Abstract
Genetically modified organisms present the challenge of quantifying structures and functions in organs, tissues and cells. Morphological investigation is greatly facilitated by taking sections in MRI, CAT scanning, histological preparations or EM, and powerful unbiased quantitative tools called stereology can use these sections in a sampling based approach to measure volume, number surface and length. Stereological tools have become methods of choice in the fields of neurobiology, nephrology and cell biology and allow accurate unbiased description of intact organs, tissues, cells and organelles. Stereology has yet to be applied widely in the field of transgenics. Here I provide an overview of stereological methods and explain how they represent a powerful addition to the transgenic biologists armoury of techniques.
Similar content being viewed by others
Notes
Stereology can also be used to quantify the spatial distribution of biological quantities—using so called second-order stereology. This is outside the scope of this article but the reader is referred to sample papers that deal with this subject (Diggle 1983; Krasnoperov and Stoyan 2004; Mattfeldt 2005; Mattfeldt et al. 2006; Mayhew 1999; Nyengaard and Gundersen 2006; Prior et al. 2003; Reed and Howard 1999; Ripley 1981).
It is important to note here that over the past 20 years there has been a move away from techniques that quantify on the basis of model assumptions about the size, shape or number of structures e.g. that a nucleus is spherical or a tubule is a cylinder. Modern stereology is designed a priori to remove restrictions of these assumptions and to provide unbiased estimates no matter what biological object is examined. These methods are therefore designated design-based estimators. They can be used to measure the aggregate volume, surface and length of a biological object of interest as well as the volume, surface, length and number of its individual components.
In general SR sampling is more efficient on the inhomogeneous samples that abound in biology. However, when a periodic structure is in register with the array of the systematic sample then estimates can be more variable (less precise) than those obtained with random sampling. Simple random sampling is then the method of choice.
With a growing number of experts in the field there are increasing opportunities to gain invaluable assistance in the initial phases of a project (see the International Society of Stereology website at http://www.stereologysociety.org/).
References
Andersen BB, Fabricius K, Gundersen HJ, Jelsing J, Stark AK (2004) No change in neuron numbers in the dentate nucleus of patients with schizophrenia estimated with a new stereological method—the smooth fractionator. J Anat 205:313–321
Baddeley AJ, Gundersen HJ, Cruz-Orive LM (1986) Estimation of surface area from vertical sections. J Microsc 142:259–276
Bahmer FA, Hantirah S, Baum HP (1996) Rapid and unbiased estimation of the volume of cutaneous malignant melanoma using Cavalieri’s principle. Am J Dermatopathol 18:159–164
Bock T, Pakkenberg B, Buschard K (2005) Genetic background determines the size and structure of the endocrine pancreas. Diabetes 54:133–137
Braendgaard H, Evans SM, Howard CV, Gundersen HJ (1990) The total number of neurons in the human neocortex unbiasedly estimated using optical disectors. J Microsc 157:285–304
Brown D (2006) Imaging protein trafficking. Nephron Exp Nephrol 103:e55–e61
Bundgaard MJ, Regeur L, Gundersen HJ, Pakkenberg B (2001) Size of neocortical neurons in control subjects and in Alzheimer’s disease. J Anat 198:481–489
Buffon GL (1777) “Essay d’arithmétique morale”. Supplèment à l’Histoire Naturelle, vol 4, Paris
Cavalieri B (1635) Geometria Indivisibilibus Continuorum. Typis Clemetis Feronij Bononi. Reprinted 1966 as Geometria degli Indivisibili. Unione Tipografico-Editrice Torinese, Torino
Ciavarro GL, Calvaresi N, Botturi A, Bendotti C, Andreoni G, Pedotti A (2003) The densitometric physical fractionator for counting neuronal populations: application to a mouse model of familial amyotrophic lateral sclerosis. J Neurosci Meth 129:61–71
Colby LA, Morenko BJ (2004) Clinical considerations in rodent bioimaging. Comp Med 54:623–630
Cotter D, Miszkiel K, Al-Sarraj S, Wilkinson ID, Paley M, Harrison MJ, Hall-Craggs MA, Everall IP (1999) The assessment of postmortem brain volume; a comparison of stereological and planimetric methodologies. Neuroradiology 41:493–496
Cranston A, Howard L, Howard CV (2004) Quantitative phenotyping as an efficient means to estimate C-cell number in a knock-in mouse model of MEN2B. Transgenic Res 13:339–348
Cruz-Orive LM (1987) Particle number can be estimated using a disector of unknown thickness: the selector. J Microsc 145:121–142
Cruz-Orive LM (1999) Precision of Cavalieri sections and slices with local errors. J Microsc 193:182–198
Cruz-Orive LM (2004) Precision of the fractionator from Cavalieri designs. J Microsc 213:205–211
Cruz-Orive LM (2006) A general variance predictor for Cavalieri slices. J Microsc 222:158–165
Cruz-Orive LM, Weibel ER (1990) Recent stereological methods for cell biology: a brief survey. Am J Physiol 258:L148–L156
Delesse MA (1847) Procédé mécanique pour déterminer la composition des roches. CR Acad Sci Paris 25:544–545
Diggle PJ (1983) Statistical analysis of spatial point patterns. Academic Press, London
Garcia-Finana M, Cruz-Orive LM (2000) New approximations for the variance in Cavalieri sampling. J Microsc 99:224–238
Gardella D, Hatton WJ, Rind HB, Rosen GD, von Bartheld CS (2003) Differential tissue shrinkage and compression in the z-axis: implications for optical disector counting in vibratome-, plastic- and cryosections. J Neurosci Meth 124:45–59
Gokhale AM, Evans RA, Mackes JL, Mouton PR (2004) Design-based estimation of surface area in thick tissue sections of arbitrary orientation using virtual cycloids. J Microsc 216:25–31
Gong QY, Eldridge PR, Brodbelt AR, Garcia-Finana M, Zaman A, Jones B, Roberts N (2004) Quantification of tumour response to radiotherapy. Br J Radiol 77:405–413
Griffiths G. (1993) In Fine structure immunocytochemistry. G. Griffiths. Springer-Verlag, Berlin
Griffiths G, Lucocq JM, Mayhew TM (2001) Electron microscopy applications for quantitative cellular microbiology. Cell Microbiol 3:659–668
Gual-Arnau X, Cruz Orive L (1998) Variance prediction under systematic sampling with geometric probes. Adv Appl Probability 30:1–15
Gundersen HJ (1986) Stereology of arbitrary particles. A review of unbiased number and size estimators and the presentation of some new ones, in memory of William R. Thompson. J Microsc 143:3–45
Gundersen HJ (1992) Stereology: the fast lane between neuroanatomy and brain function—or still only a tightrope? Acta Neurol Scand Suppl 137:8–13
Gundersen HJ (2002) The smooth fractionator. J Microsc 207:191–210
Gundersen HJ, Jensen EB (1985) Stereological estimation of the volume-weighted mean volume of arbitrary particles observed on random sections. J Microsc 138(Pt 2):127–142
Gundersen HJG, Jensen EB (1987) The efficiency of stereological sampling in stereology and its prediction. J Microsc 147:229–263
Gundersen HJ, Bagger P, Bendtsen TF, Evans SM, Korbo L, Marcussen N, Moller A, Nielsen K, Nyengaard JR, Pakkenberg B et al (1988) The new stereological tools: disector, fractionator, nucleator and point sampled intercepts and their use in pathological research and diagnosis. APMIS 96:857–881
Gundersen HJ, Jensen EBV, Kieu K, Nielsen J (1999) The efficiency of systematic sampling in stereology-reconsidered. J Microsc 193:199–211
