In vitro RNA-dependent RNA polymerase assays revealed that the JEV replication complex (RC) synthesized viral RNA utilizing a semiconservative and asymmetric mechanism. Peak viral replicase activity and levels of viral RNA observed 15-18 h postinfection (h p.i.) preceded maximum viral titers in the culture medium seen 21 h p.i. Among divalent cations, $Mg^{2+}$ was essential and exhibited cooperative binding for its two replicase-binding sites. $Mn^{2+}$, despite sixfold higher affinity for the replicase, elicited only 70% of the maximum $Mg^{2+}$-dependent activity, and deficit of either cation led to synthesis of incomplete RNA products. We also determined as a first instance for a flavivirus RC, kinetic parameters using cytoplasmic "virus-induced heavy membranes" after depleting endogenous nucleotides. Exhaustive trypsin treatment, which degraded the bulk of NS3 and NS5, had no effect on replicase activity, suggesting that the active flaviviral RC resides behind a membrane barrier and recruits minuscule proportions of the replicase proteins

Uchil, Pradeep Devappa

Satchidanandam, Vijaya

Pierre de Fermat jedan je od najvećih matematičara 17. stoljeća. Smatra ga se utemeljiteljem moderne teorije brojava. Glavni cilj ovog diplomskog rada  je prikazati i dijelom dokazati Fermatove rezultate i doprinose u teoriji brojeva. Fermat je dao čitav niz tvrdnji, uglavnom bez dokaza, koje su se godinama, a neke i stoljećima kasnije pokazale istinitima. Fermat je poznat po brojevima oblika $F_m=2^{2^{m}}+1, m \in \mathbb{N}$ koji se zovu Fermatovi brojevi te po svom doprinosu u razvoju diofantskih jednadžbi. U radu su iskazani i dokazani (svi osim posljednjeg) Fermatovi teoremi: Mali Fermatov teorem, Teorem o zbroju dva kvadrata, Teorem o poligonalnim brojevima i Veliki Fermatov teorem. Osim teorema u radu su opisane i na primjerima objašnjene dvije Fermatove metode: Fermatova metoda faktorizacije i Fermatova metoda neprekidnih silazaka.Pierre de Fermat is one of the greatest mathematicians of 17. century. He is considered a founder of modern number theory. The main purpose of this work is to present and partly to prove the results and contributions Fermat’s contributions to number theory. Fermat gave a whole series of assertions, mostly without the proof, which have been years, and some of them centuries later proved to be true. Fermat is famous for his numbers $F_m=2^{2^{m}}+1, m \in \mathbb{N}$, which we call Fermat’s numbers, and for his contributions in development of Diophant’s equations. In the work are presented and proved (all except the last one) following theorems: Fermat’s Little theorem, Two-Square Theorem, Fermat polygonal number theorem and Fermat’s Last Theorem. Except the theorems, two Fermat’s methods: Fermat’s factorizations method and Fermat’s method of infinite descent are described and explained trough the examples

Plantak, Valentina

Repository of Faculty of Science, University of Zagreb

Fermatov doprinos u teoriji brojeva

Croatian Digital Thesis Repository

Open Access Repository of IISc Research Publications