A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique

M. Grigioni, A. Carotti, C. Daniele, G. D'Avenio, U. Morbiducci, G. Di Benedetto, S. Albanese, R. Di Donato, V. Barbaro

Research output: Contribution to journalArticle

Abstract

The development of fetal cardiac surgery, considered the ultimate goal in the treatment of congenital cardiac malformations, needs to be supported by detailed knowledge of the blood circulation in the fetal cardiovascular system. The hemodynamic behavior in distal territories is usually inferred from vessel resistance indices, which give limited physiological information. This study presents a mathematical model of the human fetal global cardiovascular system, developed to clarify the relationships and differences existing between upper and lower body circulation. We modelled the heart with two time-varying capacitances, each representing the respective ventricle's pressure-volume relationship. The fetal vascular system was represented using two six-element Windkessel models, for the upper and lower body respectively. We obtained the identification of the set of circuital and elastance function parameters of the model using Genetic Algorithms (GAs) which follow the laws of evolutionary theory. We compared the results of our numerical study on the model identified with data collected from measurements and literature, to validate the proposed global cardiovascular system model of the human fetus. This model is intended as an instrument to investigate the differences in blood distribution between the different vascular districts in the upper and lower fetal body and the role of the aortic isthmus, the small tract of vessel connecting upper and lower fetal vascular beds; it may also represent a useful tool in the assessment of dynamic balance during mechanical assistance of circulation.

Original languageEnglish
Pages (from-to)286-296
Number of pages11
JournalInternational Journal of Artificial Organs
Volume24
Issue number5
Publication statusPublished - 2001

Fingerprint

Cardiovascular system
Cardiovascular System
Blood Vessels
Theoretical Models
Genetic algorithms
Mathematical models
Aortic Bodies
Cardiovascular Models
Hemodynamics
Blood Circulation
Genetic Models
Fetal Development
Thoracic Surgery
Fetus
Pressure
Surgery
Blood
Capacitance
Identification (Psychology)

Keywords

  • Fetal hemodynamics
  • Time-varying elastance
  • Ventricular function

ASJC Scopus subject areas

  • Biophysics

Cite this

Grigioni, M., Carotti, A., Daniele, C., D'Avenio, G., Morbiducci, U., Di Benedetto, G., ... Barbaro, V. (2001). A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique. International Journal of Artificial Organs, 24(5), 286-296.

A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique. / Grigioni, M.; Carotti, A.; Daniele, C.; D'Avenio, G.; Morbiducci, U.; Di Benedetto, G.; Albanese, S.; Di Donato, R.; Barbaro, V.

In: International Journal of Artificial Organs, Vol. 24, No. 5, 2001, p. 286-296.

Research output: Contribution to journalArticle

Grigioni, M, Carotti, A, Daniele, C, D'Avenio, G, Morbiducci, U, Di Benedetto, G, Albanese, S, Di Donato, R & Barbaro, V 2001, 'A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique', International Journal of Artificial Organs, vol. 24, no. 5, pp. 286-296.
Grigioni, M. ; Carotti, A. ; Daniele, C. ; D'Avenio, G. ; Morbiducci, U. ; Di Benedetto, G. ; Albanese, S. ; Di Donato, R. ; Barbaro, V. / A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique. In: International Journal of Artificial Organs. 2001 ; Vol. 24, No. 5. pp. 286-296.
@article{e1684284d5af4db8a444fc2962973674,
title = "A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique",
abstract = "The development of fetal cardiac surgery, considered the ultimate goal in the treatment of congenital cardiac malformations, needs to be supported by detailed knowledge of the blood circulation in the fetal cardiovascular system. The hemodynamic behavior in distal territories is usually inferred from vessel resistance indices, which give limited physiological information. This study presents a mathematical model of the human fetal global cardiovascular system, developed to clarify the relationships and differences existing between upper and lower body circulation. We modelled the heart with two time-varying capacitances, each representing the respective ventricle's pressure-volume relationship. The fetal vascular system was represented using two six-element Windkessel models, for the upper and lower body respectively. We obtained the identification of the set of circuital and elastance function parameters of the model using Genetic Algorithms (GAs) which follow the laws of evolutionary theory. We compared the results of our numerical study on the model identified with data collected from measurements and literature, to validate the proposed global cardiovascular system model of the human fetus. This model is intended as an instrument to investigate the differences in blood distribution between the different vascular districts in the upper and lower fetal body and the role of the aortic isthmus, the small tract of vessel connecting upper and lower fetal vascular beds; it may also represent a useful tool in the assessment of dynamic balance during mechanical assistance of circulation.",
keywords = "Fetal hemodynamics, Time-varying elastance, Ventricular function",
author = "M. Grigioni and A. Carotti and C. Daniele and G. D'Avenio and U. Morbiducci and {Di Benedetto}, G. and S. Albanese and {Di Donato}, R. and V. Barbaro",
year = "2001",
language = "English",
volume = "24",
pages = "286--296",
journal = "International Journal of Artificial Organs",
issn = "0391-3988",
publisher = "Wichtig Publishing",
number = "5",

