c.lloyd@auckland.ac.nz
pancreatic beta cell
Lenbury et al.'s 2001 mathematical model of insulin kinetics.
endocrine
pancreas
insulin
beta cell
The University of Auckland, Auckland Bioengineering Institute
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Extended Model)
Lloyd
Catherine
May
keyword
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Basic Model)
The University of Auckland, Auckland Bioengineering Institute
I've added a piecewise equation for "z" such that it can never equal zero. This now solves the NaN problem generated by having a zero as a denominator.
2001-00-00 00:00
Yongwimon
Lenbury
Lenbury et al.'s 2001 mathematical model of insulin kinetics.
pancreatic beta cell
z
pancreatic beta cell density
Sitipong
Ruktamatakul
pancreas
insulin
beta cell
endocrine
25
59
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions
15
c.lloyd@auckland.ac.nz
The model now runs in PCEnv without producing "NaNs" but I'm still not sure it can recreate the published results.
Also, please note that this particular variant of the model is an extension of the basic core model. To the three variables described in the core model: plasma insulin concentration (x), glucose concentration (y) and the density of the pancreatic beta cells (z), we are adding a forth variable (u) which describes the temporal glucose absorption by the gastrointestinal tract.
2007-06-18T00:00:00+00:00
y
glucose
May
Lloyd
Catherine
The University of Auckland
Auckland Bioengineering Institute
May
Lloyd
Catherine
May
Catherine
Lloyd
I've added a piecewise equation for "z" such that it can never equal zero. This now solves the NaN problem generated by having a zero as a denominator.
x
insulin
insulin
x
This is the CellML description of Lenbury et al.'s 2001 mathematical model of insulin kinetics.
Ruktamatakul
Sitipong
2007-06-18T00:00:00+00:00
glucose
y
glucose absorption
u
Catherine Lloyd
This is the CellML description of Lenbury et al.'s 2001 mathematical model of insulin kinetics.
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions
59
25
15
Catherine Lloyd
pancreatic beta cell density
z
The University of Auckland
Auckland Bioengineering Institute
2007-09-03T13:56:05+12:00
11226623
11226623
BioSystems
keyword
Somkid
Amornsamarnkul
Amornsamarnkul
Somkid
BioSystems
Catherine Lloyd
Lenbury
Yongwimon
2001-00-00 00:00
Catherine Lloyd
Model now runs in PCEnv without generating NaNs - but I'm still not sure it can generate the published results!
2007-09-03T13:59:03+12:00