Found 106 Documents (Results 1–100)
Neuronal activity induces symmetry breaking in neurodegenerative disease spreading. (English) Zbl 1542.92003
Reviewer: Joseph Shomberg (Providence)
Collective behaviors of fractional-order FithzHugh-Nagumo network. (English) Zbl 07849170
MSC:
82-XX
Singular value decomposition of dual matrices and its application to traveling wave identification in the brain. (English) Zbl 1533.15007
Role of hierarchical heterogeneity in shaping seizure onset dynamics: insights from structurally-based whole-brain dynamical network models. (English) Zbl 1531.92027
Reproduced neuron-like excitability and bursting synchronization of memristive Josephson junctions loaded inductor. (English) Zbl 1538.82078
A generalization of the Sugeno integral to aggregate interval-valued data: an application to brain computer interface and social network analysis. (English) Zbl 1522.28022
Multiscale modelling of brain tissue oxygen and glucose dynamics in tortuous capillary during ischaemia-reperfusion. (English) Zbl 1505.92058
Using HMM to model neural dynamics and decode useful signals for neuroprosthetic control. (English) Zbl 07616598
Bouguila, Nizar (ed.) et al., Hidden Markov models and applications. Cham: Springer. Unsuperv. Semi-Superv. Learn., 59-79 (2022).
MSC:
62M05
Structural characterization of oscillations in brain networks with rate dynamics. (English) Zbl 1510.92018
Reviewer: Liviu Goraş (Iaşi)
MSC:
92B20
Quantum brain dynamics in \(2 + 1\) dimensions: non-equilibrium analysis towards memory formations. (English) Zbl 07529620
MSC:
82-XX
Interval type-2 fuzzy brain emotional control design for the synchronization of 4D nonlinear hyperchaotic systems. (English) Zbl 1498.93393
Non-equilibrium quantum brain dynamics. II: Formulation in \(3 + 1\) Dimensions. (English) Zbl 07456736
MSC:
82-XX
A gradient discretisation method for anisotropic reaction-diffusion models with applications to the dynamics of brain tumors. (English) Zbl 07446781
The Haken-Kelso-Bunz (HKB) model: from matter to movement to mind. (English) Zbl 1471.92025
MSC:
92B20
Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. (English) Zbl 1460.92101
MSC:
92C50
Multi-subject stochastic blockmodels with mixed effects for adaptive analysis of individual differences in human brain network cluster structure. (English) Zbl 1541.62150
Synchronization in functional networks of the human brain. (English) Zbl 1466.92008
Reviewer: Nikolay Kyurkchiev (Plovdiv)
Analysis and application of the interpolating element-free Galerkin method for extended Fisher-Kolmogorov equation which arises in brain tumor dynamics modeling. (English) Zbl 1465.65095
Numerical investigation of a neural field model including dendritic processing. (English) Zbl 1452.65401
Optimal rates for community estimation in the weighted stochastic block model. (English) Zbl 1440.62126
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Predicting neural network dynamics via graphical analysis. (English) Zbl 1409.92014
Robeva, Raina (ed.) et al., Algebraic and combinatorial computational biology. Amsterdam: Elsevier/Academic Press. Math. Sci. Eng., 241-277 (2019).
A basic phase diagram of neuronal dynamics. (English) Zbl 1472.92030
MSC:
92B20
Coexistence of stochastic oscillations and self-organized criticality in a neuronal network: sandpile model application. (English) Zbl 1472.92040
MSC:
92B20
Synaptic dynamics regulation in response to high frequency stimulation in neuronal networks. (English) Zbl 1510.92021
MSC:
92B20
Chaotic dynamics in brain activity: an approach based on cross-prediction errors for nonstationary signals. (English) Zbl 1406.92091
Brain-inspired constructive learning algorithms with evolutionally additive nonlinear neurons. (English) Zbl 1390.68525
MSC:
68T05
Numerical methods for interface coupling of compressible and almost incompressible media. (English) Zbl 1459.65214
Reviewer: Abdallah Bradji (Annaba)
Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies. (English) Zbl 1373.92059
Reviewer: E. Ahmed (Mansoura)
Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization. (English) Zbl 1349.93102
Cerebrospinal fluid mechanics and its coupling to cerebrovascular dynamics. (English) Zbl 1356.76466
Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 48. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0748-6/hbk). Annual Review of Fluid Mechanics 48, 219-257 (2016).
