Random Rectangular Graphs

A generalization of the random geometric graph (RGG) model is proposed by considering a set of points uniformly and independently distributed on a rectangle of unit area instead of on a unit square [0,1]^2. The topological properties of the random rectangular graphs (RRGs) generated by this model are then studied as a function of the rectangle sides lengths a and b=1/a, and the radius r used to connect the nodes. When a=1 we recover the RGG, and when a-->infinity the very elongated rectangle generated resembles a one-dimensional RGG. We obtain here analytical expressions for the average degree, degree distribution, connectivity, average path length and clustering coefficient for RRG. These results provide evidence that show that most of these properties depend on the connection radius and the side length of the rectangle, usually in a monotonic way. The clustering coefficient, however, increases when the square is transformed into a slightly elongated rectangle, and after this maximum it decays with the increase of the elongation of the rectangle. We support all our findings by computational simulations that show the goodness of the theoretical models proposed for RRGs.Comment: 23 pages, 8 figure

Epidemic Spreading in Random Rectangular Networks

The use of network theory to model disease propagation on populations introduces important elements of reality to the classical epidemiological models. The use of random geometric graphs (RGG) is one of such network models that allows for the consideration of spatial properties on disease propagation. In certain real-world scenarios -like in the analysis of a disease propagating through plants- the shape of the plots and fields where the host of the disease is located may play a fundamental role on the propagation dynamics. Here we consider a generalization of the RGG to account for the variation of the shape of the plots/fields where the hosts of a disease are allocated. We consider a disease propagation taking place on the nodes of a random rectangular graph (RRG) and we consider a lower bound for the epidemic threshold of a Susceptible-Infected-Susceptible (SIS) or Susceptible-Infected-Recovered (SIR) model on these networks. Using extensive numerical simulations and based on our analytical results we conclude that (ceteris paribus) the elongation of the plot/field in which the nodes are distributed makes the network more resilient to the propagation of a disease due to the fact that the epidemic threshold increases with the elongation of the rectangle. These results agree with accumulated empirical evidence and simulation results about the propagation of diseases on plants in plots/fields of the same area and different shapes.Comment: Version 4, 13 pages, 6 figures, 44 ref

Design and fabrication of force sensing robotic foot utilizing the volumetric displacement of a hyperelastic polymer

Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2012.Cataloged from PDF version of thesis.Includes bibliographical references (p. 39-40).This thesis illustrates the fabrication and characterization of a footpad based on an original principle of volumetric displacement sensing. It is intended for use in detecting ground reaction forces in a running quadrupedal robot. The footpad is manufactured as a monolithic, composite structure composed of multi-graded polymers reinforced by glass fiber to increase durability and traction. The volumetric displacement sensing principle utilizes a hyperelastic gel-like pad with embedded magnets and Hall-effect sensors. Normal and shear forces can be detected as contact forces cause the gel-like pad to deform into rigid wells without the need to expose the sensor. A one-time training process using an artificial neural network was used to relate the normal and shear forces with the volumetric displacement sensor output. Two iterations on geometry are prototyped and tested. The first shows the ability to accurately predict normal forces in the Z-axis up to 80 N with a root mean squared error of 6% but little information about shear forces in the X an Y-axis. The second iteration demonstrates an ability to pick up the presence and direction of shear forces up to 40 N but with a root mean squared error of 70%. This project demonstrates a proof-of-concept for a more robust force sensor suitable for use in robotics that requires compliance while interacting with its environment.by Matthew A. Estrada.S.B

Consensus dynamics on random rectangular graphs

A random rectangular graph (RRG) is a generalization of the random geometric graph (RGG) in which the nodes are embedded into a rectangle with side lengths aa and b=1/ab=1/a, instead of on a unit square [0,1]2. Two nodes are then connected if and only if they are separated at a Euclidean distance smaller than or equal to a certain threshold radius r. When a=1 the RRG is identical to the RGG. Here we apply the consensus dynamics model to the RRG. Our main result is a lower bound for the time of consensus, i.e., the time at which the network reaches a global consensus state. To prove this result we need first to find an upper bound for the algebraic connectivity of the RRG, i.e., the second smallest eigenvalue of the combinatorial Laplacian of the graph. This bound is based on a tight lower bound found for the graph diameter. Our results prove that as the rectangle in which the nodes are embedded becomes more elongated, the RRG becomes a ’large-world’, i.e., the diameter grows to infinity, and a poorly-connected graph, i.e., the algebraic connectivity decays to zero. The main consequence of these findings is the proof that the time of consensus in RRGs grows to infinity as the rectangle becomes more elongated. In closing, consensus dynamics in RRGs strongly depend on the geometric characteristics of the embedding space, and reaching the consensus state becomes more difficult as the rectangle is more elongated

