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Bridging Scales in Respiratory Mechanics

  • Conference paper
Computer Models in Biomechanics

Abstract

In this paper, we review different types of overall lung models developed recently in our group. The first approach is based on three-dimensional (3D) continuum models of both the airways and the tissue. As only parts of the lung can be resolved in detail in the model, advanced multi-scale techniques are utilized to adequately consider the unresolved parts. Alternatively, we have proposed a comprehensive reduced-dimensional lung model allowing to effectively study pressure and flow characteristics in the entire conducting region of the lung, albeit at the cost of detailed information on local tissue stresses and strains. To combine the advantages of detailed and simplified lung models, we have developed a novel approach for the coupling of 3D and 0D airway models.

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References

  • Al Jamal R, Roughley PJ, Ludwig MS (2001) Effect of glycosaminoglycan degradation on lung tissue viscoelasticity. Am J Physiol, Lung Cell Mol Physiol 280:L306–L315

    Google Scholar 

  • Amato MBP, Barbas CSV, Medeiros DM, Magaldi RB, Schettino GPP, Lorenzi-Filho G, Kairalla RA, Deheinzelin D, Munoz C, Oliveira R, Takagaki TY, Carvalho CRR (1998) Effect of a protective-ventilation strategy on mortality in the acute respiratory distress syndrome. N Engl J Med 338:347–354

    Article  Google Scholar 

  • Balzani D, Neff P, Schröder J, Holzapfel GA (2006) A polyconvex framework for soft biological tissues. Adjustment to experimental data. Int J Solids Struct 43:6052–6070

    Article  MATH  Google Scholar 

  • Bates J (2009) Lung mechanics: an inverse modeling approach. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Comerford A, Förster C, Wall WA (2010) Structured tree impedance outflow boundary conditions for 3D lung simulations. J Biomech Eng 132:081002

    Article  Google Scholar 

  • Denny E, Schroter RC (2000) Viscoelastic behavior of a lung alveolar duct model. J Biomech Eng 112:143–151

    Article  Google Scholar 

  • Denny E, Schroter RC (2006) A model of non-uniform lung parenchyma distortion. J Biomech 39:652–663

    Article  Google Scholar 

  • DiRocco JD, Carney DE, Nieman GF (2005) The mechanism of ventilator-induced lung injury: role of dynamic alveolar mechanics. In: Yearbook of intensive care and emergency medicine 2005, vol 2005, pp 80–92, Part 2

    Chapter  Google Scholar 

  • Feyel F, Chaboche J-L (2000) FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Comput Methods Appl Mech Eng 183:309–330

    Article  MATH  Google Scholar 

  • Gee MW, Küttler U, Wall WA (2010) Truly monolithic algebraic multigrid for fluid-structure interaction. Int J Numer Methods Eng 85:987–1016

    Article  Google Scholar 

  • Geers MGD, Kouznetsova V, Brekelmans WAM (2010) Multi-scale computational homogenization: trends & challenges. J Comput Appl Math 234:2175–2182

    Article  MATH  Google Scholar 

  • Gefen A, Halpern P, Shiner RJ, Schroter RC, Elad D (2001) Analysis of mechanical stresses within the alveolar septa leading to pulmonary edema. Technol Health Care 9:257–267

    Google Scholar 

  • Gravemeier V, Yoshihara L, Comerford A, Ismail M, Wall WA (2012) Neumann inflow boundary conditions in biomechanics. Int J Numer Methods Biomed Eng 28:560–573

    Article  MathSciNet  MATH  Google Scholar 

  • Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61:1–48

    Article  MathSciNet  MATH  Google Scholar 

  • Horsfield K, Dart G, Olson D, Filley G, Cumming G (1971) Models of the human bronchial tree. J Appl Physiol 31:207–217

    Google Scholar 

  • Ismail M, Comerford A, Wall W (2012a) Coupled and reduced dimensional modeling of respiratory mechanics during spontaneous breathing. Int J Numer Methods Biomed Eng (submitted)

    Google Scholar 

  • Ismail M, Gravemeier V, Comerford A, Wall W (2012b) A computational approach for simulating coupled 3D–0D biofluid networks using Neumann inflow boundary conditions (in preparation)

    Google Scholar 

  • Kouznetsova V, Brekelmans WAM, Baaijens FPT (2001) An approach to micro-macro modeling of heterogeneous materials. Comput Mech 27:37–48

    Article  MATH  Google Scholar 

  • Kowe R, Schroter RC, Matthews FL, Hitchings D (1986) Analysis of elastic and surface tension effects in the lung alveolus using finite element methods. J Biomech 19:541–549

    Article  Google Scholar 

  • Küttler U, Gee MW, Förster C, Comerford A, Wall WA (2010) Coupling strategies for biomedical fluid-structure interaction problems. Int J Numer Methods Biomed Eng 26:305–321

    Article  MathSciNet  MATH  Google Scholar 

  • Lambert RK, Wilson TA, Hyatt RE, Rodarte JR (1982) A computational model for expiratory flow. Respir Physiol 52:44–56

