Publications
2025
- Böhringer D., Cóndor M., Bischof L., Czerwinski T., Gampl N., Ngo P., Bauer A., Bosch-Voskens C., Lopez Posadas R., Franze K., Budday S., Mark C., Fabry B., Gerum R.:
Dynamic traction force measurements of migrating immune cells in 3D matrices
(2025)
DOI: 10.1101/2022.11.16.516758 - Czerwinski T., Bischof L., Böhringer D., Kara-Kocak S., Strissel P., Strick R., Winterl A., Gerum R., Wittmann E., Schneider M., Beckmann M., Nusser G., Wiesinger M., Budday S., Lux A., Bosch-Voskens C., Fabry B., Mark C.:
Immune cells employ intermittent integrin-mediated traction forces for 3D migration
(2025)
DOI: 10.1101/2023.04.20.537658
2024
- Filla N., Hou J., Liu T., Budday S., Wang X.:
Accuracy meets simplicity: A constitutive model for heterogenous brain tissue
In: Journal of the Mechanical Behavior of Biomedical Materials 150 (2024), Article No.: 106271
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2023.106271 - Griffiths E., Jayamohan J., Budday S.:
A comparison of brain retraction mechanisms using finite element analysis and the effects of regionally heterogeneous material properties
In: Biomechanics and Modeling in Mechanobiology 23 (2024), p. 793-808
ISSN: 1617-7959
DOI: 10.1007/s10237-023-01806-2 - Hinrichsen J., Feiler L., Reiter N., Bräuer L., Schicht M., Paulsen F., Budday S.:
Identifying composition-mechanics relations in human brain tissue based on neural-network-enhanced inverse parameter identification
In: Mathematics and Mechanics of Solids (2024)
ISSN: 1081-2865
DOI: 10.1177/10812865231206544 - Hinrichsen J., Ferlay C., Reiter N., Budday S.:
Using dropout based active learning and surrogate models in the inverse viscoelastic parameter identification of human brain tissue
In: Frontiers in Physiology 15 (2024), Article No.: 1321298
ISSN: 1664-042X
DOI: 10.3389/fphys.2024.1321298 - Karakaya E., Gleichauf L., Schöbel L., Hassan A., Ahmadi Soufivand A., Tessmar J., Budday S., Boccaccini AR., Detsch R.:
Engineering peptide-modified alginate-based bioinks with cell-adhesive properties for biofabrication
In: RSC Advances 14 (2024), p. 13769-13786
ISSN: 2046-2069
DOI: 10.1039/d3ra08394b - Türker E., Andrade Mier MS., Faber J., Padilla Padilla SJ., Murenu N., Stahlhut P., Lang G., Lamberger Z., Weigelt J., Schaefer N., Tessmar J., Strissel P., Blunk T., Budday S., Strick R., Villmann C.:
Breast Tumor Cell Survival and Morphology in a Brain-like Extracellular Matrix Depends on Matrix Composition and Mechanical Properties
In: Advanced Biology 8 (2024), Article No.: 2400184
ISSN: 2701-0198
DOI: 10.1002/adbi.202400184
2023
- Ahmadi Soufivand A., Budday S.:
Predicting the hyperelastic properties of alginate-gelatin hydrogels and 3D bioprinted mesostructures
In: Scientific Reports 13 (2023), Article No.: 21858
ISSN: 2045-2322
DOI: 10.1038/s41598-023-48711-3 - Ahmadi Soufivand A., Faber J., Hinrichsen J., Budday S.:
Multilayer 3D bioprinting and complex mechanical properties of alginate-gelatin mesostructures
In: Scientific Reports 13 (2023), p. 11253-
ISSN: 2045-2322
DOI: 10.1038/s41598-023-38323-2 - Azizi P., Drobek C., Budday S., Seitz H.:
Simulating the mechanical stimulation of cells on a porous hydrogel scaffold using an FSI model to predict cell differentiation
In: Frontiers in Bioengineering and Biotechnology 11 (2023), Article No.: 1249867
ISSN: 2296-4185
DOI: 10.3389/fbioe.2023.1249867 - Bertalan G., Becker J., Tzschätzsch H., Morr A., Herthum H., Shahryari M., Greenhalgh RD., Guo J., Schröder L., Alzheimer C., Budday S., Franze K., Braun J., Sack I.:
Mechanical behavior of the hippocampus and corpus callosum: An attempt to reconcile ex vivo with in vivo and micro with macro properties
In: Journal of the Mechanical Behavior of Biomedical Materials 138 (2023), Article No.: 105613
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2022.105613 - Budday S.:
Exploring human brain mechanics by combining experiments, modeling, and simulation
In: Brain Multiphysics 5 (2023), Article No.: 100076
ISSN: 2666-5220
DOI: 10.1016/j.brain.2023.100076 - Böhringer D., Bauer A., Moravec I., Bischof L., Kah DE., Mark C., Grundy TJ., Görlach E., O'Neill GM., Budday S., Strissel P., Strick R., Malandrino A., Gerum R., Mak M., Rausch M., Fabry B.:
Fiber alignment in 3D collagen networks as a biophysical marker for cell contractility
In: Matrix Biology 124 (2023), p. 39-48
ISSN: 0945-053X
DOI: 10.1016/j.matbio.2023.11.004 - Chayanun S., Ahmadi Soufivand A., Faber J., Budday S., Lohwongwatana B., Boccaccini AR.:
Reinforcing Tissue-Engineered Cartilage: Nanofibrillated Cellulose Enhances Mechanical Properties of Alginate Dialdehyde–Gelatin Hydrogel
In: Advanced Engineering Materials (2023)
ISSN: 1438-1656
DOI: 10.1002/adem.202300641 - Flaschel M., Yu H., Reiter N., Hinrichsen J., Budday S., Steinmann P., Kumar S., De Lorenzis L.:
Automated discovery of interpretable hyperelastic material models for human brain tissue with EUCLID
In: Journal of the Mechanics and Physics of Solids 180 (2023), Article No.: 105404
ISSN: 0022-5096
DOI: 10.1016/j.jmps.2023.105404 - Griffiths E., Hinrichsen J., Reiter N., Budday S.:
On the importance of using region-dependent material parameters for full-scale human brain simulations
In: European Journal of Mechanics A-Solids 99 (2023), Article No.: 104910
ISSN: 0997-7538
DOI: 10.1016/j.euromechsol.2023.104910 - Hinrichsen J., Reiter N., Bräuer L., Paulsen F., Käßmair S., Budday S.:
Inverse identification of region-specific hyperelastic material parameters for human brain tissue
In: Biomechanics and modeling in mechanobiology (2023)
ISSN: 1617-7940
DOI: 10.1007/s10237-023-01739-w - Hinrichsen J., Reiter N., Bräuer L., Paulsen F., Käßmair S., Budday S.:
Inverse identification of region-specific hyperelastic material parameters for human brain tissue
In: Biomechanics and Modeling in Mechanobiology (2023)
ISSN: 1617-7959
DOI: 10.1007/s10237-023-01739-w - Kainz MP., Greiner A., Hinrichsen J., Kolb D., Comellas E., Steinmann P., Budday S., Terzano M., Holzapfel GA.:
Poro-viscoelastic material parameter identification of brain tissue-mimicking hydrogels
In: Frontiers in Bioengineering and Biotechnology 11 (2023), Article No.: 1143304
ISSN: 2296-4185
DOI: 10.3389/fbioe.2023.1143304 - Reiter N., Paulsen F., Budday S.:
Mechanisms of mechanical load transfer through brain tissue
In: Scientific Reports 13 (2023), Article No.: 8703
ISSN: 2045-2322
DOI: 10.1038/s41598-023-35768-3 - Reiter N., Schäfer AM., Auer S., Paulsen F., Budday S.:
Modeling the finite viscoelasticity of human brain tissue based on microstructural information
In: Proceedings in Applied Mathematics and Mechanics (2023)
ISSN: 1617-7061
