Lung Mechanotransduction, the minuet of Biophysics (Part 2)

Aurio Fajardo-Campoverdi, Yolanda López-Fernández, Paulina Vivanco, Miguel Ibarra-Estrada, Alejandro González-Castro, Alberto Medina, Elena Ortega

Cite

Fajardo-Campoverdi A, López-Fernández Y, Vivanco P, Ibarra-Estrada M, González-Castro A, Medina A, Ortega E .  Lung Mechanotransduction, the minuet of Biophysics (Part 2). J Mech Vent 2025; 6(3):122-130.

Metrics

439 Downloads

Abstract

The dynamic processes associated with lung pathophysiology have always been explored from a traditionalist perspective. This review conceptualizes an amalgam of biological and biophysical concepts that aim to optimize the understanding of the pathophysiology associated with lung injury from a broader, more complex, and at the same time more complete perspective using arguments from the exact sciences. We hypothesize that the Anti-Zener model could be a more accurate potential explanatory model to support mechanotransduction.

The Anti-Zener model represents a more accurate and structured tool to describe the viscoelastic behavior of lung tissue, overcoming the limitations of classical models such as Young’s modules This approach allows a better understanding of pathophysiological processes in the respiratory system, which could optimize treatments for lung diseases such as ARDS and asthma. The integration of exact sciences in the study of lung viscoelasticity opens new possibilities for improving medical care and the design of biomedical materials.

Keywords:  Mechanotransduction, Young´s modulus, Zener model, Stress, Strain

References

71. Heil M, White JP. Airway closure: surface-tension-driven non-axisymmetric instabilities of liquid-lined elastic rings. Journal of Fluid Mechanics 2002 ; 462:79-109.
https://doi.org/10.1017/S0022112002008613
72. Larson R. The structure and rheology of complex fluids. New York: Oxford University Press; 1999.
73 Debbaut B, Hocq B. On the numerical simulation of axisymmetric swirling flows of differential viscoelastic liquids: the rod climbing effect and the Quelleffekt. Journal of Non-Newtonian Fluid Mechanics 1992; 43(1):103-126.
https://doi.org/10.1016/0377-0257(92)80019-T
74. Giesekus H. A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. Journal of Non-Newtonian Fluid Mechanics 1982; 11(1):69-109.
https://doi.org/10.1016/0377-0257(82)85016-7
75. Miller VR. Book Reviews : Vibration Damping: A.D. Nashif, D.I.G. Jones, J.P. Henderson Wiley-Intersctence Pub. John Wiley & Sons, New York, NY The Shock and Vibration Digest 1986; 18:16-17.
https://doi.org/10.1177/058310248601800306
76. Irwin JD, Graf ER. Industrial noise and vibration control. TA – TT -. Englewood Cliffs, N.J. SE . Prentice-Hall Englewood Cliffs, NJ; 1979.
77. Zener C. Elasticity and anelasticity of metals. TA – TT -. Chicago, Illinois SE. University of Chicago Press Chicago, Illinois; 1948.
78. Ge T, Huang XH, Guo YQ, et al. Investigation of mechanical and damping performances of cylindrical viscoelastic dampers in wide frequency range. actuators. 2021; 10(4).
https://doi.org/10.3390/act10040071
79. Williams ML, Landel RF, Ferry JD. The Temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 1955; 77(14):3701-3707.
https://doi.org/10.1021/ja01619a008
80. Barbero EJ, Ford KJ. Equivalent time temperature model for physical aging and temperature effects on polymer creep and relaxation. J Eng Mater Technol 2004; 126(4):413-419.
https://doi.org/10.1115/1.1789956
81. Zelleke DH, Elias S, Matsagar VA, et al. Supplemental dampers in base-isolated buildings to mitigate large isolator displacement under earthquake excitations. Bulletin of the New Zealand Society for Earthquake Engineering. 2015; 48(2):100-117.
https://doi.org/10.5459/bnzsee.48.2.100-117
82. Litewka P, Lewandowski R. Influence of elastic supports on non-linear steady-state vibrations of Zener material plates. AIP Conference Proceedings. 2018; 1922(1):100002.
https://doi.org/10.1063/1.5019087
83. Moreira RAS, Corte-Real JD, Rodrigues JD. A generalized frequency-temperature viscoelastic model. Shock and Vibration 2010; 17:463963.
https://doi.org/10.1155/2010/463963
84. Pawlak ZM, Denisiewicz A. Identification of the fractional Zener model parameters for a viscoelastic material over a wide range of frequencies and temperatures. Materials 2021; 14(22):7024.
https://doi.org/10.3390/ma14227024
PMid:34832422 PMCid:PMC8619617
85. Mahomed A, Hukins DWL, Kukureka SN. Effect of accelerated aging on the viscoelastic properties of a medical grade silicone. Biomed Mater Eng 2015; 25(4):415-423.
https://doi.org/10.3233/BME-151538
PMid:26407203
86. Garcia-Polite F, Martorell J, Rey-Puech P Del, et al. Pulsatility and high shear stress deteriorate barrier phenotype in brain microvascular endothelium. J Cereb Blood Flow Metab 2017; 37(7):2614-2625.
https://doi.org/10.1177/0271678X16672482
PMid:27702879 PMCid:PMC5531355
87. Menacho J, Rotllant L, Molins JJ, et al. Arterial pulse attenuation prediction using the decaying rate of a pressure wave in a viscoelastic material model. Biomech Model Mechanobiol 2018; 17(2):589-603.
https://doi.org/10.1007/s10237-017-0980-9
PMid:29168070 PMCid:PMC5845065
88. Covas D, Stoianov I, Mano JF, et al. The dynamic effect of pipe-wall viscoelasticity in hydraulic transients. Part II – Model development, calibration and verification. Journal of Hydraulic Research 2005; 43(1):56-70.
https://doi.org/10.1080/00221680509500111
89. Blaise A, André S, Delobelle P, et al. Advantages of a 3-parameter reduced constitutive model for the measurement of polymers elastic modulus using tensile tests. Mech Time Depend Mater 2016; 20(4):553-577.
https://doi.org/10.1007/s11043-016-9312-1
90. Bulíček M, Kaplický P, Steinhauer M. On existence of a classical solution to a generalized Kelvin-Voigt model. Pacific J of Math 2013; 262(1):11-33.
https://doi.org/10.2140/pjm.2013.262.11
91. Podlubny I. Fractional differential equations, mathematics in science and engineering. Academic press New York; 1999.
 
