We have proved the quantum mechanical H-theorem for dilute Bose and Fermi gases by generalizing the quantum statistical Boltzmann equation for all possible many-body elastic collisions among the particles in the quantum gases within the Lippmann-Schwinger formalism. Previous study by Pauli did almost the same only for binary elastic collisions. We are considering all possible many-body elastic collisions for the current study. Our proof offers a better understanding to the foundation of the second law of thermodynamics for quantum gases.

The aim of this paper is to investigate the influence of visco-elasticity on steady, two-dimensional flow of an electrically conducting visco-elastic fluid past an inclined surface through a porous medium. The effect of chemical reaction with constant heat and mass flux is also considered into account. The flow is subjected to an external uniform magnetic field normal to the direction of flow. The differential model is termed as second-grade fluid which follows from generalized Rivlin-Ericksen's fluid. Analytical solutions to the coupled non-linear equations governing the flow are obtained by using regular perturbation technique. The expressions for velocity field, temperature field, concentration field, Shearing stress at the plate are derived analytically. The rate of heat transfer and rate of mass transfer in terms of Nusselt number and Sherwood number are also obtained in non-dimensional forms. The results are discussed graphically in possible cases for various combinations of physical parameters. The relevancy of this work has been noticed in the fields of chemical engineering and geophysical applications.

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Hidradenoma papilliferum is a rare benign adnexal tumor with apocrine differentiation seen in anogenital area of women. We present a 25 year old female presenting with an asymptomatic mass in the vulva. On examination, a single round nodule was seen in the vulva , firm and non-tender. A clinical diagnosis of Bartholin's cyst was made. On gross examination, a brownish mass measuring 1.5 X 1.5 X 1.5cms was seen which was greyish white on cut section. H &E stained sections showed papillary and complex glandular structures lined by columnar cells with eosinophilic cytoplasm. A diagnosis of papillary hidradenoma was made. This case is presented due to its rarity and to emphasise that while evaluating vulval nodules, hidradenoma needs to be considered, as these lesions lack distinctive clinical characteristics.

Breast carcinoma is the most common malignancy in females and is a leading cause of death. Treatment depends upon various pathological and prognostic markers like lymph node status, size, type and grade of the tumour which influences the outcome of breast cancer. Markers like Ki-67 and p53 have been studied extensively and their roles in breast cancer are yet to be established.We evaluated the expression of Ki67 and P53 in breast cancer and their association with other clinico-pathological factors was studied. Ki67 and P53 expression was assessed in 60 breast cancer cases admitted to our hospital over a period of one year. Association with other prognostic parameters was evaluated. Statistical analysis was done by Chi square test and a p value of <0.05 was taken as significant. 43.33% cases had low proliferative Ki-67 score whereas 56.67% of the cases were highly proliferative. p53 expression was seen in 41.66% cases. Ki-67 and p53 expression were not significantly related to age, menopausal status, and tumour size whereas a significant correlation was seen with positive axillary lymph node status, high histological grade, negative hormone receptor status (ER, PR) and positive HER2/neu expression. Significant association was seen between Ki-67 and p53 expression.Ki67 and P53 may be considered as a valuable biomarker in breast cancer patients which can help in planning treatment strategies.