{ "types" : { "Bookmark" : { "pluralLabel" : "Bookmarks" }, "Publication" : { "pluralLabel" : "Publications" }, "GoldStandardPublication" : { "pluralLabel" : "GoldStandardPublications" }, "GoldStandardBookmark" : { "pluralLabel" : "GoldStandardBookmarks" }, "Tag" : { "pluralLabel" : "Tags" }, "User" : { "pluralLabel" : "Users" }, "Group" : { "pluralLabel" : "Groups" }, "Sphere" : { "pluralLabel" : "Spheres" } }, "properties" : { "count" : { "valueType" : "number" }, "date" : { "valueType" : "date" }, "changeDate" : { "valueType" : "date" }, "url" : { "valueType" : "url" }, "id" : { "valueType" : "url" }, "tags" : { "valueType" : "item" }, "user" : { "valueType" : "item" } }, "items" : [ { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/21c85bdf11cbecb538cd5edf98a8597dd/inspo5", "tags" : [ "Biomechanics","Nonlinear","Animal","dynamics","Bioenergetics","behaviour" ], "intraHash" : "1c85bdf11cbecb538cd5edf98a8597dd", "interHash" : "043bc2c5e9b044a62a58167156c7fcb0", "label" : "Cross-bridge mechanics estimated from skeletal muscles' work-loop responses to impacts in legged locomotion", "user" : "inspo5", "description" : "", "date" : "2022-07-19 11:10:29", "changeDate" : "2022-07-19 09:10:56", "count" : 2, "pub-type": "article", "journal": "Scientific Reports", "year": "2021", "url": "https://doi.org/10.1038/s41598-021-02819-6", "author": [ "Kasper B. Christensen","Michael Günther","Syn Schmitt","Tobias Siebert" ], "authors": [ {"first" : "Kasper B.", "last" : "Christensen"}, {"first" : "Michael", "last" : "Günther"}, {"first" : "Syn", "last" : "Schmitt"}, {"first" : "Tobias", "last" : "Siebert"} ], "editor": [ "Tobias Siebert" ], "editors": [ {"first" : "Tobias", "last" : "Siebert"} ], "volume": "11","number": "1","pages": "23638","abstract": "Legged locomotion has evolved as the most common form of terrestrial locomotion. When the leg makes contact with a solid surface, muscles absorb some of the shock-wave accelerations (impacts) that propagate through the body. We built a custom-made frame to which we fixated a rat (Rattus norvegicus, Wistar) muscle (m. gastrocnemius medialis and lateralis: GAS) for emulating an impact. We found that the fibre material of the muscle dissipates between 3.5 and \\$\\$23\\backslash,\\backslashupmu \\backslashhbox \\J\\\\$\\$ranging from fresh, fully active to passive muscle material, respectively. Accordingly, the corresponding dissipated energy in a half-sarcomere ranges between 10.4 and \\$\\$68\\backslash,z\\backslashhbox \\J\\\\$\\$, respectively. At maximum activity, a single cross-bridge would, thus, dissipate 0.6\\% of the mechanical work available per ATP split per impact, and up to 16\\% energy in common, submaximal, activities. We also found the cross-bridge stiffness as low as \\$\\$2.2\\backslash,\\backslashhbox \\pN\\\\backslash,\\backslashhbox \\nm\\^\\-1\\\\$\\$, which can be explained by the Coulomb-actuating cross-bridge part dominating the sarcomere stiffness. Results of the study provide a deeper understanding of contractile dynamics during early ground contact in bouncy gait.", "issn" : "2045-2322", "doi" : "10.1038/s41598-021-02819-6", "bibtexKey": "Christensen2021" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/200b1431e5f9dcdaa289e80dcdb65278b/elkepeter", "tags" : [ "equations","iadm","hyperbolic","wirth","nonlinear" ], "intraHash" : "00b1431e5f9dcdaa289e80dcdb65278b", "interHash" : "3a7ff48e6f6c1a9d1251a9fb5bb71153", "label" : "About the solvability behaviour for special classes of nonlinear hyperbolic equations.", "user" : "elkepeter", "description" : "", "date" : "2021-10-21 07:36:38", "changeDate" : "2021-10-21 05:36:38", "count" : 4, "pub-type": "article", "journal": "Nonlinear Anal.", "year": "2003", "url": "https://doi.org/10.1016/S0362-546X(02)00096-2", "author": [ "Jens Wirth" ], "authors": [ {"first" : "Jens", "last" : "Wirth"} ], "volume": "52","number": "2","pages": "421--431", "mrclass" : "35L70 (35A22 35L15)", "mrreviewer" : "Nickolai A. Larkin", "fjournal" : "Nonlinear Analysis. Theory, Methods & Applications. An\r\n International Multidisciplinary Journal", "mrnumber" : "1937630", "issn" : "0362-546X", "doi" : "10.1016/S0362-546X(02)00096-2", "bibtexKey": "MR1937630" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/285c6e9c824d74fdf0e755bbb5047f46b/ist_bib", "tags" : [ "without","predictive","control","terminal","constraints,","constrained","systems,","nonlinear","stochastic","control,","model","MPC" ], "intraHash" : "85c6e9c824d74fdf0e755bbb5047f46b", "interHash" : "4a17018254c269847067be31fd3a6270", "label" : "Stochastic Model Predictive Control without Terminal Constraints", "user" : "ist_bib", "description" : "", "date" : "2021-05-18 15:30:24", "changeDate" : "2021-05-18 13:32:10", "count" : 3, "pub-type": "article", "journal": "Int. J. Robust and Nonlinear Control", "year": "2017", "url": "", "author": [ "Matthias Lorenzen","Matthias A. Müller","Frank Allgöwer" ], "authors": [ {"first" : "Matthias", "last" : "Lorenzen"}, {"first" : "Matthias A.", "last" : "Müller"}, {"first" : "Frank", "last" : "Allgöwer"} ], "doi" : "10.1002/rnc.3912", "bibtexKey": "ist:lorenzen17e" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2769be1510640e0e78e217c26c4dffbb5/mhartmann", "tags" : [ "Nonlinear","domain,","Brinkman","boundary","problem,","Layer","76M","Lipschitz","42B20,","Stokes","46E35,","35J25,","and","value","vorlaeufig","potential","operators,","76D," ], "intraHash" : "769be1510640e0e78e217c26c4dffbb5", "interHash" : "d6d8c49bb72357b5a9ac7fe494eb266e", "label" : "Nonlinear Neumann-Transmission Problems for Stokes and Brinkman Equations\n\ton Euclidean Lipschitz Domains", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 2, "pub-type": "article", "journal": "Potential Analysis", "year": "2013", "url": "http://dx.doi.org/10.1007/s11118-012-9310-0", "author": [ "Mirela Kohr","Massimo Lanza de Cristoforis","Wolfgang L. Wendland" ], "authors": [ {"first" : "Mirela", "last" : "Kohr"}, {"first" : "Massimo", "last" : "Lanza de Cristoforis"}, {"first" : "Wolfgang L.", "last" : "Wendland"} ], "volume": "38","pages": "1123-1171", "issn" : "0926-2601", "language" : "English", "doi" : "10.1007/s.11118-012-9310-0", "bibtexKey": "kohr2013nonlinear" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2c9ff784e6a0440b80b45055fa2c9df7e/mhartmann", "tags" : [ "subspace","error","dynamical","kernel","a-posteriori","methods,","systems,","nonlinear","offline/online","decomposition,","parameterized","projection","estimates,","model","vorlaeufig","reduction," ], "intraHash" : "c9ff784e6a0440b80b45055fa2c9df7e", "interHash" : "e6dce191069323c30bda8a87cce2913a", "label" : "A-posteriori error estimation for parameterized kernel-based systems", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 8, "pub-type": "inproceedings", "booktitle": "Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical\n\tModelling", "year": "2012", "url": "http://www.ifac-papersonline.net/", "author": [ "Daniel Wirtz","Bernard Haasdonk" ], "authors": [ {"first" : "Daniel", "last" : "Wirtz"}, {"first" : "Bernard", "last" : "Haasdonk"} ], "abstract": "This work is concerned with derivation of fully offine/online decomposable\n\teffcient aposteriori error estimators for reduced parameterized nonlinear\n\tkernel-based systems. The dynamical systems under consideration consist\n\tof a nonlinear, time- and parameter-dependent kernel expansion representing\n\tthe system's inner dynamics as well as time- and parameter-affne\n\tinputs, initial conditions and outputs. The estimators are established\n\tfor