Study on bursting of pancreatic β cells in codimension-2 bifurcation regions

被引:2
|
作者
Yang Zhuo-Qin [1 ]
Guan Ting-Ting [1 ]
Gan Chun-Biao [2 ]
Zhang Jiao-Ying [1 ]
机构
[1] Beihang Univ, LMIB, Beijing 100083, Peoples R China
[2] Zhejiang Univ, Dept Mech Engn, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
bursting; fast/slow analysis; codimension-2; bifurcation; INSULIN-SECRETION; OSCILLATIONS; PATTERNS; SPIKING; CA2+;
D O I
10.7498/aps.60.110202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Electrical activities of insulin secretion in pancreatic islets are characterized by bursts of action potentials. With a simple but representative Vries-Sherman model, we determine the regions of different types of bursting in two-parameter plane through the two-parameter bifurcation analysis of the fast subsystem. Moreover, fast/slow analysis is used to reveal topological types of bursting patterns for different values of the parameter Vm and transition mechanisms between them.
引用
收藏
页数:6
相关论文
共 16 条
  • [1] Atwater I., 1980, BIOCH BIOPHYSICS PAN, P100
  • [2] TOPOLOGICAL AND PHENOMENOLOGICAL CLASSIFICATION OF BURSTING OSCILLATIONS
    BERTRAM, R
    BUTTE, MJ
    KIEMEL, T
    SHERMAN, A
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 1995, 57 (03) : 413 - 439
  • [3] MINIMAL MODEL FOR MEMBRANE OSCILLATIONS IN THE PANCREATIC BETA-CELL
    CHAY, TR
    KEIZER, J
    [J]. BIOPHYSICAL JOURNAL, 1983, 42 (02) : 181 - 189
  • [4] PULSATILE INSULIN-SECRETION IN ISOLATED RAT ISLETS
    CHOU, HF
    IPP, E
    [J]. DIABETES, 1990, 39 (01) : 112 - 117
  • [5] Dynamics analysis on neural firing patterns by symbolic approach
    Gao Zhi-Ying
    Lu Qi-Shao
    [J]. CHINESE PHYSICS, 2007, 16 (08): : 2479 - 2485
  • [6] Neural excitability, spiking and bursting
    Izhikevich, EM
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (06): : 1171 - 1266
  • [7] BURSTING ELECTRICAL-ACTIVITY IN PANCREATIC BETA-CELLS CAUSED BY CA2+-INACTIVATED AND VOLTAGE-INACTIVATED CA2+ CHANNELS
    KEIZER, J
    SMOLEN, P
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1991, 88 (09) : 3897 - 3901
  • [8] ATP-SENSITIVE POTASSIUM CHANNEL AND BURSTING IN THE PANCREATIC BETA-CELL - A THEORETICAL-STUDY
    KEIZER, J
    MAGNUS, G
    [J]. BIOPHYSICAL JOURNAL, 1989, 56 (02) : 229 - 242
  • [9] LONGO EA, 1991, J BIOL CHEM, V266, P9314
  • [10] OSCILLATORY INSULIN-SECRETION AFTER PANCREAS TRANSPLANT
    OMEARA, NM
    STURIS, J
    BLACKMAN, JD
    BYRNE, MM
    JASPAN, JB
    ROLAND, DC
    THISTLETHWAITE, JR
    POLONSKY, KS
    [J]. DIABETES, 1993, 42 (06) : 855 - 861