- Open Access
Quantitative comparison of myocardial fiber structure between mice, rabbit, and sheep using diffusion tensor cardiovascular magnetic resonance
© Healy et al; licensee BioMed Central Ltd. 2011
- Received: 4 May 2011
- Accepted: 25 November 2011
- Published: 25 November 2011
Accurate interpretations of cardiac functions require precise structural models of the myocardium, but the latter is not available always and for all species. Although scaling or substitution of myocardial fiber information from alternate species has been used in cardiac functional modeling, the validity of such practice has not been tested.
Fixed mouse (n = 10), rabbit (n = 6), and sheep (n = 5) hearts underwent diffusion tensor imaging (DTI). The myocardial structures in terms of the left ventricular fiber orientation helix angle index were quantitatively compared between the mouse rabbit and sheep hearts.
The results show that significant fiber structural differences exist between any two of the three species. Specifically, the subepicardial fiber orientation, and the transmural range and linearity of fiber helix angles are significantly different between the mouse and either rabbit or sheep. Additionally, a significant difference was found between the transmural helix angle range between the rabbit and sheep. Across different circumferential regions of the heart, the fiber orientation was not found to be significantly different.
The current study indicates that myocardial structural differences exist between different size hearts. An immediate implication of the present findings for myocardial structural or functional modeling studies is that caution must be exercised when extrapolating myocardial structures from one species to another.
- Diffusion Tensor Imaging
- Fiber Orientation
- Helix Angle
- Myocardial Fiber
- Myocardial Structure
Computational studies are increasingly used to help interpret empirical measurements or to investigate functions of the body beyond experimental limitations. Because structures of the myocardium such as the fiber orientation play a deterministic role in its material properties and functional behaviours, accurate simulations of cardiac functions require precise anatomical models of the myocardium. Anatomy-based models of the myocardium have been used in computational studies of both electrophysiology [1, 2] and mechanics [3–5] of the heart. In electrophysiological studies, utilizing anisotropic fiber orientation information has led to improved predictions of the electrical activity in the heart [2, 6]. Similarly, incorporation of fiber structure into mechanical models has helped better explain the structure-function relationships [7, 8].
Despite the significance of the information, measuring myocardial fiber orientation can be difficult, the key challenges being the small size (notably for the mouse) and availability of specimens (for humans). Tissue structures including myocardial fiber orientations are conventionally measured using histology [9–13]. By characterizing the anisotropy of water diffusion exerted by the molecular environment, cardiovascular magnetic resonance (CMR) diffusion tensor imaging (DTI)  has emerged as a viable alternative with the advantages of being non-destructive, relatively convenient, and inherently 3D. Across the spectrum of species, the practical feasibility of DTI for characterizing the fixed mouse heart has been demonstrated . In contrast, applications of DTI on the human heart are largely limited to in vivo studies [16–18], which, due to technical limitations, continue to have relatively low spatial resolution and measurement quality.
Two approaches have been undertaken to circumvent the difficulties of acquiring subject-specific, or at least species-specific, structural information for modeling. First, generalized approximations of the structures are used. The most common examples of this approach include the prolate spheroidal representation  and the linearly varying (as a function of transmural depth) myocardial fiber orientation of the left ventricular myocardium [19, 20]. Second, when species-specific information is unavailable (e.g., in the cases of mouse and human hearts), the myocardial structure for the species is simply substituted by that from another [4, 21]. The obvious drawback of either approach, especially the second one, is that its validity is essentially untested, due to the very same reason of scarcity that prompted its use. To date, although myocardial structures have been examined using DTI and other techniques in individual species, few studies have systematically and quantitatively investigated their variability across different species. The dissimilar methodologies (e.g., specimen preparation, scan parameters, myocardial regions and structural parameters examined) employed among different studies make direct comparisons difficult, even for a retrospective study. There has been one anecdotal report comparing a single human heart to a group average of canine hearts , which found that the human heart appeared more different than the canine hearts were from one another, though the statistical significance was undetermined.
