metaid_0000014
notes: For subject1, lambda_1=0.0125; subject2, lambda_1=0.0122; subject3, lambda_1=0.0269
is: SBO:0000002
constant: true
value: 0.0125
name: lambda_1
type: Parameter

metaid_0000012
notes: For subject1, 2 and 3, beta= 1000000
is: SBO:0000002
constant: true
value: 1000000.0
name: beta
type: Parameter

metaid_0000007
is: SBO:0000002
constant: false
value: 9.8436755
name: k
type: Parameter

metaid_0000010
notes: For subject1, m1=112.52; subject2, m1=150.0; subject3, m1=90.857
is: SBO:0000002
constant: true
value: 112.52
name: m1
type: Parameter

metaid_0000016
constant: false
value: 0.04945
name: A
type: Parameter

metaid_0000009
constant: false
value: 170.0
name: m_Ca
type: Parameter

metaid_0000018
constant: false
value: 1.2159
name: S
type: Parameter

metaid_0000005
type: Species
initial concentration: 0.0
is: SBO:0000245
boundary condition: false
initial amount: NaN
constant: false
is version of: P01270
name: PTH_in_PTG
has only substance units: false
in compartment: metaid_0000003

metaid_0000038
notes: For subject1, x2_max=14.043; subject2, x2_max=17.871; subject3, x2_max=15.199
constant: true
value: 14.043
name: x2_max
type: Parameter

metaid_0000021
notes: For subject1, Ca1=0.2624; subject2, Ca1=0.2267; subject3, Ca1=0.2132
constant: true
value: 0.2624
name: Ca1
type: Parameter

metaid_0000003
is part of: BTO:0000997
is: SBO:0000290
constant: true
size: 1.0
spatial dimensions: 3.0
name: PTG_pool
type: Compartment

metaid_0000036
notes: For subject1, x2_n=6.629; subject2, x2_n=9.5894; subject3, x2_n=5.46
constant: true
value: 6.629
name: x2_n
type: Parameter

BIOMD0000000277
parameter: metaid_0000017
rule: metaid_0000040
parameter: metaid_0000035
type: SBMLModel
species: metaid_0000019
rule: metaid_0000027
creator:
  ORG:
    orgname: Department of Mechanical and Industrial Engineering, University of Massachusetts, Amherst, MA 01003, USA
  n:
    given: Rajiv P
    family: Shrestha
rule: metaid_0000028
parameter: metaid_0000010
name: Shrestha2010_HyperCalcemia_PTHresponse
curated: true
parameter: metaid_0000009
parameter: metaid_0000011
is described by: http://identifiers.org/pubmed/20406649
parameter: metaid_0000023
rule: metaid_0000039
created:
  W3 CDTF: Mon Nov 15 14:42:27 GMT 2010
parameter: metaid_0000018
time units: metaid_0000004
volume units: 773761
is version of: GO:0071107
area units: metaid_0000005
parameter: metaid_0000020
length unit: 879216
parameter: metaid_0000036
parameter: metaid_0000015
species: metaid_0000006
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Vijayalakshmi
    family: Chelliah
species: metaid_0000005
substance units: metaid_0000060
parameter: metaid_0000012
modified:
  W3 CDTF: Tue May 15 22:56:24 BST 2012
notes: This a model from the article: A mathematical model of parathyroid hormone response to acute changes in plasma ionized calcium concentration in humans. Shrestha RP, Hollot CV, Chipkin SR, Schmitt CP, Chait Y. Math Biosci. 2010 Jul;226(1):46-57. 20406649 , Abstract: A complex bio-mechanism, commonly referred to as calcium homeostasis, regulates plasma ionized calcium (Ca(2+)) concentration in the human body within a narrow range which is crucial for maintaining normal physiology and metabolism. Taking a step towards creating a complete mathematical model of calcium homeostasis, we focus on the short-term dynamics of calcium homeostasis and consider the response of the parathyroid glands to acute changes in plasma Ca(2+) concentration. We review available models, discuss their limitations, then present a two-pool, linear, time-varying model to describe the dynamics of this calcium homeostasis subsystem, the Ca-PTH axis. We propose that plasma PTH concentration and plasma Ca(2+) concentration bear an asymmetric reverse sigmoid relation. The parameters of our model are successfully estimated based on clinical data corresponding to three healthy subjects that have undergone induced hypocalcemic clamp tests. In the first validation of this kind, with parameters estimated separately for each subject we test the model's ability to predict the same subject's induced hypercalcemic clamp test responses. Our results demonstrate that a two-pool, linear, time-varying model with an asymmetric reverse sigmoid relation characterizes the short-term dynamics of the Ca-PTH axis. The model corresponds to hypercalcemic clamp test explained in the paper and parameter values used in the model are that of "subject 1". In order to obtain the plots corresponding to "subject 2" and "subject 3" the following parameters to be changed: lambda_1, lambda_2, m1, m2, R, beta, x1_n, x2_n, x2_min, x2_max, t0, Ca0, Ca1 and alpha. parameter Subject 1 Subject 2 Subject 3 lambda_1 0.0125 0.0122 0.0269 lamb…
is: MODEL1011170002
parameter: metaid_0000013
parameter: metaid_0000007
rule: metaid_0000025
compartment: metaid_0000003
rule: metaid_0000026
parameter: metaid_0000021
parameter: metaid_0000037
parameter: metaid_0000016
occurs in: http://identifiers.org/taxonomy/9606
rule: metaid_0000034
rule: metaid_0000029
parameter: metaid_0000014
parameter: metaid_0000008
rule: metaid_0000024
compartment: metaid_0000004
parameter: metaid_0000022
parameter: metaid_0100038
parameter: metaid_0000038

