452059
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name: day
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299310
constant: false
value: NaN
name: b_
type: Parameter

299286
constant: false
value: NaN
name: T
type: Parameter

299290
constant: false
value: 200000.0
name: VI
type: Parameter

452107
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unit: 452119
name: ml_per_day
type: SBMLUnitsDef

452143
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name: time
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452095
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452047
exponent: -1.0
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kind: LITRE
type: SBMLUnit

299292
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value: 200000.0
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452119
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299298
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452083
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name: first_order_rate_constant
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299296
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452131
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299316
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value: 0.01
name: m
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299314
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value: 0.25
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299308
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value: 774.0
name: p
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299304
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value: 0.0
name: tau_p
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452155
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multipler: 86400.0
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299302
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value: NaN
name: h
type: Parameter

MODEL1006230055
units def: 452034
parameter: 299316
parameter: 299287
parameter: 299310
rule: 299275
compartment: 299263
parameter: 299295
curated: false
parameter: 299305
rule: 299278
modified:
  W3 CDTF: Fri Jun 25 14:18:20 BST 2010
parameter: 299302
modified:
  W3 CDTF: Fri Jun 25 14:18:20 BST 2010
created:
  W3 CDTF: Fri Jun 25 14:18:20 BST 2010
rule: 299269
rule: 299283
is described by: http://identifiers.org/pubmed/9780612
parameter: 299292
units def: 452083
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
area units: 291053
units def: 452143
rule: 299274
parameter: 299286
rule: 299284
time units: 452143
parameter: 299293
substance units: 178797
length unit: 076409
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creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
rule: 299280
volume units: 290956
parameter: 299289
parameter: 299317
creator:
  ORG:
    orgname: University of Auckland
  n:
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    family: Lloyd
parameter: 299301
name: Mittler1998_HIV1_interactingTargetCells
parameter: 299296
units def: 452107
rule: 299271
parameter: 299299
parameter: 299298
rule: 299272
parameter: 299290
units def: 452059
parameter: 299311
notes: This a model from the article: Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Mittler JE, Sulzer B, Neumann AU, Perelson AS. Math Biosci 1998 Sep;152(2):143-63 9780612 , Abstract: We present and analyze a model for the interaction of human immunodeficiency virus type 1 (HIV-1) with target cells that includes a time delay between initial infection and the formation of productively infected cells. Assuming that the variation among cells with respect to this 'intracellular' delay can be approximated by a gamma distribution, a high flexible distribution that can mimic a variety of biologically plausible delays, we provide analytical solutions for the expected decline in plasma virus concentration after the initiation of antiretroviral therapy with one or more protease inhibitors. We then use the model to investigate whether the parameters that characterize viral dynamics can be identified from biological data. Using non-linear least-squares regression to fit the model to simulated data in which the delays conform to a gamma distribution, we show that good estimates for free viral clearance rates, infected cell death rates, and parameters characterizing the gamma distribution can be obtained. For simulated data sets in which the delays were generated using other biologically plausible distributions, reasonably good estimates for viral clearance rates, infected cell death rates, and mean delay times can be obtained using the gamma-delay model. For simulated data sets that include added simulated noise, viral clearance rate estimates are not as reliable. If the mean intracellular delay is known, however, we show that reasonable estimates for the viral clearance rate can be obtained by taking the harmonic mean of viral clearance rate estimates from a group of patients. These results demonstrate that it is possible to incorporate distributed intracellular delays into existing models for HIV dynamics and to use these refined models to esti…
parameter: 299307
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type: SBMLModel
rule: 299277
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modified:
  W3 CDTF: Fri Jun 25 14:18:20 BST 2010
parameter: 299314
parameter: 299304
rule: 299268
parameter: 299313

299311
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name: k_
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299287
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value: 0.1
name: I
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299289
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452071
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299299
constant: false
value: 0.0
name: E3
type: Parameter

299263
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0
type: Compartment

299305
constant: true
value: 3.0
name: c
type: Parameter

299295
constant: false
value: NaN
name: V
type: Parameter

299307
constant: true
value: 0.5
name: delta
type: Parameter

299293
constant: false
value: 0.0
name: VNI
type: Parameter

299313
constant: true
value: 2.4E-5
name: k
type: Parameter

299317
constant: true
value: 4.0
name: n
type: Parameter

299301
constant: false
value: 0.0
name: E4
type: Parameter