The goals of the current study are to perform a systematic comparison of the myocardial structures, as characterized by DTI, among different species, and to test the validity of modeling the myocardium of one species using the known parameters from another. Because of the high number of animal species in existence, a comprehensive study of this kind is practically prohibitive. Instead, the study focuses on 3 species spanning the spectrum of the size of the heart, including the mouse (small), rabbit (medium), and sheep (large), which have all been used in both experimental and computational studies of cardiac functions.
DTI datasets of fixed, intact normal mouse (male 129/ola strain, n = 10), rabbit (male New Zealand, n = 6) and sheep (castrated male Dorsett, n = 5) hearts were retrospectively obtained from unrelated studies [15, 23, 24] that were all approved by the appropriate Institutional Animal Care and Use Committees at the respective institutions (see referenced studies for details). Inclusion of all available data was considered more important than the unequal sample size, which can be accounted for through the statistical analysis. Rabbit and mouse hearts were flushed with saline and fixed in formalin immediately after excision. The sheep hearts were perfused with KCl prior to a saline flush. None of the hearts were fixed with left ventricular transmural stress, so their conformation approximately corresponded to either the end-systolic (for the mouse and rabbit hearts) or beginning-diastolic (sheep hearts) state.
Anatomical, imaging and computed parameters for DTI scans on the mouse, rabbit, and sheep hearts.
Mouse (n = 10)
Rabbit (n = 6)
Sheep (n = 5)
6.7 ± 0.5 mm
19.5 ± 1.9 mm
76.6 ± 6.8 mm
LV wall thickness
1.5 ± 0.4 mm
3.9 ± 0.5 mm
12.5 ± 1.1 mm
Scanner field strength
RF Coil diameter
Diffusion pulse width
Diffusion pulse separation
Diffusion weighting b factor
LV wall thickness in pixels
15.6 ± 3.6
15.7 ± 2.0
16.0 ± 1.4
SNR of non-weighted scan
95 ± 15
102 ± 32
125 ± 34
To obtain anatomically matching regions-of-interest (ROIs) for consistency of the analysis, the cardiac volumes were realigned via rigid body rotation using nearest neighbour interpolation so that the long axis of the left ventricle (LV) was approximately perpendicular to the image slices (i.e., the image slices corresponded to the true short-axis slices of the heart). The long axis was defined as the straight line connecting the apex of the heart through the approximate location of the tissue between the mitral and aortic valve as visually determined for each heart . Myocardial structure represented by fiber helix angle was obtained in the mid-hemispheric region of each specimen where the LV was mostly cylindrical and can be most consistently and easily identified among the species. The myocardial fiber orientation helix angle was calculated as the inclination angle of the projection of the diffusion tensor principal eigenvector with respect to the circumferential imaging plane .
Once the transmural fiber helix angles were sampled, each trajectory was processed for consistent demarcation of the epicardium and endocardium end-points. The epicardial end-point was taken as the minimum in the helix angle trajectory. The determination of the endocardial end-point was sometimes complicated by the presence of papillary muscles. Since in these instances the papillary muscle gave rise to a plateau in the helix angle trajectory, the beginning of the plateau was chosen as the endocardial cut-off. Following the definition of the two end-points, the helix angle trajectory was fitted to a straight line. The fitted y-intercept and r-squared value were used as the subepicardial fiber orientation and a metric of the linearity of the transmural rotation of the LV helix angle, respectively. Additionally, the range of the helix angles from the epicardium to the endocardium was computed to quantify the amount of transmural fiber rotation. The range was picked instead of the slope in order to eliminate the need for normalization based on wall thickness. The helix angle parameters for all trajectories in each ROI were then averaged for each animal.
Finally, to investigate the inter-species and inter-ROI variability of the myocardial structure, SAS™ software was used to fit a linear mixed model to the data and determine significance through the appropriate f or t-test using procedure MIXED (SAS Inst. Inc., Cary, NC). The different species and regions of interest were treated as fixed factors while the individual animal was treated as a random factor. The effect of the interactions between the species and region as well as the subepicardial helix angle, linearity of transmural rotation, and range of helix angle were tested. A p-value of 0.05 was considered significant.
Measured myocardial fiber orientation.
Lateral free wall
Anterior free wall
Posterior free wall
129.8 ± 12.9
124.2 ± 18.8
127.7 ± 16.7
123.5 ± 17.9
82.5 ± 17.9
75.8 ± 15.2
72.7 ± 19.1
78.7 ± 12.8
59.5 ± 16.1
58.2 ± 14.2
52.1 ± 14.3
58.1 ± 15.5
Subepicardial Helix Angle
-58.6 ± 9.53
-50.2 ± 14.7
-35.9 ± 14.6
-46.9 ± 14.4
-42.6 ± 14.9
-29.9 ± 14.6
-27.7 ± 11.4
-23.7 ± 13.9
-28.2 ± 19.2
-30.2 ± 8.74
-24.3 ± 9.64
-26.6 ± 9.26
0.98 ± 0.011
0.99 ± 0.011
0.97 ± 0.025
0.98 ± 0.017
0.93 ± 0.14
0.94 ± 0.038
0.94 ± 0.050
0.97 ± 0.028
0.91 ± 0.070
0.95 ± 0.044
0.95 ± 0.055
0.94 ± 0.052
Summary of mixed analysis comparison of myocardial fiber orientation helix angle parameters in Table 2.
Subepicardial Helix Angle
Comparisons of the fiber helix angles indicate that there are significant myocardial fiber structural differences between any given two of the three species included in the current study. Specifically, the range of helix angles is larger, the subepicardial helix angle is significantly more negative, and the transmural course of the helix angle is more linear in mouse than in rabbit or sheep. Additionally, the range of the helix angles is significantly different between the rabbit and sheep, although neither the subepicardial angle nor the transmural linearity was significantly different between the two species. These findings strongly suggest that there exists species-dependent variability the myocardial fiber structure, at least in the LV as a function of animal size. This species-dependent variability would suggest differences are likely between human and animal myocardial fiber structure as well. An immediate implication of the finding is that cross-species substitution of myocardial fiber structural models is not a valid modeling practice.
The exact functional implications of the fiber structural differences among species are currently unclear, and are an obvious direction for future investigation. Based on the known structure-function relationships of the myocardium, at a minimum, one likely biomechanical impact of differing fiber structure is altered ventricular torsion. Since the transmural rotation of the myocardial fiber orientation is linked to the twisting motion of the heart , it is reasonable to predict that greater ventricular torsion would be associated with the larger transmural range of fiber helix angle found in smaller hearts. The increased torsion, in turn, would help compensate for the fewer myocytes spanning the ventricular thickness in maintaining the contractile efficiency. Indeed, a recent study on wall motion  indicated that there were significant variations among mouse, rat, and human hearts, specifically that latter had smaller torsion than either of the former two. Since human hearts are closer in size to sheep hearts, a possible explanation for the difference could be the size-dependent difference of the fiber structure.
One possible limitation of the current study exists in the different preparation of the fixed heart specimens, that the sheep hearts were perfused with KCl and thus fixed in the beginning-diastole state. In a previous study , it was determined that there was no significant difference between hearts fixed in an end diastolic and beginning systolic state but there was between the end diastolic and end systolic states. The differences in the myocardial fiber angles between different cardiac states were mainly attributed to the presence or absence of intraventricular volume. Consequently, because all heart specimens were fixed without intraventricular volume (or transmural stress) in the present study, perfusion with KCl is unlikely the cause of the different myocardial fiber structures observed between the sheep and either rabbit or mouse hearts.
A second potential limitation of the present study may exist in the inadvertent misalignment (e.g., in the determination of the cardiac long axis) of the image data, which would introduce systematic errors in the myocardial fiber angular measurements. To investigate the degree to which such misalignment could impact the current measurements, the image data of selected hearts were deliberately tilted in the left-right or anterior-posterior axis by 10°, and the angular measurements were repeated in all circumferential regions of the hearts. The results (not shown) indicate that the deliberate misalignment introduced statistically insignificant differences in all measurements, including the transmural range and linearity of the helix angle. One the one hand, the error in determining the cardiac long axis was estimated to be less than 10°. On the other hand, in the extreme case that the misalignment occurs in either the left-right or anterior-posterior axis, which would cause maximum systematic errors in angular measurements in the regions along the same axis, the effects were found to be insignificant. Therefore, the myocardial fiber structural differences observed in the current study are unlikely a result of errors in the alignment of the data.
Finally, it is worth noting that the methodology of data analysis employed in the current study relied on manual registration and ROI-based comparisons, which are commonly used in both DTI [23, 31, 32] and non-DTI [10, 33] studies of myocardial fiber structures. Advances in computational anatomy have made it possible to achieve more precise image data registration and perform voxel-based analysis via techniques such as large deformation diffeomorphic metric mapping (LDDMM) . Moreover, besides the fiber structure, the myocardial laminar or sheet structure  has been a subject of recent DTI studies [35–37]. These areas of investigation, including their technical challenges (e.g., increased likelihood of false positive differences when performing a large number of comparisons), are beyond but not precluded by the scope and findings of the current study. Conversely, studies either using more sophisticated data analysis techniques or examining more dimensionalities of the data likely will uncover details that only underscore the present findings, that significant differences exist in the myocardial structures among different species.
In summary, significant differences in the myocardial fiber structure as represented by the fiber helix angle were observed between any two of the three species investigated in the current study. The range of the helix angle, subepicardial helix angle, and linearity of the transmural rotation of the helix angle through the left ventricle were all significantly different between the mouse and rabbit and between mouse and sheep. Similarly, the transmural range of the helix angles was significantly different between the rabbit and the sheep. Although how these findings can be generalized to species not included in the current study is unclear, there is indication that myocardial structural differences exist between different size hearts. An immediate implication of the present findings for myocardial structural or functional modeling studies is that caution must be exercised when extrapolating myocardial structures from one species to another.
The authors would like to thank Drs. K Pandya, O. Smithies, I. Haber, P. Del Nido, J. Guccione, and M. Ratcliffe for providing the heart specimens. This study was supported by grants National Institutes of Health grants P41-RR05959, R01-HL092055, P41-RR12553, and the University of Utah Seed Grant program.
- Tranquillo JV, Hlavacek J, Henriquez CS: An integrative model of mouse cardiac electrophysiology from cell to torso. Europace. 2005, 7 (Suppl 2): 56-70.View ArticlePubMedGoogle Scholar
- Hooks DA: Myocardial segment-specific model generation for simulating the electrical action of the heart. Biomed Eng Online. 2007, 6: 21-10.1186/1475-925X-6-21.PubMed CentralView ArticlePubMedGoogle Scholar
- Guccione JM, McCulloch AD, Waldman LK: Passive material properties of intact ventricular myocardium determined from a cylindrical model. J Biomech Eng. 1991, 113: 42-55. 10.1115/1.2894084.View ArticlePubMedGoogle Scholar
- Wang Y, Haynor DR, Kim Y: An investigation of the importance of myocardial anisotropy in finite-element modeling of the heart: methodology and application to the estimation of defibrillation efficacy. IEEE Trans Biomed Eng. 2001, 48: 1377-1389. 10.1109/10.966597.View ArticlePubMedGoogle Scholar
- Niederer SA, Buist ML, Pullan AJ, Smith NP: Computing work in the ischemic heart. Conf Proc IEEE Eng Med Biol Soc. 2004, 5: 3646-3649.PubMedGoogle Scholar
- Roberts DE, Hersh LT, Scher AM: Influence of cardiac fiber orientation on wavefront voltage, conduction velocity, and tissue resistivity in the dog. Circ Res. 1979, 44: 701-712.View ArticlePubMedGoogle Scholar
