© 2002 The Royal Microscopical Society
Journal of Microscopy, Vol. 205, Pt 2 February 2002, pp. 125–135
Received 4 January 2001; accepted 7 September 2001
Blackwell Science Ltd
A method for quantifying cell size from differential interference
contrast images: validation and application to osmotically
stressed chondrocytes
L. G. ALEXOPOULOS*‡, G. R. ERICKSON*† & F. GUILAK*†‡
*Orthopaedic Research Laboratories, Department of Surgery, Box 3093, Duke University Medical
Center, Durham, NC 27710, U.S.A.
†Department of Biomedical Engineering, Duke University, Box 90281, 136 Hudson Hall, Durham,
NC 27708-0281, U.S.A.
‡Department of Mechanical Engineering & Materials Science, Duke University, Box 90300,
144 Hudson Hall, Durham, NC 27708-0300, U.S.A.
Key words. Cell measuring, chondrocytes, differential interference contrast
(DIC), dynamic programming, edge detection, edge linking, image analysis,
image processing, morphology, morphometry, osmotic stress, volume
regulation.
Summary
An automatic image analysis method was developed to deter-
mine the shape and size of spheroidal cells from a time series of
differential interference contrast (DIC) images. The program
incorporates an edge detection algorithm and dynamic pro-
gramming for edge linking. To assess the accuracy and work-
ing range of the method, results from DIC images of different
focal planes and resolutions were compared to confocal images
in which the cell membrane was fluorescently labelled. The
results indicate that a 1-μm focal drift from the in-focus plane
can lead to an overestimation of cell volume up to 14.1%, mostly
due to shadowing effects of DIC microscopy. DIC images allow
for accurate measurements when the focal plane lies in a zone
slightly above the centre of a spherical cell. In this range the
method performs with 1.9% overall volume error without
taking into account the error introduced by the representation
of the cell as a sphere. As a test case, the method was applied
to quantify volume changes due to acute changes of osmotic
stress.
Introduction
Under normal physiological conditions, cells are exposed to
varying mechanical and physicochemical stresses that result
in active and passive changes in cell volume and morphology.
In articular cartilage, for example, chondrocyte phenotypic
expression and metabolic activity are strongly influenced by
changes in cell shape and volume secondary to mechanical
and chemical (e.g. osmotic) stresses (Guilak et al., 1997). In this
respect, the accurate measurement of cell shape and size is
an important step in the interpretation of structure–function
relationships in cells.
A first step in determining cell shape and size from digital
microscopy images is identification of the cell boundaries, and
several different techniques have been adapted for quantitat-
ive analysis of cell morphology. However, by necessity, such
methods are only applicable to a specific model system. For
example, three-dimensional (3-D) volume images recorded by
confocal or dual-photon microscopy may be well-suited for
studying cell morphology in situ, but can be limited in certain
cases due to the need for fluorescence imaging and the length
of the time needed to acquire 3-D stacks of images(Guilak,
1994; Guilak et al., 1995; Errington et al., 1997; Errington &
White, 1999; Kubinova et al., 1999). In studying isolated cells,
2-D images are often recorded via video or scanning micro-
scopy using a variety of contrast techniques. Differential inter-
ference contrast (DIC) is a technique that is often used to
increase image contrast in plated cells. However, quantitative
determination of the cell border in DIC images is a non-trivial
task owing to the differences in image contrast along the cell
boundary. Reports in the literature show a variety of 2-D image
processing algorithms for quantitative cell morphometry (Inoue
& Spring, 1997; Sabri et al., 1997). Young & Gray (1997)
developed an algorithm based on thresholding and gradient-
follow methods. This method requires manual thresholding
and identification of the boundary, which may introduce bias
Correspondence: Farshid Guilak, PhD, Orthopaedic Research Laboratories,
Duke University Medical Center, 375 MSR Bldg., Research Dr, Box 3093,
Durham, NC 27710, U.S.A. Tel.: +1 919 684 2521; fax: +1 919 681 8490;
e-mail: guilak@duke.edu Received 4 January 2001; accepted 7 September 2001