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963. DNA quadruplex structure with a unique cation dependencyMartin Gajarský, Petr Stadlbauer, Jiří Šponer, Anne Cucchiarini, Michaela Dobrovolna, Vaclav Brazda, Jean-Louis Mergny, Lukáš Trantírek, Martina Lenarčič Živković, 2024, original scientific article Published in DiRROS: 07.03.2024; Views: 406; Downloads: 290
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966. Targeted gene therapy in radiotherapyUrška Kamenšek, Gregor Serša, 2008, review article Abstract: The dramatic pace in development of gene therapy over the past decades has made it a realistic alternative for the treatment of cancer. Radiotherapy, on the other hand, is one of the most commonly used and well established cancer treatment modalities. The latest improvements in the physical targeting ability of radiotherapy and understanding of the molecular mechanism involved in the cellular response to ionizing radiation have presented an opportunity to combine radiotherapy with gene therapy. This review article will focus on gene therapy strategies that can be used to enhance the effectiveness of radiotherapy, with an emphasis on transcriptional targeting approaches.
Published in DiRROS: 07.03.2024; Views: 247; Downloads: 69
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969. Značilnosti in gospodarjenje z gozdovi plemenitih listavcev - habitatni tip Javorovi gozdovi (Natura 2000) : spletni seminar ZGS, Ljubljana, 15. februar 2024Valerija Babij, Lado Kutnar, Janez Kermavnar, Anže Martin Pintar, 2024, other monographs and other completed works Keywords: vegetacija, rastišče, ekologija gozda, gozdovi plemenitih listavcev, gospodarjenje z gozdovi, Natura 2000
Published in DiRROS: 05.03.2024; Views: 344; Downloads: 83
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970. Lower bounds on the homology of Vietoris–Rips complexes of hypercube graphsHenry Adams, Žiga Virk, 2024, original scientific article Abstract: We provide novel lower bounds on the Betti numbers of Vietoris-Rips complexes of hypercube graphs of all dimensions, and at all scales. In more detail, let $Q_n$ be the vertex set of $2^n$ vertices in the $n$-dimensional hypercube graph, equipped with the shortest path metric. Let ${\rm VR}(Q_n;r)$ be its Vietoris-Rips complex at scale parameter $r \ge 0$, which has $Q_n$ as its vertex set, and all subsets of diameter at most $r$ as its simplices. For integers $r < r'$ the inclusion ${\rm VR}(Q_n;r) \hookrightarrow {\rm VR}(Q_n;r')$ is nullhomotopic, meaning no persistent homology bars have length longer than one, and we therefore focus attention on the individual spaces ${\rm VR}(Q_n;r)$. We provide lower bounds on the ranks of homology groups of ${\rm VR}(Q_n;r)$. For example, using cross-polytopal generators, we prove that the rank of $H_{2^r-1}({\rm VR}(Q_n;r))$ is at least $2^{n-(r+1)}\binom{n}{r+1}$. We also prove a version of homology propagation: if $q\ge 1$ and if $p$ is the smallest integer for which ${\rm rank} H_q({\rm VR}(Q_p;r)) \neq 0$, then ${\rm rank} H_q({\rm VR}(Q_n;r)) \ge \sum_{i=p}^n 2^{i-p} \binom{i-1}{p-1} \cdot {\rm rank} H_q({\rm VR}(Q_p;r))$ for all $n \ge p$. When $r \le 3$, this result and variants thereof provide tight lower bounds on the rank of $H_q({\rm VR}(Q_n;r))$ for all $n$, and for each $r \ge 4$ we produce novel lower bounds on the ranks of homology groups. Furthermore, we show that for each $r\ge 2$, the homology groups of ${\rm VR}(Q_n;r)$ for $n \ge 2r+1$ contain propagated homology not induced by the initial cross-polytopal generators.
Keywords: Vietoris–Rips complexes, clique complexes, hypercubes, Betti numbers
Published in DiRROS: 05.03.2024; Views: 316; Downloads: 119
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