Statistical Mechanics of the Human Placenta: A Stationary State of a Near-Equilibrium System in a Linear Regime.

Yves Lecarpentier, Victor Claes, Jean-Louis Hébert, Xénophon Krokidis, François-Xavier Blanc, Francine Michel, Oumar Timbely
Author Information
  1. Yves Lecarpentier: Centre de Recherche Clinique, Centre Hospitalier Régional de Meaux, Meaux, France.
  2. Victor Claes: Department of Pharmaceutical Sciences, University of Antwerp, Wilrijk, Belgium.
  3. Jean-Louis Hébert: Institut de Cardiologie, Hôpital de la Pitié-Salpêtrière, Assistance Publique-Hôpitaux de Paris, Paris, France.
  4. Xénophon Krokidis: Centre de Recherche Clinique, Centre Hospitalier Régional de Meaux, Meaux, France.
  5. François-Xavier Blanc: Service de Pneumologie, Centre Hospitalo-Universitaire de Nantes, Nantes, France.
  6. Francine Michel: Service de Gynécologie-Obstétrique, Centre Hospitalier Régional de Meaux, Meaux, France.
  7. Oumar Timbely: Service de Gynécologie-Obstétrique, Centre Hospitalier Régional de Meaux, Meaux, France.

Abstract

All near-equilibrium systems under linear regime evolve to stationary states in which there is constant entropy production rate. In an open chemical system that exchanges matter and energy with the exterior, we can identify both the energy and entropy flows associated with the exchange of matter and energy. This can be achieved by applying statistical mechanics (SM), which links the microscopic properties of a system to its bulk properties. In the case of contractile tissues such as human placenta, Huxley's equations offer a phenomenological formalism for applying SM. SM was investigated in human placental stem villi (PSV) (n = 40). PSV were stimulated by means of KCl exposure (n = 20) and tetanic electrical stimulation (n = 20). This made it possible to determine statistical entropy (S), internal energy (E), affinity (A), thermodynamic force (A / T) (T: temperature), thermodynamic flow (v) and entropy production rate (A / T x v). We found that PSV operated near equilibrium, i.e., A ≺≺ 2500 J/mol and in a stationary linear regime, i.e., (A / T) varied linearly with v. As v was dramatically low, entropy production rate which quantified irreversibility of chemical processes appeared to be the lowest ever observed in any contractile system.

References

  1. Physiol Rev. 1999 Jan;79(1):215-62 [PMID: 9922372]
  2. Adv Enzyme Regul. 1969;7:397-413 [PMID: 4391643]
  3. Circ Res. 1973 Mar;32(3):385-92 [PMID: 4691344]
  4. J Theor Biol. 2005 Aug 7;235(3):381-92 [PMID: 15882700]
  5. Microsc Res Tech. 1997 Jul 1-15;38(1-2):29-41 [PMID: 9260835]
  6. J Biol Chem. 1979 Jul 25;254(14):6538-47 [PMID: 36399]
  7. Proc Natl Acad Sci U S A. 1999 Apr 13;96(8):4402-7 [PMID: 10200274]
  8. Biophys Chem. 2002 Jun 19;97(2-3):87-111 [PMID: 12050002]
  9. Biochim Biophys Acta. 1989;1000:413-30 [PMID: 2673395]
  10. Am J Physiol Regul Integr Comp Physiol. 2004 Sep;287(3):R680-5 [PMID: 15142834]
  11. J Biol Chem. 2003 Oct 3;278(40):38132-40 [PMID: 12847096]
  12. Biochim Biophys Acta. 1974 Jun 20;354(1):1-10 [PMID: 4367846]
  13. Biochim Biophys Acta. 1998 Jun 10;1365(1-2):117-24 [PMID: 9693730]
  14. Am J Obstet Gynecol. 1965 Sep 15;93:253-8 [PMID: 14336655]
  15. Cell Tissue Res. 1995 Aug;281(2):231-42 [PMID: 7648618]
  16. PLoS One. 2014 Sep 30;9(9):e108814 [PMID: 25268142]
  17. Biochemistry. 1971 Dec 7;10(25):4617-24 [PMID: 4258719]
  18. Placenta. 2013 Dec;34(12):1163-9 [PMID: 24183754]
  19. J Theor Biol. 1998 Aug 21;193(4):593-9 [PMID: 9745755]
  20. Proc Natl Acad Sci U S A. 1969 Sep;64(1):211-8 [PMID: 5263005]
  21. Differentiation. 1994 May;56(3):191-9 [PMID: 8034134]
  22. Obstet Gynecol. 1996 Feb;87(2):163-8 [PMID: 8559516]
  23. IUBMB Life. 2002 Nov;54(5):241-52 [PMID: 12587974]
  24. C R Biol. 2011 Oct;334(10):725-36 [PMID: 21943522]
  25. Ann N Y Acad Sci. 1974;231(1):99-105 [PMID: 4522899]
  26. Placenta. 1985 Sep-Oct;6(5):405-15 [PMID: 2866507]
  27. Proc R Soc Lond B Biol Sci. 1949 Jun 23;136(883):195-211 [PMID: 18152150]
  28. J Obstet Gynaecol Br Commonw. 1974 Apr;81(4):307-10 [PMID: 4824689]
  29. Proc Biol Sci. 1991 Jun 22;244(1311):197-202 [PMID: 1679938]
  30. Proc Am Thorac Soc. 2008 Jan 1;5(1):40-6 [PMID: 18094083]
  31. Q Rev Biophys. 1971 Aug;4(2):107-48 [PMID: 4257403]
  32. Prog Biophys Biophys Chem. 1957;7:255-318 [PMID: 13485191]
  33. Anat Embryol (Berl). 1994 Dec;190(6):541-8 [PMID: 7534454]
  34. Cell Tissue Res. 1997 Dec;290(3):601-7 [PMID: 9369535]
  35. Am J Obstet Gynecol. 1979 Nov 15;135(6):707-12 [PMID: 158981]
  36. Placenta. 1995 Jan;16(1):57-66 [PMID: 7716128]
  37. J Biol Chem. 1974 Sep 25;249(18):5845-50 [PMID: 4369824]
  38. Eur J Biochem. 1980 Aug;109(1):269-83 [PMID: 7408881]
  39. J Biol Chem. 1990 Nov 25;265(33):20321-34 [PMID: 2147022]
  40. Placenta. 2011 May;32(5):347-55 [PMID: 21420731]

MeSH Term

Chorionic Villi
Electric Stimulation
Electromagnetic Fields
Entropy
Female
Humans
Linear Models
Models, Statistical
Muscle Contraction
Muscle, Smooth
Muscle, Striated
Placenta
Pregnancy
Probability
Temperature
Thermodynamics

Word Cloud

Created with Highcharts 10.0.0entropyenergyvproductionratesystemSMPSVn=/Tlinearregimestationarychemicalmattercanapplyingstatisticalpropertiescontractilehuman20thermodynamicienear-equilibriumsystemsevolvestatesconstantopenexchangesexterioridentifyflowsassociatedexchangeachievedmechanicslinksmicroscopicbulkcasetissuesplacentaHuxley'sequationsofferphenomenologicalformalisminvestigatedplacentalstemvilli40stimulatedmeansKClexposuretetanicelectricalstimulationmadepossibledetermineSinternalEaffinityforceT:temperatureflowxfoundoperatednearequilibrium≺≺2500J/molvariedlinearlydramaticallylowquantifiedirreversibilityprocessesappearedlowesteverobservedStatisticalMechanicsHumanPlacenta:StationaryStateNear-EquilibriumSystemLinearRegime

Similar Articles

Cited By