Distal Flows Research Articles

Assessing volcanic hazard and exposure in a data poor context: Case study for Ethiopia, Kenya, and Cabo Verde

Volcanoes produce a wide variety of hazards across varying spatial and temporal scales. When data are scarce on past eruptions and hazards, it can falsely imply low hazard recurrence and create challenges for robust hazard and risk assessment. Data quality and quantity vary considerably across different regions, volcanoes, and eruptions. Yet, there is a need for regional to global scale information on volcanic hazard and risk, where consistent and reproducible methods are applied. Such information is used by international stakeholders to inform funding priorities, risk reduction policies, and to highlight data and knowledge gaps, contributing towards the Sendai Framework's Sustainable Development Goals. Challenges in gathering this information can be most problematic where large populations are exposed to potential volcanic hazards but there are few comprehensive eruptive histories, as in sub-Saharan Africa. Here, we present a unique study to evaluate hazard and exposure for nine volcanoes in Ethiopia, Kenya and Cabo Verde, as part of an international project to develop multi-hazard Disaster Risk Country Profiles. We applied a two-stage expert elicitation process to volcanoes for the first time, and coupled the results with vent mapping, numerical hazard modelling, and GIS analysis of eight exposure categories to identify where high volcanic hazard and exposure coincide. Testing the sensitivity of our findings to input assumptions, to better understand where uncertainties lay, showed that improving our knowledge of past eruption volumes, frequencies, and dates was key to reducing uncertainty. Expert elicitations proposed that Fogo, Cabo Verde, is the most likely to erupt (eruption on average every 25 years), while Fentale (Ethiopia), Longonot and Suswa (Kenya) were elicited to have the greatest probability for a large explosive (VEI ≥ 4) eruption (on average every 400 years). Menengai and Longonot produce the larger exposure values across most VEI scenarios and categories of exposure, but population and GDP exposure was also large for more distal tephra fall and flows at Corbetti and Suswa, with order of magnitude increases expected between 2010 estimates and 2050 projections. Potentially high impact scenarios include tephra being dispersed across large cities (e.g. Nairobi, 55 km from Suswa) and key infrastructure (e.g. geothermal power station ∼2.5 km from Aluto), as well as important tourist destinations, seats of government and emergency management operations (e.g. islands east of Fogo). This study provided the first hazard and exposure assessment of its kind for these volcanoes and drew attention to volcanic risk at the levels required to inform policy and future in-country funding opportunities.

Unravelling the genetic mechanisms and paleoenvironmental controls of early Cretaceous Oyster Mass occurrences (OMOs), Neuquén Basin, west-central Argentina

Lower Valanginian oyster mass occurrences (OMOs) from the Neuquén Basin of Argentina are analyzed using a multidisciplinary approach, including the description of their sedimentological signature and stratigraphic contacts, assessment of taphonomical attributes, and paleontological and paleoecological characteristics. These OMOs present a wide distribution in the study area, with lateral continuity for at least 2.5 km and up to 12 m thick. They occur within a single stratigraphic interval, constrained in terms of sequence stratigraphy and biostratigraphy. Three stacked tabular OMOs separated by mudstone levels were recorded in all the studied localities. The associated lithofacies point to a mainly outer ramp paleoenvironment, below storm wave base and occasionally disturbed by exceptional, distal storm flows. Internally, the OMOs share a common vertical trend characterized, from base to top, by a gradual increase in oyster abundance and a transition from mainly reclining, disarticulated oysters to articulated, cementing oysters conforming build-ups. Hence, a mainly biogenic origin is proposed, with autobiostromes grading vertically to bioherms. This vertical trend was interpreted in terms of development stages, namely, colonization, expansion, climax and extinction, which were in turn related to specific paleoenvironmental controls. Particularly, the OMOs establishment and development were associated to low sedimentation rates, salinity fluctuations and high nutrient input as a result of high primary productivity. At a larger scale, the overall paleoenvironmental conditions and subtropical geographical position of the basin were detrimental for most reef builders typical of the Cretaceous period (e.g., corals, sponges, rudists), and could have favored oyster proliferation and OMOs development instead.

