We investigate mathematical models of the Hepatitis B and C viruses in the study, considering vaccination effects into account. By utilising fractional and ordinary differential equations, we prove the existence of equilibrium and the well-posedness of the solution. We prove worldwide stability with respect to the fundamental reproduction number. Our numerical techniques highlight the biological relevance and highlight the effect of fractional derivatives on temporal behaviour. We illustrate the relationships among susceptible, immunised, and infected populations in our epidemiological model. Using comprehensive numerical simulations, we analyse the effects of fractional derivatives and highlight solution behaviours. Subsequent investigatio

Background: The COVID-19 pandemic has an immense effect not only on the social and economic lives of people but also on the surgical lives of surgeons, residents, nursing staff, and patients as well as ground level staff. Amidst this COVID pandemic, emergency surgeries were being done but at a decreased rate, whereas elective cases depended on the will of hospitals, surgeons, and patients. Study aims to promulgate a "Neo–Surgical Check Box" by amalgamating the WHO surgical checklist and the results obtained from the questionnaires.

Subjects and Methods: After receiving ethical clearance from the Institute Ethical Committee, an online questionnaire with 50 questions divided into

For a connected topological space M we define the homeomorphism and period noncoincidence indices of M, each of them is topological invariant reflecting the abundance of fixed point free self homeomorphisms and periodic point free self maps defined on M respectively. We give some results for computing each of these indices and we give some examples and some results relating these indices with Hoffman index.

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This paper deals with the preparation and investigation studies of a number of new complexes of Cu(II) , Zn(II) , Hg(II) , Ag(I) , Pt(IV) and Pb(II).The complexes were formed by the reaction of the mentioned metal ions with the ligand which is derived from oxadiazole (OXB), 2- (2-butyl) thio-5- phenyl – 1,3,4 – oxadiazole in the mole ratio (1:1) , (1:2) and (1:3) (metal to ligand ).The result complexes having general formulae :M(OXB)Cl2] [M(OXB)X2]H2O [ M= Cu(II) , Zn(II) M= Hg(II) , Pb(II) [M(OXB)2 X2] X= Cl– M = Cu (II), Zn (II), Hg (II), Pb (II) X= Cl–, NO3-, CH3COO- [Pt(OXB)3]Cl4 [Ag(OXB)]NO32-(2-??????? ) ???? -5- ???

Background : Bone infections is one of the most challenging orthopaedic complications, with considerable morbidity. There is significant impact on the life of the patients; socially, financially, physically, and mentally and it could be a limb-threatening complication. Osteomyelitis is a bone infection usually caused by bacteria, including mycobacteria, but mainly Staphylococcus aureus which is the most commonly responsible bacteria . Aim of study: To evaluate our management policy of chronic osteomylitis (C.O.M).
Methods : 32 patients presented with different types &forms of chronic osteomyelitis in many sites of long & flat bones such as tibia , femur, ,humerus ,iliac bones and knee joint , which are not response to previous

Background: Chondrosarcoma is the second most frequent primary malignant tumor of bone. It is considered relatively an uncommon tumor. Generally it is not common for chondrosarcoma to attend huge size; however, one type was described as mesenchymal chondrosarcoma of low grade cartilaginous cells, with female predominance which can grow to exceptionally large size. Case Presentation: We report a case of Chondrosarcoma, in 30 years old woman of 4 years duration, with a huge mass (weighted 16 Kg) and roughly measured 40x30 x20cm, around the right shoulderInvestigations: Repeated MRI of the shoulder and trunk revealed a clear plane of cleavage between the tumor mass and the chest and abdominal walls and absence of invasion of the abdomen. Ul