MODEL1006230000
type: SBMLModel
rule: 685730
rule: 685736
rule: 685734
parameter: 685873
parameter: 685844
rule: 685748
parameter: 685840
substance units: 178797
parameter: 685861
rule: 685764
units def: 200151
parameter: 685819
parameter: 685785
rule: 685755
parameter: 685807
parameter: 685887
parameter: 685796
rule: 685767
parameter: 685858
parameter: 685878
parameter: 685874
parameter: 685783
parameter: 685784
rule: 685740
units def: 200067
parameter: 685889
parameter: 685884
parameter: 685800
parameter: 685851
parameter: 685871
parameter: 685872
parameter: 685806
parameter: 685843
parameter: 685828
parameter: 685829
parameter: 685857
parameter: 685830
parameter: 685853
rule: 685752
parameter: 685824
parameter: 685825
parameter: 685845
rule: 685746
parameter: 685778
rule: 685729
units def: 200187
parameter: 685794
notes: This a model from the article: Minimal haemodynamic system model including ventricular interaction and valve dynamics. Smith BW, Chase JG, Nokes RI, Shaw GM, Wake G. Med Eng Phys 2004 Mar;26(2):131-9 15036180 , Abstract: Characterising circulatory dysfunction and choosing a suitable treatment is often difficult and time consuming, and can result in a deterioration in patient condition, or unsuitable therapy choices. A stable minimal model of the human cardiovascular system (CVS) is developed with the ultimate specific aim of assisting medical staff for rapid, on site modelling to assist in diagnosis and treatment. Models found in the literature simulate specific areas of the CVS with limited direct usefulness to medical staff. Others model the full CVS as a closed loop system, but they were found to be very complex, difficult to solve, or unstable. This paper develops a model that uses a minimal number of governing equations with the primary goal of accurately capturing trends in the CVS dynamics in a simple, easily solved, robust model. The model is shown to have long term stability and consistency with non-specific initial conditions as a result. An "open on pressure close on flow" valve law is created to capture the effects of inertia and the resulting dynamics of blood flow through the cardiac valves. An accurate, stable solution is performed using a method that varies the number of states in the model depending on the specific phase of the cardiac cycle, better matching the real physiological conditions. Examples of results include a 9% drop in cardiac output when increasing the thoracic pressure from -4 to 0 mmHg, and an increase in blood pressure from 120/80 to 165/130 mmHg when the systemic resistance is doubled. These results show that the model adequately provides appropriate magnitudes and trends that are in agreement with existing data for a variety of physiologically verified test cases simulating human CVS function. This model was taken from the CellML…
parameter: 685795
compartment: 685722
parameter: 685786
rule: 685771
rule: 685753
rule: 685765
units def: 200247
rule: 685761
rule: 685749
is described by: http://identifiers.org/pubmed/15036180
parameter: 685866
length unit: 335510
area units: area
parameter: 685811
parameter: 685883
parameter: 685862
parameter: 685882
parameter: 685802
units def: 199995
parameter: 685817
units def: 200043
parameter: 685818
parameter: 685803
parameter: 685839
parameter: 685877
parameter: 685850
rule: 685758
units def: 200223
parameter: 685780
parameter: 685868
parameter: 685813