92. Ingo C, Magin RL, Parrish TB. New Insights into the fractional order diffusion equation using entropy and kurtosis. Entropy 2014; 16(11):5838-5852.
https://doi.org/10.3390/e16115838
PMid:28344436 PMCid:PMC5365032
93. Craiem D, Rojo FJ, Atienza JM, et al. Fractional-order viscoelasticity applied to describe uniaxial stress relaxation of human arteries. Phys Med Biol 2008; 53(17):4543.
https://doi.org/10.1088/0031-9155/53/17/006
PMid:18677037
94. Palomares JE, Rodriguez M, Castro JG. Determinación del orden fraccional en el modelo Zener para caracterizar los efectos biomecánicos ocasionados por el flujo sanguíneo. Rev Int Métodos Numér. Cálc. Diseño Ing 2017; 33(1-2):10-17.
https://doi.org/10.1016/j.rimni.2015.09.006
95. Demirci N, Tönük E. Non-integer viscoelastic constitutive law to model soft biological tissues to in-vivo indentation. Acta of Bioeng Biomech 2014; 16(4):13-21.
PMID: 25597890
96. Faffe DS, Zin WA. Lung parenchymal mechanics in health and disease. Physiol Rev 2009; 89(3):759-775.
https://doi.org/10.1152/physrev.00019.2007
PMid:19584312 PMCid:PMC7203567
97. Bayliss LE, Robertson GW. The visco-elastic properties of the lungs. Experimental Physiology 1939; 29(1):27-47.
https://doi.org/10.1113/expphysiol.1939.sp000792
98. Marshall R, Widdicombe JG. Stress relaxation of the human lung. Clinical Science 1961; 20:19-31.
99. Suki B, Barabasi AL, Lutchen KR. Lung tissue viscoelasticity: a mathematical framework and its molecular basis. J Appl Physiol 1994; 76(6):2749-2759.
https://doi.org/10.1152/jappl.1994.76.6.2749
PMid:7928910
100. Zhang M, Castaneda B, Wu Z, et al. Congruence of imaging estimators and mechanical measurements of viscoelastic properties of soft tissues. Ultrasound Med Biol 2007; 33(10):1617-1631.
https://doi.org/10.1016/j.ultrasmedbio.2007.04.012
PMid:17604902 PMCid:PMC2093922
101. Kohandel M, Sivaloganathan S, Tenti G, et al. Frequency dependence of complex moduli of brain tissue using a fractional Zener model. Phys Med Biol 2005; 50(12):2799.
https://doi.org/10.1088/0031-9155/50/12/005
PMid:15930603
102. Dai Z, Peng Y, Mansy HA, et al. A model of lung parenchyma stress relaxation using fractional viscoelasticity. Med Eng Phys 2015; 37(8):752-758.
https://doi.org/10.1016/j.medengphy.2015.05.003
PMid:26050200 PMCid:PMC8369918
103. Purslow PP, Wess TJ, Hukins DWL. Collagen orientation and molecular spacing during creep and stress-relaxation in soft connective tissues. J Exp Biol 1998; 201(1):135-142.
https://doi.org/10.1242/jeb.201.1.135
PMid:9390944
104. Mainardi F, Spada G. Creep, relaxation and viscosity properties for basic fractional models in rheology. European Physical Journal Special Topics 2011; 193(1):133-160.
https://doi.org/10.1140/epjst/e2011-01387-1
105. Barnes HA. A handbook of elementary rheology. Aberystwyth : University of Wales; 2000.
106. Flory PJ. Principles of Polymer Chemistry. Cornell University Press; 1953. (Baker lectures 1948).
107. Likhtman AE, Sukumaran SK, Ramirez J. Linear viscoelasticity from molecular dynamics simulation of entangled polymers. Macromolecules 2007; 40(18):6748-6757.
https://doi.org/10.1021/ma070843b
108. Kremer K, Grest GS. Dynamics of entangled linear polymer melts: A molecular‐dynamics simulation. J Chem Phys 1990; 92(8):5057-5086.
https://doi.org/10.1063/1.458541
109. de Gennes PG. Reptation of a Polymer Chain in the Presence of Fixed Obstacles. J Chem Phys 1971; 55(2):572-579.
https://doi.org/10.1063/1.1675789
110. Pokrovskii VN. Reptation and diffusive modes of motion of linear macromolecules. J Exp Theor Phys 2008; 106(3):604-607.
https://doi.org/10.1134/S1063776108030205
111. de Gennes PG. Brownian motions of flexible polymer chains. Nature 1979; 282(5737):367-370.
https://doi.org/10.1038/282367a0
112. Lakes RS, Wineman A. On Poisson’s ratio in linearly viscoelastic solids. J Elasticity 2006; 85(1):45-63.
https://doi.org/10.1007/s10659-006-9070-4