The importance of circulating tumor products as „liquid biopsies” in colorectal cancer

Liquid biopsies represent an array of plasma analysis tests that are studied to evaluate and identify circulating tumor products, especially circulating tumor cells (CTCs) and circulating tumor DNA (ctDNA). Examining such biomarkers in the plasma of colorectal cancer patients has attracted attention due to its clinical significance in the treatment of malignant diseases. Given that tissue samples are sometimes challenging to procure or unsatisfactory for genomic profiling from patients with colorectal cancer, trustworthy biomarkers are mandatory for guiding treatment, monitoring therapeutic response, and detecting recurrence. This review considers the relevance of flowing tumor products like circulating tumor cells (CTCs), circulating tumor DNA (ctDNA), circulating messenger RNA (mRNA), circulating micro RNA (miRNA), circulating exosomes, and tumor educated platelets (TEPs) for patients with colorectal cancer

Nonlinear Schroedinger equation with two symmetric point interactions in one dimension

We consider a time-dependent one-dimensional nonlinear Schroedinger equation with a symmetric potential double well represented by two delta interactions. Among our results we give an explicit formula for the integral kernel of the unitary semigroup associated with the linear part of the Hamiltonian. Then we establish the corresponding Strichartz-type estimate and we prove local existence and uniqueness of the solution to the original nonlinear problem

The importance of circulating tumor products as „liquid biopsies” in colorectal cancer

Liquid biopsies represent an array of plasma analysis tests that are studied to evaluate and identify circulating tumor products, especially circulating tumor cells (CTCs) and circulating tumor DNA (ctDNA). Examining such biomarkers in the plasma of colorectal cancer patients has attracted attention due to its clinical significance in the treatment of malignant diseases. Given that tissue samples are sometimes challenging to procure or unsatisfactory for genomic profiling from patients with colorectal cancer, trustworthy biomarkers are mandatory for guiding treatment, monitoring therapeutic response, and detecting recurrence. This review considers the relevance of flowing tumor products like circulating tumor cells (CTCs), circulating tumor DNA (ctDNA), circulating messenger RNA (mRNA), circulating micro RNA (miRNA), circulating exosomes, and tumor educated platelets (TEPs) for patients with colorectal cancer

Decidua – actualităţi morfofuncţionale

The processes of deciduation of endometrium prepare the appearences of a structure which reprezented by decidua. This khew structure will regulated acceptation graft. Reprezented by pregnancy through specifi c immunologic mechanisms, which add endocrine and paracrine functions of decidua. The resence in decidua structures of numerous cytokine and cells with particular structures and activity, will permite trophoblastic invasion and changes to the interface level of mathernoplacentar. Profound study on decidua will lead to undestand with very high fi neness the mechanisms which is stoy on the basis of trophoblastic invasion

Transition probabilities in the X(5) candidate 122^{122}Ba

To investigate the possible X(5) character of 122Ba, suggested by the ground state band energy pattern, the lifetimes of the lowest yrast states of 122Ba have been measured, via the Recoil Distance Doppler-Shift method. The relevant levels have been populated by using the 108Cd(16O,2n)122Ba and the 112Sn(13C,3n)122Ba reactions. The B(E2) values deduced in the present work are compared to the predictions of the X(5) model and to calculations performed in the framework of the IBA-1 and IBA-2 models

Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process

Consider the zero set of the random power series f(z)=sum a_n z^n with i.i.d. complex Gaussian coefficients a_n. We show that these zeros form a determinantal process: more precisely, their joint intensity can be written as a minor of the Bergman kernel. We show that the number of zeros of f in a disk of radius r about the origin has the same distribution as the sum of independent {0,1}-valued random variables X_k, where P(X_k=1)=r^{2k}. Moreover, the set of absolute values of the zeros of f has the same distribution as the set {U_k^{1/2k}} where the U_k are i.i.d. random variables uniform in [0,1]. The repulsion between zeros can be studied via a dynamic version where the coefficients perform Brownian motion; we show that this dynamics is conformally invariant.Comment: 37 pages, 2 figures, updated proof

Combined mechanism glaucoma asociated with Grave's Ophtalmopathy: Case report

A 69-year-old female presented marked vision loss in both eyes, intense photophobia and ocular pain. The patient had long history of uncompensated glaucoma, Graves ophtalmopathy, treated for several years with topical medication without normalizing the intraocular pressure. The patient undergo orbital decompression for Grave’s ophtalmopathy which ameliorated the exophthalmia. Visual assessment showed 0,08 best corrected visual acuity (BCVA) in the right eye respectively 0 in the left eye, posterior chamber pseudophakic implant both eyes, posterior capsular opacification left eye. The intraocular pressure was 18-25 mmHg in the right eye, respectively 14-19 mm Hg under topical medication. The cup-disc ratio was 0.8 in the RE respectively 0.9-1 in the LE. The visual field assessment in the RE showed relative central scotoma, complete lower arcuate (Bjerrum) scotoma, generalized depresion of VF. We performed RE trabeculectomy with 5 fluorouracil and collagen implant (OLOGEN®), with good postoperative evolution. The Visual Acuity improves significantly to 0.1, the IOP after a month was 15 mm Hg. The onset, symptomatology and general clinical context of the patient determined the focus on the neuro-ophthalmological aspect of the case, even if that meant that the control of the glaucoma, at times obviously inefficient, would remain second, from the perspective of its importance

Finite N Fluctuation Formulas for Random Matrices

For the Gaussian and Laguerre random matrix ensembles, the probability density function (p.d.f.) for the linear statistic $\sum_{j=1}^N (x_j - )$ is computed exactly and shown to satisfy a central limit theorem as $N \to \infty$. For the circular random matrix ensemble the p.d.f.'s for the linear statistics ${1 \over 2} \sum_{j=1}^N (\theta_j - \pi)$ and $- \sum_{j=1}^N \log 2|\sin \theta_j/2|$ are calculated exactly by using a constant term identity from the theory of the Selberg integral, and are also shown to satisfy a central limit theorem as $N \to \infty$.Comment: LaTeX 2.09, 11 pages + 3 eps figs (needs epsf.sty