}

TY - JOUR

T1 - A mathematical model of the fetal cardiovascular system based on genetic algorithms as identification technique

AU - Grigioni, M.

AU - Carotti, A.

AU - Daniele, C.

AU - D'Avenio, G.

AU - Morbiducci, U.

AU - Di Benedetto, G.

AU - Albanese, S.

AU - Di Donato, R.

AU - Barbaro, V.

PY - 2001

Y1 - 2001

N2 - The development of fetal cardiac surgery, considered the ultimate goal in the treatment of congenital cardiac malformations, needs to be supported by detailed knowledge of the blood circulation in the fetal cardiovascular system. The hemodynamic behavior in distal territories is usually inferred from vessel resistance indices, which give limited physiological information. This study presents a mathematical model of the human fetal global cardiovascular system, developed to clarify the relationships and differences existing between upper and lower body circulation. We modelled the heart with two time-varying capacitances, each representing the respective ventricle's pressure-volume relationship. The fetal vascular system was represented using two six-element Windkessel models, for the upper and lower body respectively. We obtained the identification of the set of circuital and elastance function parameters of the model using Genetic Algorithms (GAs) which follow the laws of evolutionary theory. We compared the results of our numerical study on the model identified with data collected from measurements and literature, to validate the proposed global cardiovascular system model of the human fetus. This model is intended as an instrument to investigate the differences in blood distribution between the different vascular districts in the upper and lower fetal body and the role of the aortic isthmus, the small tract of vessel connecting upper and lower fetal vascular beds; it may also represent a useful tool in the assessment of dynamic balance during mechanical assistance of circulation.

AB - The development of fetal cardiac surgery, considered the ultimate goal in the treatment of congenital cardiac malformations, needs to be supported by detailed knowledge of the blood circulation in the fetal cardiovascular system. The hemodynamic behavior in distal territories is usually inferred from vessel resistance indices, which give limited physiological information. This study presents a mathematical model of the human fetal global cardiovascular system, developed to clarify the relationships and differences existing between upper and lower body circulation. We modelled the heart with two time-varying capacitances, each representing the respective ventricle's pressure-volume relationship. The fetal vascular system was represented using two six-element Windkessel models, for the upper and lower body respectively. We obtained the identification of the set of circuital and elastance function parameters of the model using Genetic Algorithms (GAs) which follow the laws of evolutionary theory. We compared the results of our numerical study on the model identified with data collected from measurements and literature, to validate the proposed global cardiovascular system model of the human fetus. This model is intended as an instrument to investigate the differences in blood distribution between the different vascular districts in the upper and lower fetal body and the role of the aortic isthmus, the small tract of vessel connecting upper and lower fetal vascular beds; it may also represent a useful tool in the assessment of dynamic balance during mechanical assistance of circulation.

KW - Fetal hemodynamics

KW - Time-varying elastance

KW - Ventricular function

UR - http://www.scopus.com/inward/record.url?scp=0034971354&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034971354&partnerID=8YFLogxK

M3 - Article

C2 - 11420878

AN - SCOPUS:0034971354

VL - 24

SP - 286

EP - 296

JO - International Journal of Artificial Organs

JF - International Journal of Artificial Organs

SN - 0391-3988

IS - 5

ER -