I have been working in the field of neural networks, mathematical and computational neuroscience since The main direction of my research has been related to modelling the functional behaviour of structures in the central nervous system. I was among the first in the world to apply new mathematical tools — multidimensional interacting Markovian processes and fields - to the analysis of dynamical regimes in stochastic neural networks.
Advanced Models of Neural Networks
I was engaged at Moscow in pioneer research concerned with developing numerical algorithms to investigate the bifurcations of steady states and limit cycles in nonlinear dynamical systems under parameter variation. These investigations showed that cooperative effects like physical phase-transitions and synchronisation phenomena occur normally in biological neural networks despite a very chaotic spike activity of single neurons.
In addition, metastable states of neural networks were proved to be useful to model short-term memory in a series of theoretical and simulation works. I am currently study neurodynamics and synchronisation in neural networks with various types of elements and architectures. The rhythm and waves in the brain are of special interest. The fulfilment of this program will form a unified approach to the modelling of various cognitive functions such as attention, memory, and decision making.
In collaboration with neurobiologists from Universities of Bristol and St Andrews we are developing biologically realistic detailed anatomical and physiological models of the tadpole nervous system which are able to execute information processing and control swimming behaviour. Borisyuk R.
Front Neuroinform. Neural Development , Roberts A. Supported by the Faculty of Science and Technology studentship J Math Neurosci. Eur J Neurosci. Sue Denham Borisyuk R. Bio Systems ; 3 Birgitte Lindegaard, Vance B. Allen, Emma Estevez, Matthew J. Watt, Clinton R. Bruce, Ole H. Alsted, Andreas N. Madsen, Bente K. Pedersen, Mark A. Febbraio: Interleukin activates skeletal muscle AMPK and reduces weight gain and insulin resistance in mice. Diabetes , 62 9 : , Susanne Ditlevsen and Petr Lansky: Only through perturbation can relaxation times be estimated.
Physical Review E , 86, , Anders Chr. Hansen: Aspartic acid racemization rate in narwhal Monodon monoceros eye lens nuclei estimated by counting of growth layers in tusks. Polar Research , 31, Patrick Jahn, Rune W. Journal of Computational Neuroscience , , Susanne Ditlevsen and Petr Lansky: Firing variability is higher than deduced from the empirical coefficient of variation. Neural Computation , 23 8 : , Scandinavian Journal of Statistics , 37 1 : , See also correction in the same issue, page Petr Lansky and Susanne Ditlevsen: A review of the methods for signal estimation in stochastic diffusion leaky integrate-and-fire neuronal models.
Biological Cybernetics , , Umberto Picchini, Susanne Ditlevsen, Andrea De Gaetano and Petr Lansky: Parameters of the diffusion leaky integrate-and-fire neuronal model for a slowly fluctuating signal. Neural Computation , , Rune W. Lindegaard, T. Hansen, T. Hvid, G. Plomgaard, S. Ditlevsen, J. Gerstoft, and B. Pedersen: The effect of strength and endurance training on insulin sensitivity and fat distribution in HIV-infected patients with lipodystrophy. Umberto Picchini, Susanne Ditlevsen and Andrea De Gaetano: Maximum likelihood estimation of a time-inhomogeneous stochastic differential model of glucose dynamics.
Susanne Ditlevsen and Ove Ditlevsen: Parameter estimation from observations of first-passage times of the Ornstein-Uhlenbeck process and the Feller process. Probabilistic Engineering Mechanics , , Susanne Ditlevsen and Petr Lansky: Parameters of stochastic diffusion processes estimated from observations of first hitting-times: application to the leaky integrate-and-fire neuronal model. Physical Review E , 76, , Marsh and Niels-Henrik Holstein-Rathlou: Parameter estimation of the feedback gain in a stochastic model of renal hemodynamics: differences between spontaneously hypertensive rats and Sprague-Dawley rats.