- Guccione JM, McCulloch AD: Mechanics of active contraction in cardiac muscle: Part I--Constitutive relations for fiber stress that describe deactivation. J Biomech Eng. 1993, 115: 72-81. 10.1115/1.2895473.View ArticlePubMedGoogle Scholar
- Guccione JM, Waldman LK, McCulloch AD: Mechanics of active contraction in cardiac muscle: Part II--Cylindrical models of the systolic left ventricle. J Biomech Eng. 1993, 115: 82-90. 10.1115/1.2895474.View ArticlePubMedGoogle Scholar
- LeGrice IJ, Hunter PJ, Smaill BH: Laminar structure of the heart: a mathematical model. Am J Physiol. 1997, 272: H2466-2476.PubMedGoogle Scholar
- Streeter DD, Spotnitz HM, Patel DP, Ross J, Sonnenblick EH: Fiber orientation in the canine left ventricle during diastole and systole. Circ Res. 1969, 24: 339-347.View ArticlePubMedGoogle Scholar
- Nielsen PM, Le Grice IJ, Smaill BH, Hunter PJ: Mathematical model of geometry and fibrous structure of the heart. Am J Physiol. 1991, 260: H1365-1378.PubMedGoogle Scholar
- LeGrice IJ, Smaill BH, Chai LZ, Edgar SG, Gavin JB, Hunter PJ: Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am J Physiol. 1995, 269: H571-582.PubMedGoogle Scholar
- Vetter FJ, McCulloch AD: Three-dimensional analysis of regional cardiac function: a model of rabbit ventricular anatomy. Prog Biophys Mol Biol. 1998, 69: 157-183. 10.1016/S0079-6107(98)00006-6.View ArticlePubMedGoogle Scholar
- Basser PJPC: Microstructural and Physiological Features of Tissues Elucidated by Quantitative-Dicusion-Tensor MRI. Journal of Magnetic Resonance. 1996, 111: 209-219.View ArticlePubMedGoogle Scholar
- Jiang Y, Pandya K, Smithies O, Hsu EW: Three-dimensional diffusion tensor microscopy of fixed mouse hearts. Magn Reson Med. 2004, 52: 453-460. 10.1002/mrm.20191.View ArticlePubMedGoogle Scholar
- Wu MT, Tseng WY, Su MY, Liu CP, Chiou KR, Wedeen VJ, Reese TG, Yang CF: Diffusion tensor magnetic resonance imaging mapping the fiber architecture remodeling in human myocardium after infarction: correlation with viability and wall motion. Circulation. 2006, 114: 1036-1045. 10.1161/CIRCULATIONAHA.105.545863.View ArticlePubMedGoogle Scholar
- Tseng WY, Reese TG, Weisskoff RM, Wedeen VJ: Cardiac diffusion tensor MRI in vivo without strain correction. Magn Reson Med. 1999, 42: 393-403. 10.1002/(SICI)1522-2594(199908)42:2<393::AID-MRM22>3.0.CO;2-F.View ArticlePubMedGoogle Scholar
- Dou J, Tseng WY, Reese TG, Wedeen VJ: Combined diffusion and strain MRI reveals structure and function of human myocardial laminar sheets in vivo. Magn Reson Med. 2003, 50: 107-113. 10.1002/mrm.10482.View ArticlePubMedGoogle Scholar
- Taber LA, Yang M, Podszus WW: Mechanics of ventricular torsion. J Biomech. 1996, 29: 745-752. 10.1016/0021-9290(95)00129-8.View ArticlePubMedGoogle Scholar
- Lui F, Lu WX, Xia L, Wu GH: The constrcution of three-dimensional composite finite element mechanical model of human left ventricle. JSME International Journal Series C Mechanical Systems Macnine Elements & Manufacturing. 2001, 44: 125-133.View ArticleGoogle Scholar
- Sermesant M, Delingette H, Ayache N: An electromechanical model of the heart for image analysis and simulation. IEEE Trans Med Imaging. 2006, 25: 612-625.View ArticlePubMedGoogle Scholar
- Peyrat JM, Sermesant M, Pennec X, Delingette H, Xu C, McVeigh ER, Ayache N: Statistical Comparison of Cardiac Fibre Architectures. Functional Imaging and Modeling of the Heart. 2007, Springer Berlin/Heidelberg, 4466/2007: 413-423.View ArticleGoogle Scholar
