Criteria for hitting probabilities with applications to systems of stochastic wave equations

We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these results to a system of stochastic wave equations in spatial dimension k >- 1 driven by a d-dimensional spatially homogeneous additive Gaussian noise that is white in time and colored in space.

Stochastic differential equations with random coefficients

In this paper we establish the existence and uniqueness of a solution for different types of stochastic differential equation with random initial conditions and random coefficients. The stochastic integral is interpreted as a generalized Stratonovich integral, and the techniques used to derive these results are mainly based on the path properties of the Brownian motion, and the definition of the Stratonovich integral.

Large deviations for stochastic Volterra equations

This paper is devoted to prove a large-deviation principle for solutions to multidimensional stochastic Volterra equations.

Vitamin D deficiency: A forgotten treatable cause of motor delay and proximal myopathy.

We report a four-year-old African boy referred for proximal muscle weakness, fatigability and episodic limb pain. Classical causes of structural and metabolic myopathy were initially considered before clinical and biological features of vitamin D deficiency rickets were identified. Prompt treatment with vitamin D and calcium supplementation led to a complete reversal of the muscle symptoms. Rickets-associated myopathy should be included in the differential diagnosis of proximal myopathy, especially in at-risk individuals. Vitamin D deficiency and its prevention remain important health issues in industrialized countries.

Assessment of skinfold thickness equations in estimating body composition in children with inflammatory bowel

Introduction: Growth is a central process in paediatrics. Weight and height evaluation are therefore routine exams for every child but in some situation, particularly inflammatory bowel disease (IBD), a wider evaluation of nutritional status needs to be performed. The assessment of body composition is essential in order to maintain acceptable growth using the following techniques: Dual-energy X-ray absorptiometry (DEXA), bio-impedance-analysis (BIA) and anthropometric measurements (skinfold thickness skin), the latter being most easily available and most cost effective. Objectives: To assess the accuracy of skinfold equations in estimating percentage body fat (%BF) in children with inflammatory bowel disease (IBD), compared with assessment of body fat dual energy X-ray absorptiometry (DEXA). Methods: Twenty-one patients (11 females, 10 males; mean age: 14.3 years, range 12 - 16 years) with IBD (Crohn's disease n = 15, ulcerative colitis n = 6)). Estimated%BF was computed using 6 established equations based on the triceps, biceps, subscapular and suprailiac skinfolds (Deurenberg, Weststrate, Slaughter, Durnin & Rahaman, Johnston, Brook) and compared to DEXA. Concordance analysis was performed using Lin's concordance correlation and the Bland-Altman limits of agreement method. Results: Durnin & Rahaman's equation shows a higher Lin's concordance coefficient with a small difference amongst raw values for skinfolds and DEXA compared to the other equations. Correlation coefficient between mean and difference is close to zero with a non-significant Bradley-Blackwood test. Conclusion: Body composition in paediatric IBD patients using the Durnin & Rahaman skinfold-equation adequately reflects values obtained by DEXA.

Space Competition and Time Delays in Human Range Expansions. Application to the Neolithic Transition

Space competition effects are well-known in many microbiological and ecological systems. Here we analyze such an effectin human populations. The Neolithic transition (change from foraging to farming) was mainly the outcome of a demographic process that spread gradually throughout Europe from the Near East. In Northern Europe, archaeological data show a slowdown on the Neolithic rate of spread that can be related to a high indigenous (Mesolithic) population density hindering the advance as a result of the space competition between the two populations. We measure this slowdown from a database of 902 Early Neolithic sites and develop a time-delayed reaction-diffusion model with space competition between Neolithic and Mesolithic populations, to predict the observed speeds. The comparison of the predicted speed with the observations and with a previous non-delayed model show that both effects, the time delay effect due to the generation lag and the space competition between populations, are crucial in order to understand the observations

Diagnostic delay in Crohn's disease is associated with a complicated disease course and increased operation rate.

OBJECTIVES: The impact of diagnostic delay (a period from appearance of first symptoms to diagnosis) on the clinical course of Crohn's disease (CD) is unknown. We examined whether length of diagnostic delay affects disease outcomes. METHODS: Data from the Swiss IBD cohort study were analyzed. Patients were recruited from university centers (68%), regional hospitals (14%), and private practices (18%). The frequencies of occurrence of bowel stenoses, internal fistulas, perianal fistulas, and CD-related surgery (intestinal and perianal) were analyzed. RESULTS: A total of 905 CD patients (53.4% female, median age at diagnosis 26 (20-36) years) were stratified into four groups according to the quartiles of diagnostic delay (0-3, 4-9, 10-24, and ≥25 months, respectively). Median diagnostic delay was 9 (3-24) months. The frequency of immunomodulator and/or antitumor necrosis factor drug use did not differ among the four groups. The length of diagnostic delay was positively correlated with the occurrence of bowel stenosis (odds ratio (OR) 1.76, P=0.011 for delay of ≥25 months) and intestinal surgery (OR 1.76, P=0.014 for delay of 10-24 months and OR 2.03, P=0.003 for delay of ≥25 months). Disease duration was positively associated and non-ileal disease location was negatively associated with bowel stenosis (OR 1.07, P<0.001, and OR 0.41, P=0.005, respectively) and intestinal surgery (OR 1.14, P<0.001, and OR 0.23, P<0.001, respectively). CONCLUSIONS: The length of diagnostic delay is correlated with an increased risk of bowel stenosis and CD-related intestinal surgery. Efforts should be undertaken to shorten the diagnostic delay.

