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Introduction: The Organ Care System (OCS) is an ex vivo perfusion platform for donor heart preservation. Short/mid‐term post‐transplant outcomes after its use are comparable to standard cold storage (CS). We evaluated long‐term outcomes following its use. Methods: Between 2011 and 2013, 38 patients from a single center were randomized as a part of the PROCEED II trial to receive allografts preserved with CS (n = 19) or OCS (n = 19). Endpoints included 8‐year survival, survival free from graft‐related deaths, freedom from cardiac allograft vasculopathy (CAV), non‐fatal major adverse cardiac events (NF‐MACE), and rejections. Results: Eight‐year survival was 57.9% in the OCS group and 73.7% in the CS group (p =.24). Freedom from CAV was 89.5% in the OCS group and 67.8% in the CS group (p =.13). Freedom from NF‐MACE was 89.5% in the OCS group and 67.5% in the CS group (p =.14). Eight‐year survival free from graft‐related death was equivalent between the two groups (84.2% vs. 84.2%, p =.93). No differences in rejection episodes were observed (all p >.5). Conclusions: In select patients receiving OCS preserved allografts, late post‐transplant survival trended lower than those transplanted with an allograft preserved with CS. This is based on a small single‐center series, and larger numbers are needed to confirm these findings. [ABSTRACT FROM AUTHOR]

Currently, the use of Cagniard apparent resistivity and phase is still the main method and means to process and interpret controlled-source audio-frequency magnetotelluric (CSAMT) sounding data. The CSAMT data must meet the conditions in the far zone to use the magnetotelluric (MT) sounding inversion interpretation method. The conditions in the far zone are directly related to transceiver distance; Hence, the distance measured by the CSAMT method is directly related to the reliability and credibility of the data. In this study, based on the formation wave and ground wave of the analytical expression for the electric field in a uniform half-space condition, the response laws of the formation wave and the ground wave are analyzed. After rigorous mathematical derivation, the formula for determining the optimal transceiver distance of the CSAMT is obtained, and the steps for using this formula in practical application are given. The actual field application verifies the rationality of the derived formula. This study provides a reference for the design of a CSAMT field source, and effectively guides the determination of CSAMT transceiver distance in the field. [ABSTRACT FROM AUTHOR]

As is well known, harmonic functions satisfy the mean value property, i.e. the average of such a function over a ball is equal to its value at the center. This fact naturally raises the question on whether this is a feature characterizing only balls, namely, is a set, for which all harmonic functions satisfy the mean value property, necessarily a ball? This question was investigated by several authors, including Bernard Epstein (1962), Bernard Epstein and Schiffer (1965), Myron Goldstein and Wellington (1971), who obtained a positive answer to this question under suitable additional assumptions. The problem was finally elegantly, completely and positively settled by Ülkü Kuran (1972), with an artful use of elementary techniques. This classical problem has been recently fleshed out by Giovanni Cupini, et al. (in press) who proved a quantitative stability result for the mean value formula, showing that a suitable "mean value gap" (measuring the normalized difference between the average of harmonic functions on a given set and their pointwise value) is bounded from below by the Lebesgue measure of the "gap" between the set and the ball (and, consequently, by the Fraenkel asymmetry of the set). That is, if a domain "almost" satisfies the mean value property for all harmonic functions, then that domain is "almost" a ball. The goal of this note is to investigate some nonlocal counterparts of these results. Some of our arguments rely on fractional potential theory, others on purely nonlocal properties, with no classical counterpart, such as the fact that "all functions are locally fractional harmonic up to a small error". [ABSTRACT FROM AUTHOR]

Let φ be a locally upper bounded Borel measurable function on a Greenian open set Ω in ℝd and, for every x ∈ Ω, let vφ(x) denote the infimum of the integrals of φ with respect to Jensen measures for x on Ω. Twenty years ago, B.J. Cole and T.J.Ransford proved that vφ is the supremum of all subharmonic minorants of φ on X and that the sets { vφ < t}, t ∈ 𝗥, are analytic. In this paper, a different method leading to the inf-sup result establishes at the same time that, in fact, vφ is the minimum of φ and a subharmonic function, and hence Borel measurable. This is presented in the generality of harmonic spaces, where semipolar sets are polar, and the key tools are measurability results for reduced functions on balayage spaces which are of independent interest. [ABSTRACT FROM AUTHOR]

The time-frequency electromagnetic (TFEM) method combines frequency-domain sounding with time-domain sounding to form a comprehensive system so that it is possible to select different frequencies and induce waves according to the objective depth to be explored. During processing not only resistivity but also polarization information can be provided so we can study resistivity as well as predict oil-bearing characteristics simultaneously. Time-domain resistivity information is obtained by pseudo-2D resistivity inversion and frequencydomain IP information is obtained using the Cole-Cole model. Some successful applications in western China show that it provides unique results in an overthrust zone, deep igneous rock investigation, and hydrocarbon prediction. [ABSTRACT FROM AUTHOR]