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Imaging of unknown targets inside inhomogeneous backgrounds by means of qualitative inverse scattering
Vector ellipsoidal harmonics and neuronal current decomposition in the brain
1. | Department of Chemical Engineering, University of Patras, Greece, Greece |
[1] |
Jan Haskovec, Nader Masmoudi, Christian Schmeiser, Mohamed Lazhar Tayeb. The Spherical Harmonics Expansion model coupled to the Poisson equation. Kinetic and Related Models, 2011, 4 (4) : 1063-1079. doi: 10.3934/krm.2011.4.1063 |
[2] |
Shruti Agarwal, Gilles Carbou, Stéphane Labbé, Christophe Prieur. Control of a network of magnetic ellipsoidal samples. Mathematical Control and Related Fields, 2011, 1 (2) : 129-147. doi: 10.3934/mcrf.2011.1.129 |
[3] |
Ruotian Gao, Wenxun Xing. Robust sensitivity analysis for linear programming with ellipsoidal perturbation. Journal of Industrial and Management Optimization, 2020, 16 (4) : 2029-2044. doi: 10.3934/jimo.2019041 |
[4] |
Seok-Bae Yun. Entropy production for ellipsoidal BGK model of the Boltzmann equation. Kinetic and Related Models, 2016, 9 (3) : 605-619. doi: 10.3934/krm.2016009 |
[5] |
Xiangjin Xu. Sub-harmonics of first order Hamiltonian systems and their asymptotic behaviors. Discrete and Continuous Dynamical Systems - B, 2003, 3 (4) : 643-654. doi: 10.3934/dcdsb.2003.3.643 |
[6] |
Amadeu Delshams, Rodrigo G. Schaefer. Arnold diffusion for a complete family of perturbations with two independent harmonics. Discrete and Continuous Dynamical Systems, 2018, 38 (12) : 6047-6072. doi: 10.3934/dcds.2018261 |
[7] |
Annalisa Pascarella, Alberto Sorrentino, Cristina Campi, Michele Piana. Particle filtering, beamforming and multiple signal classification for the analysis of magnetoencephalography time series: a comparison of algorithms. Inverse Problems and Imaging, 2010, 4 (1) : 169-190. doi: 10.3934/ipi.2010.4.169 |
[8] |
Jakub Cupera. Diffusion approximation of neuronal models revisited. Mathematical Biosciences & Engineering, 2014, 11 (1) : 11-25. doi: 10.3934/mbe.2014.11.11 |
[9] |
Hung-Chu Hsu. Exact azimuthal internal waves with an underlying current. Discrete and Continuous Dynamical Systems, 2017, 37 (8) : 4391-4398. doi: 10.3934/dcds.2017188 |
[10] |
Sharif E. Guseynov, Eugene A. Kopytov, Edvin Puzinkevich. On continuous models of current stock of divisible productions. Conference Publications, 2011, 2011 (Special) : 601-613. doi: 10.3934/proc.2011.2011.601 |
[11] |
Amir Moradifam, Robert Lopez. Stability of current density impedance imaging II. Communications on Pure and Applied Analysis, 2021, 20 (11) : 4025-4041. doi: 10.3934/cpaa.2021142 |
[12] |
Darryl D. Holm, Ruiao Hu. Nonlinear dispersion in wave-current interactions. Journal of Geometric Mechanics, 2022 doi: 10.3934/jgm.2022004 |
[13] |
Shigeru Takata, Masanari Hattori, Takumu Miyauchi. On the entropic property of the Ellipsoidal Statistical model with the prandtl number below 2/3. Kinetic and Related Models, 2020, 13 (6) : 1163-1174. doi: 10.3934/krm.2020041 |
[14] |
Tatiana Filippova. Differential equations of ellipsoidal state estimates in nonlinear control problems under uncertainty. Conference Publications, 2011, 2011 (Special) : 410-419. doi: 10.3934/proc.2011.2011.410 |
[15] |
Andrey Olypher, Jean Vaillant. On the properties of input-to-output transformations in neuronal networks. Mathematical Biosciences & Engineering, 2016, 13 (3) : 579-596. doi: 10.3934/mbe.2016009 |
[16] |
Siwei Yu, Jianwei Ma, Stanley Osher. Geometric mode decomposition. Inverse Problems and Imaging, 2018, 12 (4) : 831-852. doi: 10.3934/ipi.2018035 |
[17] |
Stefano Bianchini, Daniela Tonon. A decomposition theorem for $BV$ functions. Communications on Pure and Applied Analysis, 2011, 10 (6) : 1549-1566. doi: 10.3934/cpaa.2011.10.1549 |
[18] |
Susanna V. Haziot. Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4415-4427. doi: 10.3934/dcds.2019179 |
[19] |
Daniele Andreucci, Dario Bellaveglia, Emilio N.M. Cirillo, Silvia Marconi. Effect of intracellular diffusion on current--voltage curves in potassium channels. Discrete and Continuous Dynamical Systems - B, 2014, 19 (7) : 1837-1853. doi: 10.3934/dcdsb.2014.19.1837 |
[20] |
Carlos Montalto, Alexandru Tamasan. Stability in conductivity imaging from partial measurements of one interior current. Inverse Problems and Imaging, 2017, 11 (2) : 339-353. doi: 10.3934/ipi.2017016 |
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