Age Dependent Analysis of Colon Cancer Tumours Using Mathematical and Statistical Modelling

Colon cancer is the third most commonly diagnosed cancer and the second leading cause of cancer death in men and women combined in the United States. In this work, we performed mathematical and statistical modelling of Tumour sizes as a function of age for four different races. Mathematically, based on the behaviour of the data for each race, we partitioned ages of subjects into several intervals. The mathematical function that characterizes the size of the Tumour as a function of age was determined for each age interval. Statistically, using quantile regression, we designed models that are more robust at specific quantiles using Tumour size and age as dependent and predictor variables.

APPLICATION OF STOCHASTIC MODEL FOR LENGTHY EPIDEMIC FORECASTING

In this paper we consider a stochastic discrete-time epidemic model, with the infectivity depending on the age of infection and existing formula for the maximum likelihood estimation of the parameter responsible for the rate of the infection spread. In order to utilize the real number of infection cases statistics, a detection rate parameter is introduced. A program for automatic parameter estimation using past data with future epidemic simulation is developed. We present the comparison between the simulation of COVID-19 cases in Kyiv and real data using manual and automatic parameter estimation. We consider the possibility of the epidemic partition into several intervals with different parameters in order to simulate lengthy epidemics with significant changes in dynamics. We present the comparison between different numbers of partitions for long-term COVID-19 simulation in Kyiv (Ukraine) and Czech Republic, which have different dynamics of the epidemic development.

W-boson production in TMD factorization

At hadron colliders, the differential cross section for W production can be factorized and it is sensitive transverse momentum dependent distributions (TMD) for low boson transverse momentum. While, often, the corresponding non-perturbative QCD contributions are extrapolated from Z boson production, here we use an existing extraction (based on the code Artemide) of TMD which includes data coming from Drell–Yan and semi-inclusive deep inelastic scattering, to provide checks and predictions for the W case. Including fiducial cuts with different configurations and kinematical power corrections, we consider transverse momentum dependent cross sections within several intervals of the vector boson transverse mass. We perform the same study for the $$p_T^{W^-}/p_T^{W^+}$$ p T W - / p T W + and $$p_T^Z/p_T^W$$ p T Z / p T W distributions. We compare our predictions with recent extractions of these quantities at ATLAS and CMS and results from TeVatron. The results encourage a broader experimental and phenomenological work, and a deeper study of TMD for the W case.

Nano Copper-Cobalt Ferrite Catalyzed One-Pot Green Combination of β, γ- Unsaturated Ketones by Ultrasonication Method

Nano Copper-Cobalt ferrite materials have been used as magnetically separable and reusable heterogeneous catalysts for the synthesis of β, γ - unsaturated ketones over the allylation of acid chlorides with allyl bromides is presented. Ultrasonication method used to the reaction between substituted acid chlorides with allyl halides is carried out in attendance of Nano Copper-Cobalt ferrites at room temperature by using Tetrahydrofuran (THF) as a Solvent. The present method is environmentally benign and gives very good yields. The catalyst is separated from the reaction medium using a strong magnet and reused several intervals without the loss of much catalytic activity. The mechanism of the reaction and characterization of the products are presented

High frequency water isotopes records during glacial/interglacial cycles on EPICA Dome C ice core.

<p>The iconic curve of D in water showing the 8 glacial/interglacial cycles from the EPICA Dome C ice<br>core is now a reference in paleoclimate. It shows past temperature variability back to 800 ka over the<br>3200 m deep ice core with a 55 cm resolution. However, the millennial and centennial scale<br>variability gets more challenging to observe in the deepest part of the core. Indeed, the time<br>resolution worsens when going deeper in the ice because of the ice thinning: it is larger than 200<br>years at 2500 m depth. Furthermore, isotopic diffusion affects the signal at the bottom of the ice<br>core. Pol et al., (2010) have thus shown that the sub-millennial MIS (Marine Isotopic Stage) 19 signal<br>(3157-3181 m deep) is erased because of diffusion and high resolution doesn’t add any further<br>information at this depth. In this study we want to better characterize the increase of the isotopic<br>diffusion with depth by providing new high resolution water isotopes at several intervals over the<br>EPICA ice core (EDC).<br>We present here published high resolution (11 cm) d18O measurements over the EDC ice core as<br>well as new records of high resolution (11 cm) D over MIS 7;13 and 14). We use spectral analyses to<br>determine at which depth the isotopic diffusion erases the sub-millennial variability. We also show<br>that cold periods exhibit a larger variability of water isotopes than interglacial periods.<br>The information obtained here is crucial for the new project Beyond EPICA oldest ice core, which has<br>the goal of analyzing a 1.5 Ma old ice core. In the deepest part, 1 m of ice core could represent<br>10 000 years of climate archive.</p>

