Structure of old Pinus sylvestris dominated forest stands along a geographic and human impact gradient in mid-boreal Fennoscandia

Abstract

Modeling morphogen gradient formation from arbitrary realistically shaped sources.

Much of the analytical modeling of morphogen profiles is based on simplistic scenarios, where the source is abstracted to be point-like and fixed in time, and where only the steady state solution of the morphogen gradient in one dimension is considered. Here we develop a general formalism allowing to model diffusive gradient formation from an arbitrary source. This mathematical framework, based on the Green's function method, applies to various diffusion problems. In this paper, we illustrate our theory with the explicit example of the Bicoid gradient establishment in Drosophila embryos. The gradient formation arises by protein translation from a mRNA distribution followed by morphogen diffusion with linear degradation. We investigate quantitatively the influence of spatial extension and time evolution of the source on the morphogen profile. For different biologically meaningful cases, we obtain explicit analytical expressions for both the steady state and time-dependent 1D problems. We show that extended sources, whether of finite size or normally distributed, give rise to more realistic gradients compared to a single point-source at the origin. Furthermore, the steady state solutions are fully compatible with a decreasing exponential behavior of the profile. We also consider the case of a dynamic source (e.g. bicoid mRNA diffusion) for which a protein profile similar to the ones obtained from static sources can be achieved.

Improved SNR efficiency in gradient echo coronary MRA with high temporal resolution using parallel imaging.

Contemporary coronary magnetic resonance angiography techniques suffer from signal-to-noise ratio (SNR) constraints. We propose a method to enhance SNR in gradient echo coronary magnetic resonance angiography by using sensitivity encoding (SENSE). While the use of sensitivity encoding to improve SNR seems counterintuitive, it can be exploited by reducing the number of radiofrequency excitations during the acquisition window while lowering the signal readout bandwidth, therefore improving the radiofrequency receive to radiofrequency transmit duty cycle. Under certain conditions, this leads to improved SNR. The use of sensitivity encoding for improved SNR in three-dimensional coronary magnetic resonance angiography is investigated using numerical simulations and an in vitro and an in vivo study. A maximum 55% SNR enhancement for coronary magnetic resonance angiography was found both in vitro and in vivo, which is well consistent with the numerical simulations. This method is most suitable for spoiled gradient echo coronary magnetic resonance angiography in which a high temporal and spatial resolution is required.

Informe d'Autors UOC a ISI Web of Knowledge. Gener 2007

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Informe d'Autors UOC a ISI Web of Knowledge. Octubre 2007

Informe sobre les publicacions de recerca de la UOC introduides a ISI Web of Knowledge durant

Informe d'Autors UOC a ISI Web of Knowledge. Novembre 2007

Informe sobre les publicacions de recerca de la UOC introduides a ISI Web of Knowledge durant

Informe d'Autors UOC a ISI Web of Knowledge. Desembre 2007

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Informe d'Autors UOC a ISI Web of Knowledge. Gener-Febrer 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Març-Abril 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Maig-Juny 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Juliol-Agost 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Setembre 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Octubre-Novembre 2008

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Informe d'Autors UOC a ISI Web of Knowledge. Desembre 2008

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