Morphological transitions between lobate resurfacing and distal breakout lava flows in flood basalts: insights from analog experiments

Continental flood basalts (CFBs) are dominated by two characteristic lava morphologies. The first type, referred to as ‘compound’ or ‘hummocky pāhoehoe,’ exhibits pillow-like lava flow lobes with cross-sections of ~ 0.5–2 m and thin chilled margins. The second type, referred to as ‘simple’ or ‘sheet lobes’ preserves more massive, inflated flow interiors that are laterally continuous on scales of 100s of meters to kilometers. Previous hypotheses suggest that two factors may contribute to stratigraphic changes in morphology from ‘compound’ to ‘simple’: 1) increased eruption duration or 2) increased extrusion rate. We test the hypothesis that a large increase in extrusion rate would result in flow morphology transitioning from multiple small lobes to inflated sheet lobes due to a shift in flow propagation from intraflow resurfacing-dominated to marginal breakout-dominated. Using polyethylene glycol (PEG) wax extruded into a circular water-filled tank 130 cm in diameter, we produced larger, more complex experiments than previous studies. Our efforts simulated more complex lava fields which change flow morphology with distance from the eruptive vent, characteristic of CFBs. Whereas previous PEG studies linked extrusion rate to near-source surface morphologies, our experiments evaluated how flow propagation mechanisms change with variable extrusion rate and distance from the source. Two flow propagation styles were identified: 1) resurfacing, in which molten material breaks through the surface of a flow and covers the older crust and 2) marginal breakouts, in which molten material extends beyond the crust at the active distal margin of the flow. Flows that propagated via marginal breakouts were found to have lower proportions of resurfaced area and vice versa. We show that significant resurfacing is needed to preserve internal chilled boundaries within a flow and a low-extrusion-rate surface morphology, whereas marginal breakout-dominated flows tend to inflate the pillow-like surface morphology preserving a massive interior at great distances from the vent. Higher and more steady extrusion rates tend to decrease the extent of resurfacing and increase the distance between the source and preserved low-extrusion-rate surface morphologies. We find that an extrusion rate increase equivalent to a jump in the extrusion rate scaling factor, Ψ value, from < 1 to > 5 would be necessary to ensure a switch from resurfacing-dominated lobate morphologies to marginal breakout-dominated propagation style. This amounts to a factor of 125 increase in effusion rate for fissure eruptions and a factor of 625 for point source eruptions, assuming no change in vent geometry. This would be equivalent to an effusion rate of 0.2 m3/s, as documented in 1987–1990 Kīlauea eruptions, increasing to 125 m3/s, which was commonly measured during the 2014 Holuhraun eruption in Iceland and the 2018 eruption at Leilani Estates in Hawai‘i. Thus, we propose that continental flood basalts do not require unusually large effusion rates, but instead were active for a longer and more consistent time period than smaller-volume eruptions.

The Relationship Between the Presence of Distal Collateral Lymphatic Flows and Obesity in Patients with Bilateral Lower Extremity Edema

Objective: This study aimed to comprehensively assess radionuclide imaging findings to aid in the clinical diagnosis of early-stage lower extremity lymphedema. Methods: Our retrospective study included 135 patients who underwent lymphoscintigraphy for bilateral lower extremity edema (BLEE) between 2017 and 2022. Of these patients, 117 (86.7%) were female. Lymphoscintigraphic images were acquired at the 10th, 40th, and 2nd hours post-injection of radiopharmaceuticals. Bilateral lower extremity lymphatic congestion (MLC) was observed in the 2nd-hour images of radionuclide imaging (RI), with an associated accumulation of activity in the inguinal lymph nodes. All patients presented with lower extremity edema. Results: Among our patients, 55 (40.7%) were classified as obese. Bilateral distal collateral flows (BDCF) were identified in 60 (44.4%) of our patients, all of whom were female. Within this group, 13 (21.7%) were obese, and 11 (18.3%) exhibited distal and direct muscle lymphatic congestion (DDMLC). DDMLC was present in 63 (46.7%) patients. Unilateral distal collateral flow (UDCF) was detected in 75 (55.6%) of the patients with BLEE, with 67 (89.3%) of them being obese. Obese patients exhibited a significantly higher prevalence of both UDCF and DDMLC (p: 0.0005). Detailed results can be found in Table 1-4 and Figures 3 and 4. Conclusion: Functional bilateral radionuclide imaging methods provide valuable data for physicians, enabling bilateral and comparative assessments. However, particular attention should be paid to the interpretation of asymmetric images, especially in specific patient groups.

