y
glucose
2007-06-18T00:00:00+00:00
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
15
25
keyword
x
insulin
Lenbury
Yongwimon
Catherine
Lloyd
May
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.
Amornsamarnkul
Somkid
BioSystems
insulin
beta cell
endocrine
pancreas
The University of Auckland
Auckland Bioengineering Institute
Ruktamatakul
Sitipong
beta cell
insulin
endocrine
pancreas
The University of Auckland, Auckland Bioengineering Institute
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Basic Model)
c.lloyd@auckland.ac.nz
11226623
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.
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions
25
59
15
Ruktamatakul
Sitipong
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Extended Model)
The University of Auckland, Auckland Bioengineering Institute
Lloyd
May
Catherine
2001-00-00 00:00
pancreatic beta cell
Lenbury et al.'s 2001 mathematical model of insulin kinetics.
c.lloyd@auckland.ac.nz
Amornsamarnkul
Somkid
x
insulin
11226623
pancreatic beta cell
Lenbury et al.'s 2001 mathematical model of insulin kinetics.
Catherine Lloyd
2007-06-18T00:00:00+00:00
Model now runs in PCEnv without generating NaNs - but I'm still not sure it can generate the published results!
Yongwimon
Lenbury
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.
This is the CellML description of Lenbury et al.'s 2001 mathematical model of insulin kinetics.
BioSystems
u
glucose absorption
keyword
Catherine Lloyd
glucose
y
z
pancreatic beta cell density
May
Catherine
Lloyd
2007-09-03T13:56:05+12:00
pancreatic beta cell density
z
2001-00-00 00:00
Catherine Lloyd
Lloyd
May
Catherine
2007-09-03T13:59:03+12:00
Auckland Bioengineering Institute
The University of Auckland
Catherine Lloyd