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Reversing orientation homeomorphisms of surfaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 Let $M$ be a connected compact orientable surface, $f:M\to \mathbb{R}$ be a Morse function, and $h:M\to M$ be a diffeomorphism which preserves $f$ in the sense that $f\circ h = f$. We will show that if $h$ leaves invariant each regular component of each
Iryna Kuznietsova, Sergiy Maksymenko
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Using the Evolution Operator to Classify Evolution Algebras
Mathematical and Computational Applications, 2021 Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications to different scientific disciplines, such as Physics or Engineering, for instance.
Desamparados Fernández-Ternero +2 more
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Kibble–Zurek scaling due to environment temperature quench in the transverse field Ising model
Scientific Reports, 2023 The Kibble–Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as $$\tau ^{-d\nu
Ádám Bácsi, Balázs Dóra
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Smooth approximations and their applications to homotopy types
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with the corresponding weak Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset.
Олександра Олександрівна Хохлюк +1 more
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Pharmaceuticals, 2022 Even if amyotrophic lateral sclerosis is still considered an orphan disease to date, its prevalence among the population is growing fast. Despite the efforts made by researchers and pharmaceutical companies, the cryptic information related to the ...
Maria Galvez-Llompart +3 more
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Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
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Supervised topological data analysis for MALDI mass spectrometry imaging applications
BMC Bioinformatics, 2023 Background Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI MSI) displays significant potential for applications in cancer research, especially in tumor typing and subtyping.
Gideon Klaila +2 more
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Topological exploration of artificial neuronal network dynamics [PDF]
Network Neuroscience, 2019 One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected.
Jean-Baptiste Bardin +2 more
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Biomedicines, 2022 During an emergency, such as a pandemic in which time and resources are extremely scarce, it is important to find effective and rapid solutions when searching for possible treatments. One possibility in this regard is the repurposing of available “on the
Maria Galvez-Llompart +4 more
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Advanced Biology, Volume 6, Issue 12, December 2022., 2022 Fabrication of a lithography‐less Cayley‐tree pattern to generate a blood‐brain barrier‐on‐a‐chip. The shape of the microchannels in the Cayley‐tree pattern is semi‐elliptical with smooth variation in the height of the microchannels from the parent branch to daughter branches.
Ami Mehta +9 more
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