American Journal of Physiology. Renal Physiology , , Susanne Ditlevsen: A result on the first-passage time of an Ornstein-Uhlenbeck process. Statistics and Probability Letters , , Diabetes , 56 8 : , Farnsworth, U. Thygesen, S.
Ditlevsen, and N. King: How to estimate scavenger fish abundance using baited camera data. Marine Ecology Progress Series , , Physical Review E , 73, , Umberto Picchini, Susanne Ditlevsen and Andrea De Gaetano: Modeling the euglycemic hyperinsulinemic clamp by stochastic differential equations. Journal of Mathematical Biology , 53 5 : , Physical Review E , 71, , Bulletin of Mathematical Biology , , Susanne Ditlevsen, Kay-Pong Yip and Niels-Henrik Holstein-Rathlou: Parameter estimation in a stochastic model of the tubuloglomerular feedback mechanism in a rat nephron.
Mathematical Biosciences , , Theoretical Biology and Medical Modelling , , Epidemiology , 16 1 : , January Scandinavian Journal of Statistics , 31 3 : , Psychosomatic Medicine , Klaus Witt, Erik Knudsen, Susanne Ditlevsen and Hanne Hollnagel: Academic detailing has no effect on prescribing of asthma medication in Danish general practice: A three-year randomized controlled trial with 12 monthly follow-ups. Family Practice , 21 3 : , Peter D. Ditlevsen, Susanne Ditlevsen and Katrine K. Andersen: The fast climate fluctuations during the stadial and interstadial climate states.
Annals of Glaciology , Volume 35, , In Ahmed El Hady Ed. Susanne Ditlevsen and Adeline Samson: Introduction to stochastic models in biology. In Bachar, Batzel and Ditlevsen Eds.fycybinexabo.ml
Professor Roman Borisyuk
In Mathematical Physiology, [Eds. Volume of the Lecture Notes in Mathematics series Biosciences subseries , See also the electronic version. Lecture notes. Ricciardi, A. Buonocore, and E. Susanne Ditlevsen and Ove Ditlevsen : Parameter estimation from observations of first-passage times of the Ornstein-Uhlenbeck process and the Feller process.
Susanne Ditlevsen and Andrea De Gaetano : A model of the uptake of alternative fatty acids by isolated rat liver based on stochastic differential equations. Statistics in Medicine , , To the Editor. Epidemiology , 16 4 , July Susanne Ditlevsen: Matematikken i nervecellers dynamik.
Special issue of Scandinavian Journal of Statistics , 41 1 , 22, Associate editor, Biometrika , present. Consulting editor, Journal of Mathematical Psychology , present. Associate editor, Scandinavian Journal of Statistics , Associate editor, Mathematical Biosciences and Engineering , present. I have been in assessment committees for academic positions full, associate and assistant professorships in Denmark, Norway, Italy and Germany.
Mads Bonde Raad Current, Title: Neural Networks. Title: Inference from stochastic processes with application to birdsongs and biomedicine. Co-supervisor: Anders Rahbek, Department of Economics. Kang Li Anders Christian Jensen Massimiliano Tamborrino Title: Neural network connectivity and response latency modeled by stochastic processes. PhD students where I am or have been co-supervisor Troels Mikkelsen Title: Oscillations and bifurcations in complex systems such as the climate. Catalina Vich Title: Estimation of synaptic conductances. Christian Klement Main supervisor: Flemming Balvig, Faculty of Law.
Title: Crime among Outlaw Bikers in Denmark. Alexandre Iolov Main supervisor: Andre Longtin, University of Ottawa. Title: Parameter estimation, optimal control and optimal design in stochastic neuron models. Umberto Picchini PI Lundbeck Foundation Plenary talk. The 48th annual meeting of the Dutch probability and statistics community , Lunteren, the Netherlands. Keynote speaker. Tutorial speaker. Annual Meeting. Euro Summer School Lipari, Italy.
Matematiske Modeller i Diabetes. Symposium in honor of Ove Ditlevsen. DTU, Lyngby.
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