| Title |
Uncertainty Propagation in Nerve Impulses Through the Action Potential Mechanism
|
|---|---|
| Published in |
The Journal of Mathematical Neuroscience, January 2015
|
| DOI | 10.1186/2190-8567-5-3 |
| Pubmed ID | |
| Authors |
Aldemar Torres Valderrama, Jeroen Witteveen, Maria Navarro, Joke Blom |
| Abstract |
We investigate the propagation of probabilistic uncertainty through the action potential mechanism in nerve cells. Using the Hodgkin-Huxley (H-H) model and Stochastic Collocation on Sparse Grids, we obtain an accurate probabilistic interpretation of the deterministic dynamics of the transmembrane potential and gating variables. Using Sobol indices, out of the 11 uncertain parameters in the H-H model, we unravel two main uncertainty sources, which account for more than 90 % of the fluctuations in neuronal responses, and have a direct biophysical interpretation. We discuss how this interesting feature of the H-H model allows one to reduce greatly the probabilistic degrees of freedom in uncertainty quantification analyses, saving CPU time in numerical simulations and opening possibilities for probabilistic generalisation of other deterministic models of great importance in physiology and mathematical neuroscience. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Mexico | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 17 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 6% |
| Unknown | 16 | 94% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 7 | 41% |
| Researcher | 3 | 18% |
| Student > Bachelor | 2 | 12% |
| Other | 1 | 6% |
| Student > Doctoral Student | 1 | 6% |
| Other | 1 | 6% |
| Unknown | 2 | 12% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 2 | 12% |
| Chemical Engineering | 2 | 12% |
| Physics and Astronomy | 2 | 12% |
| Engineering | 2 | 12% |
| Computer Science | 2 | 12% |
| Other | 4 | 24% |
| Unknown | 3 | 18% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 19 March 2015.
All research outputs
#15,327,280
of 22,796,179 outputs
Outputs from The Journal of Mathematical Neuroscience
#35
of 80 outputs
Outputs of similar age
#209,046
of 352,543 outputs
Outputs of similar age from The Journal of Mathematical Neuroscience
#2
of 3 outputs
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