Long diagnostic delay in Crohn's disease is associated with complicated disease course and increased operation rate

Background and Aims: The impact of d iagnostic delay ( a period from appearance of f irst s ymptoms t o diagnosis) o n the clinical c ourse o f Crohn's disease (CD) i s unknown. W e examined whether length of d iagnostic delay a ffects d isease outcome. Methods: Data from the Swiss IBD cohort study were analyzed. T he frequencies of o ccurrence of b owel s tenoses, internal fistulas, perianal f istulas, and CD-related surgery at distinct i ntervals a fter C D diagnosis (0 - < 2 , 2 - < 6,  6 years) were c ompared f or g roups o f patients w ith different length of d iagnostic delay. Results: T he data from a g roup o f 200 CD patients with long diagnostic delay (> 24 months, 76th - 100th p ercentile) were c ompared to t hose from a group of 4 61 patients with a short diagnostic delay ( within 9 months, 1st - 50th p ercentile). T reatment r egimens d id n ot d iffer between t he two groups. Two years following diagnosis, p atients with long diagnostic delay presented more frequently with bowel stenoses (25% vs. 13.1%, p = 0.044), internal fistulas (10% vs. 2%, p = 0.018), perianal f istulas ( 20% vs. 8 .1%, p = 0.023) a nd more frequently underwent intestinal surgery (15% vs. 5 .1%, p = 0.024) t han patients with short diagnostic delay. Intestinal surgery was a lso m ore frequently p erformed  6 y ears after diagnosis in t he group with long d iagnostic delay ( 56.2% vs. 42.3%, p = 0.005) w hen compared to t he g roup with short diagnostic delay. Conclusions: L ong diagnostic delay i s associated with worse o utcome c haracterized by t he development o f increased bowel damage, n ecessitating more frequently operations in t he years following CD d iagnosis. Efforts should be undertaken to shorten the diagnostic delay.

Pavement Management Performance Modeling: Evaluating the Existing PCI Equations, RB14-013 2014

The work described in this report documents the activities performed for the evaluation, development, and enhancement of the Iowa Department of Transportation (DOT) pavement condition information as part of their pavement management system operation. The study covers all of the Iowa DOT’s interstate and primary National Highway System (NHS) and non-NHS system. A new pavement condition rating system that provides a consistent, unified approach in rating pavements in Iowa is being proposed. The proposed 100-scale system is based on five individual indices derived from specific distress data and pavement properties, and an overall pavement condition index, PCI-2, that combines individual indices using weighting factors. The different indices cover cracking, ride, rutting, faulting, and friction. The Cracking Index is formed by combining cracking data (transverse, longitudinal, wheel-path, and alligator cracking indices). Ride, rutting, and faulting indices utilize the International Roughness Index (IRI), rut depth, and fault height, respectively.

On the approximation of the subgrid scale for systems of equations

Postprint (published version)

On periodic solutions of 2-periodic Lyness difference equations

We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions. It is known that for a=b=1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a,b) different from (1,1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a is not equal to b, then any odd period, except 1, appears.

Effect of Delay in Testing Asphalt Concrete Specimens for Marshall Stability, MLR-86-08, Draft, 1986

The Central Laboratory has been delaying the mix design testing of 2 1/2" X 4" Marshall specimens for stability, until the next day after molding. For example, if the mixes are made and samples molded on Friday a man would have to come in and work on Saturday to test these specimens. The reason for this is that the ASTM-01559 "Resistance to Plastic Flow of Bituminous Mixes Using Marshall Apparatus," states that "the specimens after being molded shall be carefully transferred to a smooth, flat surface and allowed to stand overnight at room temperature, before being weighed, measured and tested." The AASHTO procedure, AASHTO Designation T-245-82 "Resistance to Plastic Flow of Bituminous Mixtures using Marshall Apparatus," does not say when the specimens shall be tested for stability. The IDOT Lab. Specifications, Test Method No. Iowa 502-8 and test method No. Iowa 506-C "compacting asphaltic concrete by the Marshall Method" and "Resistance to Plastic Flow of Bituminous Mixtures Using the Marshall Apparatus," respectively, only state that the specimens shall be cooled before testing. Due to the above conflict in specifications, a number of mix samples were tested, in the Central Lab, for stability on different days. This should furnish enough information to allow us to change the procedure and to test for stability the same day molded, or be able to delay the testing for 3 days or more.

Kinetic equations for difussion in the presence of entropic barriers

We use the mesoscopic nonequilibrium thermodynamics theory to derive the general kinetic equation of a system in the presence of potential barriers. The result is applied to a description of the evolution of systems whose dynamics is influenced by entropic barriers. We analyze in detail the case of diffusion in a domain of irregular geometry in which the presence of the boundaries induces an entropy barrier when approaching the exact dynamics by a coarsening of the description. The corresponding kinetic equation, named the Fick-Jacobs equation, is obtained, and its validity is generalized through the formulation of a scaling law for the diffusion coefficient which depends on the shape of the boundaries. The method we propose can be useful to analyze the dynamics of systems at the nanoscale where the presence of entropy barriers is a common feature.