Evaluation of Interstitium by Lymphatic Uptake Method in Chronic Bilateral Lower Extremity Edema.

Symmetrical bilateral lower extremity edema (BLEE) needs to be treated effectively. Finding the cause of this condition increases the success of treatment. Fluid increase in the interstitial space (FIIS) is always present as a cause or a result. Subcutaneously administered nanocolloid is transported by uptake by lymphatic pre-collectors, and this uptake takes place in the interstitium. We aimed to evaluate the interstitium with labeled nanocolloid and contribute to the differential diagnosis in cases with BLEE. Our retrospective study included 74 female patients who underwent lymphoscintigraphy for bilateral lower extremity edema. Technetium 99m (Tc-99m) albumin colloid (nanocolloid), a marked colloidal suspension, was applied subcutaneously to two different areas on the dorsum of both feet with a 26 gauge needle The dose volume administered intradermally is approximately 0.2-0.3 ml, and each injector has 22-25MBq of activity. Siemens E-Cam dual-headed SPECT gamma camera was used for imaging. Dynamic and scanning images were taken with a high-resolution parallel hole collimator. Ankle images were re-evaluated by two nuclear medicine specialists, independent of physical examination and scintigraphy findings. 74 female patients with bilateral lower extremity edema were divided into two groups based on physical examination and lymphoscintigraphy findings. There were 40 and 34 patients in Groups I and II, respectively. In the physical examination, patients in Group I were evaluated as lymphedema, and patients in Group II were evaluated as lipedema. The main lymphatic channel (MLC) was not observed in any of the patients in Group I in the early images, and the MLC was observed at a low level in the late imaging in 12 patients. The sensitivity of the presence of distal collateral flows (DCF) in the presence of significant MLC in early imaging in demonstrating increased fluid in the interstitial space (FIIS) was calculated as 80%, specificity as 80%, PPV 80%, and NPV 84%. While MLC is present in early images, concomitant DCF occurs in cases of lipoedema. The transport of increased lymph fluid production in this group of patients can be covered by the existing MLC. Although MLC is evident, the presence of significant DCF supports the presence of lipedema. It can be used as an important parameter in the diagnosis in early cases where physical examination findings are not evident.

On distal flows and common fixed point theorems in Banach spaces

A semigroup S consisting of self-mappings defined on a set B of a Banach space X is said to be a distal flow on B provided0∉{Sx−Sy:S∈S}‾,for allx≠y∈B. In this paper, we show that if T is a nonexpansive self-mapping defined on a nonempty compact convex set C of X so that S≡{Tn:n∈N} forms a distal flow, then T:C→C is a surjective isometry; in particular, if C is of finite dimension, then T is a surjective affine isometry. Consequently, i) every distal S of nonexpansive mappings on a convex compact set C consists of surjective self-isometries on C; ii) all S in the distal S have a common fixed point in the Chebyshev center of C; iii) if, in addition, C is finite dimensional, then every S in S is a surjective affine self-isometry on C. Therefore, it can also be understood as a refinement of a recent common fixed point theorem due to Wiśnicki. We also show that the conclusion i) is not true if C is not compact. Finally, we give a localized setting of Lim-Lin's common fixed point theorem for isometries.

Möbius Disjointness for Distal Flows in Short Intervals

Möbius Disjointness for Distal Flows in Short Intervals

Targeted Regional Optimization in Action: Dose-dependent End-organ Ischemic Injury with Partial Aortic Occlusion in the Setting of Ongoing Liver Hemorrhage.

