caa a22 4500 445330228 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00285-009-0323-2 doi (NATIONALLICENCE)springer-10.1007/s00285-009-0323-2 Calcium waves with fast buffers and mechanical effects [Elektronische Daten] [Bogdan Kaźmierczak, Zbigniew Peradzyński] 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. Springer-Verlag, 2010 Calcium waves nationallicence Reaction-diffusion systems nationallicence Mechanochemical coupling nationallicence Kaźmierczak Bogdan Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland aut Peradzyński Zbigniew Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland aut Journal of Mathematical Biology Springer-Verlag 62/1(2011-01-01), 1-38 0303-6812 62:1<1 2011 62 285 https://doi.org/10.1007/s00285-009-0323-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-009-0323-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kaźmierczak Bogdan Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland aut NATIONALLICENCE 700 1- Peradzyński Zbigniew Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/1(2011-01-01), 1-38 0303-6812 62:1<1 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer