PMID: 23214536Dec 12, 2012Paper

Markov chain Monte Carlo approach to parameter estimation in the FitzHugh-Nagumo model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Anders Chr JensenOmiros Papaspiliopoulos

Abstract

Excitability is observed in a variety of natural systems, such as neuronal dynamics, cardiovascular tissues, or climate dynamics. The stochastic FitzHugh-Nagumo model is a prominent example representing an excitable system. To validate the practical use of a model, the first step is to estimate model parameters from experimental data. This is not an easy task because of the inherent nonlinearity necessary to produce the excitable dynamics, and because the two coordinates of the model are moving on different time scales. Here we propose a Bayesian framework for parameter estimation, which can handle multidimensional nonlinear diffusions with large time scale separation. The estimation method is illustrated on simulated data.

References

Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Lindner, L Schimansky-Geier
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Lindner, L Schimansky-Geier
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R E Lee DeVilleCyrill B Muratov
Apr 21, 2006·Journal of Neurophysiology·Quentin J M HuysLiam Paninski
May 9, 2009·PLoS Computational Biology·Quentin J M Huys, Liam Paninski
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hao Wu, Frank Noé
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R HindriksA W van der Vaart
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David Kleinhans
May 25, 2012·Journal of Mathematical Biology·Susanne Ditlevsen, Priscilla Greenwood

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Spatio-Temporal Regulation of DNA Repair

DNA repair is a complex process regulated by several different classes of enzymes, including ligases, endonucleases, and polymerases. This feed focuses on the spatial and temporal regulation that accompanies DNA damage signaling and repair enzymes and processes.

Glut1 Deficiency

Glut1 deficiency, an autosomal dominant, genetic metabolic disorder associated with a deficiency of GLUT1, the protein that transports glucose across the blood brain barrier, is characterized by mental and motor developmental delays and infantile seizures. Follow the latest research on Glut1 deficiency with this feed.

Hereditary Sensory Autonomic Neuropathy

Hereditary Sensory Autonomic Neuropathies are a group of inherited neurodegenerative disorders characterized clinically by loss of sensation and autonomic dysfunction. Here is the latest research on these neuropathies.

Separation Anxiety

Separation anxiety is a type of anxiety disorder that involves excessive distress and anxiety with separation. This may include separation from places or people to which they have a strong emotional connection with. It often affects children more than adults. Here is the latest research on separation anxiety.

Neural Activity: Imaging

Imaging of neural activity in vivo has developed rapidly recently with the advancement of fluorescence microscopy, including new applications using miniaturized microscopes (miniscopes). This feed follows the progress in this growing field.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Related Papers

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
V Perez-MunuzuriJ M Sancho
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S BrugioniS Boccaletti
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sang-Gui Lee, Seunghwan Kim
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
S BrandstetterE Schöll
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Matjaz Perc
© 2021 Meta ULC. All rights reserved