BIOMD0000000274
type: SBMLModel
curated: true
compartment: 459600
parameter: 459616
rule: 459605
species: 459607
is: MODEL7909987998
occurs in: http://identifiers.org/taxonomy/7711
substance units: metaid_0000042
parameter: 459613
modified:
  W3 CDTF: Fri Apr 20 23:12:44 BST 2012
units def: 869925
creator:
  ORG:
    orgname: Deparment of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand.
  n:
    given: Chontita
    family: Rattanakul
rule: 459603
parameter: 459622
rule: 459606
is described by: http://identifiers.org/pubmed/12753937
parameter: 459630
parameter: 459628
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
parameter: 459612
parameter: 459619
volume units: 773761
name: Rattanakul2003_BoneFormationModel
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Vijayalakshmi
    family: Chelliah
area units: metaid_0000005
parameter: 459627
creator:
  ORG:
    orgname: Deparment of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand.
  n:
    given: Yongwimon
    family: Lenbury
parameter: 459621
notes: This a model from the article: Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy. Rattanakul C, Lenbury Y, Krishnamara N, Wollkind DJ. Biosystems 2003:70(1):55-72. 12753937 , Abstract: Bone, a major reservoir of body calcium, is under the hormonal control of the parathyroid hormone (PTH). Several aspects of its growth, turnover, and mechanism, occur in the absence of gonadal hormones. Sex steroids such as estrogen, nonetheless, play an important role in bone physiology, and are extremely essential to maintain bone balance in adults. In order to provide a basis for understanding the underlying mechanisms of bone remodeling as it is mediated by PTH, we propose here a mathematical model of the process. The nonlinear system model is then utilized to study the temporal effect of PTH as well as the action of estrogen replacement therapy on bone turnover. Analysis of the model is done on the assumption, supported by reported clinical evidence, that the process is characterized by highly diversified dynamics, which warrants the use of singular perturbation arguments. The model is shown to exhibit limit cycle behavior, which can develop into chaotic dynamics for certain ranges of the system's parametric values. Effects of estrogen and PTH administrations are then investigated by extending on the core model. Analysis of the model seems to indicate that the paradoxical observation that intermittent PTH administration causes net bone deposition while continuous administration causes net bone loss, and certain other reported phenomena may be attributed to the highly diversified dynamics which characterizes this nonlinear remodeling process. This model was taken from the CellML repository and automatically converted to SBML. The original model was: rattananakul, lenbury, krishnamara, wollkind. (2003) - version01 The original CellML model was created by: Lloyd, Catherine, May c.lloyd@auckland.ac.nz The University of Aucklan…
species: 459610
parameter: 459618
is version of: GO:0045453
time units: 869949
species: 459609
created:
  W3 CDTF: Wed Mar 25 12:01:00 GMT 2009
parameter: 459624
parameter: 459625
parameter: 459615
units def: 869949
is version of: GO:0001503
length unit: length

459600
type: Compartment
is version of: BTO:0000140
is: SBO:0000290
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0

459616
type: Parameter
is: SBO:0000002
constant: true
value: 0.009
name: a2

459607
type: Species
has only substance units: false
initial concentration: 2.0
name: PTH
in compartment: 459600
is version of: P01270
is: SBO:0000245
boundary condition: false
initial amount: NaN
constant: false

459613
type: Parameter
is: SBO:0000002
constant: true
value: 0.9
name: delta

869925
type: SBMLUnitsDef
unit: 869937
name: minute

869937
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 60.0
kind: SECOND

459622
type: Parameter
is: SBO:0000002
constant: true
value: 0.1
name: b1

459630
type: Parameter
is: SBO:0000009
constant: true
value: 0.025
name: k3

459628
type: Parameter
is: SBO:0000009
constant: true
value: 0.5
name: k2

459612
type: Parameter
is: SBO:0000002
constant: true
value: 0.1
name: epsilon

459619
type: Parameter
is: SBO:0000002
constant: true
value: 0.01
name: a4

459627
type: Parameter
is: SBO:0000009
constant: true
value: 0.1
name: k1

459621
type: Parameter
is: SBO:0000002
constant: true
value: 0.005
name: a5

459610
type: Species
initial concentration: 0.15
initial amount: NaN
is: SBO:0000236
is version of: BTO:0001593
name: active osteoblasts
in compartment: 459600
constant: false
boundary condition: false
has only substance units: false

459618
type: Parameter
is: SBO:0000002
constant: true
value: 0.675
name: a3

869949
type: SBMLUnitsDef
unit: 869961
name: time

869961
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 60.0
kind: SECOND

459609
type: Species
initial concentration: 1.0
constant: false
name: active osteoclasts
is: SBO:0000236
boundary condition: false
in compartment: 459600
initial amount: NaN
has only substance units: false
is version of: BTO:0000968

459624
type: Parameter
is: SBO:0000002
constant: true
value: 0.3
name: b2

459625
type: Parameter
is: SBO:0000002
constant: true
value: 0.01
name: b3

459615
type: Parameter
is: SBO:0000002
constant: true
value: 0.05
name: a1