DOI: 10.1002/pamm.202300234 - Weigel I., Nistler S., Pichner R., Budday S., Gensberger-Reigl S.:
Dried Vegetables as Potential Clean-Label Phosphate Substitutes in Cooked Sausage Meat
In: Foods 12 (2023), Article No.: 1960
ISSN: 2304-8158
DOI: 10.3390/foods12101960 - Weizel A., Distler T., Detsch R., Boccaccini AR., Seitz H., Budday S.:
Time-dependent hyper-viscoelastic parameter identification of human articular cartilage and substitute materials
In: Journal of the Mechanical Behavior of Biomedical Materials 138 (2023), Article No.: 105618
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2022.105618 - Zarzor MS., Blümcke I., Budday S.:
Exploring the role of the outer subventricular zone during cortical folding through a physics-based model
In: eLife 12 (2023)
ISSN: 2050-084X
DOI: 10.7554/eLife.82925 - Zarzor MS., Steinmann P., Budday S.:
Multifield computational model for human brain development: Explicit numerical stabilization
In: Proceedings in Applied Mathematics and Mechanics (2023)
ISSN: 1617-7061
DOI: 10.1002/pamm.202300288
2022
- Faber J., Hinrichsen J., Greiner A., Reiter N., Budday S.:
Tissue-Scale Biomechanical Testing of Brain Tissue for the Calibration of Nonlinear Material Models
In: Current Protocols 2 (2022), p. e381-
ISSN: 2691-1299
DOI: 10.1002/cpz1.381 - Griffiths E., Budday S.:
Finite element modeling of traumatic brain injury: Areas of future interest
In: Current Opinion in Biomedical Engineering 24 (2022), Article No.: 100421
ISSN: 2468-4511
DOI: 10.1016/j.cobme.2022.100421 - Janzen D., Bakirci E., Faber J., Mier MA., Hauptstein J., Pal A., Forster L., Hazur J., Boccaccini AR., Detsch R., Tessmar J., Budday S., Blunk T., Dalton PD., Villmann C.:
Reinforced Hyaluronic Acid-Based Matrices Promote 3D Neuronal Network Formation
In: Advanced Healthcare Materials (2022)
ISSN: 2192-2640
DOI: 10.1002/adhm.202201826 - Kuth S., Karakaya E., Reiter N., Schmidt LP., Paulsen F., Tessmar J., Budday S., Boccaccini AR.:
Oxidized Hyaluronic Acid-Gelatin-Based Hydrogels for Tissue Engineering and Soft Tissue Mimicking
In: Tissue Engineering - Part C: Methods (2022)
ISSN: 1937-3384
DOI: 10.1089/ten.tec.2022.0004 - Ovsepyan AL., Smirnov AA., Pustozerov EA., Mokhov DE., Mokhova ES., Trunin EM., Dydykin SS., Vasil'Ev YL., Yakovlev EV., Budday S., Paulsen F., Zhivolupov SA., Starchik DA.:
Biomechanical analysis of the cervical spine segment as a method for studying the functional and dynamic anatomy of the human neck
In: Annals of Anatomy-Anatomischer Anzeiger 240 (2022), Article No.: 151856
ISSN: 0940-9602
DOI: 10.1016/j.aanat.2021.151856 - Weizel A., Distler T., Detsch R., Boccaccini AR., Paulsen F., Seitz H., Budday S., Bräuer L.:
Hyperelastic parameter identification of human articular cartilage and substitute materials
In: Journal of the Mechanical Behavior of Biomedical Materials 133 (2022)
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2022.105292
2021
- Blümcke I., Budday S., Poduri A., Lal D., Kobow K., Baulac S.:
Neocortical development and epilepsy: insights from focal cortical dysplasia and brain tumours
In: Lancet Neurology 20 (2021), p. 943-955
ISSN: 1474-4422
DOI: 10.1016/S1474-4422(21)00265-9 - Budday S., Bayly PV., Holzapfel GA.:
Editorial: Advances in Brain Mechanics
In: Frontiers in Mechanical Engineering 7 (2021)
ISSN: 2297-3079
