Conveners
Poster session + káva: prezentácie študentov Matematika
- Zuzana Chladna
- Katarina Bodova (Comenius University)
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12. Matched Asymptotic Analysis of the Luria–Delbrück Distribution in a Reversible Fluctuation Assay11/26/25, 11:00 AMPoster session + káva: prezentácie študentov MatematikaŠtudenti matematika
We study a fluctuation test where cell colonies grow from a single cell to a specified population size before undergoing treatment. During growth, cells may acquire resistance to treatment and pass it to their offspring with a small probability. Unlike the classical Luria–Delbrück test, which assumes irreversible resistance, our model allows resistant cells to revert to a drug-sensitive state....
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11/26/25, 11:01 AMPoster session + káva: prezentácie študentov MatematikaŠtudenti matematika
Gene expression is inherently stochastic, resulting in cell-to-cell variability in protein levels, even among genetically identical cells.
Such variability plays a crucial role in such processes as cell differentiation, stress response, and antibiotic tolerance.- Proteins are synthesized in instantaneous discrete events, bursts, each producing a random number of...
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11/26/25, 11:02 AMPoster session + káva: prezentácie študentov MatematikaŠtudenti matematika
The classification of smooth structures on a manifold $X$ is a classical problem in topology. Surgery theory provides a framework for solving this problem by calculating the structure set of $X$. One of the steps in this process involves finding normal invariants, which can be represented by a homotopy class of maps from $X$ to the space $\text{G}/\text{O}$. A similar notion exists in the...
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11/26/25, 11:03 AMPoster session + káva: prezentácie študentov MatematikaŠtudenti matematika
This project is concerned with the problem of classifying different smooth structures admitted by a smooth manifold up to homotopy. This classification is made possible by the tools of surgery theory and is summarized in the notion of the smooth structure set $\mathcal{S}^{DIFF}(X)$ of a smooth manifold $X$. We focus on cases when $X$ is the product of the complex projective space with a...
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