Edit Profile (opens in new tab) Somersalo, Erkki Co-Author Distance Author ID: somersalo.erkki Published as: Somersalo, Erkki; Somersalo, E.; Sommersalo, Erkki; Somersalo, E. J.; Someralo, Erkki more...less Homepage: http://math.case.edu/faculty/erkki-somersalo/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr Documents Indexed: 121 Publications since 1985, including 6 Books and 7 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 85 Co-Authors with 120 Joint Publications 1,542 Co-Co-Authors all top 5 Co-Authors 5 single-authored 69 Calvetti, Daniela 17 Kaipio, Jari P. 10 Päivärinta, Lassi 7 Cheney, Margaret 7 Lassas, Matti J. 6 Isaacson, David 6 Pitolli, Francesca 6 Vantaggi, Barbara 5 Kurylëv, Yaroslav Vadimovich 5 Vauhkonen, Marko 4 Arnold, Andrea 4 Haario, Heikki 4 Ola, Petri 4 Prezioso, Jamie 3 Bocchinfuso, Alberto 3 Capo Rangel, G. 3 Gerardo-Giorda, Luca 3 Heino, Jenni 3 Hoover, Alexander P. 3 Kolehmainen, Ville 3 Occhipinti, Rossana 3 Pascarella, Annalisa 3 Pragliola, Monica 3 Seppänen, Aku 2 Baroudi, Djebar 2 Boron, Walter F. 2 Cheng, Yougan 2 Hadwin, Paul J. 2 Hageman Blair, Rachael 2 Homa, Laura 2 Huttunen, Janne M. J. 2 Immonen, Taina 2 Isaacson, Eli L. 2 Mcgivney, Debra 2 Nakkireddy, S. 2 Ramm, Alexander G. 2 Rose, Johnie 2 Strang, Alexander 2 Tunyan, Knarik 1 Arridge, Simon R. 1 Arts, Eric J. 1 Bardsley, Johnathan M. 1 Beylkin, Gregory 1 Bingham, Kenrick 1 Burridge, Robert 1 Cabrera, Marco E. 1 Callahan, Margaret 1 Cheng, Jin 1 Cosmo, Anna 1 Curran, Jason 1 Dash, Ranjan K. 1 Duncan, S. 1 Dunlop, Matthew M. 1 Eirola, Timo 1 Ernst, Oliver G. 1 Gaburro, Romina 1 Gjedde, Albert 1 Hakula, Harri 1 Idumah, Gideon 1 Iversen, Peter 1 Järvenpää, Seppo 1 Jeltsch, Rolf 1 Johnson, Claes G. L. 1 Karjalainen, Pasi A. 1 Kuceyeski, Amy 1 Lehtinen, Markku S. 1 Leitner, Thomas 1 Liukkonen, Jukka 1 Miller, Melanie A. 1 Nakamura, Gen 1 Nolan, Clifford J. 1 Perotto, Simona 1 Pursiainen, Sampsa 1 Ruuskanen, A. R. 1 Schweiger, Martin 1 Serov, Valery S. 1 Spies, Ruben D. 1 Stenberg, Rolf 1 Stuart, Andrew M. 1 Tarvainen, Tanja 1 Vauhkonen, P. J. 1 Volzer, Joseph 1 Voutilainen, Arto 1 Waniorek, Nathan 1 Ylä-Oijala, Pasi all top 5 Serials 39 Inverse Problems 10 Journal of Theoretical Biology 6 Inverse Problems and Imaging 4 SIAM Journal on Scientific Computing 3 SIAM Journal on Applied Mathematics 3 Multiscale Modeling & Simulation 2 Journal of Mathematical Analysis and Applications 2 Mathematical Biosciences 2 Journal of Computational and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applied Mathematical Sciences 1 Journal of Electromagnetic Waves and Applications 1 Arkhimedes 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 BIT 1 Computing 1 Duke Mathematical Journal 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Advances in Applied Mathematics 1 Applied Numerical Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Communications of the Korean Mathematical Society 1 Mathematical Medicine and Biology 1 International Journal of Mathematics and Computer Science 1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes 1 Bericht. Universität Jyväskylä. Mathematisches Institut 1 Lecture Notes in Physics 1 Surveys and Tutorials in the Applied Mathematical Sciences 1 Mathematical Modeling and Computation 1 SIAM Journal on Imaging Sciences 1 SIAM/ASA Journal on Uncertainty Quantification 1 Other Titles in Applied Mathematics 1 Data Sci. Book Ser. all top 5 Fields 54 Numerical analysis (65-XX) 53 Partial differential equations (35-XX) 40 Biology and other natural sciences (92-XX) 39 Statistics (62-XX) 27 Optics, electromagnetic theory (78-XX) 7 Systems theory; control (93-XX) 6 Fluid mechanics (76-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,882 times in 1,145 Documents Cited by ▼ Year ▼ Statistical and computational inverse problems. Zbl 1068.65022 Kaipio, Jari; Somersalo, Erkki 477 2005 Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055 Somersalo, Erkki; Cheney, Margaret; Isaacson, David 147 1992 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010 Calvetti, Daniela; Somersalo, Erkki 94 2007 Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008 Kaipio, Jari; Somersalo, Erkki 87 2007 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513 Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko 77 2000 Nonstationary inverse problems and state estimation. Zbl 0927.35134 Kaipio, J.; Somersalo, E. 77 1999 On the existence and convergence of the solution of PML equations. Zbl 0899.35026 Lassas, M.; Somersalo, E. 63 1998 An inverse boundary value problem in electrodynamics. Zbl 0804.35152 Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki 57 1993 Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042 Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M. 54 2006 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062 