Characterization of bone collagen organization defects in murine hypophosphatasia using a Zernike model of optical aberrations

Kayvan Forouhesh Tehrani; Emily G. Pendleton; Bobby Leitmann; Ruth Barrow; Luke J. Mortensen

doi:10.1117/12.2290896

21 February 2018 Characterization of bone collagen organization defects in murine hypophosphatasia using a Zernike model of optical aberrations

Kayvan Forouhesh Tehrani, Emily G. Pendleton, Bobby Leitmann, Ruth Barrow, Luke J. Mortensen

Author Affiliations +

Proceedings Volume 10497, Imaging, Manipulation, and Analysis of Biomolecules, Cells, and Tissues XVI; 104971K (2018) https://doi.org/10.1117/12.2290896
Event: SPIE BiOS, 2018, San Francisco, California, United States

Abstract

Bone growth and strength is severely impacted by Hypophosphatasia (HPP). It is a genetic disease that affects the mineralization of the bone. We hypothesize that it impacts overall organization, density, and porosity of collagen fibers. Lower density of fibers and higher porosity cause less absorption and scattering of light, and therefore a different regime of transport mean free path. To find a cure for this disease, a metric for the evaluation of bone is required. Here we present an evaluation method based on our Phase Accumulation Ray Tracing (PART) method. This method uses second harmonic generation (SHG) in bone collagen fiber to model bone indices of refraction, which is used to calculate phase retardation on the propagation path of light in bone. The calculated phase is then expanded using Zernike polynomials up to 15th order, to make a quantitative analysis of tissue anomalies. Because the Zernike modes are a complete set of orthogonal polynomials, we can compare low and high order modes in HPP, compare them with healthy wild type mice, to identify the differences between their geometry and structure. Larger coefficients of low order modes show more uniform fiber density and less porosity, whereas the opposite is shown with larger coefficients of higher order modes. Our analyses show significant difference between Zernike modes in different types of bone evidenced by Principal Components Analysis (PCA).

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Kayvan Forouhesh Tehrani, Emily G. Pendleton, Bobby Leitmann, Ruth Barrow, and Luke J. Mortensen "Characterization of bone collagen organization defects in murine hypophosphatasia using a Zernike model of optical aberrations", Proc. SPIE 10497, Imaging, Manipulation, and Analysis of Biomolecules, Cells, and Tissues XVI, 104971K (21 February 2018); https://doi.org/10.1117/12.2290896

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KEYWORDS

Bone

Principal component analysis

Collagen

Second-harmonic generation

Optical aberrations

Refractive index

Harmonic generation

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