Abstract
Patient-specific respiratory motion modeling may help to understand pathophysiology and predict therapy planning. The respiratory motion modifies the shape and position of internal organs. This may degrade the quality of such medical acts as radiotherapy or laparoscopy. Predicting the breathing movement is complex, and it is considered as one of the most challenging areas of medical research. This paper presents a biomechanical model of the respiratory system, based on the finite element method (FEM), including the biomechanical behavior of the diaphragm as well as rib kinematics computations, on the assumption that breathing is controlled by two independent actors: the thorax and diaphragm muscles. In order to predict the type of the (geometrical or material) nonlinearities, a quantitative comparison of the clinical data was applied on 12 patients. We propose two nonlinear hyperelastic models: the Saint-Venant Kirchhoff and Mooney–Rivlin models. Our results demonstrate that the nonlinear hyperelastic Mooney–Rivlin model of the diaphragm behaves similarly to the linear elastic model with large displacement (Saint-Venant Kirchhoff). The results suggest that the approach of small strains (within the large displacement) may be globally maintained in the modeling of the diaphragm, and demonstrate that the accuracy of the proposed FEM is capable to predict the respiratory motion with an average surface error in a diaphragm/lungs region of interest contact of 2. 0 ± 2. 3 mm for the contact surface between lungs and diaphragm. The comparison study between the FEM simulations and the CT scan images demonstrates the effectiveness of our physics-based model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The FE code Abaqus is developed by SIMULIA.
References
Ehrhardt, J., Lorenz, C.: 4D modeling and estimation of respiratory motion for radiation therapy. Springer, Berlin (2013). ISBN 978-3-642-36441-9
Wu, K.L., Jiang, G.L., Liao, Y., Qian, H., Wang, L.J., Fu, X.L., Zhao, S.: Threedimensional conformal radiation therapy for non-small-cell lung cancer: a phase I/II dose escalation clinical trial. Int. J. Rad. Oncol. Biol. Phys. 57(5), 1336–1344 (2003)
Sura, S., Gupta, V., Yorke, E., Jackson, A., Amols, H., Rosenzweig, K.E.: Intensity modulated radiation therapy (IMRT) for inoperable non-small cell lung cancer: the Memorial Sloan-Kettering Cancer Center (MSKCC) experience. Radiother. Oncol. 87(1), 17–23 (2008)
Hiraoka, M., Matsuo, Y., Takayama, K.: Stereotactic body radiation therapy for lung cancer: achievements and perspectives. Jpn. J. Clin. Oncol. 40(9), 846–854 (2010)
Nakayama, H., Sugahara, S., Tokita, M., Satoh, H., Tsuboi, K., Ishikawa, S., Tokuuye, K.: Proton beam therapy for patients with medically inoperable stage I non-small-cell lung cancer at the university of Tsukuba. Int. J. Radiat. Oncol. Biol. Phys. 78(2), 467–471 (2010)
Shirato, H., et al.: Speed and amplitude of lung tumor motion precisely detected in four-dimensional setup and in real-time tumor-tracking radiotherapy. Int. J. Rad Onco Biol. Phys. 64(4), 1229–1236 (2006)
Promayon, E., Baconnier, P.: A 3D discrete model of the diaphragm and human trunk. In: ESAIM: Proceedings, pp. 66–77 (2008)
Villard, P.F., Bourne, W., Bello, F.: Interactive simulation of diaphragm motion through muscle and rib kinematics. In: Recent Advances in the 3D Physiological Human, pp. 91–103. Springer, London (2009)
Hostettler, A., George, D., Rémond, Y., Nicolau, S.A., Soler, L., Marescaux, J.: Bulk modulus and volume variation measurement of the liver and the kidneys in vivo using abdominal kinetics during free breathing. Comput. Methods Programs Biomed. 100(2), 149–157 (2010)
Fuerst, B., et al.: A personalized biomechanical model for respiratory motion prediction. MICCAI 15(3), 566–573 (2012)
Behr, M., Pérès, J., Llari, M., Godio, Y., Jammes, Y., Brunet, C.: A three-dimensional human trunk model for the analysis of respiratory mechanics. J. Biomech. Eng. 132, 014501-1-014501-4 (2010)
Pato, M., et al.: Finite element studies of the mechanical behaviour of the diaphragm in normal and pathological cases. CMBBE 14(6), 505–513 (2011)
Cluzel, P., Similovsky, T., Lefebvre, C., Zelter, M., Derenne, J.P., Grenier, P.: Diaphragm and chest wall: assessment of the inspiratory pump with MR imaging - preliminary observations. Radiology 215, 574–583 (2000)
Didier, A.L., Villard, P.F., Saade, J., Moreau, J.M., Beuve, M., Shariat, B.: A chest wall model based on rib kinematics. In: IEEE ICV, pp. 159–164 (2009)
Ladjal, H., Shariat, B., Azencot, J., Beuve, M.: Appropriate biomechanics and kinematics modeling of the respiratory system: human diaphragm and thorax. In: IEEE IROS (2013)
Kimpara, H., et al.: Development of a three-dimensional finite element chest model for the 5(th) percentile female. Stapp Car Crash J. 49, 251–269 (2005)
Abe, H., Hayashi, K., Sato, M. (eds.): Data Book on Mechanical Properties of Living Cells, Tissues, and Organs. Springer (1996)
Yamada, H.: In: Evean, F.G. (ed.) Strength of Biological Materials. The Williams & Wilkins Company, Baltimore (1970)
Acknowledgements
This research was supported by the ENVISION project (co-funded by the European Commission under the FP7 Collaborative Projects Grant Agreement Nr. 241851FP7), by ETOILE’s Research Program (PRRH/UCBL, under CPER 2007-13 funding) and by the LABEX PRIMES (ANR-11-LABX-0063), within the program “Investissements d’Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Ladjal, H., Azencot, J., Beuve, M., Giraud, P., Moreau, J.M., Shariat, B. (2015). Biomechanical Modeling of the Respiratory System: Human Diaphragm and Thorax. In: Doyle, B., Miller, K., Wittek, A., Nielsen, P. (eds) Computational Biomechanics for Medicine. Springer, Cham. https://doi.org/10.1007/978-3-319-15503-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-15503-6_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15502-9
Online ISBN: 978-3-319-15503-6
eBook Packages: EngineeringEngineering (R0)