A bidomain threshold model of propagating calcium waves
We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travelling wave solutions to probe the dependence of Ca w...
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| Format: | Article |
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Springer Verlag
2008
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| Online Access: | https://eprints.nottingham.ac.uk/683/ |
| _version_ | 1848790461745987584 |
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| author | Thul, Ruediger Smith, G.D. Coombes, Stephen |
| author_facet | Thul, Ruediger Smith, G.D. Coombes, Stephen |
| author_sort | Thul, Ruediger |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travelling wave solutions to probe the dependence of Ca wave speed on physiologically important parameters such as the threshold for Ca release from the endoplasmic reticulum (ER) to the cytosol, the rate of Ca resequestration from the cytosol to the ER, and the total [Ca] (cytosolic plus ER). Interestingly, linear stability analysis of the bidomain fire-diffuse-fire model predicts the onset of dynamic wave instabilities leading to the emergence of Ca waves that propagate in a back-and-forth manner. Numerical simulations are used to confirm the presence of these so-called "tango waves" and the dependence of Ca wave speed on the total [Ca].
The original publication is available at www.springerlink.com (Journal of Mathematical Biology) |
| first_indexed | 2025-11-14T18:12:59Z |
| format | Article |
| id | nottingham-683 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:59Z |
| publishDate | 2008 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-6832020-05-04T20:27:21Z https://eprints.nottingham.ac.uk/683/ A bidomain threshold model of propagating calcium waves Thul, Ruediger Smith, G.D. Coombes, Stephen We present a bidomain fire-diffuse-fire model that facilitates mathematical analysis of propagating waves of elevated intracellular calcium (Ca) in living cells. Modelling Ca release as a threshold process allows the explicit construction of travelling wave solutions to probe the dependence of Ca wave speed on physiologically important parameters such as the threshold for Ca release from the endoplasmic reticulum (ER) to the cytosol, the rate of Ca resequestration from the cytosol to the ER, and the total [Ca] (cytosolic plus ER). Interestingly, linear stability analysis of the bidomain fire-diffuse-fire model predicts the onset of dynamic wave instabilities leading to the emergence of Ca waves that propagate in a back-and-forth manner. Numerical simulations are used to confirm the presence of these so-called "tango waves" and the dependence of Ca wave speed on the total [Ca]. The original publication is available at www.springerlink.com (Journal of Mathematical Biology) Springer Verlag 2008-04 Article PeerReviewed Thul, Ruediger, Smith, G.D. and Coombes, Stephen (2008) A bidomain threshold model of propagating calcium waves. Journal of Mathematical Biology, 56 (4). pp. 435-463. ISSN 1432-1416 Bidomain models Calcium waves Stability Wave bifurcation http://dx.doi.org/10.1007/s00285-007-0123-5 doi:10.1007/s00285-007-0123-5 doi:10.1007/s00285-007-0123-5 |
| spellingShingle | Bidomain models Calcium waves Stability Wave bifurcation Thul, Ruediger Smith, G.D. Coombes, Stephen A bidomain threshold model of propagating calcium waves |
| title | A bidomain threshold model of propagating calcium waves |
| title_full | A bidomain threshold model of propagating calcium waves |
| title_fullStr | A bidomain threshold model of propagating calcium waves |
| title_full_unstemmed | A bidomain threshold model of propagating calcium waves |
| title_short | A bidomain threshold model of propagating calcium waves |
| title_sort | bidomain threshold model of propagating calcium waves |
| topic | Bidomain models Calcium waves Stability Wave bifurcation |
| url | https://eprints.nottingham.ac.uk/683/ https://eprints.nottingham.ac.uk/683/ https://eprints.nottingham.ac.uk/683/ |