Targeted regional optimization (TRO) describes partial resuscitative endovascular balloon occlusion of the aorta strategy that allows for controlled distal perfusion to balance hemostasis and tissue perfusion. This study characterized hemodynamics at specific targeted distal flow rates in a swine model of uncontrolled hemorrhage to determine if precise TRO by volume was possible. Anesthetized swine were subjected to liver laceration and randomized into TRO at distal flows of 300 mL/min (n = 8), 500 mL/min (n = 8), or 700 mL/min (n = 8). After 90 min, the animals received damage control packing and were monitored for 6 h. Hemodynamic parameters were measured continuously, and hematology and serologic labs obtained at predetermined intervals. During TRO, the average percent deviation from the targeted flow was lower than 15.9% for all cohorts. Average renal flow rates were significantly different across all cohorts during TRO phase (P < 0.0001; TRO300 = 63.1 ± 1.2; TRO500 = 133.70 ± 1.93; TRO700 = 109.3 ± 2.0), with the TRO700 cohort having less renal flow than TRO500. The TRO500 and TRO700 average renal flow rates inverted during the intensive care unit phase (P < 0.0001; TRO300 = 86.20 ± 0.40; TRO500 = 148.50 ± 1.45; TRO700 = 181.1 ± 0.70). There was higher blood urea nitrogen, creatinine, and potassium in the TRO300 cohort at the end of the experiment, but no difference in lactate or pH between cohorts. This study demonstrated technical feasibility of TRO as a strategy to improve outcomes after prolonged periods of aortic occlusion and resuscitation in the setting of ongoing solid organ hemorrhage. A dose-dependent ischemic end-organ injury occurs beginning with partial aortic occlusion that progresses through the critical care phase, with exaggerated effect on renal function.

Strongly Rigid Flows

We consider flows (X,T), given by actions (t,x)→tx, on a compact metric space X with a discrete T as an acting group. We study a new class of flows - the Strongly Rigid (SR) flows, that are properly contained in the class of distal (D) flows and properly contain the class of all equicontinuous (EQ) flows. Thus, EQflows⫋SRflows⫋Dflows.The concepts of equicontinuity, strong rigidity and distality coincide for the induced flow (2X,T). We observe that strongly rigid (X,T) gives distinct properties for the induced flow (2X,T) and its enveloping semigroup E(2X). We further study strong rigidity in case of particular semiflows (X,S), with S being a discrete acting semigroup.

When the whole is less than the sum of all parts – Tracking global-level impacts of national sustainability initiatives

The United Nations’ Sustainable Development Goals (SDGs) are described as integrated and indivisible, where sustainability challenges must be addressed across sectors and scales to achieve global-level sustainability. However, SDG monitoring mostly focuses on tracking progress at national-levels, for each goal individually. This approach ignores local and cross-border impacts of national policies and assumes that global-level progress is the sum of national, sector-specific gains. In this study, we investigate effects of reforestation programs in China on countries supplying forest and agricultural commodities to China. Using case studies of rubber and palm oil production in Southeast Asian countries, soy production in Brazil and logging in South Pacific Island states, we investigate cross-sector effects of production for and trade to China in these exporting countries. We use a three-step multi-method approach. 1) We identify distal trade flows and the narratives used to justify them, using a telecoupling framework; 2) we design causal loop diagrams to analyse social-ecological processes of change in our case studies driven by trade to China and 3) we link these processes of change to the SDG framework. We find that sustainability progress in China from reforestation is cancelled out by the deforestation and cross-sectoral impacts supporting this reforestation abroad. Narratives of economic development support commodity production abroad through unrealised aims of benefit distribution and assumptions of substitutability of socio-ecological forest systems. Across cases, we find the analysed trade supports unambiguous progress on few SDGs only, and we find many mixed effects – where processes that support the achievement of SDGs exist, but are overshadowed by counterproductive processes. Our study represents a useful approach for tracking global-level impacts of national sustainability initiatives and provides cross-scale and cross-sectoral lenses through which to identify drivers of unsustainability that can be addressed in the design of effective sustainability policies.

