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