Calcium waves with mechano-chemical couplings
As follows from experiments, waves ofcalcium concentration in biological tissuescan be easily excited by a local mechanical stimulation.Therefore the complete theory of calcium waves should alsotake into account couplingbetween mechanical and chemical processes.In this paper we consider the existenc...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2013-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.743 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590157875773440 |
|---|---|
| author | Bogdan Kazmierczak Zbigniew Peradzynski |
| author_facet | Bogdan Kazmierczak Zbigniew Peradzynski |
| author_sort | Bogdan Kazmierczak |
| collection | DOAJ |
| description | As follows from experiments, waves ofcalcium concentration in biological tissuescan be easily excited by a local mechanical stimulation.Therefore the complete theory of calcium waves should alsotake into account couplingbetween mechanical and chemical processes.In this paper we consider the existenceof travelling waves for buffered systems, as in [22], completed, however,by an equation for mechanical equilibrium and respective mechanochemical coupling terms.Thus the considered, coupled system consists of reaction-diffusion equations (forthe calcium and buffers concentrations) and equations for thebalance of mechanical forces. |
| format | Article |
| id | doaj-art-e9c03d20345140049e8f233cfec4ef11 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e9c03d20345140049e8f233cfec4ef112025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110374375910.3934/mbe.2013.10.743Calcium waves with mechano-chemical couplingsBogdan Kazmierczak0Zbigniew Peradzynski1Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiego 5B, 02-106 WarsawInstitute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiego 5B, 02-106 WarsawAs follows from experiments, waves ofcalcium concentration in biological tissuescan be easily excited by a local mechanical stimulation.Therefore the complete theory of calcium waves should alsotake into account couplingbetween mechanical and chemical processes.In this paper we consider the existenceof travelling waves for buffered systems, as in [22], completed, however,by an equation for mechanical equilibrium and respective mechanochemical coupling terms.Thus the considered, coupled system consists of reaction-diffusion equations (forthe calcium and buffers concentrations) and equations for thebalance of mechanical forces.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.743mechanochemical coupling.reaction-diffusion systemscalcium waves |
| spellingShingle | Bogdan Kazmierczak Zbigniew Peradzynski Calcium waves with mechano-chemical couplings Mathematical Biosciences and Engineering mechanochemical coupling. reaction-diffusion systems calcium waves |
| title | Calcium waves with mechano-chemical couplings |
| title_full | Calcium waves with mechano-chemical couplings |
| title_fullStr | Calcium waves with mechano-chemical couplings |
| title_full_unstemmed | Calcium waves with mechano-chemical couplings |
| title_short | Calcium waves with mechano-chemical couplings |
| title_sort | calcium waves with mechano chemical couplings |
| topic | mechanochemical coupling. reaction-diffusion systems calcium waves |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.743 |
| work_keys_str_mv | AT bogdankazmierczak calciumwaveswithmechanochemicalcouplings AT zbigniewperadzynski calciumwaveswithmechanochemicalcouplings |