Hedreen JC (1998) Lost caps in histological counting methods. Anat Rec 250:366–372
Henery CC, Mayhew TM (1989) The cerebrum and cerebellum of the fixed human brain: efficient and unbiased estimates of volumes and cortical surface areas. J Anat 167:167–180
Howard CV, Reid S, Baddeley A, Boyde A (1985) Unbiased estimation of particle density in the tandem scanning reflected light microscope. J Microsc 138:203–212
Howard CV, Reed MG (1998) Unbiased stereology. Three dimensional measurement in microscopy. BIOS Oxford
Howard MA, Roberts N, Garcia-Finana M, Cowell PE (2003) Volume estimation of prefrontal cortical subfields using MRI and stereology. Brain Res Brain Res Protoc 10:125–138
Insausti AM, Cruz-Orive LM, Jauregui I, Manrique M, Insausti R (1999) Stereological assessment of the glial reaction to chronic deafferentation of the cochlear nuclei in the macaque monkey (Macaca fascicularis). J Comp Neurol 414:485–494
Jones ME, Thorburn AW, Britt KL, Hewitt KN, Wreford NG, Proietto J, Oz OK, Leury BJ, Robertson KM, Yao S, Simpson ER (2000) Aromatase-deficient (ArKO) mice have a phenotype of increased adiposity. Proc Natl Acad Sci USA 97:12735–12740
Jung A, Allen L, Nyengaard JR, Gundersen HJ, Richter J, Hawgood S, Ochs M (2005) Design-based stereological analysis of the lung parenchymal architecture and alveolar type II cells in surfactant protein A and D double deficient mice. Anat Rec A Discov Mol Cell Evol Biol 286:885–890
Kjellstrom C, Conradi N (1995) Synapse-to-neuron ratio in the lateral geniculate nucleus of rats exposed chronically to ethanol. Alcohol Clin Exp Res 19:1261–1264
Korbo L, Amrein I, Lipp HP, Wolfer D, Regeur L, Oster S, Pakkenberg B (2004) No evidence for loss of hippocampal neurons in non-Alzheimer dementia patients. Acta Neurol Scand 109:132–139
Krasnoperov RA, Stoyan D (2004) Second-order stereology of spatial fibre systems. J Microsc 216:156–164
Kubinova L, Janacek J (1998) Estimating surface area by the isotropic fakir method from thick slices cut in an arbitrary direction. J Microsc 191:201–211
Kubinova L, Janacek J (2001) Confocal microscopy and stereology: estimating volume, number, surface area and length by virtual test probes applied to three-dimensional images. Microsc Res Tech 53:425–435
Kulandavelu S, Qu D, Sunn N, Mu J, Rennie MY, Whiteley KJ, Walls JR, Bock NA, Sun JC, Covelli A, Sled JG, Adamson SL (2006) Embryonic and neonatal phenotyping of genetically engineered mice. ILAR J 47:103–117
Lawlor MA, Mora A, Ashby PR, Williams MR, Murray-Tait V, Malone L, Prescott AR, Lucocq JM, Alessi DR (2002) Essential role of PDK1 in regulating cell size and development in mice. EMBO J 21:3728–3738
Lowry KS, Murray SS, McLean CA, Talman P, Mathers S, Lopes EC, Cheema SS (2001) A potential role for the p75 low-affinity neurotrophin receptor in spinal motor neuron degeneration in murine and human amyotrophic lateral sclerosis. Amyotroph Lateral Scler Other Motor Neuron Disord 2:127–134
Lucocq J (1992) Quantitation of gold labeling and estimation of labeling efficiency with a stereological counting method. J Histochem Cytochem 40:1929–1936
Lucocq J (1994) Quantitation of gold labelling and antigens in immunolabelled ultrathin sections. J Anat 184:1–13
Lucocq JM (2003) Electron microscopy in cell biology. In: Davey J, Michael Lord J (eds) Essential cell biology, vol 1 cell structure. Oxford University Press, New York, pp 53–112
Lucocq JM, Berger EG, Warren G (1989) Mitotic Golgi fragments in HeLa cells and their role in the reassembly pathway. J Cell Biol 109:463–474
Lucocq JM, Habermann A, Watt S, Backer JM, Mayhew TM, Griffiths G(2004) A rapid method for assessing the distribution of gold labeling on thin sections. J Histochem Cytochem 52:991–1000
Mall G, Kayser K, Rossner JA (1977) The loss of membrane images from oblique sectioning of biological membranes and the availability of morphometric principles—demonstrated by the examination of heart muscle mitochondria. Mikroskopie 33:246–254
Maletti GM, Wulfsohn D (2006) Evaluation of variance models for fractionator sampling of trees. J Microsc 222:228–241
Marcussen N (1992) The double disector: unbiased stereological estimation of the number of particles inside other particles. J Microsc 165:417–426
Mattfeldt T (2005) Explorative statistical analysis of planar point processes in microscopy. J Microsc 220:131–139
Mattfeldt T (2006) Prediction of the variance of stereological volume estimates from systematic sections using computer-intensive methods. J Microsc 222:166–176
Mattfeldt T, Mall G, Gharehbaghi H, Moller P (1990) Estimation of surface area and length with the orientator. J Microsc 159:301–317
Mattfeldt T, Eckel S, Fleischer F, Schmidt V (2006) Statistical analysis of reduced pair correlation functions of capillaries in the prostate gland. J Microsc 223:107–119
Mayhew TM (1999) Second-order stereology and ultrastructural examination of the spatial arrangements of tissue compartments within glomeruli of normal and diabetic kidneys. J Microsc 195:87–95
Mayhew TM, Gundersen HJ (1996) If you assume, you can make an ass out of u and me’: a decade of the disector for stereological counting of particles in 3D space. J Anat 188:1–15
Mayhew TM, Reith A (1988) Practical ways to correct cytomembrane surface densities for the loss of membrane images that results from oblique sectioning. In: Reith A, Mayhew TM (eds) Stereology and morphometry in electron microscopy. Problems and solutions. Hemisphere Publishing Company, NewYork/Washington/Philadelphia/London, pp 99–110
Mayhew TM, Lucocq JM, Griffiths G (2002) Relative labelling index: a novel stereological approach to test for non-random immunogold labelling of organelles and membranes on transmission electron microscopy thin sections. J Microsc F205:153–164
Mayhew TM, Griffiths G, Lucocq JM (2004) Applications of an efficient method for comparing immunogold labelling patterns in the same sets of compartments in different groups of cells. Histochem Cell Biol 122:171–177
McCullough S, Lucocq J (2005) Endoplasmic reticulum positioning and partitioning in mitotic HeLa cells. J Anat 206:415–425
McNulty V, Cruz-Orive LM, Roberts N, Holmes CJ, Gual-Arnau X (2000) Estimation of brain compartment volume from MR Cavalieri slices. J Comput Assist Tomogr 24:466–477
Michel RP, Cruz-Orive LM (1988) Application of the Cavalieri principle and vertical sections method to lung: estimation of volume and pleural surface area. J Microsc 150:117–136
Mironov AA Jr, Mironov AA (1998) Estimation of subcellular organelle volume from ultrathin sections through centrioles with a discretized version of the vertical rotator. J Microsc 192:29–36
Misso ML, Murata Y, Boon WC, Jones ME, Britt KL, Simpson ER (2003) Cellular and molecular characterization of the adipose phenotype of the aromatase-deficient mouse. Endocrinology 144:1474–1480
Mouton PR, Long JM, Lei DL, Howard V, Jucker M, Calhoun ME, Ingram DK (2002) Age and gender effects on microglia and astrocyte numbers in brains of mice. Brain Res 956:30–35
Nyengaard JR, Gundersen HJG (1992) The isector: a simple and direct method for generating isotropic, uniform random sections from small specimens. J Microsc 165:427–431
Nyengaard JR, Gundersen HJ (2006) Direct and efficient stereological estimation of total cell quantities using electron microscopy. J Microsc 222:182–187
Ochs M, Nyengaard JR, Jung A, Knudsen L, Voigt M, Wahlers T, Richter J, Gundersen HJ (2004a) The number of alveoli in the human lung. Am J Respir Crit Care Med 169:120–124
