The use of a computerized algorithm to determine single cardiac cell volumes

Single cardiac muscle cell volume data have been difficult to obtain, especially because the shape of a cell is quite complex. With the aid of a surface reconstruction method, a cell volume estimation algorithm has been developed that can be used on serial sections of cells. The cell surface is reconstructed by means of triangular tiles so that the cell is represented as a polyhedron. When this algorithm was tested on computer generated surfaces of a known volume, the difference was less than 1·6%. Serial sections of two phantoms of a known volume were also reconstructed and a comparison of the mathematically derived volumes and the computed volume estimations gave a per cent difference of between 2·8% and 4·1%. Finally cell volumes derived using conventional methods and volumes calculated using the algorithm were compared. The mean atrial muscle cell volume derived using conventional methods was 7752·7 ± 644·7 μm3, while the mean computerized algorithm estimated atrial muscle cell volume was 7110·6 ± 625·5 μm3. For AV bundle cells the mean cell volume obtained by conventional methods was 484·4 ± 88·8 μm3 and the volume derived from the computer algorithm was 506·0 ± 78·5 μm3. The differences between the volumes calculated using conventional methods and the algorithm were not significantly different.

[1]  P. Anversa,et al.  Absolute morphometric study of myocardial hypertrophy in experimental hypertension. II. Ultrastructure of myocytes and interstitium. , 1978, Laboratory investigation; a journal of technical methods and pathology.

[2]  S. Bishop,et al.  Surface morphology and cell size measurement of isolated rat cardiac myocytes. , 1979, Journal of molecular and cellular cardiology.

[3]  E. Weibel Stereological principles for morphometry in electron microscopic cytology. , 1969, International review of cytology.

[4]  H Elias,et al.  Stereology: applications to biomedicalresearch. , 1971, Physiological reviews.

[5]  M. Legato Qualitative and Quantitative Features of Ventricular Architecture in the Dog from Birth to Five Months of Age , 2005 .

[6]  Jonathan Ophir,et al.  An Algorithm for Volume Estimation Based on Polyhedral Approxi mation , 1980, IEEE Transactions on Biomedical Engineering.

[7]  R P Bolender,et al.  Correlation of morphometry and stereology with biochemical analysis of cell fractions. , 1978, International review of cytology.

[8]  F. Rollo,et al.  The determination of liver mass from radionuclide images. , 1968, Radiology.

[9]  T. A. Marino The atrioventricular node and bundle in the ferret heart: a light and quantitative electron microscopic study. , 1979, The American journal of anatomy.

[10]  P. Anversa,et al.  Absolute morphometric study of myocardial hypertrophy in experimental hypertension. I. Determination of myocyte size. , 1978, Laboratory investigation; a journal of technical methods and pathology.

[11]  Henry Fuchs,et al.  Optimal surface reconstruction from planar contours , 1977, SIGGRAPH.

[12]  T. N. James,et al.  Ultrastructure of myocardial cells. , 1968, The American journal of cardiology.

[13]  P. Anversa,et al.  Right ventricular hypertrophy--a cytometric study on 55 human hearts. , 1971, Journal of molecular and cellular cardiology.

[14]  R P Bolender,et al.  Surface area ratios. I. A stereological method for estimating average cell changes in membrane surface areas , 1979, The Anatomical record.

[15]  S. Heymsfield,et al.  Accurate measurement of liver, kidney, and spleen volume and mass by computerized axial tomography. , 1979, Annals of internal medicine.

[16]  S J Dwyer,et al.  The use of computer imaging techniques to visualize cardiac muscle cells in three dimensions , 1980, The Anatomical record.

[17]  M. Legato Cellular Mechanisms of Normal Growth in the Mammalian Heart: II. A Quantitative and Qualitative Comparison between the Right and Left Ventricular Myocytes in the Dog from Birth to Five Months of Age , 1979, Circulation research.

[18]  A. Loud A QUANTITATIVE STEREOLOGICAL DESCRIPTION OF THE ULTRASTRUCTURE OF NORMAL RAT LIVER PARENCHYMAL CELLS , 1968, The Journal of cell biology.

[19]  E. Page,et al.  Studies on the intercalated disk of rat left ventricular myocardial cells. , 1973, Journal of ultrastructure research.

[20]  Eric Keppel,et al.  Approximating Complex Surfaces by Triangulation of Contour Lines , 1975, IBM J. Res. Dev..

[21]  E Page,et al.  Quantitative ultrastructural analysis in cardiac membrane physiology. , 1978, The American journal of physiology.

[22]  Samuel J. Dwyer,et al.  Volume Estimation: A New, Accurate, Computerized Algorithm , 1979, Optics & Photonics.

[23]  D. Fawcett,et al.  THE ULTRASTRUCTURE OF THE CAT MYOCARDIUM , 1969, Journal of Cell Biology.