metaid_0000013
notes: For subject1, R=1.2162; subject2, R=1.1627; subject3, R=1.1889
is: SBO:0000002
constant: true
value: 1.2162
name: R
type: Parameter

metaid_0000023
notes: For subject1, alpha=0.0569; subject2, alpha=0.0563; subject3, alpha=0.0421
constant: true
value: 0.0569
name: alpha
type: Parameter

metaid_0000008
constant: false
value: 170.0
name: lambda_Ca
type: Parameter

metaid_0000011
notes: For subject 1, 2, and 3, m2=15.0
is: SBO:0000002
constant: true
value: 15.0
name: m2
type: Parameter

metaid_0000017
constant: false
value: 4.9E-4
name: B
type: Parameter

metaid_0000015
notes: For subject1, lambda_2=0.5595; subject2, lambda_2=0.4642; subject3, lambda_2=0.4935
is: SBO:0000002
constant: true
value: 0.5595
name: lambda_2
type: Parameter

metaid_0000019
initial concentration: 1.22
is version of: C00076
constant: false
is: SBO:0000247
has only substance units: false
initial amount: NaN
type: Species
name: Ca_in_Plasma
is version of: CHEBI:29108
in compartment: metaid_0000004
boundary condition: false

metaid_0000022
notes: For subject1, t0=575; subject2, t0=575; subject3, t0=575
constant: true
value: 575.0
name: t0
type: Parameter

metaid_0000037
notes: For subject1, x2_min=0.6697; subject2, x2_min=1.4813; subject3, x2_n=0.8287
constant: true
value: 0.6697
name: x2_min
type: Parameter

metaid_0000020
notes: For subject1, Ca0=1.22; subject2, Ca0=1.2513; subject3, Ca0=1.2480
constant: true
value: 1.22
name: Ca0
type: Parameter

metaid_0000006
initial concentration: 0.0
in compartment: metaid_0000004
name: PTH_in_Plasma
constant: false
initial amount: NaN
is version of: P01270
has only substance units: false
type: Species
boundary condition: false
is: SBO:0000245

metaid_0000035
notes: For subject1, x1_n=490.78; subject2, x1_n=452.82; subject3, x1_n=298.82
constant: true
value: 490.78
name: x1_n
type: Parameter

metaid_0000004
is version of: BTO:0000131
is: SBO:0000290
constant: true
size: 1.0
spatial dimensions: 3.0
name: Plasma_pool
type: Compartment

metaid_0100038
constant: true
value: 1.255
name: Ca0_baseline
type: Parameter