685873
type: Parameter
constant: false
value: 133.3381
name: V_ao

685844
type: Parameter
constant: true
value: 0.023
name: lambda_rvf

685840
type: Parameter
constant: true
value: 0.0
name: V_d_rvf

685861
type: Parameter
constant: false
value: 43.0123
name: V_pa

200151
type: SBMLUnitsDef
unit: 200175
unit: 200163
name: mL_per_second

200175
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND

200163
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: LITRE

685819
type: Parameter
constant: false
value: NaN
name: P_ed_lvf

685785
type: Parameter
constant: true
value: 1.4868E-4
name: L_pv

685807
type: Parameter
constant: true
value: 0.5003
name: P_0_pcd

685887
type: Parameter
constant: false
value: 245.5813
name: Q_mt

685796
type: Parameter
constant: true
value: 80.0
name: B

685858
type: Parameter
constant: true
value: 0.369
name: E_es_pa

685878
type: Parameter
constant: true
value: 0.0059
name: E_es_vc

685874
type: Parameter
constant: true
value: 0.0
name: V_d_ao

685783
type: Parameter
constant: true
value: 1.0889
name: R_sys

685784
type: Parameter
constant: true
value: 8.0093E-5
name: L_tc

200067
type: SBMLUnitsDef
unit: 200091
unit: 200079
name: kPa_per_mL

200091
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: LITRE

200079
type: SBMLUnit
exponent: 1.0
scale: 3
multipler: 1.0
kind: PASCAL

685889
type: Parameter
constant: false
value: 190.0661
name: Q_tc

685884
type: Parameter
constant: false
value: NaN
name: Q_pul

685800
type: Parameter
constant: false
value: NaN
name: tau

685851
type: Parameter
constant: true
value: 1.1101
name: P_0_spt

685871
type: Parameter
constant: false
value: NaN
name: P_ao

685872
type: Parameter
constant: true
value: 0.6913
name: E_es_ao

685806
type: Parameter
constant: false
value: NaN
name: P_peri

685843
type: Parameter
constant: true
value: 0.2157
name: P_0_rvf

685828
type: Parameter
constant: true
value: 0.0
name: V_0_lvf

685829
type: Parameter
constant: false
value: NaN
name: V_rvf

685857
type: Parameter
constant: false
value: NaN
name: P_pa

685830
type: Parameter
constant: false
value: NaN
name: P_rvf

685853
type: Parameter
constant: true
value: 2.0
name: V_0_spt

685824
type: Parameter
constant: true
value: 0.1203
name: P_0_lvf

685825
type: Parameter
constant: true
value: 0.033
name: lambda_lvf

685845
type: Parameter
constant: true
value: 0.0
name: V_0_rvf

685778
type: Parameter
constant: true
value: 0.0237
name: R_tc

200187
type: SBMLUnitsDef
unit: 200211
unit: 200199
name: mL_per_second2

200211
type: SBMLUnit
exponent: -2.0
scale: 0
multipler: 1.0
kind: SECOND

200199
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: LITRE

685794
type: Parameter
constant: false
value: NaN
name: e_t

685795
type: Parameter
constant: true
value: 1.0
name: A

685722
type: Compartment
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0

685786
type: Parameter
constant: true
value: 7.6968E-5
name: L_mt

200247
type: SBMLUnitsDef
unit: 200283
unit: 200271
unit: 200259
name: kPa_second2_per_mL

200283
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: LITRE

200271
type: SBMLUnit
exponent: 2.0
scale: 0
multipler: 1.0
kind: SECOND

200259
type: SBMLUnit
exponent: 1.0
scale: 3
multipler: 1.0
kind: PASCAL

685866
type: Parameter
constant: true
value: 0.0073
name: E_es_pu

685811
type: Parameter
constant: true
value: 0.03
name: lambda_pcd

685883
type: Parameter
constant: false
value: NaN
name: Q_sys

685862
type: Parameter
constant: true
value: 0.0
name: V_d_pa

685882
type: Parameter
constant: true
value: 0.0
name: V_d_vc

685802
type: Parameter
constant: false
value: NaN
name: V_pcd

199995
type: SBMLUnitsDef
unit: 200007
name: kPa

200007
type: SBMLUnit
exponent: 1.0
scale: 3
multipler: 1.0
kind: PASCAL

685817
type: Parameter
constant: false
value: 94.6812
name: V_lv

200043
type: SBMLUnitsDef
unit: 200055
name: per_mL

200055
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: LITRE

685818
type: Parameter
constant: false
value: NaN
name: P_es_lvf

685803
type: Parameter
constant: false
value: NaN
name: P_pcd

685839
type: Parameter
constant: true
value: 0.585
name: E_es_rvf

685877
type: Parameter
constant: false
value: NaN
name: P_vc

685850
type: Parameter
constant: true
value: 2.0
name: V_d_spt

200223
type: SBMLUnitsDef
unit: 200235
name: per_second2

200235
type: SBMLUnit
exponent: -2.0
scale: 0
multipler: 1.0
kind: SECOND

685780
type: Parameter
constant: true
value: 0.1552
name: R_pul

685868
type: Parameter
constant: true
value: 0.0
name: V_d_pu

685813
type: Parameter
constant: false
value: NaN
name: P_lvf

685835
type: Parameter
constant: false
value: NaN
name: P_es_rvf

685856
type: Parameter
constant: true
value: 1.0
name: one

685801
type: Parameter
constant: true
value: 0.75
name: period

685852
type: Parameter
constant: true
value: 0.435
name: lambda_spt

685789
type: Parameter
constant: true
value: 1.2189E-4
name: L_av

685838
type: Parameter
constant: false
value: NaN
name: P_ed_rvf

685823
type: Parameter
constant: true
value: 0.0
name: V_d_lvf

685777
type: Parameter
constant: true
value: 0.018
name: R_av

685797
type: Parameter
constant: true
value: 0.375
name: C

685833
type: Parameter
constant: false
value: NaN
name: P_rv

W3 CDTF: Wed Jun 23 14:38:09 BST 2010

685820
type: Parameter
constant: true
value: 2.8798
name: E_es_lvf

685808
type: Parameter
constant: true
value: 200.0
name: V_0_pcd

685779
type: Parameter
constant: true
value: 0.0055
name: R_pv

685814
type: Parameter
constant: false
value: NaN
name: P_lv

200019
type: SBMLUnitsDef
unit: 200031
name: mL

200031
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: LITRE

685890
type: Parameter
constant: false
value: 0.0
name: Q_pv

ORG:
  orgname: Auckland Bioengineering Institute, The Auckland University
n:
  given: Geoffrey
  family: Nunns

685888
type: Parameter
constant: false
value: 0.0
name: Q_av

685790
type: Parameter
constant: true
value: 5.5
name: V_tot

685791
type: Parameter
constant: true
value: -4.0
name: P_th

685879
type: Parameter
constant: false
value: 329.7803
name: V_vc

685846
type: Parameter
constant: true
value: NaN
name: V_spt

685867
type: Parameter
constant: false
value: 808.4579
name: V_pu

685776
type: Parameter
constant: true
value: 0.0158
name: R_mt

685812
type: Parameter
constant: false
value: NaN
name: V_lvf

200103
type: SBMLUnitsDef
unit: 200139
unit: 200127
unit: 200115
name: kPa_second_per_mL

200139
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: LITRE

200127
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: SECOND

200115
type: SBMLUnit
exponent: 1.0
scale: 3
multipler: 1.0
kind: PASCAL

685863
type: Parameter
constant: false
value: NaN
name: P_pu

685849
type: Parameter
constant: true
value: 48.754
name: E_es_spt

685834
type: Parameter
constant: false
value: 90.7302
name: V_rv

W3 CDTF: Mon Sep 27 18:18:29 BST 2010

ORG:
  orgname: Auckland Bioengineering Institute, The Auckland University
n:
  given: Geoffrey
  family: Nunns

ORG:
  orgname: Auckland Bioengineering Institute, The Auckland University
n:
  given: Geoffrey
  family: Nunns

W3 CDTF: Mon Sep 27 18:18:29 BST 2010

W3 CDTF: Mon Sep 27 18:18:29 BST 2010