Results 1 to 10 of about 80,113 (268)
Frequency-Specific Transcranial Photobiomodulation Elicits Complementary Glial Mechanisms for Neurovascular Protection and Amyloid Clearance in Alzheimer Disease [PDF]
Cyborg and Bionic SystemsAlzheimer disease (AD), a devastating neurodegenerative disorder, is pathologically defined by amyloid-β (Aβ) deposition and neurofibrillary tangles. Critically, concomitant cerebrovascular dysfunction compromises neuronal homeostasis and significantly ...
Bowen Zhang +8 more
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A Cheeger-Buser-type inequality on CW complexes [PDF]
International Journal of Group Theory, 2023 We extend the definition of boundary expansion to CW complexes and prove a Cheeger-Buser-type relation between the spectral gap of the Laplacian and the boundary expansion of an orientable CW complex.
Grégoire Schneeberger
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The fundamental group of the space $\Omega_n(m)$
Researches in Mathematics, 2022 In the present paper the spaces $\Omega_n(m)$ are considered. The spaces $\Omega_n(m)$, introduced in 2018 by A.M. Pasko and Y.O. Orekhova, are the generalization of the spaces $\Omega_n$ (the space $\Omega_n(2)$ coincides with $\Omega_n$).
A.M. Pasko
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Plants, 2021 The plant cell wall (CW) is a complex structure that acts as a mechanical barrier, restricting the access to most microbes. Phytopathogenic microorganisms can deploy an arsenal of CW-degrading enzymes (CWDEs) that are required for virulence.
Riccardo Lorrai, Simone Ferrari
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On the homology groups $H_k(\mathbb{C}\Omega_n)$, $k=1, ..., n$
Researches in Mathematics, 2021 In the paper the homology groups of the $(2n+1)$-dimensional CW-complex $\mathbb{C}\Omega_n$ are investigated. The spaces $\mathbb{C}\Omega_n$ consist of complex-valued functions and generalize the widely known in the approximation theory spaces ...
A.M. Pasko
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Predicting crown width using nonlinear mixed-effects models accounting for competition in multi-species secondary forests [PDF]
PeerJ, 2022 Crown width (CW) is an important tree variable and is often used as a covariate predictor in forest growth models. The precise measurement and prediction of CW is therefore critical for forest management.
Rui Hou, Zongzheng Chai
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The homology groups $H_{n+1} \left( \mathbb{C}\Omega_n \right)$
Researches in Mathematics, 2022 The topic of the paper is the investigation of the homology groups of the $(2n+1)$-dimensional CW-complex $\mathbb{C}\Omega_n$. The spaces $\mathbb{C}\Omega_n$ consist of complex-valued functions and are the analogue of the spaces $\Omega_n$, widely ...
A.M. Pasko
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ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES [PDF]
Journal of Algebraic Systems, 2019 K. Borsuk in 1979, at the Topological Conference in Moscow, introduced concept of the capacity of a compactum and asked some questions concerning properties of the capacity ofcompacta.
Mojtaba Mohareri +2 more
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CW-complex Nagata idealizations
Advances in Applied Mathematics, 2020 We introduce a novel construction which allows us to identify the elements of the skeletons of a CW-complex $P(m)$ and the monomials in $m$ variables. From this, we infer that there is a bijection between finite CW-subcomplexes of $P(m)$, which are quotients of finite simplicial complexes, and some bigraded standard Artinian Gorenstein algebras ...
Armando Capasso +2 more
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The Betti numbers of the space $\mathbb{C}\Omega_3$
Researches in Mathematics, 2020 The space $\mathbb{C}\Omega_3$ is considered. The Betti numbers of the space $\mathbb{C}\Omega_3$ are calculated.
A.M. Pasko
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