Stability and numerical analysis via non-standard finite difference scheme of a nonlinear classical and fractional order model.

In this paper, we develop a new mathematical model for an in-depth understanding of COVID-19 (Omicron variant). The mathematical study of an omicron variant of the corona virus is discussed. In this new Omicron model, we used idea of dividing infected compartment further into more classes i.e asymptomatic, symptomatic and Omicron infected compartment. Model is asymptotically locally stable whenever R0<1 and when R0≤1 at disease free equilibrium the system is globally asymptotically stable. Local stability is investigated with Jacobian matrix and with Lyapunov function global stability is analyzed. Moreover basic reduction number is calculated through next generation matrix and numerical analysis will be used to verify the model with real data. We consider also the this model under fractional order derivative. We use Grunwald-Letnikov concept to establish a numerical scheme. We use nonstandard finite difference (NSFD) scheme to simulate the results. Graphical presentations are given corresponding to classical and fractional order derivative. According to our graphical results for the model with numerical parameters, the population's risk of infection can be reduced by adhering to the WHO's suggestions, which include keeping social distances, wearing facemasks, washing one's hands, avoiding crowds, etc.

Genetic history of hepatitis C virus in Pakistan.

Hepatitis C virus (HCV) genotype 3a accounts for ∼80% of HCV infections in Pakistan, where ∼10 million people are HCV-infected. Here, we report analysis of the genetic heterogeneity of HCV NS3 and NS5b subgenomic regions from genotype 3a variants obtained from Pakistan. Phylogenetic analyses showed that Pakistani genotype 3a variants were as genetically diverse as global variants, with extensive intermixing. Bayesian estimates showed that the most recent ancestor for genotype 3a in Pakistan was last extant in ∼1896-1914 C.E. (range: 1851-1932). This genotype experienced a population expansion starting from ∼1905 to ∼1970 after which the effective population leveled. Death/birth models suggest that HCV 3a has reached saturating diversity with decreasing turnover rate and positive extinction. Taken together, these observations are consistent with a long and complex history of HCV 3a infection in Pakistan.

Inhibitory effect of kaolin minerals compound against hepatitis C virus in Huh-7 cell lines.

BACKGROUND: Hepatitis C virus (HCV) is estimated to infect 200 million individuals in the globe, including approximately 10 million in Pakistan causing both acute and chronic hepatitis. The standard treatment against HCV is pegylated interferon therapy in combination with a nucleoside analogue ribavirin. In addition, several herbal extracts and phytochemicals derivatives are used traditionally in the treatment of liver diseases as well as HCV infection. The present study determines the inhibitory effect of kaolin minerals compound against hepatitis C virus in Huh-7 cell lines. METHODS: Huh-7 cell lines were used for the in vitro HCV replication by using HCV positive sera from different patients with known HCV genotypes and viral titer/load. Total RNA was extracted from these infected cells and was quantified by real-time polymerase chain reaction (Real-time PCR). The viral titer was compared with the control samples to determine the anti-HCV activity of kaolin derived compounds. Kaolin is a group of clay minerals, with the chemical composition Al2 Si2O5 (OH)4. RESULTS: The results showed promising effectiveness of local kaolin derived anti-HCV compounds by causing 28% to 77% decrease in the HCV titer, when applied to infected Huh-7 cell lines. This study provides the basis for future work on these compounds especially to determine the specific pathway and mechanism for inhibitory action in the replicon systems of viral hepatitis. CONCLUSIONS: Kaolin mineral derivatives show promising inhibitory effects against HCV genotypes 3a and 1a infection, which suggests its possible use as complementary and alternative medicine for HCV viral infection.

Evaluation of three different hepatitis C virus typing methods for detection of mixed-genotype infections.

OBJECTIVE: To evaluate the clinical applicability of an eligible assay for the true prevalence of hepatitis C virus (HCV) mixed-genotype infections. METHODS: A newly developed HCV genotyping method targeting all six major HCV genotypes and 12 subtypes, restriction fragment length polymorphism (RFLP) and a serotyping assay were utilized for the detection of HCV mixed-genotype infections using known HCV genotypes and unknown samples. RESULTS: In a defined mix of HCV genotypes, a genotype present at levels as low as 8.3% was detected by our newly developed assay, showing a threefold increase in sensitivity over that of direct deoxyribonucleic (DNA) sequencing. A comparative study of the accuracy among the three genotyping methods was carried out on samples obtained from 50 thalassemic patients who received multiple blood transfusions. The results showed that viruses in approximately 42% of the samples from this group were determined to be infected with mixed genotypes by our newly developed method. A serotyping assay and RFLP analysis, performed with poor results, could identify only 18% and 10% of mixed-genotype infections, respectively. CONCLUSION: The newly developed assay may be the method of choice when detection of genotypes present at low levels in mixed-genotype infections due to its higher level of sensitivity.