- Jiang Y, Guccione JM, Ratcliffe MB, Hsu EW: Transmural heterogeneity of diffusion anisotropy in the sheep myocardium characterized by MR diffusion tensor imaging. Am J Physiol Heart Circ Physiol. 2007, 293: H2377-2384. 10.1152/ajpheart.00337.2007.View ArticlePubMedGoogle Scholar
- Haber I, Friehs I, Jiang Y, Del Nido PJ, Hsu E: Diffusion tensor imaging of left ventricular hypertrophy. International Society of Magnetic Resonance Thirteenth Scientific Meeting; Miami Beach, FL. 2005Google Scholar
- Hsu EW, Henriquez CS: Myocardial fiber orientation mapping using reduced encoding diffusion tensor imaging. J Cardiovasc Magn Reson. 2001, 3: 339-347. 10.1081/JCMR-100108588.View ArticlePubMedGoogle Scholar
- Liang ZP, Lauterbur PC: An efficient method for dynamic magnetic resonance imaging. IEEE Trans Med Imaging. 1994, 13: 677-686. 10.1109/42.363100.View ArticlePubMedGoogle Scholar
- Walker JC, Guccione JM, Jiang Y, Zhang P, Wallace AW, Hsu EW, Ratcliffe MB: Helical myofiber orientation after myocardial infarction and left ventricular surgical restoration in sheep. J Thorac Cardiovasc Surg. 2005, 129: 382-390. 10.1016/j.jtcvs.2004.06.006.View ArticlePubMedGoogle Scholar
- Lorenz CH, Pastorek JS, Bundy JM: Delineation of normal human left ventricular twist throughout systole by tagged cine magnetic resonance imaging. J Cardiovasc Magn Reson. 2000, 2: 97-108. 10.3109/10976640009148678.View ArticlePubMedGoogle Scholar
- Liu W, Ashford MW, Chen J, Watkins MP, Williams TA, Wickline SA, Yu X: MR tagging demonstrates quantitative differences in regional ventricular wall motion in mice, rats, and men. Am J Physiol Heart Circ Physiol. 2006, 291: H2515-2521. 10.1152/ajpheart.01016.2005.View ArticlePubMedGoogle Scholar
- Chen J, Liu W, Zhang H, Lacy L, Yang X, Song SK, Wickline SA, Yu X: Regional ventricular wall thickening reflects changes in cardiac fiber and sheet structure during contraction: quantification with diffusion tensor MRI. Am J Physiol Heart Circ Physiol. 2005, 289: H1898-1907. 10.1152/ajpheart.00041.2005.View ArticlePubMedGoogle Scholar
- Geerts L, Bovendeerd P, Nicolay K, Arts T: Characterization of the normal cardiac myofiber field in goat measured with MR-diffusion tensor imaging. Am J Physiol Heart Circ Physiol. 2002, 283: H139-145.View ArticlePubMedGoogle Scholar
- Chen J, Song SK, Liu W, McLean M, Allen JS, Tan J, Wickline SA, Yu X: Remodeling of cardiac fiber structure after infarction in rats quantified with diffusion tensor MRI. Am J Physiol Heart Circ Physiol. 2003, 285: H946-954.View ArticlePubMedGoogle Scholar
- Costa KD, Takayama Y, McCulloch AD, Covell JW: Laminar fiber architecture and three-dimensional systolic mechanics in canine ventricular myocardium. Am J Physiol. 1999, 276: H595-607.PubMedGoogle Scholar
- Beg MF, Helm PA, McVeigh E, Miller MI, Winslow RL: Computational cardiac anatomy using MRI. Magn Reson Med. 2004, 52: 1167-1174. 10.1002/mrm.20255.PubMed CentralView ArticlePubMedGoogle Scholar
- Rohmer D, Sitek A, Gullberg GT: Reconstruction and visualization of fiber and laminar structure in the normal human heart from ex vivo diffusion tensor magnetic resonance imaging (DTMRI) data. Invest Radiol. 2007, 42: 777-789. 10.1097/RLI.0b013e3181238330.View ArticlePubMedGoogle Scholar
- Helm P, Beg MF, Miller MI, Winslow RL: Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging. Ann N Y Acad Sci. 2005, 1047: 296-307. 10.1196/annals.1341.026.View ArticlePubMedGoogle Scholar
- Helm PA, Tseng HJ, Younes L, McVeigh ER, Winslow RL: Ex vivo 3D diffusion tensor imaging and quantification of cardiac laminar structure. Magn Reson Med. 2005, 54: 850-859. 10.1002/mrm.20622.PubMed CentralView ArticlePubMedGoogle Scholar
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