Calvetti, Daniela; Somersalo, Erkki 43 2008 Inverse problems with structural prior information. Zbl 0949.65144 Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E. 39 1999 Analysis of the PML equations in general convex geometry. Zbl 1200.35013 Lassas, Matti; Somersalo, Erkki 37 2001 Linear inverse problems for generalised random variables. Zbl 0681.60015 Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki 35 1989 A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128 Somersalo, Erkki; Isaacson, David; Cheney, Margaret 33 1992 Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138 Ola, Petri; Somersalo, Erkki 31 1996 A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076 Päivärinta, L.; Somersalo, E. 25 1988 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078 Calvetti, D.; Somersalo, E.; Strang, A. 24 2019 Priorconditioners for linear systems. Zbl 1087.65044 Calvetti, Daniela; Somersalo, Erkki 23 2005 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107 Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 22 2009 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018 Calvetti, Daniela; Somersalo, Erkki 21 2007 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056 Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 18 2018 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 18 2020 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 17 2015 Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122 Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli 16 1991 State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134 Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P. 15 2001 Aristotelian prior boundary conditions. Zbl 1095.94005 Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095 Päivärinta, Lassi; Somersalo, Erkki 15 1991 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 14 2018 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 14 2020 Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107 Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 13 2006 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 13 2013 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023 Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 12 2010 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 12 2014 Electrical impedance tomography with basis constraints. Zbl 0872.35130 Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A. 11 1997 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271 Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 11 2014 Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141 Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki 11 2001 Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149 Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki 10 1994 Inverse problems in the Bayesian framework. Zbl 1305.00104 10 2014 Uniqueness of identifying the convection term. Zbl 1101.35398 Cheng, Jin; Nakamura, Gen; Somersalo, Erkki 9 2001 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133 Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 9 2012 Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079 Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H. 8 2004 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738 Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 7 2008 Estimation of optical absorption in anisotropic background. Zbl 1003.35124 Heino, Jenni; Somersalo, Erkki 7 2002 Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034 Somersalo, E.; Voutilainen, A.; Kaipio, J. P. 6 2003 Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162 Sommersalo, Erkki 6 1994 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020 Calvetti, Daniela; Somersalo, Erkki 6 2006 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027 Calvetti, Daniela; Somersalo, Erkki 6 2011 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 6 2015 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017 Calvetti, Daniela; Somersalo, Erkki 5 2005 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 5 2015 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035 Calvetti, Daniela; Somersalo, Erkki 5 2013 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276 Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 5 2018 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024 Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027 Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705 Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E. 4 2021 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315 Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Inverse problems for time harmonic electrodynamics. Zbl 1129.78307 Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki 3 2003 Using process tomography as a sensor for optimal control. Zbl 1083.65061 Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P. 3 