Advancing Precision Medicine: Algebraic Topology and Differential Geometry in Radiology and Computational Pathology.

Precision medicine aims to provide personalized care based on individual patient characteristics, rather than guideline-directed therapies for groups of diseases or patient demographics. Images-both radiology- and pathology-derived-are a major source of information on presence, type, and status of disease. Exploring the mathematical relationship of pixels in medical imaging ("radiomics") and cellular-scale structures in digital pathology slides ("pathomics") offers powerful tools for extracting both qualitative and, increasingly, quantitative data. These analytical approaches, however, may be significantly enhanced by applying additional methods arising from fields of mathematics such as differential geometry and algebraic topology that remain underexplored in this context. Geometry's strength lies in its ability to provide precise local measurements, such as curvature, that can be crucial for identifying abnormalities at multiple spatial levels. These measurements can augment the quantitative features extracted in conventional radiomics, leading to more nuanced diagnostics. By contrast, topology serves as a robust shape descriptor, capturing essential features such as connected components and holes. The field of topological data analysis was initially founded to explore the shape of data, with functional network connectivity in the brain being a prominent example. Increasingly, its tools are now being used to explore organizational patterns of physical structures in medical images and digitized pathology slides. By leveraging tools from both differential geometry and algebraic topology, researchers and clinicians may be able to obtain a more comprehensive, multi-layered understanding of medical images and contribute to precision medicine's armamentarium.

A Review of Behavioral Tests to Evaluate Different Types of Anxiety and Anti-anxiety Effects.

Behavioral tests are very useful to understand the Neuro-psychotic disease and also helpful in finding the treatment of the particular disease. Nowadays various tests are available to evaluate the anxiolytics effect of a new entity or even for comparative studies with the standard drug. As per the ethics, a new compound or drug believes to have possible pharmacological effects should be tested on animals before tested on humans which have similar physiology than humans. First, rats were used for behavioral test for evaluation of anti-anxiety drug but later on the various strain of mice were added for evaluation of anxiolytics because of better genetic possibilities than rats. In this review article, we have discussed the most commonly used behavioral tests used to evaluate the anti-anxiety effect. Anxiolytics are the agent which are used to elevate anxiety effect produced due to any cause. The various parameter will be undertaken for the better and precise evaluation of anxiolytics.

Perioperative management of critical right ventricular inflow obstruction from right atrial rhabdomyoma.

Rhabdomyoma is the most common cardiac tumor in infancy and commonly located in the ventricles causing outflow obstruction or arrhythmias. We report a rare pediatric (7 month old) case of a right atrial rhabdomyoma presenting with severe cyanosis and low cardiac output from significant tricuspid inflow obstruction with right to left shunt across a stretched patent foramen ovale. We present an emergency cardiac surgery for right atrial tumor resection, and the management of separating the patient with failing right ventricle from cardiopulmonary bypass using a Glenn shunt, since extracorporeal membrane oxygenation (ECMO) or nitric oxide was not available.

Kinetics of dissociation of tris-(2,2'-bipyridyl) iron(II) in water solubilized by Triton X-100 reverse micelles.

The dissociation of tris-(2,2'-bipyridyl) iron(II) ([Fe(bipy)3]2+) has been studied in the Triton X-100/hexanol/cyclohexane reverse micellar medium. The reaction obeys simple first-order kinetics with no evidence of autoinhibition. The first-order rate constant (k1) has been determined at different values of W ([H2O]/[Triton X-100]). The rate (k1) decreases with increasing value of W. k1 also increases with increase in Triton X-100 concentration at constant values of W, showing that the reaction takes place at greater speed at the micellar interface. The kinetic results can be interpreted by the monomolecular pseudo-phase model. The effect of W on rate (k1) is more pronounced in the range of W from 1.55 to 4.2 but less pronounced at higher W. The reaction is further accelerated by Cl- and SCN- ions and the kinetic results provide evidence for the formation of ion pairs between the cation [Fe(bipy)3]2+ and each of these anions. The formation of such ion pairs has not been observed in aqueous medium but has been reported earlier in aqueous-alcohol mixtures. This result therefore provides evidence for the lower micropolarity of solubilized water compared to ordinary water.