BIOMD0000000403
type: SBMLModel
rule: metaid_0000023
parameter: metaid_0000038
substance units: metaid_0000321
parameter: metaid_0010021
parameter: metaid_0000019
rule: metaid_0000043
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Vijayalakshmi
    family: Chelliah
is derived from: BIOMD0000000148
parameter: metaid_0000007
length unit: length
parameter: metaid_0000016
parameter: metaid_0000012
rule: metaid_0000030
parameter: metaid_0000040
species: metaid_0000006
compartment: metaid_0000022
parameter: metaid_0000041
occurs in: http://identifiers.org/taxonomy/7711
parameter: metaid_0000020
modified:
  W3 CDTF: Fri Apr 20 20:33:10 BST 2012
parameter: metaid_0050021
parameter: metaid_0030021
is derived from: BIOMD0000000279
rule: metaid_0000024
rule: metaid_0000042
creator:
  ORG:
    orgname: Department of Mathematics, University of lowa, lowa City, IA 52242, USA.
  n:
    given: Bruce P
    family: Ayati
rule: metaid_0000025
is: MODEL1112060002
rule: metaid_0000029
time units: metaid_0000322
rule: metaid_0000037
parameter: metaid_0000021
parameter: metaid_0000009
parameter: metaid_0000018
is version of: DOID:9538
area units: 498119
parameter: metaid_0000015
parameter: metaid_0000011
is version of: GO:0046849
rule: metaid_0000031
created:
  W3 CDTF: Fri Nov 25 17:39:27 GMT 2011
curated: true
parameter: metaid_0060021
is described by: http://identifiers.org/pubmed/20406449
parameter: metaid_0000039
notes: This a model from the article: A mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease Bruce P Ayati, Claire M Edwards, Glenn F Webb and John P Wikswo. Biology Direct 2010 Apr 20;5(28). 20406449 , Abstract: BACKGROUND: Multiple myeloma is a hematologic malignancy associated with the development of a destructive osteolytic bone disease. RESULTS: Mathematical models are developed for normal bone remodeling and for the dysregulated bone remodeling that occurs in myeloma bone disease. The models examine the critical signaling between osteoclasts (bone resorption) and osteoblasts (bone formation). The interactions of osteoclasts and osteoblasts are modeled as a system of differential equations for these cell populations, which exhibit stable oscillations in the normal case and unstable oscillations in the myeloma case. In the case of untreated myeloma, osteoclasts increase and osteoblasts decrease, with net bone loss as the tumor grows. The therapeutic effects of targeting both myeloma cells and cells of the bone marrow microenvironment on these dynamics are examined. CONCLUSIONS: The current model accurately reflects myeloma bone disease and illustrates how treatment approaches may be investigated using such computational approaches. Note: The paper describes three models 1) Zero-dimensional Bone Model without Tumou r, 2) Zero-dimensional Bone Model with Tumour and 3) Zero-dimensional Bone Model with Tumour and Drug Treatment. This model corresponds to the Zero-dimensional Bo ne Model with Tumour and Drug Treatment. Typos in the publication: Equation (4): The first term should be (β1/α1)^(g12/Γ) and not (β2/α2)^(g12/Γ) Equation (14): The first term should be (β1/α1)^(((g12/(1+r12))/Γ) and not (β2/α2)^(((g12/(1+r12))/Γ) Equation (13): The first term should be (β1/α1)^((1-g22+r22)/Γ) and not (β1/α1)^((1-g22-r22)/Γ) All these corrections has been implemented in the model, with the authors agreement. Beyond these, there are…
species: metaid_0000005
parameter: metaid_0020021
species: metaid_0000004
rule: metaid_0000026
rule: metaid_0000027
parameter: metaid_0000008
parameter: metaid_0000017
volume units: metaid_0000323
parameter: metaid_0000013
parameter: metaid_0040021
parameter: metaid_0000014
name: Ayati2010_BoneRemodelingDynamics_WithTumour+DrugTreatment
parameter: metaid_0000010
species: metaid_0100006

metaid_0000038
type: Parameter
is: SBO:0000009
constant: false
value: NaN
name: V1

metaid_0010021
type: Parameter
is: SBO:0000009
constant: true
value: 100.0
name: LT

metaid_0000019
type: Parameter
is: SBO:0000009
constant: true
value: 1.0
name: g12

metaid_0000007
type: Parameter
constant: false
value: NaN
name: y1

metaid_0000016
type: Parameter
is: SBO:0000009
constant: true
value: 6.395E-4
name: k2

metaid_0000012
type: Parameter
is: SBO:0000009
constant: true
value: 0.2
name: beta1

metaid_0000040
type: Parameter
is: SBO:0000009
constant: true
value: 0.001
name: v1

metaid_0000006
type: Species
is version of: PATO:0000125
constant: false
boundary condition: false
has only substance units: false
initial concentration: 100.0
initial amount: NaN
in compartment: metaid_0000022
name: BoneMass

metaid_0000022
type: Compartment
is version of: BTO:0000140
is: SBO:0000290
constant: true
size: 1.0
spatial dimensions: 3.0

metaid_0000041
type: Parameter
is: SBO:0000009
constant: true
value: 0.008
name: v2

metaid_0000020
type: Parameter
is: SBO:0000009
constant: true
value: 0.0
name: g22

metaid_0050021
type: Parameter
is: SBO:0000009
constant: true
value: 0.2
name: r22

metaid_0030021
type: Parameter
is: SBO:0000009
constant: true
value: 0.0
name: r21

metaid_0000021
type: Parameter
is: SBO:0000009
constant: false
value: NaN
name: gamma

metaid_0000009
type: Parameter
constant: false
value: NaN
name: C_bar

metaid_0000018
type: Parameter
is: SBO:0000009
constant: true
value: -0.5
name: g21

metaid_0000015
type: Parameter
is: SBO:0000009
constant: true
value: 0.0748
name: k1

metaid_0000011
type: Parameter
is: SBO:0000009
constant: true
value: 3.0
name: alpha1

metaid_0060021
type: Parameter
is: SBO:0000009
constant: true
value: 0.005
name: gammaT

metaid_0000039
type: Parameter
is: SBO:0000009
constant: false
value: NaN
name: V2

metaid_0000005
type: Species
is: SBO:0000236
in compartment: metaid_0000022
name: Osteoblasts
is version of: BTO:0001593
initial amount: NaN
initial concentration: 300.0
constant: false
has only substance units: false
boundary condition: false

metaid_0020021
type: Parameter
is: SBO:0000009
constant: true
value: 0.005
name: r11

metaid_0000004
type: Species
is: SBO:0000236
initial amount: NaN
name: Osteoclasts
constant: false
has only substance units: false
is version of: BTO:0000968
boundary condition: false
initial concentration: 13.0
in compartment: metaid_0000022

metaid_0000008
type: Parameter
constant: false
value: NaN
name: y2

metaid_0000017
type: Parameter
is: SBO:0000009
constant: true
value: 1.1
name: g11

metaid_0000013
type: Parameter
is: SBO:0000009
constant: true
value: 4.0
name: alpha2

metaid_0040021
type: Parameter
is: SBO:0000009
constant: true
value: 0.0
name: r12

metaid_0000014
type: Parameter
is: SBO:0000009
constant: true
value: 0.02
name: beta2

metaid_0000010
type: Parameter
constant: false
value: NaN
name: B_bar

metaid_0100006
type: Species
is version of: BTO:0002101
constant: false
boundary condition: false
has only substance units: false
initial concentration: 1.0
initial amount: NaN
in compartment: metaid_0000022
name: Tumour