    Google Scholar 

  • Mead J, Takishima T, Leith D (1970) Stress distribution in lungs: a model of pulmonary elasticity. J Appl Physiol 28:596–608

    Google Scholar 

  • Miehe C (2003) Computational micro-to-macro transitions for discretized microstructures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Comput Methods Appl Mech Eng 192:559–591

    Article  MathSciNet  MATH  Google Scholar 

  • Otis DR, Ingenito EP, Kamm RD, Johnson M (1994) Dynamic surface tension of surfactant TA: experiments and theory. J Appl Physiol 77:2681–2688

    Google Scholar 

  • Pedley TJ, Schroter RC, Sudlow MF (1970) The prediction of pressure drop and variation of resistance within the human bronchial airways. Respir Physiol 9:387–405

    Article  Google Scholar 

  • Peric D, de Souza Neto EA, Feijoo RA, Partovi M, Molina AJC (2010) On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation. Int J Numer Methods Eng 87:149–170

    Article  Google Scholar 

  • Ranieri VM, Suter PM, Tortorella C, De Tullio R, Dayer JM, Brienza A, Bruno F, Slutsky AS (1999) Effect of mechanical ventilation on inflammatory mediators in patients with acute respiratory distress syndrome: a randomized controlled trial. J Am Med Assoc 282:54–61

    Article  Google Scholar 

  • Rausch S, Haberthuer D, Stampanoni M, Schittny JC, Wall WA (2011a) Local strain distribution in real three-dimensional alveolar geometries. Ann Biomed Eng 39:2835–2843

    Article  Google Scholar 

  • Rausch S, Martin C, Bornemann PB, Uhlig S, Wall WA (2011b) Material model of lung parenchyma based on living precision-cut lung slice testing. J Mech Beh Biomed Mat 4:583–592

    Article  Google Scholar 

  • Tawhai MH, Pullan AH, Hunter PJ (2000) Generation of an anatomically based three-dimensional model of the conducting airways. Ann Biomed Eng 28:793–802

    Article  Google Scholar 

  • Tsushima K, King LS, Aggarwal NR, De Gorordo A, D’Alessio FR, Kubo K (2009) Acute lung injury review. Int Med 48:621–630

    Article  Google Scholar 

  • van Ertbruggen C, Hirsch C, Paiva M (2005) Anatomically based three-dimensional model of airways to simulate flow and particle transport using computational fluid dynamics. J Appl Physiol 98:970–980

    Article  Google Scholar 

  • Wall WA, Rabczuk T (2008) Fluid-structure interaction in lower airways of CT-based lung geometries. Int J Numer Methods Fluids 57:653–675

    Article  MathSciNet  MATH  Google Scholar 

  • Wiechert L, Wall WA (2010) A nested dynamic multi-scale approach for 3D problems accounting for micro-scale multi-physics. Comput Methods Appl Mech Eng 199:1342–1351

    Article  MathSciNet  MATH  Google Scholar 

  • Wiechert L, Rabczuk T, Comerford A, Metzke R, Wall WA (2008) Towards stresses and strains in the respiratory system. ESAIM Proc 23:98–113

    Article  MathSciNet  MATH  Google Scholar 

  • Wiechert L, Metzke R, Wall WA (2009) Modeling the mechanical behavior of lung tissue at the microlevel. J Eng Mech 135:434–438

    Article  Google Scholar 

  • Yoshihara L, Wall WA (2012) Fluid-structure interaction including volume coupling of homogenized subdomains for treating artificial boundaries (in preparation)

    Google Scholar 

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Acknowledgements

Support by the German Science Foundation/Deutsche Forschungsgemeinschaft (DFG) through projects WA1521/6-2, WA1521/9-2, and WA1521/9-2 within the priority program ‘Protective Artificial Respiration’ (PAR) is gratefully acknowledged.

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Authors and Affiliations

  1. Institute for Computational Mechanics, Technische Universität München, Boltzmannstr. 15, 85747, Garching, Germany

    Lena Yoshihara, Mahmoud Ismail & Wolfgang A. Wall

Authors
  1. Lena Yoshihara
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  2. Mahmoud Ismail
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  3. Wolfgang A. Wall
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Corresponding author

Correspondence to Wolfgang A. Wall .

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Editors and Affiliations

  1. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronegasse 5-I, Graz, 8010, Austria

    Gerhard A. Holzapfel

  2. Dept. Mechanical Engineering, Dept. of Bioengineering (courtesy), Stanford University, Lomita Mall 496, Stanford, 94305-4040, California, USA

    Ellen Kuhl

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© 2013 Springer Science+Business Media Dordrecht

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Yoshihara, L., Ismail, M., Wall, W.A. (2013). Bridging Scales in Respiratory Mechanics. In: Holzapfel, G., Kuhl, E. (eds) Computer Models in Biomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_28

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  • DOI: https://doi.org/10.1007/978-94-007-5464-5_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5463-8

  • Online ISBN: 978-94-007-5464-5

  • eBook Packages: EngineeringEngineering (R0)

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