On the solvability of convolution equations in $K'_{M}$

Pahk, Dae Hyeon; Sohn, Byung Keun

doi:10.21099/tkbjm/1496162880

Cited by 2 publications

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“…[ 15–17 ] These mechanical effects result from the production of inertial cavitating bubbles or microscopic boiling bubbles. [ 18,19 ] Compared with thermal ablation, non‐thermal cavitation ablation can destroy tumor tissue by the cavitation nuclei and overcome the limitation of thermal ablation on adjacent healthy tissue damage and residual scar tissue. [ 20,21 ] In addition, fragmentation of ablation tissue results in emulsified acellular (tumor) debris that can easily be removed via drainage or absorbed as part of the physiologic healing response and thus without leaving a necrotic lesion.…”

Section: Introductionmentioning

confidence: 99%

Synergistic Enzyme‐Mimetic Catalysis‐Based Non‐Thermal Sonocavitation and Sonodynamic Therapy for Efficient Hypoxia Relief and Cancer Ablation

Chen

et al. 2023

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Non‐invasive cancer treatment strategies that enable local non‐thermal ablation, hypoxia relief, and reactive oxygen species (ROS) production to achieve transiently destroying tumor tissue and long‐term killing tumor cells would greatly facilitate their clinical applications. However, continuously generating oxygen cavitation nuclei, reducing the transient cavitation sound intensity threshold, relieving hypoxia, and improving its controllability in the ablation area still remains a significant challenge. Here, in this work, an Mn‐coordinated polyphthalocyanine sonocavitation agent (Mn‐SCA) with large d‐π‐conjugated network and atomic Mn‐N sites is identified for the non‐thermal sonocavitation and sonodynamic therapy in the liver cancer ablation. In the tumor microenvironment, the catalytical generation of oxygen assists cavitation formation and generates microjets to ablate liver cancer tissue and relieve hypoxia, this work reports for the first time to utilize the enzymatic properties of Mn‐SCA to lower the cavitation threshold in situ. Moreover, under pHIFU irradiation, high reactive oxygen species (ROS) production can be achieved. The two merits in liver cancer ablation are demonstrated by cell destruction and high tumor inhibition efficiency. This work will help deepen the understanding of cavitation ablation and the sonodynamic mechanisms related to the nanostructures and guide the design of sonocavitation agents with high ROS production for solid tumor ablation.

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Section: Introductionmentioning

confidence: 99%

Synergistic Enzyme‐Mimetic Catalysis‐Based Non‐Thermal Sonocavitation and Sonodynamic Therapy for Efficient Hypoxia Relief and Cancer Ablation

Chen

et al. 2023

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“…In [6] ( [7], resp.) we also study the same problem in the space of distributions which grow no faster than exp(/c x p ) (exp(M(/cr)), resp.…”

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confidence: 99%

On the Solvability of Convolution Equations in Beurling's Distributions

Pahk¹,

Sohn²

1996

Publ. Res. Inst. Math. Sci.

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Let &' w be the space of Beurling's generalized distributions on E n and % w the spaces of generalized distributions which has compact support We show that, for S e % w , S * & w = & w is equivalent to the following: Every generalized distribution u e % w with S * u e S. Abdullah [1] proves that, for a generalized distribution S having compact support, the followings are equivalent; (a) There exists positive constants A, C such that sup S0r+?) > \x\< A>(io In this paper we show another property which is equivalent to the above. Before stating our main theorem we briefly introduce the space of generalized distributions of Beurling type and the related results which we need in this paper. For details we refer to [3] .We denote by M c the set of all real valued functions w on R n satisfying the following conditions; (a) 0 = w;(0) < wCf+fl) < tt>(?) + M>07), f, 7?eR" (7) w;(f) > a + b log(l+ | f |) for some constants a and b > 0.

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On the solvability of convolution equations in $K'_{M}$

Cited by 2 publications

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Synergistic Enzyme‐Mimetic Catalysis‐Based Non‐Thermal Sonocavitation and Sonodynamic Therapy for Efficient Hypoxia Relief and Cancer Ablation

Synergistic Enzyme‐Mimetic Catalysis‐Based Non‐Thermal Sonocavitation and Sonodynamic Therapy for Efficient Hypoxia Relief and Cancer Ablation

On the Solvability of Convolution Equations in Beurling's Distributions

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