DOI: 10.3389/fmech.2021.803151 - Distler T., Kretzschmar L., Schneidereit D., Girardo S., Goswami R., Friedrich O., Detsch R., Guck J., Boccaccini AR., Budday S.:
Mechanical properties of cell- and microgel bead-laden oxidized alginate-gelatin hydrogels
In: Biomaterials Science (2021), Article No.: d0bm02117b
ISSN: 2047-4830
DOI: 10.1039/D0BM02117B
URL: https://pubs.rsc.org/en/content/articlelanding/2021/bm/d0bm02117b - Fischhaber N., Faber J., Bakirci E., Dalton PD., Budday S., Villmann C., Schaefer N.:
Spinal Cord Neuronal Network Formation in a 3D Printed Reinforced Matrix—A Model System to Study Disease Mechanisms
In: Advanced Healthcare Materials (2021)
ISSN: 2192-2640
DOI: 10.1002/adhm.202100830
URL: https://onlinelibrary.wiley.com/doi/10.1002/adhm.202100830?af=R - Greiner A., Käßmair S., Budday S.:
Physical aspects of cortical folding
In: Soft Matter (2021)
ISSN: 1744-683X
DOI: 10.1039/d0sm02209h - Greiner A., Reiter N., Paulsen F., Holzapfel GA., Steinmann P., Comellas Sanfeliu E., Budday S.:
Poro-Viscoelastic Effects During Biomechanical Testing of Human Brain Tissue
In: Frontiers in Mechanical Engineering 7 (2021), Article No.: 708350
ISSN: 2297-3079
DOI: 10.3389/fmech.2021.708350 - Linka K., Reiter N., Würges J., Schicht M., Cyron CJ., Paulsen F., Budday S., Bräuer L.:
Unraveling the Local Relation Between Tissue Composition and Human Brain Mechanics Through Machine Learning
In: Frontiers in Bioengineering and Biotechnology 9 (2021)
ISSN: 2296-4185
DOI: 10.3389/fbioe.2021.704738 - Lippold D., Kergaßner A., Burkhardt C., Kergaßner M., Loos J., Nistler S., Steinmann P., Budday D., Budday S.:
Spatiotemporal modeling of first and second wave outbreak dynamics of COVID‐19 in Germany
In: Biomechanics and Modeling in Mechanobiology (2021)
ISSN: 1617-7959
DOI: 10.1007/s10237-021-01520-x - Reiter N., Roy B., Paulsen F., Budday S.:
Insights into the Microstructural Origin of Brain Viscoelasticity
In: Journal of Elasticity 145 (2021), p. 99-116
ISSN: 0374-3535
DOI: 10.1007/s10659-021-09814-y
URL: https://link.springer.com/article/10.1007/s10659-021-09814-y - Zarzor MS., Käßmair S., Steinmann P., Blümcke I., Budday S.:
A two-field computational model couples cellular brain development with cortical folding
In: Brain Multiphysics 2 (2021), p. 100025
ISSN: 2666-5220
DOI: 10.1016/j.brain.2021.100025 - Zarzor MS., Käßmair S., Steinmann P., Blümcke I., Budday S.:
Exploring the interplay between cellular development and mechanics in the developing human brain
In: Proceedings in Applied Mathematics and Mechanics 21 (2021), Article No.: e202100104
ISSN: 1617-7061
DOI: 10.1002/pamm.202100104
2020
- Budday S., Kuhl E.:
Modeling the life cycle of the human brain
In: Current Opinion in Biomedical Engineering (2020)
ISSN: 2468-4511
DOI: 10.1016/j.cobme.2019.12.009
URL: https://www.sciencedirect.com/science/article/pii/S2468451119300832?via=ihub - Budday S., Ovaert T., Holzapfel GA., Steinmann P., Kuhl E.:
Fifty Shades of Brain: A Review on the Mechanical Testing and Modeling of Brain Tissue
In: Archives of Computational Methods in Engineering 27 (2020), p. 1187–1230
ISSN: 1134-3060
DOI: 10.1007/s11831-019-09352-w
URL: https://link.springer.com/article/10.1007/s11831-019-09352-w - Budday S., Sarem M., Starck L., Sommer G., Pfefferle J., Phunchago N., Kuhl E., Paulsen F., Steinmann P., Shastri VP., Holzapfel GA.:
Towards microstructure-informed material models for human brain tissue
In: Acta Biomaterialia 104 (2020), p. 53-65
ISSN: 1742-7061
DOI: 10.1016/j.actbio.2019.12.030
URL: https://www.sciencedirect.com/science/article/pii/S1742706119308682?via=ihub - Comellas Sanfeliu E., Budday S., Pelteret JP., Holzapfel GA., Steinmann P.:
Modeling the porous and viscous responses of human brain tissue behavior
In: Computer Methods in Applied Mechanics and Engineering 369 (2020), Article No.: 113128
ISSN: 0045-7825
DOI: 10.1016/j.cma.2020.113128
URL: https://www.sciencedirect.com/science/article/pii/S0045782520303133 - Distler T., Schaller E., Steinmann P., Boccaccini AR., Budday S.:
Alginate-based hydrogels show the same complex mechanical behavior as brain tissue
In: Journal of the Mechanical Behavior of Biomedical Materials 111 (2020), Article No.: 103979
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2020.103979
URL: https://www.sciencedirect.com/science/article/abs/pii/S1751616120305312 - Holland MA., Budday S., Li G., Shen D., Goriely A., Kuhl E.:
Folding drives cortical thickness variations
In: European Physical Journal - Special Topics 229 (2020), p. 2757-2778
ISSN: 1951-6355
DOI: 10.1140/epjst/e2020-000001-6 - Kergaßner A., Burkhardt C., Lippold D., Kergaßner M., Pflug L., Budday D., Steinmann P., Budday S.:
Memory-based meso-scale modeling of Covid-19
In: Computational Mechanics (2020)
ISSN: 0178-7675
DOI: 10.1007/s00466-020-01883-5 - Weizel A., Distler T., Schneidereit D., Friedrich O., Bräuer L., Paulsen F., Detsch R., Boccaccini AR., Budday S., Seitz H.:
Complex mechanical behavior of human articular cartilage and hydrogels for cartilage repair
In: Acta Biomaterialia (2020)
ISSN: 1742-7061
DOI: 10.1016/j.actbio.2020.10.025
URL: https://www.sciencedirect.com/science/article/pii/S1742706120306140
2019
2018
- Andres S., Steinmann P., Budday S.:
The origin of compression influences geometric instabilities in bilayers
In: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences (2018)
ISSN: 1364-5021
DOI: 10.1098/rspa.2018.0267 - Budday S.:
The Role of Mechanics during Brain Development (Dissertation, 2018)
URL: https://opus4.kobv.de/opus4-fau/frontdoor/index/index/year/2018/docId/9298 - Budday S., Sommer G., Paulsen F., Holzapfel GA., Steinmann P., Kuhl E.:
Region‐ and loading‐specific finite viscoelasticity of human brain tissue
In: Proceedings in Applied Mathematics and Mechanics 18 (2018), Article No.: e201800169
ISSN: 1617-7061
DOI: 10.1002/pamm.201800169 - Holland M., Goriely A., Budday S., Kuhl E.:
Symmetry Breaking in Wrinkling Patterns: Gyri Are Universally Thicker than Sulci
In: Physical Review Letters 121 (2018), Article No.: 228002
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.121.228002
2017
- Budday S., Andres S., Walter B., Steinmann P., Kuhl E.:
Wrinkling instabilities in soft bi-layered systems
In: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 375 (2017)
ISSN: 1364-503X
DOI: 10.1098/rsta.2016.0163 - Budday S., Sommer G., Birkl C., Langkammer C., Haybaeck J., Kohnert J., Bauer M., Paulsen F., Steinmann P., Kuhl E., Holzapfel GA.:
Mechanical characterization of human brain tissue
In: Acta Biomaterialia 48 (2017), p. 319–340
ISSN: 1742-7061
DOI: 10.1016/j.actbio.2016.10.036 - Budday S., Sommer G., Haybaeck J., Steinmann P., Holzapfel GA., Kuhl E.:
Rheological characterization of human brain tissue
In: Acta Biomaterialia (2017)
ISSN: 1742-7061
DOI: 10.1016/j.actbio.2017.06.024 - Budday S., Sommer G., Holzapfel GA., Steinmann P., Kuhl E.:
Viscoelastic parameter identification of human brain tissue
In: Journal of the Mechanical Behavior of Biomedical Materials 74 (2017), p. 463-476
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2017.07.014 - Budday S., Steinmann P.:
On the influence of inhomogeneous stiffness and growth on mechanical instabilities in the developing brain
In: International Journal of Solids and Structures (2017)
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2017.08.010 - Mihai LA., Budday S., Holzapfel GA., Kuhl E., Goriely A.:
A family of hyperelastic models for human brain tissue
In: Journal of the Mechanics and Physics of Solids 106 (2017), p. 60-79
ISSN: 0022-5096
DOI: 10.1016/j.jmps.2017.05.015 - Weickenmeier J., de Rooij R., Budday S., Ovaert T., Kuhl E.:
The mechanical importance of myelination in the central nervous system
In: Journal of the Mechanical Behavior of Biomedical Materials (2017)
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2017.04.017
2016
2015
- Budday S., Kuhl E., Hutchinson JW.:
Period-doubling and period-tripling in growing bilayered systems
In: Philosophical Magazine - (2015), p. 1-17
ISSN: 1478-6443
DOI: 10.1080/14786435.2015.1014443 - Budday S., Nay R., de Rooij R., Steinmann P., Wyrobek T., Ovaert T., Kuhl E.:
Mechanical properties of gray and white matter brain tissue by indentation
In: Journal of the Mechanical Behavior of Biomedical Materials (2015), p. 318-330
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2015.02.024 - Budday S., Steinmann P., Goriely A., Kuhl E.:
Size and curvature regulate pattern selection in the mammalian brain
In: Extreme Mechanics Letters 4 (2015), p. 193-198
ISSN: 2352-4316
DOI: 10.1016/j.eml.2015.07.004 - Budday S., Steinmann P., Kuhl E.:
Physical biology of human brain development
In: Frontiers in Cellular Neuroscience 9 (2015), p. 1-13
ISSN: 1662-5102
DOI: 10.3389/fncel.2015.00257 - Budday S., Steinmann P., Kuhl E.:
Secondary instabilities modulate cortical complexity in the mammalian brain
In: Philosophical Magazine 95 (2015), p. 3244–3256
ISSN: 1478-6435
DOI: 10.1080/14786435.2015.1024184 - Budday S., Steinmann P., Kuhl E., Andres S.:
Primary and secondary instabilities in soft bilayered systems
GAMM Jahrestagung (Lecce)
In: PAMM, Weinheim: 2015
DOI: 10.1002/pamm.201510131 - Goriely A., Budday S., Kuhl E.:
Chapter two-neuromechanics: From neurons to brain
In: Advances in Applied Mechanics 48 (2015), p. 79--139
ISSN: 0065-2156
DOI: 10.1016/bs.aams.2015.10.002
2014
- Budday S., Kuhl E., Raybaud C.:
A mechanical model predicts morphological abnormalities in the developing human brain
In: Scientific Reports 4 (2014)
ISSN: 2045-2322
DOI: 10.1038/srep05644 - Budday S., Steinmann P., Kuhl E.:
A mechanical approach to explain cortical folding phenomena in healthy and diseased brains
GAMM 2014 (Erlangen, Germany, 10. March 2014 - 14. March 2014)
In: PAMM, Erlangen, Germany: 2014
DOI: 10.1002/pamm.201410038 - Budday S., Steinmann P., Kuhl E.:
The role of mechanics during brain development
In: Journal of the Mechanics and Physics of Solids 72 (2014), p. 75-92
ISSN: 0022-5096
DOI: 10.1016/j.jmps.2014.07.010