2006 Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103 Ramm, Alexander G.; Somersalo, Erkki 3 1989 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129 Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248 Calvetti, D.; Nakkireddy, S.; Somersalo, E. 3 2020 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006 Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 3 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047 Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 3 2019 Bayesian mixture models for source separation in MEG. Zbl 1234.92042 Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 2 2011 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106 Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171 Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki 2 2003 Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174 Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 2 2004 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 Bayesian mesh adaptation for estimating distributed parameters. Zbl 1459.65217 Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki 2 2020 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112 Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 2 2012 Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134 Pragliola, Monica; Calvetti, Daniela; Somersalo, Erkki 2 2022 Bayesian scientific computing. Zbl 07672371 Calvetti, Daniela; Somersalo, Erkki 2 2023 The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066 Päivärinta, Lassi; Somersalo, Erkki 1 1987 One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005 Somersalo, Erkki 1 1989 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104 Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 Microlocal sequential regularization in imaging. Zbl 1141.94305 Calvetti, Daniela; Somersalo, Erkki 1 2007 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009 Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 Dynamical electric wire tomography: a time series approach. Zbl 0908.35138 Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki 1 1998 The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134 Haario, Heikki; Somersalo, Erkki 1 1987 Impedance imaging and electrode models. Zbl 0880.65111 Järvenpää, Seppo; Somersalo, Erkki 1 1997 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047 Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Statistical methods in imaging. 2nd edition. Zbl 1331.62322 Calvetti, Daniela; Somersalo, Erkki 1 2015 Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. Zbl 1338.65008 Somersalo, Erkki; Calvetti, Daniela; Arnold, Andrea 1 2015 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045 Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130 Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 Computational model of electrode-induced microenvironmental effects on ph measurements near a cell membrane. Zbl 1446.35217 Calvetti, Daniela; Prezioso, Jamie; Occhipinti, Rossana; Boron, Walter F.; Somersalo, Erkki 1 2020 Statistical methods in imaging. Zbl 1259.62057 Calvetti, Daniela; Somersalo, Erkki 1 2011 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001 Calvetti, Daniela; Somersalo, Erkki 1 2021 Bayesian scientific computing. Zbl 07672371 Calvetti, Daniela; Somersalo, Erkki 2 2023 Overcomplete representation in a hierarchical Bayesian framework. Zbl 1493.62134 Pragliola, Monica; Calvetti, Daniela; Somersalo, Erkki 2 2022 Bayesian particle filter algorithm for learning epidemic dynamics. Zbl 07765705 Calvetti, D.; Hoover, A.; Rose, J.; Somersalo, E. 4 2021 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001 Calvetti, Daniela; Somersalo, Erkki 1 2021 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 18 2020 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422 Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 14 2020 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248 Calvetti, D.; Nakkireddy, S.; Somersalo, E. 3 2020 Bayesian mesh adaptation for estimating distributed parameters. Zbl 1459.65217 Calvetti, Daniela; Cosmo, Anna; Perotto, Simona; Somersalo, Erkki 2 2020 Computational model of electrode-induced microenvironmental effects on ph measurements near a cell membrane. Zbl 1446.35217 Calvetti, Daniela; Prezioso, Jamie; Occhipinti, Rossana; Boron, Walter F.; Somersalo, Erkki 1 2020 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078 Calvetti, D.; Somersalo, E.; Strang, A. 24 2019 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006 Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 3 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047 Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 3 2019 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130 Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056 Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 