a reduction technique originally proposed in [7] and are an extension\n\tof the estimators derived in [11] to the fully time-dependent, parameterized\n\tsetting. Key features for the effcient error estimation are to use\n\tlocal Lipschitz constants provided by a certain class of kernels\n\tand an iterative scheme to balance computation cost against estimation\n\tsharpness. Together with the affnely time/parameter-dependent system\n\tcomponents a full offine/online decomposition for both the reduction\n\tprocess and the error estimators is possible. Some experimental results\n\tfor synthetic systems illustrate the effcient evaluation of the derived\n\terror estimators for different parameters.", "owner" : "haasdonk", "bibtexKey": "wirtz2012aposteriori" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/21c60244a38629fa9b5fa4af44f264fb7/mhartmann", "tags" : [ "Finite","Nonlinear","volume","Galerkin;","stochastic","Stochastic","vorlaeufig","method;","Hybrid" ], "intraHash" : "1c60244a38629fa9b5fa4af44f264fb7", "interHash" : "72587baef0ace21a63abc2e653f9c3c3", "label" : "A stochastically and spatially adaptive parallel scheme for uncertain\n\tand nonlinear two-phase flow problems", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 1, "pub-type": "article", "journal": "Comput. Geosci.","publisher":"Springer International Publishing", "year": "2015", "url": "http://dx.doi.org/10.1007/s10596-014-9464-5", "author": [ "Ilja Kr�ker","Wolfgang Nowak","Christian Rohde" ], "authors": [ {"first" : "Ilja", "last" : "Kr�ker"}, {"first" : "Wolfgang", "last" : "Nowak"}, {"first" : "Christian", "last" : "Rohde"} ], "volume": "19","number": "2","pages": "269--284", "issn" : "1420-0597", "owner" : "seusdd", "language" : "English", "doi" : "10.1007/s10596-014-9464-5", "bibtexKey": "kroker2015stochastically" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2699c9caf6155e0598d9c980105b8118d/mhartmann", "tags" : [ "subspace","error","dynamical","kernel","a-posteriori","methods,","systems,","nonlinear","offline/online","decomposition,","projection","estimates,","model","vorlaeufig","reduction," ], "intraHash" : "699c9caf6155e0598d9c980105b8118d", "interHash" : "e80ae72fe2c1f9f79f4f7f8f5ce00735", "label" : "Efficient a-posteriori error estimation for nonlinear kernel-based\n\treduced systems", "user" : "mhartmann", "description" : "", "date" : "2018-07-20 10:54:15", "changeDate" : "2018-07-20 08:54:15", "count" : 11, "pub-type": "article", "journal": "Systems and Control Letters", "year": "2012", "url": "http://www.sciencedirect.com/science/article/pii/S0167691111002672", "author": [ "D. Wirtz","B. Haasdonk" ], "authors": [ {"first" : "D.", "last" : "Wirtz"}, {"first" : "B.", "last" : "Haasdonk"} ], "volume": "61","number": "1","pages": "203 - 211","abstract": "In this paper, we consider the topic of model reduction for nonlinear\n\tdynamical systems based on kernel expansions. Our approach allows\n\tfor a full offline/online decomposition and efficient online computation\n\tof the reduced model. In particular, we derive an a-posteriori state-space\n\terror estimator for the reduction error. A key ingredient is a local\n\tLipschitz constant estimation that enables rigorous a-posteriori\n\terror estimation. The computation of the error estimator is realized\n\tby solving an auxiliary differential equation during online simulations.\n\tEstimation iterations can be performed that allow a balancing between\n\testimation sharpness and computation time. Numerical experiments\n\tdemonstrate the estimation improvement over different estimator versions\n\tand the rigor and effectiveness of the error bounds.", "file" : ":/home/dwirtz/dwirtzwww/WH10_preprint.pdf:PDF", "doi" : "10.1016/j.sysconle.2011.10.012", "bibtexKey": "wirtz2012efficient" } ] }