Umbilical flow distribution to the liver and the ductus venosus in human fetuses during gestation: An anatomy-based mathematical modeling

Medical Engineering and Physics

Volumn 25, Issue 3, 2003, Pages 229-238

  Pennati, G ^a   Corno, C ^a   Costantino, M L ^a   Bellotti, M ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF MILAN   (Italy)

Author keywords

Lumped parameter model; Self similar hepatic model; Venous fetal circulation

Indexed keywords

BIOLOGICAL ORGANS; BLOOD; BLOOD VESSELS; BRAIN; FRACTALS; MATHEMATICAL TECHNIQUES; ULTRASONICS;

BLOOD FLOW RATE;

FETAL MONITORING;

ARTICLE; BLOOD FLOW VELOCITY; DUCTUS VENOSUS; GESTATIONAL AGE; HEMODYNAMICS; IMPEDANCE; LAMB; LIVER CIRCULATION; LIVER WEIGHT; MATHEMATICAL MODEL; MEASUREMENT; PREDICTION; PREGNANCY; PRIORITY JOURNAL; UMBILICAL CORD BLOOD FLOW; UMBILICAL VEIN; VASCULAR RESISTANCE; VEIN DIAMETER;

EID: 0037393042     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1350-4533(02)00192-3     Document Type: Article

References (51)