18 2018 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047 Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 14 2018 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276 Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 5 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046 Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 5 2017 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346 Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 17 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 6 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114 Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015 Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 5 2015 Statistical methods in imaging. 2nd edition. Zbl 1331.62322 Calvetti, Daniela; Somersalo, Erkki 1 2015 Vectorized and parallel particle filter SMC parameter estimation for stiff ODEs. Zbl 1338.65008 Somersalo, Erkki; Calvetti, Daniela; Arnold, Andrea 1 2015 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045 Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 12 2014 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271 Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 11 2014 Inverse problems in the Bayesian framework. Zbl 1305.00104 10 2014 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047 Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089 Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 13 2013 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035 Calvetti, Daniela; Somersalo, Erkki 5 2013 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315 Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133 Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 9 2012 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129 Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112 Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 2 2012 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027 Calvetti, Daniela; Somersalo, Erkki 6 2011 Bayesian mixture models for source separation in MEG. Zbl 1234.92042 Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 2 2011 Statistical methods in imaging. Zbl 1259.62057 Calvetti, Daniela; Somersalo, Erkki 1 2011 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023 Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 12 2010 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107 Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 22 2009 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062 Calvetti, Daniela; Somersalo, Erkki 43 2008 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738 Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 7 2008 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009 Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010 Calvetti, Daniela; Somersalo, Erkki 94 2007 Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008 Kaipio, Jari; Somersalo, Erkki 87 2007 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018 Calvetti, Daniela; Somersalo, Erkki 21 2007 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024 Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Microlocal sequential regularization in imaging. Zbl 1141.94305 Calvetti, Daniela; Somersalo, Erkki 1 2007 Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042 Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M. 54 2006 Aristotelian prior boundary conditions. Zbl 1095.94005 Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107 Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 13 2006 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020 Calvetti, Daniela; Somersalo, Erkki 6 2006 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027 Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 Using process tomography as a sensor for optimal control. Zbl 1083.65061 Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P. 3 2006 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106 Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 Statistical and computational inverse problems. Zbl 1068.65022 Kaipio, Jari; Somersalo, Erkki 477 2005 Priorconditioners for linear systems. Zbl 1087.65044 Calvetti, Daniela; Somersalo, Erkki 23 2005 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017 Calvetti, Daniela; Somersalo, Erkki 5 2005 Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079 Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H. 8 2004 Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174 Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 2 2004 Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034 Somersalo, E.; Voutilainen, A.; Kaipio, J. P. 6 2003 Inverse problems for time harmonic electrodynamics. Zbl 1129.78307 Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki 3 2003 Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171 Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki 2 2003 Estimation of optical absorption in anisotropic background. Zbl 1003.35124 Heino, Jenni; Somersalo, Erkki 7 2002 Analysis of the PML equations in general convex geometry. Zbl 1200.35013 Lassas, Matti; Somersalo, Erkki 37 2001 State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134 Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P. 15 2001 Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141 Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki 11 2001 Uniqueness of identifying the convection term. Zbl 1101.35398 Cheng, Jin; Nakamura, Gen; Somersalo, Erkki 9 2001 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513 Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko 77 2000 Nonstationary inverse problems and state estimation. Zbl 0927.35134 Kaipio, J.; Somersalo, E. 77 1999 Inverse problems with structural prior information. Zbl 0949.65144 Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E. 39 1999 On the existence and convergence of the solution of PML equations. Zbl 0899.35026 Lassas, M.; Somersalo, E. 63 1998 Dynamical electric wire tomography: a time series approach. Zbl 0908.35138 Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki 1 1998 Electrical impedance tomography with basis constraints. Zbl 0872.35130 Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A. 11 1997 Impedance imaging and electrode models. Zbl 0880.65111 Järvenpää, Seppo; Somersalo, Erkki 1 1997 Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138 Ola, Petri; Somersalo, Erkki 31 1996 Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149 Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki 10 1994 Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162 Sommersalo, Erkki 6 1994 An inverse boundary value problem in electrodynamics. Zbl 0804.35152 Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki 57 1993 Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055 Somersalo, Erkki; Cheney, Margaret; Isaacson, David 147 1992 A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128 Somersalo, Erkki; Isaacson, David; Cheney, Margaret 33 1992 Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122 Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli 16 1991 Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095 Päivärinta, Lassi; Somersalo, Erkki 15 1991 Linear inverse problems for generalised random variables. Zbl 0681.60015 Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki 35 1989 Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103 Ramm, Alexander G.; Somersalo, Erkki 3 1989 One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005 Somersalo, Erkki 1 1989 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104 Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076 Päivärinta, L.; Somersalo, E. 25 1988 The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066 Päivärinta, Lassi; Somersalo, Erkki 1 1987 The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134 Haario, Heikki; Somersalo, Erkki 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,875 Authors 40 Somersalo, Erkki 34 Calvetti, Daniela 32 Stuart, Andrew M. 29 Hyvönen, Nuutti 29 Kaipio, Jari P. 20 Lassas, Matti J. 18 Marzouk, Youssef M. 17 Kolehmainen, Ville 16 Jin, Bangti 16 Uhlmann, Gunther Alberto 14 Li, Peijun 13 Arridge, Simon R. 13 Soize, Christian 12 Bardsley, Johnathan M. 11 Seppänen, Aku 10 Helin, Tapio 10 Huttunen, Janne M. J. 10 Li, Jinglai 10 Vauhkonen, Marko 10 Yan, Liang 9 Iglesias, Marco A. 9 Kurylëv, Yaroslav Vadimovich 9 Pereyra, Marcelo 9 Pitolli, Francesca 9 Siltanen, Samuli 8 Bao, Gang 8 Cui, Tiangang 8 Girolami, Mark A. 8 Hauptmann, Andreas S. 8 Lionheart, William Robert Breckon 8 Maass, Peter 8 Petra, Noemi 8 Tarvainen, Tanja 7 Ammari, Habib 7 Arnold, Andrea 7 Burger, Martin 7 Chung, Julianne M. 7 Dong, Yiqiu 7 Dunlop, Matthew M. 7 Garde, Henrik 7 Ghattas, Omar N. 7 Hansen, Per Christian 7 Harrach, Bastian 7 Liu, Hongyu 7 Salo, Mikko 7 Sanz-Alonso, Daniel 7 Staboulis, Stratos 7 Sun, Jiguang 7 Tempone, Raúl F. 7 Wu, Haijun 6 Alsaker, Melody 6 Bissantz, Nicolai 6 Bui-Thanh, Tan 6 Chung, Matthias 6 Dette, Holger 6 Glatt-Holtz, Nathan E. 6 Hosseini, Bamdad 6 Khan, Taufiquar 6 Law, Kody J. H. 6 Mueller, Jennifer L. 6 Mustonen, Lauri 6 Nakamura, Gen 6 Ola, Petri 6 Orlande, Helcio Rangel Barreto 6 Päivärinta, Lassi 6 Pasciak, Joseph E. 6 Pragliola, Monica 6 Roininen, Lassi 6 Saibaba, Arvind Krishna 6 Serov, Valery S. 5 Abdulle, Assyr 5 Barceló, Juan Antonio 5 Capistrán, Marcos A. 5 Castello, Daniel Alves 5 Cheng, Jin 5 Christen, J. Andrés 5 de Hoop, Maarten V. 5 Deng, Zhiliang 5 Du, Yu 5 Durmus, Alain 5 Fox, Colin D. 5 Gelb, Anne 5 Greenleaf, Allan 5 Jia, Junxiong 5 Jiang, Yu 5 Knudsen, Kim M. 5 Krometis, Justin A. 5 Lai, Ru-Yu 5 Li, Zhaoxing 5 Lu, Shuai 5 Nannen, Lothar 5 Nicholson, Ruanui 5 Oden, John Tinsley 5 