Assessing directionality and strength of coupling through symbolic analysis: an application to epilepsy patients. (English) Zbl 1353.92057
Coevolution between strategy and social networks structure promotes cooperation. (English) Zbl 1353.91009
Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram. (English) Zbl 1357.92040
A study of brain biomechanics using Hamilton’s principle: application to hydrocephalus. (English) Zbl 1339.92006
Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 191-197 (2015).
Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics. (English) Zbl 1510.92090
Directionality of real world networks as predicted by path length in directed and undirected graphs. (English) Zbl 1395.90048
Springer handbook of bio-/neuro-informatics. (English) Zbl 1304.92001
Springer Handbooks. Dordrecht: Springer (ISBN 978-3-642-30573-3/hbk; 978-3-642-30574-0/ebook). lvii, 1229 p. (2014).
Reviewer: Irina Ioana Mohorianu (Norwich)
Strobing brain thunders: functional correlation of extreme activity events. (English) Zbl 1355.92017
Mathematical models of brain dynamics: progress and perspectives. (English) Zbl 1433.92004
Baskoro, Edy Tri (ed.) et al., The 5th international conference on research and education in mathematics, ICREM5, Bandung, Indonesia, October, 22–24, 2011. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1450, 18-22 (2012).
Towards a model-based integration of co-registered electroencephalography/functional magnetic resonance imaging data with realistic neural population meshes. (English) Zbl 1239.92065
Metabifurcation analysis of a mean field model of the cortex. (English) Zbl 1263.92009
Reviewer: Yuming Chen (Waterloo)
Informational interactions and the brain - nonlinear dynamics reveals individual (hyper)sensitivity to EMF. (English) Zbl 1221.37165
Reviewer: Constantin Udrişte (Bucureşti)
Time-frequency analysis of brain neurodynamics. (English) Zbl 1192.49037
Gao, David Y. (ed.) et al., Advances in applied mathematics and global optimization. In honor of Gilbert Strang on the occasion of his 70th birthday. Mainly selected lectures of the 1st international conference on complementarity, duality, and global optimization (CDGO), Blacksburg, VA, August 15–17, 2005. New York, NY: Springer (ISBN 978-0-387-75713-1/hbk; 978-0-387-75714-8/ebook). Advances in Mechanics and Mathematics 17, 107-136 (2009).
Compensating time delays with neural predictions: are predictions sensory or motor? (English) Zbl 1185.92022
MSC:
92C20
Chaos and generalised multistability in a mesoscopic model of the electroencephalogram. (English) Zbl 1179.37049
Reviewer: Yuming Chen (Waterloo)
Modeling absence seizure dynamics: implications for basic mechanisms and measurement of thalamocortical and corticothalamic latencies. (English) Zbl 1398.92045
MSC:
92C20
Absence seizures as resetting mechanisms of brain dynamics. (English. Russian original) Zbl 1159.92304
Cybern. Syst. Anal. 44, No. 5, 664-672 (2008); Translation from Kibern. Sist. Anal. 2008, No. 5, 45-53 (2008).
MSC:
92C20
Supersymmetric methods in the traveling variable: inside neurons and at the brain scale. (English) Zbl 1151.92006
Licata, Ignazio (ed.) et al., Physics of emergence and organization. Hackensack, NJ: World Scientific (ISBN 978-981-277-994-6/hbk). 253-265 (2008).
On the time series support vector machine using dynamic time warping kernel for brain activity classification. (English. Russian original) Zbl 1181.68190
Cybern. Syst. Anal. 44, No. 1, 125-138 (2008); translation from Kibern. Sist. Anal. 2008, No. 1, 159-173 (2008).
Complexity explained. (English) Zbl 1162.37001
Springer Complexity. Berlin: Springer (ISBN 978-3-540-35777-3/hbk). xvi, 397 p. (2008).
Reviewer: E. Ahmed (Mansoura)
Neuron bifurcations in an analog electronic burster. (English) Zbl 1131.92018
Descalzi, Orazio (ed.) et al., Nonequilibrium statistical mechanics and nonlinear physics. XV conference on nonequilibrium statistical mechanics and nonlinear physics, Mar del Plata, Argentina, 4–8 December 2006. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0421-2/hbk). AIP Conference Proceedings 913, 170-177 (2007).
Electroencephalogram (EEG) time series classification: applications in epilepsy. (English) Zbl 1104.92037
Phase plot manifestations in globally coupled maps: effects of scale. (English) Zbl 1082.92013
Connect. Sci. 18, No. 1, 61-67 (2006).
Modelling of calcium dynamics in brain energy metabolism and Alzheimer’s disease. (English) Zbl 1096.92025
Geometric models, fiber bundles and biomedical applications. (English) Zbl 1093.92048
Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1518-1525 (2004).
Reviewer: S. V. Spichak (Kyïv)
Parallelizing grammatical functions: P600 and P345 reflect different cost of reanalysis. (English) Zbl 1065.91558
Simulated electrocortical activity at microscopic, mesoscopic and global scales. (English) Zbl 1064.92012
Neurophysical theory of coherence and correlations of electroencephalographic and electrocorticographic signals. (English) Zbl 1464.92139
Neuroscience. A mathematical primer. (English) Zbl 1018.92003
New York, NY: Springer. xx, 352 p. (2002).
Reviewer: Tanya Kostova-Vassilevska (Livermore)
Traversing scales of brain and behavioral organization. III: Theoretical modeling. (English) Zbl 0922.92004
Uhl, Christian (ed.), Analysis of neurophysiological brain functioning. Workshop, Leipzig, Germany, December 1997. Berlin: Springer. Springer Ser. Synergetics. 107-125 (1999).
MSC:
92C20
Brain function and oscillation. Vol. 1: Brain oscillations, principles and approaches. (English) Zbl 0904.92012
Springer Series in Synergetics. Berlin: Springer. xxxiii, 363 p. (1998).
Reviewer: H.R.Hirsch (Lexington)
Thinking in complexity: the complex dynamics of matter, mind, and mankind. 3rd rev. and enl. ed. (English) Zbl 0897.00009
Berlin: Springer. xiv, 361 p. (1997).
Thinking in complexity. The complex dynamics of matter, mind, and mankind. 2nd rev. and enl. ed. (English) Zbl 0866.00019
Berlin: Springer. x, 329 p. (1996).
Reviewer: A.A.Mullin (Huntsville)
Bio-fluid mechanics. (English) Zbl 0871.76001
Advances in Fluid Mechanics. 3. Southampton: Computational Mechanics Publications. 336 p. (1995).
Physical models of cognition. (English) Zbl 0821.92028
Mathematical methods of neurocomputing. (English) Zbl 0821.92003
Barndorff-Nielsen, O. E. (ed.) et al., Networks and chaos: statistical and probabilistic aspects. Revised versions of papers given at the first European statistical seminar on chaos and neural networks, held at Sandbjerg/Aarhus University from 25 April to 7 May 1992. London: Chapman and Hall. Monogr. Stat. Appl. Probab. 50, 1-39 (1993).
Single neuron computation. (English) Zbl 0780.92004
Boston, MA etc.: Academic Press, Inc. XIV, 644 p. (1992).
Reviewer: A.Schierwagen (Leipzig)
Mathematical topics in biology. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, October 15-17, 1990. (Japanese, English) Zbl 0789.92022
Multi-layer replicator network algorithms. (English) Zbl 0713.92017
Evolution and optimization, Proc. Int. Workshop, Wartburg-Eisenach/Ger. 1989, 95-106 (1990).
The adaptive brain I: Cognition, learning, reinforcement, and rhythm. II: Vision, speech, language, and motor control. (Reprint of the original, publ. in the series ”Advances in Psychology, 43”). (English) Zbl 0687.92007
Amsterdam etc.: North-Holland. xix, 497 p./vol.1; xvii, 513 p./vol.2 $ 90.00/set; Dfl. 190.00/set (1988).
Chaotic dynamics applied to biological information processing. (English) Zbl 0647.92001
Mathematical Ecology. Berlin: Akademie-Verlag. 120 p.; DM 20.00 (1987).
Reviewer: T.Kostova-Vassilevska
The dynamics of a Glia-modulated neural network and its relation to brain functions. (English) Zbl 0635.92004
Mathematical topics in population biology, morphogenesis and neurosciences, Proc. Int. Symp., Kyoto/Jap. 1985, Lect. Notes Biomath. 71, 292-300 (1987).
MSC:
92Cxx
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