| Title |
A two-current model for the dynamics of cardiac membrane
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, September 2003
|
| DOI | 10.1016/s0092-8240(03)00041-7 |
| Pubmed ID | |
| Authors |
Colleen C. Mitchell, David G. Schaeffer |
| Abstract |
In this paper we introduce and study a model for electrical activity of cardiac membrane which incorporates only an inward and an outward current. This model is useful for three reasons: (1) Its simplicity, comparable to the FitzHugh-Nagumo model, makes it useful in numerical simulations, especially in two or three spatial dimensions where numerical efficiency is so important. (2) It can be understood analytically without recourse to numerical simulations. This allows us to determine rather completely how the parameters in the model affect its behavior which in turn provides insight into the effects of the many parameters in more realistic models. (3) It naturally gives rise to a one-dimensional map which specifies the action potential duration as a function of the previous diastolic interval. For certain parameter values, this map exhibits a new phenomenon--subcritical alternans--that does not occur for the commonly used exponential map. |
Mendeley readers
The data shown below were compiled from readership statistics for 121 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 2 | 2% |
| United States | 1 | <1% |
| Ireland | 1 | <1% |
| France | 1 | <1% |
| Unknown | 116 | 96% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 34 | 28% |
| Researcher | 28 | 23% |
| Professor > Associate Professor | 8 | 7% |
| Student > Doctoral Student | 7 | 6% |
| Professor | 7 | 6% |
| Other | 19 | 16% |
| Unknown | 18 | 15% |
| Readers by discipline | Count | As % |
|---|---|---|
| Engineering | 31 | 26% |
| Mathematics | 17 | 14% |
| Computer Science | 12 | 10% |
| Physics and Astronomy | 11 | 9% |
| Medicine and Dentistry | 11 | 9% |
| Other | 15 | 12% |
| Unknown | 24 | 20% |
Attention Score in Context
This research output has an Altmetric Attention Score of 6. 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 04 August 2020.
All research outputs
#5,447,195
of 25,374,917 outputs
Outputs from Bulletin of Mathematical Biology
#180
of 1,286 outputs
Outputs of similar age
#9,608
of 53,936 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#1
of 1 outputs
Altmetric has tracked 25,374,917 research outputs across all sources so far. Compared to these this one has done well and is in the 75th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 1,286 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 5.2. This one has done well, scoring higher than 84% of its peers.
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