1. Behrman R.E., Lees R.N., Peterson E.N., de Lannoy C.W., Seeds A.E. Distribution of the circulation in the normal and asphyxiated fetal primate. Am J Obstet Gynecol. 108:1970;956-969.
2. Edelstone D.I., Rudolph A.M., Heymann M.A. Effects of hypoxemia and decreasing umbilical flow on liver and ductus venosus blood flows in fetal lambs. Am J Appl Physiol Heart Circ Physiol. 238:1980;H656-H663.
3. Edelstone D.I., Rudolph A.M., Heymann M.A. Liver and ductus venosus blood flows in fetal lambs in utero. Circ Res. 42:1978;426-433.
4. Rudolph A.M., Heymann M.A., Teramo K.A.W., Barrett C., Räihä N. Studies on the circulation of the previable human fetus. Pediatr Res. 5:1971;452-465.
5. Bellotti M., Pennati G., de Gasperi C., Battaglia F.C., Ferrazzi E. Role of ductus venosus in distribution of umbilical blood flow in human fetuses during the second half of pregnancy. Am J Physiol. 279:2000;H1256-H1263.
6. Kiserud T., Rasmussen S., Skulstad S. Blood flow and the degree of shunting through the ductus venosus in the human fetus. Am J Obstet Gynecol. 182:2000;147-153.
7. Pennati G., Bellotti M., Ferrazzi E., Bozzo M., Pardi G., Fumero R. Blood flow through the ductus venosus in human fetus: calculation using Doppler velocimetry and computational findings. Ultrasound Med Biol. 24:1998;477-487.
8. Tchirikov M., Rybakowski C., Huneke B., Schroder H.J. Blood flow through the ductus venosus in singleton and multifetal pregnancies and in fetuses with intrauterine growth retardation. Am J Obstet Gynecol. 178:1998;943-949.
9. Pennati G., Redaelli A., Bellotti M., Ferrazzi E. Computational analysis of the ductus venosus fluid dynamics based on Doppler measurements. Ultrasound Med Biol. 22:1996;1017-1029.
10. Bellotti M., Pennati G., Pardi G., Fumero R. Dilatation of the ductus venosus in human fetuses: ultrasonographic evidence and mathematical modeling. Am J Physiol. 275:1998;H1759-H1767.
11. Barron D.H. The "sphincter" of the ductus venosus. Anat Rec. 82:1942;389.
12. Kiserud T., Ozaki T., Nishina H., Rodeck C., Hanson M.A. Effect of NO, phenylephrine, and hypoxemia on ductus venosus diameter in fetal sheep. Am J Physiol. 279:2000;H1166-H1171.
13. Kiserud T., Stratford L., Hanson L.A. Umbilical flow distribution to the liver and ductus venosus: an in vitro investigation of the fluid dynamic mechanism in the fetal sheep. Am J Obstet Gynecol. 177:1997;86-90.
14. Thompson R.S., Trudinger B.J. Doppler waveform pulsatility index and resistance pressure and flow in the umbilical placental circulation: an investigation using a mathematical model. Ultrasound in Med & Biol. 16:1990;449-458.
15. Costa A., Costantino M.L., Fumero R. Oxygen exchange mechanism in the human placenta: mathematical modelling and simulation. J Biomed Eng. 14:1992;385-389.
16. Guettouche A., Challier J.C., Ito Y., Papapanayotou C., Cherruault Y., Azancot-Benisty A. Mathematical modeling of the human fetal arterial blood circulation. Int J Biomed Comput. 31:1992;127-139.
17. Huikeshoven F.J., Coleman T.G., Jongsma H.W. Mathematical model of the fetal cardiovascular system: the uncontrolled case. Am J Physiol. 239:1980;R317-R325.
18. Pennati G., Bellotti M., Fumero R. Mathematical modelling of the human fetal cardiovascular system based on Doppler ultrasound data. Med Eng Phys. 19:1997;327-335.
19. Pennati G., Fumero R. Scaling approach to study the changes through the gestation of human fetal cardiac and circulatory behaviors. Ann Biomed Eng. 28:2000;442-452.
20. Bassingthwaighte J.B. Back to fundamentals: anatomy-based physiological bioengineering. Ann Biomed Eng. 28:2000;701-703.
21. Champetier J., Yver R., Tomasella T. Functional anatomy of the liver of the human fetus: applications to ultrasonography. Surg Radiol Anat. 11:1989;53-62.
22. Kiserud T., Eik-Nes S.H., Blaas H.G., Hellevik L.R., Angelsen B.A. Estimation of the pressure gradient across the fetal ductus venosus based on Doppler velocimetry. Ultrasound Med Biol. 20:1994;225-232.
23. Gimondo P., Mirk P., La Bella A., Messina G., Pizzi C. Sonographic estimation of fetal liver weight: an additional biometric parameter for assessment of fetal growth. J Ultrasound Med. 14:1995;327-333.
24. Luecke R.H., Wosilait W.D., Young J.F. Mathematical representation of organ growth in the human embryo/fetus. Int J BioMed Comput. 39:1995;337-347.
25. Laudy J.A., Janssen M.M., Struyk P.C., Stijnen T., Wallenburg H.C., Wladimiroff J.W. Fetal liver volume measurement by three-dimensional ultrasonography: a preliminary study. Ultrasound Obstet Gynecol. 12:1998;93-96.
26. West G.B., Brown J.H., Enquist J.B. A general model for the origin of allometric scaling laws in biology. Science. 276:1997;122-126.
27. Murray C.D. The physiological principle of minimum work. I: The vascular system and the cost of blood volume. Proc Natl Acad Sci. 12:1926;207-214.
28. Popel A.S. Network models of peripheral circulation. Skalak R., Chen S. Handbook of bioengineering. 1987;20 McGraw-Hill Book Company, New York.
29. Schmidt-Schönbein G.W. Biomechanics of microcirculatory blood perfusion. Yarmush M.L. Annual review of biomedical engineering. 1999;73-102 Annual reviews, Palo Alto, CA.
30. Wagner W.W., Todoran T.M., Tanabe N., Wagner T.M., Tanner J.A., Glenny R.W., Presson R.G. Pulmonary capillary perfusion: intra-alveolar fractal patterns and intralveolar independence. J Appl Physiol. 86:1999;825-831.
31. Kassab G.S., Le K.N., Fung Y.C.B. A hemodynamic analysis of coronary capillary blood flow based on anatomic and distensibility data. Am J Physiol. 277:1999;H2158-H2166.
32. Fung YC. Biomechanics. Circulation. Second edition, New York: Springer-Verlag, 1996. p. 340-48.
33. Dhadwal A., Wiggs B., Doerschuk C.M., Kamm R.D. Effects of anatomic variability on blood flow and pressure gradients in the pulmonary capillaries. J Appl Physiol. 83:1997;1711-1720.
34. Pries A.R., Secomb T.W. Microcirculatory network structures and models. Ann Biomed Eng. 28:2000;916-921.
35. Chen I.I.H. A mathematical representation for vessel network III. J Theor Biol. 111:1984;115-121.
36. Pries A.R., Secomb T.W., Gaehtgens P. Design principles of vascular beds. Circ Res. 77:1995;1017-1023.
37. Naeye R.L. Umbilical cord length: clinical significance. J Pediatr. 107:1985;278-281.
38. El Bouhmadi A., Boulot P., Laffargue F., Brun J.F. Rheological properties of fetal red cells with special reference to aggregability and disaggregability analyzed by light transmission and laser backscattering techniques. Clin Hemorheol Microcirc. 22:2000;79-90.
39. Nicolini U., Fisk N.M., Talbert D.G., Rodeck C.H., Kochenour N.K. Intrauterine manometry: technique and application to fetal pathology. Prenat Diagn. 9:1989;243-254.
40. Weiner C.P., Heilskov J.R.N., Pelzer G.R.N., Grant S.R.N. Normal values for human umbilical venous and amniotic fluid pressure and their alteration by fetal disease. Am J Obstet Gynecol. 161:1989;714-717.
41. Ville Y., Sideris I., Hecher K., Snijders R.J., Nicolaides K.H. Umbilical venous pressure in normal, growth-retarded, and anemic fetuses. Am J Obstet Gynecol. 170:1994;487-494.
42. Hu N., Keller B.B. Relationship of simultaneous atrial and ventricular pressures in stage 16-27 chick embryos. Am J Physiol. 269:1995;H1359-H1362.
43. Johnson P., Maxwell D.J., Tynan M.J., Allan L.D. Intracardiac pressures in the human fetus. Heart. 84:2000;59-63.
44. Milnor W.R. Comparative hemodynamics: the influence of body size. Milnor W.R. Hemodynamics. 1982;161-166 Williams & Wilkins, Baltimore, MD.
45. Skulstad S.M., Rasmussen S., Iversen O.E., Kiserud T. The development of high venous velocity at the fetal umbilical ring during gestational weeks 11-19. BJOG. 108:2001;248-253.
46. West B.J. Physiology in fractal dimensions. Am Sci. 75:1987;354-365.
47. Weibel E.R. Fractal geometry: a design principle for living organisms. Am J Physiol. 261:1991;L361-L369.
48. Parker J.C., Cave C.B., Ardell J.L., Hamm C.R., Williams S.G. Vascular tree structure affects lung blood flow heterogeneity simulated in three dimensions. J Appl Physiol. 83:1997;1370-1382.
49. Pries A.R., Secomb T.W., Gaehtgens P. Structural adaptation and stability of microvascular networks: theory and simulations. Am J Physiol. 275:1998;H349-H360.
50. Rudolph C.D., Meyers R.L., Paulick R.P., Rudolph A.M. Effects of Ductus Venosus obstruction on liver and regional blood flows in the fetal lamb. Pediatr Res. 29:1991;347-352.
51. Gallivan S., Robson S.C., Chang T.C., Vaughan J., Spencer J.A.D. An investigation of fetal growth using serial ultrasound data. Ultrasound Obstet Gynecol. 3:1993;109-114.