Calcium waves with fast buffers and mechanical effects |
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Authors: | Bogdan Kaźmierczak Zbigniew Peradzyński |
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Institution: | (1) Department of Mathematics, National Chung Cheng University, 168, University Road, Min-Hsiung, Chia-Yi, 621, Taiwan;(2) Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand |
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Abstract: | In the paper we consider the existence of calcium travelling waves for systems with fast buffers. We prove the convergence
of the travelling waves to an asymptotic limit as the kinetic coefficients characterizing the interaction between calcium
and buffers tend to infinity. To be more precise, we prove the convergence of the speeds as well as the calcium component
concentration profile to the profile of the travelling wave of the reduced equation. Additionally, we take into account the
effect of coupling between the mechanical and chemical processes and show the existence as well the monotonicity of the profiles
of concentrations. This property guarantees their positivity. |
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Keywords: | |
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