14C and 40Ar/39Ar radiometric dating and geologic setting of young lavas of Rancho Seco and Mazcuta volcanoes hosting archaeological sites at the margins of the Pátzcuaro and Zacapu lake basins (central Michoacán, Mexico)

Geologic mapping of two neighbouring areas (totalling ∼770km2) centred around the Rancho Seco and Mazcuta monogenetic scoria cones and situated between the Pátzcuaro and Zacapu lake basins in the Michoacán-Guanajuato Volcanic Field (central portion of the Trans-Mexican Volcanic Belt), allowed the recognition of 62 Quaternary monogenetic volcanic structures, which include cinder cones with associated lava flows, domes, and small-to-medium sized shields. 40Ar/39Ar and 14C radiometric dating, petrography, and whole-rock chemical analyses of volcanic products provide a stratigraphic framework and insight into different eruptive styles, and erupted volumes (∼45km3 of calc-alkaline magma). Pliocene to Holocene monogenetic activity has been frequent in this region, forming structures, which are generally aligned along an ENE-WSW direction associated to the Morelia-Cuitzeo-Acambay normal fault system.The young Rancho Seco and Mazcuta volcanoes are of particular interest because their distal lava flows host the pre-Hispanic archaeological urban centres of Angamuco and Cortijo Viejo, respectively. The Rancho Seco scoria cone was radiocarbon-dated at 27,845+445/−425yr BP and emitted at least six andesitic lava flows which were emplaced toward the SW (Lake Pátzcuaro) covering an area of 21.3km2 with a volume of ∼0.64km3. The Mazcuta scoria cone dated at 7970±135yr BP produced five basaltic andesite-andesite lava flows toward the NW (Lake Zacapu), where they cover an area of 28.85km2 with a volume of ∼0.57km3. The recently studied archaeological site of Angamuco became an important urban centre during the rise of the Tarascan Empire in the Post-Classic period (AD 900–1521), while the Cortijo Viejo site remains largely unexplored, but its occupation might fall within the same period. Although the young lava flows on which these sites are built seem inhospitable and barren with a rugged topography and rocky substrate unfit for agriculture, early inhabitants adapted and modified its surface according to their needs. Hence, these archaeological sites exemplify how a seemingly hostile landscape was ingeniously modified to establish population centres with patterns similar to those observed on lava flows elsewhere.

Orders of oscillation motivated by Sarnak’s conjecture

In this paper, we give two precise definitions of a higher order oscillating sequence and show the importance of this concept in the study of Sarnak's conjecture. We prove that any higher order oscillating sequence of order $d$ is linearly disjoint from all affine distal flows on the $d$-torus for all $d\geq 2$. One consequence of this result is that any higher order oscillating sequence of order $2$ is linearly disjoint from all affine flows on the $2$-torus with zero topological entropy. In particular, this reconfirms Sarnak's conjecture for all affine flows on the $2$-torus with zero topological entropy and for all affine distal flows on the $d$-torus for all $d\geq 2$.

Sedimentologic Character of Ancient Muddy Subaqueous-Deltaic Clinoforms: Down Cliff Clay Member, Bridport Sand Formation, Wessex Basin, U.K.

Abstract: Muddy subaqueous clinoforms are a common feature of many modern deltas, particularly those developed in basins with strong waves, tides, or oceanographic currents. Ancient examples have only rarely been reported, implying that they are under-recognized. Herein, the sedimentological characteristics of muddy subaqueous-deltaic clinoforms from the Lower Jurassic Down Cliff Clay Member of the Bridport Sand Formation, Wessex Basin, UK, are described and interpreted, as a reference to re-evaluate other ancient shallow-marine mudstone successions. Deposits below the Down Cliff Clay clinoforms consist of erosionally based, bioclastic sandy limestone beds intercalated with upward-thickening fossiliferous claystones and siltstones (facies association A), which record upward-increasing water depth under conditions of minor input of clastic sediment and reworking by storm waves. These deposits are downlapped by foreset-to-toeset deposits of the subaqueous-deltaic clinoforms, which comprise claystones and siltstones that contain calcareous nodules and are variably bioturbated by a low-diversity trace-fossil assemblages dominated by Chondrites (facies association B). These foreset-to-toeset deposits record slow deposition (undecompacted sediment accumulation rate of c. 4.4 m/Myr) from suspension fall-out and distal sediment gravity flows under conditions of intermittent and/or poor oxygenation of bottom waters. Clinoform foreset deposits dip paleoseaward at 2°, and consist of siltstones and sandy siltstones that are moderately to completely bioturbated by a high-diversity trace-fossil assemblage (facies association C). Thin (

