and perspectives for therapeutic interventions

Consistent clinical and experimental evidence points to the involvement of two enzymatic systems (the matrix metalloproteinases-MMPs and the protein crosslinking enzymes transglutaminases) in prominent physiologic roles of endothelium in the maintenance of vascular wall integrity, regulation of blood flow and clotting, and exchange of molecules and cells between the extra- and the intravascular space. These issues are briefly discussed in relation to differentiation of the endothelium within the vascular system, mechanisms of molecular regulation and the effects of their disruption in pathology. While the roles of MMPs are now understood in detail and represent a promising target for pharmacological interventions, much less is known on the roles of transglutaminases in vascular biology. These last enzymes are expressed at extremely high levels in endothelial cells and are involved in cell matrix interactions important to angiogenesis and apoptosis/cell death of endothelial cells, in the control of blood clotting and and in the transfer of molecules and cells across the vascular walls. On the clinical side, these properties are relevant in vascular inflammatory processes, atherosclerosis and tumor metastasis. We summarise the large body of evidence available in this perspective and discuss its implications for the development of new therapeutic strategies.

Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations with Applications to Cell Biology

Mathematics Subject Classification: 65C05, 60G50, 39A10, 92C37

Parameter space of experimental chaotic circuits with high-precision control parameters

The authors thank Professor Iber^e Luiz Caldas for the suggestions and encouragement. The authors F.F.G.d.S., R.M.R., J.C.S., and H.A.A. acknowledge the Brazilian agency CNPq and state agencies FAPEMIG, FAPESP, and FAPESC, and M.S.B. also acknowledges the EPSRC Grant Ref. No. EP/I032606/1.

State-space modelling of geolocation data reveals sex differences in the use of management areas by breeding northern fulmars

We thank Orkney Islands Council for access to Eynhallow and Talisman Energy (UK) Ltd and Marine Scotland for fieldwork and equipment support. Handling and tagging of fulmars was conducted under licences from the British Trust for Ornithology and the UK Home Office. EE was funded by a Marine Alliance for Science and Technology for Scotland/University of Aberdeen College of Life Sciences and Medicine studentship and LQ was supported by a NERC Studentship. Thanks also to the many colleagues who assisted with fieldwork during the project, and to Helen Bailey and Arliss Winship for advice on implementing the state-space model.

State-space modelling of geolocation data reveals sex differences in the use of management areas by breeding northern fulmars

We thank Orkney Islands Council for access to Eynhallow and Talisman Energy (UK) Ltd and Marine Scotland for fieldwork and equipment support. Handling and tagging of fulmars was conducted under licences from the British Trust for Ornithology and the UK Home Office. EE was funded by a Marine Alliance for Science and Technology for Scotland/University of Aberdeen College of Life Sciences and Medicine studentship and LQ was supported by a NERC Studentship. Thanks also to the many colleagues who assisted with fieldwork during the project, and to Helen Bailey and Arliss Winship for advice on implementing the state-space model.

Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.