Prudhomme, Serge 5 Ruthotto, Lars 5 Sabelfeld, Karl Karlovich 5 Santacesaria, Matteo 5 Schillings, Claudia 5 Stadler, Georg 5 Sullivan, Tim ...and 1,775 more Authors all top 5 Cited in 223 Serials 125 Inverse Problems 70 Journal of Computational Physics 58 Inverse Problems and Imaging 53 SIAM/ASA Journal on Uncertainty Quantification 45 Inverse Problems in Science and Engineering 44 SIAM Journal on Scientific Computing 38 Computer Methods in Applied Mechanics and Engineering 30 SIAM Journal on Imaging Sciences 22 Journal of Computational and Applied Mathematics 21 SIAM Journal on Applied Mathematics 16 Journal of Inverse and Ill-Posed Problems 15 International Journal for Numerical Methods in Engineering 14 Statistics and Computing 13 Computers & Mathematics with Applications 13 Mathematics of Computation 13 SIAM Journal on Numerical Analysis 12 Journal of Mathematical Analysis and Applications 12 Numerische Mathematik 12 SIAM Journal on Mathematical Analysis 12 Journal of Theoretical Biology 11 Journal of Scientific Computing 10 Applicable Analysis 10 Applied Numerical Mathematics 10 Journal of Mathematical Imaging and Vision 9 Journal of Differential Equations 9 Communications in Computational Physics 7 Communications in Mathematical Physics 7 Journal of Mathematical Physics 7 Mathematical Biosciences 7 Bulletin of Mathematical Biology 7 Communications in Partial Differential Equations 7 SIAM Review 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematical Modelling 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Problems in Engineering 6 Multiscale Modeling & Simulation 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 The Annals of Applied Statistics 5 Scandinavian Journal of Statistics 5 Applied Mathematics and Computation 5 BIT 5 Journal of Functional Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 International Journal of Computer Mathematics 5 Computational Statistics and Data Analysis 5 Engineering Analysis with Boundary Elements 5 Computational Geosciences 5 Archives of Computational Methods in Engineering 4 Archive for Rational Mechanics and Analysis 4 Journal of Mathematical Biology 4 Journal of Statistical Physics 4 Mathematische Annalen 4 Mathematics and Computers in Simulation 4 COMPEL 4 Advances in Computational Mathematics 4 Journal of Machine Learning Research (JMLR) 4 Acta Numerica 4 Mathematical Biosciences and Engineering 3 Computer Physics Communications 3 Duke Mathematical Journal 3 Computational Mechanics 3 The Journal of Geometric Analysis 3 Numerical Algorithms 3 Computational Statistics 3 Computational Mathematics and Mathematical Physics 3 The Journal of Fourier Analysis and Applications 3 Journal of Applied Statistics 3 SIAM Journal on Applied Dynamical Systems 3 Computational & Mathematical Methods in Medicine 3 Electronic Journal of Statistics 3 GEM - International Journal on Geomathematics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Computers and Fluids 2 International Journal of Engineering Science 2 International Journal of Heat and Mass Transfer 2 Journal of Engineering Mathematics 2 Wave Motion 2 Advances in Mathematics 2 Annals of the Institute of Statistical Mathematics 2 The Annals of Statistics 2 Collectanea Mathematica 2 Journal of the American Statistical Association 2 Journal of Multivariate Analysis 2 Meccanica 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Statistical Science 2 Applied Mathematics Letters 2 Journal of Integral Equations and Applications 2 The Annals of Applied Probability 2 Test 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis ...and 123 more Serials all top 5 Cited in 47 Fields 634 Numerical analysis (65-XX) 460 Partial differential equations (35-XX) 383 Statistics (62-XX) 207 Optics, electromagnetic theory (78-XX) 180 Biology and other natural sciences (92-XX) 104 Probability theory and stochastic processes (60-XX) 86 Computer science (68-XX) 84 Information and communication theory, circuits (94-XX) 79 Mechanics of deformable solids (74-XX) 67 Fluid mechanics (76-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 46 Operator theory (47-XX) 41 Geophysics (86-XX) 38 Operations research, mathematical programming (90-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 33 Systems theory; control (93-XX) 22 Functional analysis (46-XX) 20 Ordinary differential equations (34-XX) 19 Integral equations (45-XX) 19 Classical thermodynamics, heat transfer (80-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Approximations and expansions (41-XX) 11 Integral transforms, operational calculus (44-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Potential theory (31-XX) 5 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Mechanics of particles and systems (70-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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