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In the paper we find explicit formulae for heteroclinic travelling wave solutions in the system of equations describing the dynamics of cytosolic calcium concentration and the accompanying mechanical phenomena.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
121--133
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
autor
- Institute of Fundamental Technological Research Polish Academy of Science, Pawińskiego 5b, 02-106 Warszawa, Poland, bkazmier@ippt.gov.pl
Bibliografia
- 1. G.C. CRUYWAGEN, J.D. MURRAY. On a tissue interaction model for skin pattern formation, Journal of Nonlinear Science, 2, 217-240, 1992.
- 2. M. FALCKE, Reading the patterns in living cells - the physics of Ca signaling, Advances in Physics, 53, 255-440, 2004.
- 3. Y.C. FUNG, Foundations of Solid Mechanics, Prentice-Hall, 1965.
- 4. Y.C. FUNG, Biomechanics: Mechanical Properties of Living Tissues, Springer, 1993.
- 5. B. KAŹMIERCZAK, Z. PERADZYŃSKI, Calcium waves with fast buffers and mechano-chemical couplings, Journal of Mathematical Biology, DOI 10.1007/s00285-009-0323-2.
- 6. J. KEENER, J. SNEYD, Mathematical Physiology, Springer, 1998.
- 7. J. D. MURRAY, Mathematical Biology, 2nd ed., Springer, Berlin 1993.
- 8. Z. PERADZYNSKI, Diffusion of calcium in biological tissues and accompanied mecha.no-chemical effects, submitted to Archives of Mechanics.
- 9. K. PIECHÓR, The shock wave structure by model equations of capillarity. Archives of Mechanics, 49, 767-790, 1997.
- 10.A. VOLPERT, V. VOLPERT, V. VOLPERT, Traveling Wave Solutions of Parabolic Systems, AMS, Providence 1994.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0037-0017