092827
constant: false
value: 0.34
name: A
type: Parameter

092831
constant: false
units: dimensionless
value: NaN
name: T_0
type: Parameter

092825
constant: false
value: 0.33
name: L
type: Parameter

268831
unit: 268843
name: first_order_rate_constant
type: SBMLUnitsDef

092833
constant: false
value: 0.0
name: M
type: Parameter

268783
unit: 268795
name: month
type: SBMLUnitsDef

268843
exponent: -1.0
scale: 0
multipler: 2592000.0
kind: SECOND
type: SBMLUnit

268795
exponent: 1.0
scale: 0
multipler: 2592000.0
kind: SECOND
type: SBMLUnit

092835
constant: true
units: 268783
value: 3.6
name: mu_A
type: Parameter

268855
unit: 268867
name: time
type: SBMLUnitsDef

092837
constant: true
units: 268783
value: 2.4
name: mu_T
type: Parameter

092830
constant: false
value: 0.33
name: T
type: Parameter

268807
unit: 268819
name: flux
type: SBMLUnitsDef

092824
constant: true
units: 268783
value: NaN
name: time
type: Parameter

092829
constant: false
units: dimensionless
value: NaN
name: A_0
type: Parameter

092826
constant: false
units: dimensionless
value: NaN
name: L_0
type: Parameter

268867
exponent: 1.0
scale: 0
multipler: 2592000.0
kind: SECOND
type: SBMLUnit

268819
exponent: -1.0
scale: 0
multipler: 2592000.0
kind: SECOND
type: SBMLUnit

092812
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0
type: Compartment

MODEL1006230014
compartment: 092812
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
rule: 092819
substance units: 178797
units def: 268783
units def: 268855
parameter: 092827
parameter: 092825
parameter: 092834
rule: 092816
rule: 092817
units def: 268807
parameter: 092829
modified:
  W3 CDTF: Fri Jun 25 13:24:53 BST 2010
time units: 268855
area units: area
notes: This a model from the article: The follicular automaton model: effect of stochasticity and of synchronization of hair cycles. Halloy J, Bernard BA, Loussouarn G, Goldbeter A. J Theor Biol 2002 Feb 7;214(3):469-79 11846603 , Abstract: Human scalp hair consists of a set of about 10(5)follicles which progress independently through developmental cycles. Each hair follicle successively goes through the anagen (A), catagen (C), telogen (T) and latency (L) phases that correspond, respectively, to growth, arrest and hair shedding before a new anagen phase is initiated. Long-term experimental observations in a group of ten male, alopecic and non-alopecic volunteers allowed determination of the characteristics of hair follicle cycles. On the basis of these observations, we previously proposed a follicular automaton model to simulate the dynamics of human hair cycles and the development of different patterns of alopecia [Halloy et al. (2000) Proc. Natl Acad. Sci. U.S.A.97, 8328-8333]. The automaton model is defined by a set of rules that govern the stochastic transitions of each follicle between the successive states A, T, L and the subsequent return to A. These transitions occur independently for each follicle, after time intervals given stochastically by a distribution characterized by a mean and a standard deviation. The follicular automaton model was shown to account both for the dynamical transitions observed in a single follicle, and for the behaviour of an ensemble of independently cycling follicles. Here, we extend these results and investigate additional properties of the model. We present a deterministic version of the follicular automaton. We show that numerical simulations of the stochastic version of the automaton yield steady-state level of follicles in the different phases which approach the levels predicted by the deterministic equations as the number of follicles progressively increases. Only the stochastic version can successfully reproduce the fluctuations o…
is described by: http://identifiers.org/pubmed/11846603
rule: 092821
length unit: 335510
name: Halloy2002_FollicularAutomaton
parameter: 092830
parameter: 092835
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
modified:
  W3 CDTF: Fri Jun 25 13:24:53 BST 2010
rule: 092820
volume units: 950046
parameter: 092837
units def: 268831
parameter: 092831
parameter: 092826
type: SBMLModel
parameter: 092824
created:
  W3 CDTF: Fri Jun 25 13:24:53 BST 2010
parameter: 092833
rule: 092818
curated: false
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
rule: 092822
modified:
  W3 CDTF: Fri Jun 25 13:24:53 BST 2010
parameter: 092838

092834
constant: true
units: 268783
value: 2.0
name: mu_L
type: Parameter

092838
constant: true
units: 268831
value: 0.0
name: epsilon
type: Parameter