Abstract
In this paper we present a biomechanical model of isolated breast tumours under mammographic compression forces. We apply a range of reported mechanical properties, both linear elastic and hyperelastic. We also introduce a volume of increased density/stiffness around the tumour. These variables have a non-negligible effect on stresses and strains, as shown in this work.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Rajagopal, V., Nielsen, P.M.F., Nash, M.P.: Modeling breast biomechanics for multi-modal image analysis, successes and challenges. Wiley Interdisciplinary Reviews: Systems Biology and Medicine (2009)
Cherel, P., Becette, V., Hagay, C.: Stellate images: anatomic and radiologic correlations. European Journal of Radiology 54, 37–54 (2005)
Pathmanathan, P.: Predicting Tumour Location by Simulating the Deformation of the Breast using Nonlinear Elasticity and the Finite Element Method. University of Oxford (2006)
Hipwell, J.H., Tanner, C., Crum, W.R., Schnabel, J.A., Hawkes, D.J.: A New Validation Method for X-ray Mammogram Registration Algorithms Using a Projection Model of Breast X-ray Compression, Medical Imaging. IEEE Trans. 26(9), 1190–1200 (2007)
Provenzano, P.P., Inman, D.R., Eliceiri, K.W., Knittel, J.G., Yan, L., Rueden, C.T., White, J.G., Keely, P.J.: Collagen density promotes mammary tumor initiation and Progression. BMC Medicine 6, 11 (2008)
Wellman, P.S., Howe, R.D., Dalton, E., Kern, K.A.: Breast tissue stiffness in compression is correlated to histological diagnosis, Tech. Rep., Harvard BioRob Lab (1999)
Samani, A., Bishop, J., Luginbuhl, C., Plewes, D.B.: Measuring the elastic modulus of ex vivo small tissue samples. Phys. Med. Biol. 48, 2183–2198 (2003)
Samani, A., Plewes, D.B.: A method to measure the hyperelastic parameters of ex vivo breast tissue samples. Physics in Medicine and Biology 49, 4395–4405 (2004)
Samani, A., Plewes, D.B.: An inverse problem solution for measuring the elastic modulus of intact ex vivo breast tissue tumours. Phys. Med. Biol. 52, 1247–1260 (2007)
O’Hagan, J.J., Samani, A.: Measurement of the hyperelastic properties of 44 pathological ex vivo breast tissue samples. Phys. Med. Biol. 54, 2557–2569 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wessel, C., Schnabel, J.A., Brady, S.M. (2010). Towards More Realistic Biomechanical Modelling of Tumours under Mammographic Compressions. In: Martí, J., Oliver, A., Freixenet, J., Martí, R. (eds) Digital Mammography. IWDM 2010. Lecture Notes in Computer Science, vol 6136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13666-5_65
Download citation
DOI: https://doi.org/10.1007/978-3-642-13666-5_65
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13665-8
Online ISBN: 978-3-642-13666-5
eBook Packages: Computer ScienceComputer Science (R0)