TY - JOUR
T1 - Traveling waves in the discrete fast buffered bistable system
AU - Tsai, Je-Chiang
AU - Sneyd, James
PY - 2007/11/1
Y1 - 2007/11/1
N2 - We study the existence and uniqueness of traveling wave solutions of the discrete buffered bistable equation. Buffered excitable systems are used to model, among other things, the propagation of waves of increased calcium concentration, and discrete models are often used to describe the propagation of such waves across multiple cells. We derive necessary conditions for the existence of waves, and, under some restrictive technical assumptions, we derive sufficient conditions. When the wave exists it is unique and stable.
AB - We study the existence and uniqueness of traveling wave solutions of the discrete buffered bistable equation. Buffered excitable systems are used to model, among other things, the propagation of waves of increased calcium concentration, and discrete models are often used to describe the propagation of such waves across multiple cells. We derive necessary conditions for the existence of waves, and, under some restrictive technical assumptions, we derive sufficient conditions. When the wave exists it is unique and stable.
KW - Bistable
KW - Buffer
KW - Calcium
KW - Traveling wave
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U2 - 10.1007/s00285-007-0097-3
DO - 10.1007/s00285-007-0097-3
M3 - Article
C2 - 17530253
AN - SCOPUS:35448991378
VL - 55
SP - 605
EP - 652
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
SN - 0303-6812
IS - 5-6
ER -