Prevalence of Hesperevax sparsiflora var. brevifolia (short-leaved evax) at Ocean Ranch, Humboldt County, California: exploring the effects of disturbance

The prevalence of special-status plants within a landscape can be an indicator of the ecological health of that site, and therefore inform restoration efforts and post-restoration monitoring. Hesperevax sparsiflora var. brevifolia (short-leaved evax) is a special status species found within the Ocean Ranch unit of Humboldt, California. A primary threat to native plant communities are invasive plant species. Coastal dune ecosystems are largely dominated by invasive species, including Ammophila arenaria (European beachgrass). To work towards the eradication of A. arenaria, the California Department of Fish and Wildlife utilized treatment combinations of herbicide and prescribed fire at Ocean Ranch in the fall of 2022. We worked with the California Department of Fish and Wildlife (CDFW) to study the density and abundance of H. sparsiflora var. brevifolia, proximity to A. arenaria, soil compaction, and distance to the road within specified areas. We estimated a total of 14,354,293 H. sparsiflora var. brevifolia individuals in the polygons we measured. We found that the further from A. arenaria, the greater the likelihood of H. sparsiflora var. brevifolia individuals. However, our findings showed that the number of individuals and distance to the road was not a significant relationship, and the relationship between the number of individuals in burned versus unburned quadrats was not significant. This project can serve to monitor the establishment of special-status species to observe the success of recent restorative treatments and to guide future restoration

34. PHYSICAL PROPERTIES OF SEDIMENTS FROM THE MOUTH OF THE GULF OF CALIFORNIA, LEG 65, DEEP SEA DRILLING PROJECT 1

ABSTRACT The physical properties of 138 unconsolidated hemipelagic silty clays and turbidites from the mouth of the Gulf of California were analyzed in order to determine their grain size, shear strength, compressional wave velocity, porosity, specific gravity, wet-bulk density, water content, void ratio, and degree of saturation. As at other Deep Sea Drilling Project (DSDP) sites, the wet-bulk density, sonic velocity, and shear strength tended to increase with depth while the porosity and water content decreased in response to increasing compaction. The grain size and clay fraction varied irregularly with depth. The wet-bulk density ranged from 1.34 to 2.58 g/cm 3 , while, the shear strength and compressional wave velocity ranged from 0.03 to 1.05 tons/ft. 2 and 1.47 to 4.25 km/s, respectively. The porosity varied between 8 and 79%, while the water content ranged from 28.0 to 175.6%; most samples were effectively 100% saturated. The specific gravity ranged from 1.71 to 3.24 and showed a tendency to be directly related to the wet-bulk density and thus inversely related to porosity. The physical properties of the hemipelagic sediments and turbidites are noticeably different, and the properties of both were modified by diagenesis near the basement

Bio-inspired Controllers Facilitate Sim-to-Real Transfer

The 11th International Symposium on Adaptive Motion of Animals and Machines. Kobe University, Japan. 2023-06-06/09. Adaptive Motion of Animals and Machines Organizing Committee.Poster Session P7

Erythrocytes from GGTA1/CMAH knockout pigs: implications for xenotransfusion and testing in non-human primates

Background Pig erythrocytes are potentially useful to solve the worldwide shortage of human blood for transfusion. Domestic pig erythrocytes, however, express antigens that are bound by human preformed antibodies. Advances in genetic engineering have made it possible to rapidly knock out the genes of multiple xenoantigens, namely galactose α1,3 galactose (aGal) and N-glycolylneuraminic acid (Neu5Gc). We have recently targeted the GGTA1 and CMAH genes with zinc finger endonucleases resulting in double knockout pigs that no longer express aGal or Neu5Gc and attract significantly fewer human antibodies. In this study, we characterized erythrocytes from domestic and genetically modified pigs, baboons, chimpanzees, and humans for binding of human and baboon natural antibody, and complement mediated lysis. Methods Distribution of anti Neu5Gc IgG and IgM in pooled human AB serum was analyzed by ELISA. Erythrocytes from domestic pigs (Dom), aGal knockout pigs (GGTA1 KO), aGal and Neu5Gc double knockout pigs (GGTA1/CMAH KO), baboons, chimpanzees, and humans were analyzed by flow cytometry for aGal and Neu5Gc expression. In vitro comparative analysis of erythrocytes was conducted with pooled human AB serum and baboon serum. Total antibody binding was accessed by hemagglutination; complement-dependent lysis was measured by hemolytic assay; IgG or IgM binding to erythrocytes was characterized by flow cytometry. Results The pooled human AB serum contained 0.38 μg/ml anti Neu5Gc IgG and 0.085 μg/ml anti Neu5Gc IgM. Both Gal and Neu5Gc were not detectable on GGTA1/CMAH KO erythrocytes. Hemagglutinaion of GGTA1/CMAH KO erythrocytes with human serum was 3.5-fold lower compared to GGTA1 KO erythrocytes, but 1.6-fold greater when agglutinated with baboon serum. Hemolysis of GGTA1/CMAH KO erythrocytes by human serum (25%) was reduced 9-fold compared to GGTA1 KO erythrocytes, but increased 1.64-fold by baboon serum. Human IgG binding was reduced 27-fold on GGTA1/CMAH KO erythrocytes compared to GGTA1 KO erythrocytes, but markedly increased 3-fold by baboon serum IgG. Human IgM binding was decreased 227-fold on GGTA1/CMAH KO erythrocytes compared to GGTA1 KO erythrocytes, but enhanced 5-fold by baboon serum IgM. Conclusions Removal of aGal and Neu5Gc antigens from pig erythrocytes significantly reduced human preformed antibody-mediated cytotoxicity but may have complicated future in vivo analysis by enhancing reactivity from baboons. The creation of the GGTA1/CMAH KO pig has provided the xenotransplantion researcher with organs and cells that attract fewer human antibodies than baboon and our closest primate relative, chimpanzee. These finding suggest that while GGTA1/CMAH KO erythrocytes may be useful for human transfusions, in vivo testing in the baboon may not provide a direct transplation to the clinic

Estudio de asociación de genoma completo en la enfermedad de Erdheim-Chester.

Congresos y Conferencias: Comunicación de Congreso - Póster

Addressing Prediabetes in Childhood Obesity Treatment Programs: Support from Research and Current Practice

Background: Type 2 diabetes mellitus (T2DM) and prediabetes have increased in prevalence among overweight and obese children, with significant implications for long-term health. There is little published evidence on the best approaches to care of prediabetes among overweight youth or the current practices used across pediatric weight management programs. Methods: This article reviews the literature and summarizes current practices for screening, diagnosis, and treatment of prediabetes at childhood obesity treatment centers. Findings regarding current practice were based on responses to an online survey from 28 pediatric weight management programs at 25 children's hospitals in 2012. Based on the literature reviewed, and empiric data, consensus support statements on prediabetes care and T2DM prevention were developed among representatives of these 25 children's hospitals' obesity clinics. Results: The evidence reviewed demonstrates that current T2DM and prediabetes diagnostic parameters are derived from adult-based studies with little understanding of clinical outcomes among youth. Very limited evidence exists on preventing progression of prediabetes. Some evidence suggests that a significant proportion of obese youth with prediabetes will revert to normoglycemia without pharmacological management. Evidence supports lifestyle modification for children with prediabetes, but further study of specific lifestyle changes and pharmacological treatments is needed. Conclusion: Evidence to guide management of prediabetes in children is limited. Current practice patterns of pediatric weight management programs show areas of variability in practice, reflecting the limited evidence base. More research is needed to guide clinical care for overweight youth with prediabetes.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/140337/1/chi.2013.0158.pd