Defect versus defect: stationary states of single file marching in periodic landscapes with road blocks

Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-dimensional driven single file motion. We study a periodic TASEP with two ``road blocks'' or defects of different kinds, one point and another extended, across which particle flows are inhibited. We show how the interplay between particle number conservation and competition between the defects lead to inhomogeneous steady states with localised domain walls (LDW) or static density shocks, whose locations jump discontinuously, indicating a first order transition between these LDW states, as the system passes from being controlled by one defect to the other. When the defects are ``competing'', instead of an LDW a pair of delocalised domain walls are found, none of which can penetrate the extended defect. A minimum current principle can be used to identify the dominant defect that controls the domain wall formations.Comment: 10 pages, 8 figures, supplementary movies available on reques

An Effective Approach to Reduce the Penetration Potential of SARS-CoV-2 and other Viruses by Spike Protein: Surface Particle Electrostatic Charge Negotiation

The objective of this paper is to provide a mathematical model to construct a barrier that may be useful to prevent the penetration of different viruses (e.g. SARS-COV-2) as well as charged aerosols through the concept of electrostatic charge negotiation. (Fusion for the opposite types of charges and repulsion for the similar types of charges). Reviewing the works of different authors, regarding charges, surface charge densities (?), charge mobility (?) and electrostatic potentials of different aerosols under varied experimental conditions, a similar intensive study has also been carried out to investigate the electron donating and accepting (hole donating) properties of the spike proteins (S-proteins) of different RNA and DNA viruses, including SARS-COV-2. Based upon the above transport properties of electrons of different particles having different dimensions, a mathematical model has been established to find out the penetration potential of those particles under different electrostatic fields. An intensive study have been carried out to find out the generation of electrostatic charges due to the surface emission of electrons (SEE), when a conducting material like silk, nylon or wool makes a friction with the Gr IV elements like Germanium or Silicon, it creates an opposite layer of charges in the outer conducting surface and the inner semiconducting surface separated by a dielectric materials. This opposite charge barriers may be considered as Inversion layers (IL). The electrostatic charges accumulated in the layers between the Gr IV Ge is sufficient enough to either fuse or repel the charges of the spike proteins of the RNA, DNA viruses including COVID-19 (RNA virus) or the aerosols

Changing profile of GAD and IA-2 antibody positivity in Indian children with recently diagnosed type 1 diabetes mellitus

Introduction. Published literature on type 1 diabetes (T1DM) patients from India suggests that a substantial number of them are negative to GAD 65 and IA-2 an­tibodies. Antibody positivity rates have been linked to dietary and socio-economic factors and more recently, to changes in the enterobiome. Our anecdotal evidence indicated that antibody positivity rates among newly diagnosed T1DM children were rising. In this presen­tation we have formally collated our data on these antibodies, a first, we believe, in the Indian pediatric population. Material and methods. T1DM was diagnosed by stand­ard clinical criteria advocated by American Diabetes Association including in all patients, the presence of diabetic ketoacidosis (DKA). We used plasma blood glucose rather than A1C to diagnose the acute onset of type 1 diabetes in individuals with symptoms of hy­perglycemia. All patients with this diagnosis had GAD (glutamic acid decarboxylase) and IA-2 (insulinoma antigen 2) antibodies measured as a routine procedure from 2007. Data on patients between the ages of 1 and 16 years as on 31st August 2016 were collected for this study. The antibodies were measured by standard RIA kits from the same manufacturer and performed in the endocrinology laboratory of one of the institutions. Results. We included 694 T1DM cases from 2007 till 2016, out of which 296 were antibody positive. A total of 172 were GAD antibody positive, 62 were IA-2 anti­body positive and 90 exhibited dual antibody positivity (GAD positive + IA-2 positive). The chi-square test for trend analysis showed a significant rising trend for IA-2 antibody alone positive (p < 0.001, chi-square for trend = 17.437, df = 1) and either antibody positive percentages (p < 0.001, chi-square for trend = 22.71, df = 1), but not in the GAD antibody positivity (p = 0.059, chi-square for trend = 3.567, df = 1) and in dual antibody positive percentages (p = 0.486, chi-square for trend = 0.485, df = 1) over a period of 9 years i.e. from 2007 to 2016. Conclusion. Antibody positivity rates in recently di­agnosed T1DM children have changed fairly rapidly over the last nine years. This surge in autoimmunity may also be a significant contributing factor towards the recent increased incidence of T1DM in India