Patient-specific cardiovascular model

This page was created to support article "Patient-specific model of the human cardiovascular system" sumbitted to 2015 International Conference on Biomedical Engineering and Computational Technologies SIBIRCON.

Article describes personalization procedure of 1-dimensional arterial tree model validated against a set of data on ~1200 individuals.

For personalization procedure model was updated with 4 new vessels and new function for input blood flow calculations. This version of the model is available here.

Simulation results

Table 1. Simulation results for a. brachialis sinistra (left brachial artery)

Parameters	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
With personalization of TPR
TPR A0 β SV HR	0,7841	0,8641	0,011	0,055	0,208	0,372
TPR SV HR	0,8971	0,9251	-0,070	0,041	0,164	0,283
TPR HR	0,4841	0,5561	-0,3182	0,169	0,391	0,214
TPR SV	0,4221	0,5301	-0,075	0,119	0,249	0,283
TPR A0β	0,6931	0,7811	0,006	0,158	0,472	0,328
TPR A0	0,5691	0,8381	-0,1252	0,209	0,385	0,285
TPR β	0,8061	0,7591	0,0852	0,123	0,486	0,400
TPR	0,8101	0,8381	-0,4011	0,164	0,425	0,210
Without personalization iof TPR
A0 β SV HR	0,007	-0,1621	0,046	0,171	0,126	0,342
SV HR	-0,060	-0,012	0,014	0,165	0,129	0,253
HR	0,034	0,077	-0,020	0,122	0,189	0,177
SV	-0,035	-0,073	0,019	0,167	0,161	0,252
A0 β	0,080	-0,226	0,051	0,092	0,181	0,301
A0	-0,1451	0,1501	-0,0922	0,113	0,120	0,283
β	0,2941	-0,2971	0,1372	0,086	0,195	0,365

Table 2. Simulation results for right brachial arterty and lower limbs. In total – 556 individuals

Parameters	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
a. brachialis dextra
R A0 β SV HR	0,6811	0,7531	-0,0452	0,064	0,202	0,288
R SV HR	0,8171	0,8171	-0,120	0,051	0,164	0,205
a. tibialis posterior sinistra
R A0 β SV HR	0,6661	0,6441	0,0912	0,246	0,095	0,493
R SV HR	0,5721	0,6401	-0,001	0,187	0,093	0,346
a. tibialis posterior dextra
R A0 β SV HR	0,6161	0,6261	0,0872	0,248	0,098	0,492
R SV HR	0,5681	0,6501	-0,026	0,193	0,087	0,375

Table 3. Simulation results for different allometric equations used for minute output. All parameters were personalized: R, A0, β, SV, HR. In total – 556 individuals

Allometric equation	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
0,7691	0,8481	-0,0002	0,054	0,199	0,343
0,7501	0,8311	-0,015	0,056	0,192	0,328
0,7821	0,8641	0,011	0,055	0,208	0,372
0,7591	0,8421	-0,006	0,055	0,197	0,338

Table 4. Simulation results with different model time. In each simulation last 2 seconds were used to obserev minimal and maximal ressures produced by the model

Model time	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
6 секунд	0,7531	0,8671	0,031	0,058	0,197	0,364
12 секунд	0,7841	0,8641	0,011	0,055	0,208	0,372
20 секунд	0,7891	0,8621	0,008	0,055	0,209	0,373

Table 5. Simulation results for different age groups. Only TPR was personalized.

Age	#	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
<=30	24	0,9441	0,9641	0,257	0,043	0,195	0,306
(30,50]	42	0,8421	0,8841	0,121	0,032	0,152	0,231
(50,60]	178	0,8921	0,9371	-0,003	0,036	0,152	0,247
(60,70]	246	0,9081	0,9311	-0,010	0,040	0,162	0,289
(70,80]	181	0,8771	0,8961	-0,137	0,051	0,171	0,307

Table 6. Simulation results for control group (observation were recorded before 1 of May 1999)

Observation date	#	Correlations			Mean relative error
	Ps	Pd	Pp	Ps	Pd	Pp
Before 01.05.1999	420	0,7331	0,8011	0,1112	0,073	0,199	0,335
After 01.05.1999	556	0,7841	0,8641	0,011	0,055	0,208	0,372
Any	976	0,7541	0,8361	0,098	0,062	0,205	0,356