Composition and provenance of the Macigno Formation (Late Oligocene–Early Miocene) in the Trasimeno Lake area (northern Apennines)

Sandstone petrography and mudstone mineralogy and geochemistry of the Late Oligocene–Early Miocene terrigenous deposits of the Macigno Fm. of the Trasimeno Lake area (Central Italy) provide new information on provenance, paleoenvironment, palaeoclimate, and geodynamics during the early stages of the northern Apennines foreland basin setting. Sandstones are rich in trace fossils and are quartzofeldspatic with various crystalline phaneritic (mostly granitoids) and medium-low grade metamorphic rock fragments. Volcanic and sedimentary lithic fragments are rare.The mudstone mineralogy contains a large amount of phyllosilicates, quartz, and feldspars and small amount of calcite, which increases in the mid-part of succession.Palaeoweathering indices (Chemical Index of Alteration with and without CaO value; CIA and CIA' respectively) suggest a source area that experienced low to moderate weathering and low recycling processes (on average, CIA = 66.4 and CIA' = 69.7). Furthermore, very low and homogeneous values of Rb/K ratios (<0.006) suggest weak to moderate weathering conditions.The sandstone and mudstone composition reflects a provenance derived from uplifted crystalline rocks. The different amount in feldspars, the variety of lithic fragments, the occurrence of mafic and carbonate input, coupled with evidence of multi-directional flows, suggest a provenance from different source areas. The geochemical proxies indicate a provenance from both felsic and mafic sources, predominantly for the Maestà section that shows Cr/V values ranging from 1.15 to 3.36 typical of source areas composed of both felsic and mafic rocks. The Western-Central Alps are inferred to be the main source area of the Macigno foreland system, but significant signals from the Mesomediterranean Microplate are also testified. These new data suggest that the Macigno Fm. was probably located in a peculiar area which received either distal fine turbidite flows from the northernmost Alpine area and residual sandy debris flows coming from the westernmost Alps.

From teleconnection to telecoupling: taking stock of an emerging framework in land system science

Land use change is influenced by a complexity of drivers that transcend spatial, institutional and temporal scales. The analytical framework of telecoupling has recently been proposed in land system science to address this complexity, particularly the increasing importance of distal connections, flows and feedbacks characterising change in land systems. This framework holds important potential for advancing the analysis of land system change. In this article, we review the state of the art of the telecoupling framework in the land system science literature. The article traces the development of the framework from teleconnection to telecoupling and presents two approaches to telecoupling analysis currently proposed in the literature. Subsequently, we discuss a number of analytical challenges related to categorisation of systems, system boundaries, hierarchy and scale. Finally, we propose approaches to address these challenges by looking beyond land system science to theoretical perspectives from economic geography, social metabolism studies, political ecology and cultural anthropology.

The Möbius function and distal flows

We prove that the Möbius function is linearly disjoint from an analytic skew product on the 2 -torus. These flows are distal and can be irregular in the sense that their ergodic averages need not exist for all points. The previous cases for which such disjointness has been proved are all regular. We also establish the linear disjointness of the Möbius function from various distal homogeneous flows.

A mathematical model of rat proximal tubule and loop of Henle.

