- ►diabetesjournals.org N Pørksen, M Hollingdal, C Juhl, P Butler, JD Veldhuis, … - Diabetes, 2002 - Am Diabetes Assoc Insulin concentrations oscillate at a periodicity of 5–15 min per oscillation. These oscillations
are due to coordinate insulin secretory bursts, from millions of islets. The generation of common
secretory bursts requires strong within-islet and within-pancreas coordination to ... Cited by 71 - Related articles - BL Direct - All 4 versions
N Pørksen - Diabetologia, 2002 - Springer In 1922, Karen Hansen [1] measured two series of blood glucose concentrations and reported
oscilla- tions in the peripheral concentrations of this sub- strate, results which were validated
by simultaneous sampling from two sites to exclude the possibility Cited by 64 - Related articles - BL Direct - All 6 versions
- ►psu.edu [PDF] J Li, Y Kuang, CC Mason - Journal of theoretical biology, 2006 - Elsevier In the glucose–insulin regulatory system, ultradian insulin secretory oscillations are observed
to have a period of 50–150 min. After pioneering work traced back to the 1960s, several mathematical
models have been proposed during the last decade to model these ultradian oscillations ... Cited by 25 - Related articles - All 8 versions
- ►diabetesjournals.org C Simon, G Brandenberger - Diabetes, 2002 - Am Diabetes Assoc Ultradian rhythmicity appears to be characteristic of several endocrine systems. As described
for other hormones, insulin release is a multioscillatory process with rapid pulses of about 10
min and slower ultradian oscillations (50–120 min). The mechanisms underlying the ... Cited by 28 - Related articles - BL Direct - All 6 versions
J Li, Y Kuang, B Li - … and Continuous Dynamical Systems Series B, 2001 - math.louisville.edu Abstract. In the last three decades, several models on the interaction of glucose and insulin following
the intra venous glucose tolerance test (IVGTT) have appeared in the literature. One of the mostly
used one is generally known as the “minimal model” which was first published in 1979 ... Cited by 31 - Related articles - View as HTML - BL Direct - All 10 versions
- ►psu.edu [PDF] B Topp, K Promislow, G Devries, RM Miura, DT … - Journal of Theoretical …, 2000 - Elsevier Diabetes is a disease of the glucose regulatory system that is associated with increased morbidity
and early mortality. The primary variables of this system are β -cell mass, plasma insulin
concentrations, and plasma glucose concentrations. Existing mathematical models of ... Cited by 56 - Related articles - BL Direct - All 8 versions
- ►uci.edu [PDF] IVAM TOLIĆ, E Mosekilde, J Sturis - Journal of Theoretical Biology, 2000 - Elsevier A mathematical model of the insulin–glucose feedback regulation in man is used to examine
the effects of an oscillatory supply of insulin compared to a constant supply at the same average
rate. We show that interactions between the oscillatory insulin supply and the receptor ... Cited by 50 - Related articles - BL Direct - All 6 versions
P Gilon, MA Ravier, JC Jonas, JC Henquin - Diabetes, 2002 - Am Diabetes Assoc The mechanisms driving the pulsatility of insulin secretion in vivo and in vitro are still
unclear. Because glucose metabolism and changes in cytosolic free Ca 2+ ([Ca 2+ ] c ) in β-cells
play a key role in the control of insulin secretion, and because oscillations of these two ... Cited by 50 - Related articles - BL Direct - All 5 versions
CS Nunemaker, M Zhang, DH Wasserman, OP … - Diabetes, 2005 - Am Diabetes Assoc Pulsatile insulin secretion in vivo is believed to be derived, in part, from the intrinsic
glucose-dependent intracellular calcium concentration ([Ca 2+ ] i ) pulsatility of individual
islets. In isolation, islets display fast, slow, or mixtures of fast and slow [Ca 2+ ] i ... Cited by 24 - Related articles - BL Direct - All 10 versions
- ►olin.edu [PDF] J Sturis, KS Polonsky, E Mosekilde, E … - American Journal of …, 1991 - Am Physiological Soc STURIS, JEPPE, KENNETH S. POLONSKY, ERIK MOSEKILDE, AND EVE VAN CAUTER. Computer
model for mechanisms un- derlying ultradian oscillations of insulin and glucose. Am. J.
Physiol. 260 (Endocrinol. Metab. 23): E801-E809, 1991.-Os- cillations in human insulin ... Cited by 72 - Related articles - All 4 versions
