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by Romagnoni, A and Jegou, S and Van Steen, K and Wainrib, G and Hugot, JP and Peyrin-Biroulet, L and Chamaillard, M and Colombel, JF and Cottone, M and D'Amato, M and D'Inca, R and Halfvarson, J and Henderson, P and Karban, A and Kennedy, NA and Khan, MA and Lemann, M and Levine, A and Massey, D and Milla, M and Ng, SME and Oikonomou, I and Peeters, H and Proctor, DD and Rahier, JF and Rutgeerts, P and Seibold, F and Stronati, L and Taylor, KM and Torkvist, L and Ublick, K and Van Limbergen, J and Van Gossum, A and Vatn, MH and Zhang, H and Zhang, W and Andrews, JM and Bampton, PA and Barclay, M and Florin, TH and Gearry, R and Krishnaprasad, K and Lawrance, IC and Mahy, G and Montgomery, GW and Radford-Smith, G and Roberts, RL and Simms, LA and Hanigan, K and Croft, A and Amininijad, L and Cleynen, I and Dewit, O and Franchimont, D and Georges, M and Laukens, D and Theatre, E and Vermeire, S and Aumais, G and Baidoo, L and Barrie, AM and Beck, K and Bernard, EJ and Binion, DG and Bitton, A and Brant, SR and Cho, JH and Cohen, A and Croitoru, K and Daly, MJ and Datta, LW and Deslandres, C and Duerr, RH and Dutridge, D and Ferguson, J and Fultz, J and Goyette, P and Greenberg, GR and Haritunians, T and Jobin, G and Katz, S and Lahaie, RG and McGovern, DP and Nelson, L and Ng, SM and Ning, K and Pare, P and Regueiro, MD and Rioux, JD and Ruggiero, E and Schumm, LP and Schwartz, M and Scott, R and Sharma, Y and Silverberg, MS and Spears, D and Steinhart, AH and Stempak, JM and Swoger, JM and Tsagarelis, C and ... and Int Inflammatory Bowel Dis Genetic and International Inflammatory Bowel Disease Genetics Consortium (IIBDGC) and Örebro universitet and Institutionen för medicinska vetenskaper
SCIENTIFIC REPORTS, ISSN 2045-2322, 07/2019, Volume 9, Issue 1, pp. 10351 - 18
Journal Article
by Romagnoni, A and Jegou, S and Van Steen, K and Wainrib, G and Hugot, JP and Peyrin-Biroulet, L and Chamaillard, M and Colombel, JF and Cottone, M and D'Amato, M and D'Inca, R and Halfvarson, J and Henderson, P and Karban, A and Kennedy, NA and Khan, MA and Lemann, M and Levine, A and Massey, D and Milla, M and Ng, SME and Oikonomou, I and Peeters, H and Proctor, DD and Rahier, JF and Rutgeerts, P and Seibold, F and Stronati, L and Taylor, KM and Torkvist, L and Ublick, K and Van Limbergen, J and Van Gossum, A and Vatn, MH and Zhang, H and Zhang, W and Andrews, JM and Bampton, PA and Barclay, M and Florin, TH and Gearry, R and Krishnaprasad, K and Lawrance, IC and Mahy, G and Montgomery, GW and Radford-Smith, G and Roberts, RL and Simms, LA and Hanigan, K and Croft, A and Amininijad, L and Cleynen, I and Dewit, O and Franchimont, D and Georges, M and Laukens, D and Theatre, E and Vermeire, S and Aumais, G and Baidoo, L and Barrie, AM and Beck, K and Bernard, EJ and Binion, DG and Bitton, A and Brant, SR and Cho, JH and Cohen, A and Croitoru, K and Daly, MJ and Datta, LW and Deslandres, C and Duerr, RH and Dutridge, D and Ferguson, J and Fultz, J and Goyette, P and Greenberg, GR and Haritunians, T and Jobin, G and Katz, S and Lahaie, RG and McGovern, DP and Nelson, L and Ng, SM and Ning, K and Pare, P and Regueiro, MD and Rioux, JD and Ruggiero, E and Schumm, LP and Schwartz, M and Scott, R and Sharma, Y and Silverberg, MS and Spears, D and Steinhart, AH and Stempak, JM and Swoger, JM and Tsagarelis, C and ...
Scientific reports, ISSN 2045-2322, 2019, Volume 9, Issue 1, p. 10351
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 11/2011, Volume 84, Issue 5, p. 051113
The effect of noise on nonlinear systems is analyzed, considering the case of slow-fast systems. It is known that small noise perturbations can induce a... 
COHERENCE RESONANCE | NEURONS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Stochastic Processes | Nonlinear Dynamics | Kinetics
Journal Article
Physical Review Letters, ISSN 0031-9007, 03/2013, Volume 110, Issue 11, p. 118101
Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is... 
PHYSICS, MULTIDISCIPLINARY | DIMENSION | VARIANCE | Models, Neurological | Biomimetics | Neurons - physiology | Neural Networks (Computer) | Condensed Matter | Mathematics | Mathematical Physics | Physics | Other
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 2013, Volume 18, pp. 1 - 12
This paper is devoted to obtaining an averaging principle for systems of slow-fast stochastic differential equations, where the fast variable drift is... 
Averaging principle | Periodic averaging | Slow-fast | Inhomogeneous markov process | Stochastic differential equation | periodic averaging | STATISTICS & PROBABILITY | slow-fast | inhomogeneous Markov process | stochastic differential equation | averaging principle
Journal Article
IEEE Transactions on Neural Systems and Rehabilitation Engineering, ISSN 1534-4320, 04/2018, Volume 26, Issue 4, pp. 758 - 769
Journal Article
Neural Networks, ISSN 0893-6080, 04/2016, Volume 76, pp. 39 - 45
Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based... 
Lyapunov exponents | Mean field theory | Reservoir computing | Echo State Networks | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | CHAOS | GRADIENT DESCENT | MEAN-FIELD THEORY | NEURAL-NETWORK | SYSTEMS | COMPUTATION | LARGE DEVIATIONS | Humans | Algorithms | Neural Networks (Computer) | Neural networks | Networks | Recurrent neural networks | Reservoirs | Field theory | Spectra
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2015, Volume 92, Issue 3, p. 032802
In this work we study the dynamics of systems composed of numerous interacting elements interconnected through a random weighted directed graph, such as models... 
CHAOS | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | SYSTEMS | NOISE | PHYSICS, MATHEMATICAL | LARGE DEVIATIONS | Nonlinear Dynamics | Computer Simulation | Neural Networks (Computer) | Physics - Chaotic Dynamics
Journal Article
Toxicology Letters, ISSN 0378-4274, 10/2018, Volume 295, pp. S98 - S98
Journal Article
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 07/2015, Volume 307, pp. 42 - 60
In this article, we characterize the dynamics and absorption properties of a class of stochastic differential equations around singular points where both the... 
Saddle–node | Absorption properties | Stochastic pitchfork | Stochastic bifurcations | Hopf | Saddle-node | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | SYSTEMS | PHYSICS, MATHEMATICAL | BIFURCATION | Analysis | Numerical analysis
Journal Article
Advances in Applied Probability, ISSN 0001-8678, 9/2010, Volume 42, Issue 3, pp. 761 - 794
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 09/2017, Volume 353-354, pp. 20 - 30
Leaky integrate-and-fire (LIF) models are mean-field limits, with a large number of neurons, used to describe neural networks. We consider inhomogeneous... 
Learning rules | Integrate and fire | Fokker–Planck equation | Neural networks | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | INTEGRATE | Fokker-Planck equation | FIRE MODEL | PHYSICS, MATHEMATICAL | Neurons | Analysis | Analysis of PDEs | Mathematics
Journal Article
Mathematical Biosciences, ISSN 0025-5564, 06/2018, Volume 300, pp. 168 - 186
•A simplified mathematical model of somatic hypermutations is proposed.•The N-dimensional hypercube reflects the state-space of B-cell traits.•The prescription... 
Somatic hypermutation | Random walks on graphs | Hitting time | Hypercube | Mutational model | Evolutionary landscape | AFFINITY MATURATION | INSERTIONS | MATHEMATICAL-MODEL | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | DYNAMICS | DIVERSITY | Discovery and exploration | Models | Outer space | Analysis | Functional Analysis | Mathematics
Journal Article
Advances in Applied Probability, ISSN 0001-8678, 09/2010, Volume 42, Issue 3, pp. 761 - 794
In this paper we establish limit theorems for a class of stochastic hybrid systems (continuous deterministic dynamics coupled with jump Markov processes) in... 
Hodgkin-Huxley | Fluid limit | Kinetic model | Piecewise-deterministic Markov process | Neuron model | Stochastic ion channels | Morris-Lecar | Stochastic hybrid system | Langevin approximation | piecewise-deterministic Markov process | 60J75 | neuron model | stochastic ion channels | fluid limit | 92C45 | 92C20 | kinetic model | 60F17 | 60F05
Journal Article
Clinical Gastroenterology and Hepatology, ISSN 1542-3565, 04/2019, Volume 17, Issue 5, pp. 905 - 913
Acute severe ulcerative colitis (ASUC) is a life-threatening condition managed with intravenous steroids followed by infliximab, cyclosporine, or colectomy... 
Neural Network | IBD | Acute Severe Ulcerative Colitis | Prognostic Factor | INTRAVENOUS CYCLOSPORINE | SEVERE ATTACKS | INFLIXIMAB | GASTROENTEROLOGY & HEPATOLOGY | RESCUE THERAPY | Medical research | DNA microarrays | Algorithms | MicroRNA | Neural networks | Analysis | Mortality | Medicine, Experimental | Data mining | Ulcerative colitis
Journal Article