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- ItemToward a Tailored Acoustic-Based Approach in Music Neuromodulation in Epilepsy(Wiley, 2025-07-05) Strýček, Ondřej; Mekyska, Jiří; Miklánek, Štěpán; Fusek, Michal; Štillová, Klára; Mazánek, Martin; Rektor, IvanBackground Music-based neuromodulation has garnered interest as a potential therapeutic approach for drug-resistant epilepsy. This study expands on prior research by examining the effects of different musical features on interictal epileptiform discharges (IEDs) within intracerebral EEG (iEEG). Methods Twenty-five patients with drug-resistant epilepsy undergoing presurgical iEEG evaluation participated in the study. Over 2days, patients listened to various musical compositions characterized by distinct acoustic properties. EEG measurements were recorded before and after each listening session to evaluate IED changes. Results The study identified individualized patterns in IED reduction, with certain acoustic properties showing consistent effects across musical genres. Mozart's “Piano Concerto No. 27” K 595c globally reduced IEDs by 28% while listening to music (p=0.0191) and 19% in the postmusic resting state (p=0.0111); relaxation music increased IEDs by 55% (p=0.0197). Based on the acoustic analysis of individuals, we identified compositions that significantly reduced IEDs, with reductions ranging from 32% to 44% (p=0.0001). In contrast, compositions with differing acoustic properties did not result in significant changes in IEDs. These results suggest that specific acoustic properties, rather than genre, primarily influence IEDs. Conclusions The findings suggest that specific acoustic properties can influence brain activity in a reproducible manner at the individual level, modulating IEDs based on personalized testing and selection across a spectrum of musical genres. These results suggest the potential for music-based neuromodulation as a personalized therapeutic approach in epilepsy management, emphasizing the importance of acoustic features over musical genre. Further research is needed to explore individual aspects of music-based interventions.
- ItemNormalized solutions for quasilinear (p, q)-equations(Springer Nature, 2025-07-04) Cai, Li; Radulescu, VicentiuIn this paper, we study the following quasilinear (p, q)-equation (Formula presented.) with prescribed mass (Formula presented.) where c>0, 0, 2p
- ItemAnisotropic Double Phase Elliptic Inclusion Systems with Logarithmic Perturbation and Multivalued Convections(Springer Nature, 2025-06-24) Zeng, Shengda; Lu, Yasi; Radulescu, VicentiuIn this paper, we investigate a class of variable exponent double phase elliptic inclusion systems involving anisotropic partial differential operators with logarithmic perturbation as well as two fully coupled multivalued terms, one of them is defined in the domain and the other is defined on the boundary, respectively. Firstly, under the suitable coercive conditions, the existence of a weak solution for the double phase elliptic inclusion systems is verified via applying a surjectivity theorem concerning multivalued pseudomonotone operators. Then, when the elliptic inclusion system is considered in non-coercive framework, we employ the sub-supersolution method to establish the existence and compactness results. Finally, we deliver several solvability properties of some special cases with respect to the elliptic inclusion system under consideration via constructing proper sub- and super-solutions.
- ItemEigenvalue problems with unbalanced growth(Elsevier, 2025-07-01) Chorfi, Nejmeddine; Papageorgiou, Nikolaos S.; Radulescu, VicentiuWe consider a nonlinear eigenvalue problem driven by the nonautonomous (p, q)-Laplacian with unbalanced growth. Using suitable Rayleigh quotients and variational tools, we show that the problem has a continuous spectrum which is an upper half line and we also show a nonexistence result for a lower half line.
- ItemSome useful tools in the study of nonlinear elliptic problems(Elsevier, 2024-12-05) Papageorgiou, Nikolaos S.; Radulescu, VicentiuThis paper gives an overview of some basic aspects concerning the qualitative analysis of nonlinear, nonhomogeneous elliptic problems. We are concerned with two classes of elliptic equations with Dirichlet boundary condition. The first problem is driven by a general nonhomogeneous differential operator, which includes several usual operators (such as the (p,q)-Laplace operator introduced by P. Marcellini). Next, we focus on differential operators with unbalanced growth in the nonautonomous case. Our analysis will point out some relevant differences between balanced and unbalanced growth problems. The presentation is done in the context of Dirichlet problems but a similar analysis can be developed for other boundary conditions, such as Neumann or Robin.