A generalized study of the distribution of buffer over calcium on a fractional dimension
Calcium is an essential element in our body and plays a vital role in moderating calcium signalling. Calcium is also called the second messenger. Calcium signalling depends on cytosolic calcium concentration. In this study, we focus on cellular calcium fluctuations with different buffers, including...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
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| Online Access: | http://dx.doi.org/10.1080/27690911.2023.2217323 |
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| author | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Sunil Dutt Purohit Dumitru Baleanu D. L. Suthar |
| author_facet | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Sunil Dutt Purohit Dumitru Baleanu D. L. Suthar |
| author_sort | Sanjay Bhatter |
| collection | DOAJ |
| description | Calcium is an essential element in our body and plays a vital role in moderating calcium signalling. Calcium is also called the second messenger. Calcium signalling depends on cytosolic calcium concentration. In this study, we focus on cellular calcium fluctuations with different buffers, including calcium-binding buffers, using the Hilfer fractional advection-diffusion equation for cellular calcium. Limits and start conditions are also set. By combining with intracellular free calcium ions, buffers reduce the cytosolic calcium concentration. The buffer depletes cellular calcium and protects against toxicity. Association, dissociation, diffusion, and buffer concentration are modelled. The solution of the Hilfer fractional calcium model is achieved through utilizing the integral transform technique. To investigate the influence of the buffer on the calcium concentration distribution, simulations are done in MATLAB 21. The results show that the modified calcium model is a function of time, position, and the Hilfer fractional derivative. Thus the modified Hilfer calcium model provides a richer physical explanation than the classical calcium model. |
| first_indexed | 2024-03-11T13:39:00Z |
| format | Article |
| id | doaj.art-064fd42681a44c6c9a38b7f0f7beca05 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:00Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
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| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-064fd42681a44c6c9a38b7f0f7beca052023-11-02T13:48:32ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2023.22173232217323A generalized study of the distribution of buffer over calcium on a fractional dimensionSanjay Bhatter0Kamlesh Jangid1Shyamsunder Kumawat2Sunil Dutt Purohit3Dumitru Baleanu4D. L. Suthar5Malaviya National Institute of Technology JaipurCentral University of RajasthanMalaviya National Institute of Technology JaipurRajasthan Technical UniversityCankaya UniversityWollo UniversityCalcium is an essential element in our body and plays a vital role in moderating calcium signalling. Calcium is also called the second messenger. Calcium signalling depends on cytosolic calcium concentration. In this study, we focus on cellular calcium fluctuations with different buffers, including calcium-binding buffers, using the Hilfer fractional advection-diffusion equation for cellular calcium. Limits and start conditions are also set. By combining with intracellular free calcium ions, buffers reduce the cytosolic calcium concentration. The buffer depletes cellular calcium and protects against toxicity. Association, dissociation, diffusion, and buffer concentration are modelled. The solution of the Hilfer fractional calcium model is achieved through utilizing the integral transform technique. To investigate the influence of the buffer on the calcium concentration distribution, simulations are done in MATLAB 21. The results show that the modified calcium model is a function of time, position, and the Hilfer fractional derivative. Thus the modified Hilfer calcium model provides a richer physical explanation than the classical calcium model.http://dx.doi.org/10.1080/27690911.2023.2217323buffercalcium concentrationhilfer fractional derivativelaplace transformfourier transform |
| spellingShingle | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Sunil Dutt Purohit Dumitru Baleanu D. L. Suthar A generalized study of the distribution of buffer over calcium on a fractional dimension Applied Mathematics in Science and Engineering buffer calcium concentration hilfer fractional derivative laplace transform fourier transform |
| title | A generalized study of the distribution of buffer over calcium on a fractional dimension |
| title_full | A generalized study of the distribution of buffer over calcium on a fractional dimension |
| title_fullStr | A generalized study of the distribution of buffer over calcium on a fractional dimension |
| title_full_unstemmed | A generalized study of the distribution of buffer over calcium on a fractional dimension |
| title_short | A generalized study of the distribution of buffer over calcium on a fractional dimension |
| title_sort | generalized study of the distribution of buffer over calcium on a fractional dimension |
| topic | buffer calcium concentration hilfer fractional derivative laplace transform fourier transform |
| url | http://dx.doi.org/10.1080/27690911.2023.2217323 |
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