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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] 
Shruti Agarwal, Gilles Carbou, Stéphane Labbé, Christophe Prieur. Control of a network of magnetic ellipsoidal samples. Mathematical Control and Related Fields, 2011, 1 (2) : 129147. doi: 10.3934/mcrf.2011.1.129 
[2] 
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) : 10631079. doi: 10.3934/krm.2011.4.1063 
[3] 
Ruotian Gao, Wenxun Xing. Robust sensitivity analysis for linear programming with ellipsoidal perturbation. Journal of Industrial and Management Optimization, 2020, 16 (4) : 20292044. doi: 10.3934/jimo.2019041 
[4] 
SeokBae Yun. Entropy production for ellipsoidal BGK model of the Boltzmann equation. Kinetic and Related Models, 2016, 9 (3) : 605619. doi: 10.3934/krm.2016009 
[5] 
Xiangjin Xu. Subharmonics of first order Hamiltonian systems and their asymptotic behaviors. Discrete and Continuous Dynamical Systems  B, 2003, 3 (4) : 643654. 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) : 60476072. 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) : 169190. doi: 10.3934/ipi.2010.4.169 
[8] 
Jakub Cupera. Diffusion approximation of neuronal models revisited. Mathematical Biosciences & Engineering, 2014, 11 (1) : 1125. doi: 10.3934/mbe.2014.11.11 
[9] 
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) : 11631174. doi: 10.3934/krm.2020041 
[10] 
Tatiana Filippova. Differential equations of ellipsoidal state estimates in nonlinear control problems under uncertainty. Conference Publications, 2011, 2011 (Special) : 410419. doi: 10.3934/proc.2011.2011.410 
[11] 
HungChu Hsu. Exact azimuthal internal waves with an underlying current. Discrete and Continuous Dynamical Systems, 2017, 37 (8) : 43914398. doi: 10.3934/dcds.2017188 
[12] 
Sharif E. Guseynov, Eugene A. Kopytov, Edvin Puzinkevich. On continuous models of current stock of divisible productions. Conference Publications, 2011, 2011 (Special) : 601613. doi: 10.3934/proc.2011.2011.601 
[13] 
Amir Moradifam, Robert Lopez. Stability of current density impedance imaging II. Communications on Pure and Applied Analysis, 2021, 20 (11) : 40254041. doi: 10.3934/cpaa.2021142 
[14] 
Darryl D. Holm, Ruiao Hu. Nonlinear dispersion in wavecurrent interactions. Journal of Geometric Mechanics, 2022 doi: 10.3934/jgm.2022004 
[15] 
Andrey Olypher, Jean Vaillant. On the properties of inputtooutput transformations in neuronal networks. Mathematical Biosciences & Engineering, 2016, 13 (3) : 579596. doi: 10.3934/mbe.2016009 
[16] 
Siwei Yu, Jianwei Ma, Stanley Osher. Geometric mode decomposition. Inverse Problems and Imaging, 2018, 12 (4) : 831852. 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) : 15491566. 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) : 44154427. doi: 10.3934/dcds.2019179 
[19] 
Daniele Andreucci, Dario Bellaveglia, Emilio N.M. Cirillo, Silvia Marconi. Effect of intracellular diffusion on currentvoltage curves in potassium channels. Discrete and Continuous Dynamical Systems  B, 2014, 19 (7) : 18371853. 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) : 339353. doi: 10.3934/ipi.2017016 
2020 Impact Factor: 1.639
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