Proximal tubule and loop of Henle function are coupled, with proximal transport determining loop fluid composition, and loop transport modulating glomerular filtration via tubuloglomerular feedback (TGF). To examine this interaction, we begin with published models of the superficial rat proximal convoluted tubule (PCT; including flow-dependent transport in a compliant tubule), and the rat thick ascending Henle limb (AHL). Transport parameters for this PCT are scaled down to represent the proximal straight tubule (PST), which is connected to the thick AHL via a short descending limb. Transport parameters for superficial PCT and PST are scaled up for a juxtamedullary nephron, and connected to AHL via outer and inner medullary descending limbs, and inner medullary thin AHL. Medullary interstitial solute concentrations are specified. End-AHL hydrostatic pressure is determined by distal nephron flow resistance, and the TGF signal is represented as a linear function of end-AHL cytosolic Cl concentration. These two distal conditions required iterative solution of the model. Model calculations capture inner medullary countercurrent flux of urea, and also suggest the presence of an outer medullary countercurrent flux of ammonia, with reabsorption in AHL and secretion in PST. For a realistically strong TGF signal, there is the expected homeostatic impact on distal flows, and in addition, a homeostatic effect on proximal tubule pressure. The model glycosuria threshold is compatible with rat data, and predicted glucose excretion with selective 1Na(+):1glucose cotransporter (SGLT2) inhibition comports with observations in the mouse. Model calculations suggest that enhanced proximal tubule Na(+) reabsorption during hyperglycemia is sufficient to activate TGF and contribute to diabetic hyperfiltration.

Multiple disjointness and invariant measures on minimal distal flows

We examine multiple disjointness of minimal flows, that is, we find conditions under which the product of a collection of minimal flows is itself minimal. Our main theorem states that, for a collection $\{X_i\}_{i \in I}$ of minimal flows with a common ph

Intra-operative graft blood flow measurements for composite and sequential coronary artery bypass grafting.

Intraoperative assessment of coronary artery bypass grafts (CABG) anastomotic quality can be performed using transit-time flowmetry (TTF). The aim of this study was to compare on- versus off-pump coronary graft TTF and early postoperative outcomes. Between January 2009 and January 2010, 521 distal graft flows were assessed using TTF measurements in 253 consecutive patients undergoing primary isolated CABG surgery. Data were analyzed using multilevel models accounting for clustering among surgeons and grafts performed in the same patient. Mean age was 66 ± 10 years and 22% were female (n = 55) with 34% diabetics (n = 86) and 40% preoperative myocardial infarction (MI) (n = 101). The surgeries were performed off-pump in 67% (n = 170) with sequential vein grafts in 57% (n = 144) of patients. Off-pump patients had higher pre-operative left ventricular ejection fractions (LVEF), fewer urgent surgeries, fewer distal anastomoses, and fewer sequential vein grafts (all p<0.001). Intra-operative coronary graft TTF measurements were lower in sequential vein grafts performed off-pump versus on-pump. More patients in the on-pump group needed milrinone or dobutamine 24-48h postoperatively (p = 0.005). Independent predictors of lower TTF included female gender and off-pump surgery, whereas predictors of better TTF were preoperative MI, larger coronary diameter at the site of the distal anastomosis, and sequential vein grafting. Lower intra-operative TTF measurements were found in sequential vein grafts in off-pump CABG. However, off-pump patients experienced similar short-term outcomes compared to on-pump patients.

Real extensions of distal minimal flows and continuous topological ergodic decompositions

We prove a structure theorem for topologically recurrent real skew product extensions of distal minimal compact metric flows with a compactly generated Abelian acting group (for example, Z d -flows and R d -flows). The main result states that every such extension apart from a coboundary can be represented by a perturbation of a so-called Rokhlin skew product. We obtain as a corollary that the topological ergodic decomposition of the skew product extension into prolongations is continuous and compact with respect to the Fell topology on the hyperspace. The right translation acts minimally on this decomposition, therefore providing a minimal compact metric analogue to the Mackey action. This topological Mackey action is a distal (possibly trivial) extension of a weakly mixing factor (possibly trivial), and it is distal if and only if perturbation of the Rokhlin skew product is defined by a topological coboundary.