TITLE

Chaotic synchronization in a system of two coupled β-cells

AUTHOR(S)
Lading, Brian; Mosekilde, Erik; Yanchuk, Sergiy; Maistrenko, Yuri
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p209
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Considering two identical, coupled chaotic oscillators describing the spiking behavior of pancreatic β-cells, this contribution examines the bifurcations through which low-periodic orbits embedded in the synchronized chaotic state lose their transverse stability and produce the characteristic picture of a riddled basin of attraction. We also discuss different types of locally and globally riddled basins that arise for different combinations of coupling parameters. © 2000 American Institute of Physics.
ACCESSION #
6028559

 

Related Articles

  • Injection locking of an electronic maser in the hard excitation mode. Yakunina, K. A.; Kuznetsov, A. P.; Ryskin, N. M. // Physics of Plasmas;215, Vol. 22 Issue 11, p1 

    The phenomenon of hard excitation is natural for many electronic oscillators. In particular, in a gyrotron, a maximal efficiency is often attained in the hard excitation regime. In this paper, we study the injection-locking phenomena using two models of an electronic maser in the hard excitation...

  • Raised proinsulin concentration as early indicator of Beta cell dysfunction. William, D.R. Rhys; Byrne, Christopher; Clark, Penelope M.S.; Cox, Lorna; Day, Nicholas E.; Rayman, Gerry; Wang, Tim; Hales, C. Nicholas // BMJ: British Medical Journal (International Edition);7/13/91, Vol. 303 Issue 6794, p95 

    Examines the accuracy of raised proinsulin concentration to indicate beta cell dysfunction. Increase fasting ratio of total proinsulin-like molecules to total proinsulin-like molecules with insulin; Use of hexokinase method in measuring plasma glucose concentration; Similarity in the basal...

  • Diabetes, Insulin Secretion, and the Pancreatic Beta-Cell Mitochondrion.  // New England Journal of Medicine;2/21/2002, Vol. 346 Issue 8, p634 

    A correction to the article "Diabetes, Insulin Secretion, and the Pancreatic Beta-Cell Mitochondrion," that was published in the December 13, 2001 issue is presented.

  • β-Cell Neogenesis During Prolonged Hyperglycemia in Rats. Lipsett, Mark; Finegood, Diane T // Diabetes;Jun2002, Vol. 51 Issue 6, p1834 

    β-cell neogenesis from ductal precursors, and possibly from other pancreatic cell types, contributes to the expansion of β-cell mass during development and after diabetogenic insults in rodents. Using a mathematical model-based analysis of β-cell mass, replication, and size, we recently...

  • Abnormal insulin response to glucose following treatment for Wilms' tumor in childhood. Cicognani, A.; Cacciari, E.; Mancini, A. F.; Pasini, A.; Salardi, S.; Salmi, S.; Gualandi, S.; Paolucci, G. // European Journal of Pediatrics;1997, Vol. 156 Issue 5, p371 

    To determine whether β-cell function could be impaired by the treatment for Wilms' tumour (WT) in childhood, we investigated the insulin secretion of 44 survivors of WT (22 males) with a median off-treatment follow up of 8.3 years (range 1–19.8). All patients had an intravenous glucose...

  • Meglitinide Analogues in the Treatment of Type 2 Diabetes Mellitus. Landgraf, R. // Drugs & Aging;2000, Vol. 17 Issue 5, p411 

    Type 2 diabetes mellitus is a complex heterogenous metabolic disorder in which peripheral insulin resistance and impaired insulin release are the main pathogenetic factors. The rapid response of the pancreatic β-cells to glucose is already markedly disturbed in the early stages of type 2...

  • proinsulin.  // Taber's Cyclopedic Medical Dictionary (2009);2009, Issue 21, p1902 

    A definition of the term "proinsulin," referring to a precursor of insulin produced in the beta cells of the pancreas, is presented.

  • Overexpression of Metallothionein in Pancreatic B-Cells Reduces Streptozotocin-Induced DNA Damage and Diabetes. Chen, Hainan; Carlson, Edward C.; Pellet, Lori; Moritz, Jon T.; Epstein, Paul N. // Diabetes;Sep2001, Vol. 50 Issue 9, p2040 

    Investigates the implication of the overexpression of Metallothionein (MT) for the pancreatic beta-cells. Influence of reactive oxygen species release on deoxyribonucleic acid (DNA) damage; Role of MT in DNA damage protection; Antioxidant activity of MT.

  • Correction: Mathematical Modeling of Heterogeneous Electrophysiological Responses in Human β-Cells.  // PLoS Computational Biology;Feb2014, Vol. 10 Issue 2, p1 

    A correction to the article "Mathematical Modeling of Heterogeneous Electrophysiological Responses in Human β-Cells" that was published in the previous issue is presented.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics