BIOMD0000000276
type: SBMLModel
compartment: metaid_0000003
parameter: metaid_0000011
parameter: metaid_0000017
parameter: metaid_0000036
rule: metaid_0000028
parameter: metaid_0000035
area units: metaid_0000005
parameter: metaid_0000022
volume units: 773761
name: Shrestha2010_HypoCalcemia_PTHresponse
creator:
  ORG:
    orgname: Department of Mechanical and Industrial Engineering, University of Massachusetts, Amherst, MA 01003, USA
  n:
    given: Rajiv P
    family: Shrestha
rule: metaid_0000039
rule: metaid_0000025
parameter: metaid_0000007
created:
  W3 CDTF: Mon Nov 15 14:42:27 GMT 2010
is described by: http://identifiers.org/pubmed/20406649
curated: true
time units: metaid_0000004
parameter: metaid_0000016
rule: metaid_0000029
parameter: metaid_0000015
parameter: metaid_0100038
length unit: 879216
parameter: metaid_0000021
species: metaid_0000019
species: metaid_0000005
rule: metaid_0000026
parameter: metaid_0000020
parameter: metaid_0000014
parameter: metaid_0000013
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Vijayalakshmi
    family: Chelliah
compartment: metaid_0000004
parameter: metaid_0000038
substance units: metaid_0000060
rule: metaid_0000027
parameter: metaid_0000037
parameter: metaid_0000023
rule: metaid_0000040
parameter: metaid_0000010
is: MODEL1011170001
rule: metaid_0000034
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 hypocalcemic 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, Ca0, Ca1, t0 and alpha. parameter Subject 1 Subject 2 Subject 3 lambda_1 0.0125 0.0122 0.0269 lambd…
rule: metaid_0000024
species: metaid_0000006
occurs in: http://identifiers.org/taxonomy/9606
parameter: metaid_0000009
modified:
  W3 CDTF: Wed Dec 15 11:51:51 GMT 2010
parameter: metaid_0000008
is version of: GO:0071107
parameter: metaid_0000012
parameter: metaid_0000018

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

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

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

metaid_0000036
type: Parameter
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

metaid_0000035
type: Parameter
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

metaid_0000022
type: Parameter
notes: For subject1, t0=575; subject2, t0=577; subject3, t0=575
constant: true
value: 575.0
name: t0

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

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

metaid_0000015
type: Parameter
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

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

metaid_0000021
type: Parameter
notes: For subject1, Ca1=0.1817; subject2, Ca1=0.2211; subject3, Ca1=0.1985
constant: true
value: 0.1817
name: Ca1

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

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

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

metaid_0000020
type: Parameter
notes: For subject1, Ca0=1.255; subject2, Ca0=1.2369; subject3, Ca0=1.2475
constant: true
value: 1.255
name: Ca0

metaid_0000014
type: Parameter
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

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

metaid_0000038
type: Parameter
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

metaid_0000037
type: Parameter
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

metaid_0000023
type: Parameter
notes: For subject1, alpha=0.0442; subject2, alpha=0.0488; subject3, alpha=0.0472
constant: true
value: 0.0442
name: alpha

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

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

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

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

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

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