Analytical expressions for spectral dependences of silver, gold, copper and aluminum dielectric permittivity

In this work, the analytical expressions describing experimental data of silver, gold, copper and aluminum dielectric permittivity in a wide spectral range are presented. A comparison of samples production techniques, the measurement methods and the experimental data of different authors led to the conclusion that the most valid data are given by McPeak et al. (ACS Photonics 2(3), 2015, pp. 326–333) and Babar et al.(Appl. Opt. 54(3), 2015, pp. 477–481), which are close to each other. Thus, the analytical expressions for silver, gold, copper and aluminum dielectric permittivity spectral dependences are based on it. The spectral range in which the dielectric permittivity is represented by the corresponding analytical expression is divided into several intervals. There is a specific function for each wavelength range.

Fourier transform of single particle wave functions in extremely deformed nuclei: Towards the momentum distribution of scission neutrons

The Fourier transform of single particle wave functions in cylindrical coordinates is applied to the study of neutrons released during scission. We propagate the neutron wave packets in time through the bi-dimensional time dependent Schrödinger equation with time dependent potential. We separate the parts of these wave packets that are in the continuum and calculate their Fourier transforms at different times: immediately after scission (T = 1×10-22 s) and at several intervals afterwards (until T = 50×10-22 s). The momentum distributions corresponding to these Fourier transforms are then estimated. The evolution of these distributions in time provides an insight into the separation of the neutron from the fissioning system and asymptotically gives the kinetic energy spectrum of that particular neutron.

PROFIL LAPISAN PEMAHAMAN KONSEP TURUNAN FUNGSI DAN FOLDING BACK MAHASISWA CALON GURU MATEMATIKA BERDASARKAN GENDER

This research aimed to describe the profile of understanding layers of understanding the concept of the function’s derivative and folding back college student prospective teachers of mathematics by gender. This study used a qualitative descriptive approach . The data obtained is validated, then the analysis step-by- step reduction, data presentation, categorization, interpretation and inference. The analysis process is guided to the understanding of the model which hypothesizes Pirie&Kieren owned eight layers understanding students. The results showed that there was no difference between the achievement of a layers of understanding of the subject of women and man, both of them have an indicator layers of understanding ie; primitive knowing, image making, image having, property noticing, formalising, observing and structuring, then reaching also the first indicator (In1) of inventising layer, and indicators "ask questions about graphs the third-degree polynomial function" that leads to the second indicator (In2) of inventising layer. Based on the indicators of these, both subjects can be put in a category understanding layer ie oida inventising. But both subjects distinc 10 (ten) items the process of achieving this understanding, including in providing an example of a polynomial of fourth degree, woman began with equations, determining the intersections with the X-axis or the line x=k, drawing the X-axis and Y-axis, plot the points of intersection, divide into several intervals, then calculate some value functions to perform each test point intervals, and then describe the graph. Meanwhile, the man gave an example of a polynomial of fourth degree in the form of images, then determine the similarities, each interval point test done to test and verify that the correct graph drawn afterwards. Women made twice folding back the form of "off-topic", and man made that once. Instead of man performed twice folding back the form "working on the deeper layers", both subjects do not perform folding back the form "cause discontinuous".Key words : understanding layers, folding back, gender

Does Belgian Holocene speleothem records solar forcing and cold events?

We present a decadal-centennial scale Holocene climate record based on trace elements contents from a 65 cm stalagmite (Père Noël) from Belgian Père Noël cave. Père Noël (PN) stalagmite covers the last 12.7 ka according to U/Th dating. High spatial resolution measurements of trace elements (Sr, Ba, Mg and Al) were done by Laser-Ablation Inductively Coupled Plasma Mass Spectrometry (LA-ICP-MS). Trace elements profiles were interpreted as environmental and climate changes in the Han-sur-Lesse region. Power spectrum estimators and continuous wavelet transform were applied on trace elements time series to detect any statistically significant periodicities in the PN stalagmite. Spectral analyses reveal decadal to millennial periodicities (i.e., 68–75, 133–136, 198–209, 291–358, 404–602, 912–1029 and 2365–2670 yr) in the speleothem record. Results were compared to reconstructed sunspot number data to determine whether solar signal is presents in PN speleothem. The occurrence of significant solar periodicities (i.e., cycles of Gleissberg, de Vries, unnamed 500 years, Eddy and Hallstat) supports for an impact of solar forcing on PN speleothem trace elements contents. Moreover, several intervals of significant rapid climate change were detected during the Holocene at 10.3, 9.3–9.5, around 8.2, 6.4–6.2, 4.7–4.5, and around 2.7 ka BP. Those intervals are similar to the cold events evidenced in different natural paleoclimate archivers, suggesting common climate forcing mechanisms related to changes in solar irradiance.