Positional effect of phosphorylation sites 266 and 267 in the cytoplasmic domain of the E2 protein of hepatitis C virus 3a genotype: interferon resistance analysis via sequence alignment.

BACKGROUND: Interferon is well thought-out as the key defence against all infections including HCV. The only treatment for HCV infection is pegylated interferon alpha (IFN-α) but unluckily more than half of the infected individuals do not act in response to the cure and become chronic HCV carriers. The mechanism how HCV induce interferon resistance is still elusive. It is recently reported that HCV envelope protein 2 interacts with PKR which is the interferon-inducible protein kinase and which in turn blocks the activity of its target molecule called eukaryotic initiation factor elF2. Sequence analysis of Envelope protein reveals it contains a domain homologous to phosphorylation sites of PKR andthe translation initiation factor eIF2alpha. Envelope protein competes for phosphorylation with PKR. Inhibition of kinase activity of PKR is postulated as a mechanism of to interferon (IFN) resistance. RESULTS: Present study involves the insilico investigation of possible role of potential phosphorylation in envelope 2 protein of 3a genotype in interferon resistance. Envelope protein coding genes were isolated from local HCV isolates, cloned and sequenced. Phylogenetic analysis was done and tertiary structure of envelope gene was predicted. Visualization of phosphorylation in tertiary structure reveals that residue 266 and 267 of envelope gene 2 are surface exposed and their phosphorylation may compete with the phosphorylation of PKR protein and possibly involved in mediating Interferon Resistance. CONCLUSION: A hybrid in-silico and wet laboratory approach of motif prediction, evolutionary and structural analysis has pointed out serine 266 and 267 of the HCV E2 gene as a hopeful claimant for the serine phosphorylation. Recognition of these nucleotide variations may assist to propose genotype precise therapy to avoid and resolve HCV infections.

Hepatitis B virus in Pakistan: a systematic review of prevalence, risk factors, awareness status and genotypes.

In Pakistan, there are estimated 7-9 million carriers of hepatitis B virus (HBV) with a carrier rate of 3-5%. This article reviews the available literature about the prevalence, risk factors, awareness status and genotypes of the HBV in Pakistan by using key words; HBV prevalence, risk factors, awareness status and genotypes in Pakistani population in PubMed, PakMediNet, Directory of Open Access Journals (DOAJ) and Google Scholar. One hundred and six different studies published from 1998 to 2010 were included in this study. Weighted mean and standard deviation were determined for each population group. The percentage of hepatitis B virus infection in general population was 4.3318% ± 1.644%, healthy blood donors (3.93% ± 1.58%), military recruits (4.276% ± 1.646%), healthcare persons (3.25% ± 1.202%), pregnant women (5.872% ± 4.984), prisoners (5.75% ± 0.212%), surgical patients (7.397% ± 2.012%), patients with cirrhosis (28.87% ± 11.90%), patients with HCC (22% ± 2.645%), patients with hepatitis (15.896% ± 14.824%), patients with liver diseases (27.54% ± 6.385%), multiple transfused patients (6.223% ± 2.121%), opthalmic patients (3.89% ± 1.004%) and users of injectable drugs (14.95% ± 10.536%). Genotype D (63.71%) is the most prevalent genotype in Pakistani population. Mass vaccination and awareness programs should be initiated on urgent basis especially in populations with HBV infection rates of more than 5%.

The changing epidemiology pattern and frequency distribution of hepatitis C virus in Pakistan.

Information regarding the changing pattern in hepatitis C virus (HCV) genotypes/subtypes and resulting disease outcome is not well known. The specific objective of this study was to find out the frequency distribution of HCV genotypes and changing pattern of various HCV genotypes overtime in well-characterized Pakistani HCV isolates. The genotype distribution of HCV from all the four provinces of Pakistan was tracked for a period of 10 years (2000-2009) on total 20,552 consecutive anti-HCV and HCV RNA positive patients sample using type-specific genotyping assay. Of these, 16,891 (82.2%) samples were successfully genotyped. Of these 11,189 (54.4%) were males and 9363 (45.55%) were females. Of the successfully genotyped samples, 12,537 (74.2%) were with 3a, 1834 (10.9%) with 3b, 50 (0.24%) with 3c, 678 (3.3%) with 1a, 170 (0.83%) with 1b, 49 (0.24%) with 1c, 431 (2.1%) with 2a, 48 (0.23%) with 2b, 3 (0.01%) with 2c, 13 (0.06%) with 5a, 12 (0.06%) with 6a, 101 (0.49%) with 4, and 965 (4.7%) were with mixed-genotype infection. A changing pattern of HCV genotypes prevalence was observed in Pakistan overtime, with an increase in the relative proportion of genotype 3a and mixed genotypes and a decrease of genotypes 3b, 2b, 4, 5a and 2a. This changed HCV genotype pattern might have direct impact on HCV disease outcome and new therapeutic strategies may be needed.