Ochs M, Knudsen L, Allen L, Stumbaugh A, Levitt S, Nyengaard JR, Hawgood S (2004b) GM-CSF mediates alveolar epithelial type II cell changes, but not emphysema-like pathology, in SP-D-deficient mice. Am J Physiol Lung Cell Mol Physiol 287:L1333–L1341
Pache JC, Roberts N, Vock P, Zimmermann A, Cruz-Orive LM (1993) Vertical LM sectioning and parallel CT scanning designs for stereology: application to human lung. J Microsc 170:9–24
Pakkenberg B, Gundersen HJ (1997) Neocortical neuron number in humans: effect of sex and age. J Comp Neurol 384:312–320
Pakkenberg B, Pelvig D, Marner L, Bundgaard MJ, Gundersen HJ, Nyengaard JR, Regeur L (2003) Aging and the human neocortex. Exp Gerontol 38:95–99
Prior IA, Muncke C, Parton RG, Hancock JF (2003) Direct visualization of Ras proteins in spatially distinct cell surface microdomains. J Cell Biol 160:165–170
Redwine JM, Kosofsky B, Jacobs RE, Games D, Reilly JF, Morrison JH, Young WG, Bloom FE (2003) Dentate gyrus volume is reduced before onset of plaque formation in PDAPP mice: a magnetic resonance microscopy and stereologic analysis. Proc Natl Acad Sci USA 100:1381–1386
Reed MG, Howard CV (1999) Stereological estimation of covariance using linear dipole probes. J Microsc 195:96–103
Ripley BD (1981) Spatial statistic. Wiley, New York
Roberts N, Puddephat MJ, McNulty V (2000) The benefit of stereology for quantitative radiology. Br J Radiol 73:679–697
Roberts N, Cruz-Orive LM, Bourne M, Herfkens RJ, Karwoski RA, Whitehouse GH (1997) Analysis of cardiac function by MRI and stereology. J Microsc 187:31–42
Rosen GD, Harry JD (1990) Brain volume estimation from serial section measurements: a comparison of methodologies. J Neurosci Meth 35:115–124
Royet JP (1991) Stereology: a method for analyzing images. Prog Neurobiol 37:433–474
Schmitz C, Hof PR (2005) Design-based stereology in neuroscience. Neuroscience 130:813–831
Sahin B, Alper T, Kokcu A, Malatyalioglu E, Kosif R (2003) Estimation of the amniotic fluid volume using the Cavalieri method on ultrasound images. Int J Gynaecol Obstet 82:25–30
Smythe E, Pypaert M, Lucocq J, Warren G (1989) Formation of coated vesicles from coated pits in broken A431 cells. J Cell Biol 108:843–853
Sterio DC (1984) The unbiased estimation of number and sizes of arbitrary particles using the disector. J Microsc 134:127–136
Swedlow JR (2003) Quantitative fluorescence microscopy and image deconvolution. Meth Cell Biol 72:349–367
Toft MH, Gredal O, Pakkenberg B (2005) The size distribution of neurons in the motor cortex in amyotrophic lateral sclerosis. J Anat 207:399–407
van Kaick G, Delorme S (2005) Computed tomography in various fields outside medicine. Eur Radiol 4(Suppl 15):D74–D81
Vedel Jensen EB, Gundersen HJG (1993) The rotator. J Microsc 170:35–44
Walton JM, Roberts N, Whitehouse GH (1997) Measurement of the quadriceps femoris muscle using magnetic resonance and ultrasound imaging. Br J Sports Med 31:59–64
Watt SA, Kular G, Fleming IN, Downes CP, Lucocq JM (2002) Subcellular localization of phosphatidylinositol 4,5-bisphosphate using the pleckstrin homology domain of phospholipase C delta1. Biochem J 363:657–666
Watt SA, Kimber WA, Fleming IN, Leslie NR, Downes CP, Lucocq JM (2004) Detection of novel intracellular agonist responsive pools of phosphatidylinositol 3,4-bisphosphate using the TAPP1 pleckstrin homology domain in immunoelectron microscopy. Biochem J 377:653–663
Weibel ER (1979) Stereological methods, vol 1. Practical methods for biological Morphometry. Academic Press, London
Weibel ER, Paumgartner D (1978) Integrated stereological and biochemical studies on hepatocytic membranes. II. Correction of section thickness effect on volume and surface density estimates. J Cell Biol 77:584–597
West MJ, Slomianka L, Gundersen HJ (1991) Unbiased stereological estimation of the total number of neurons in thesubdivisions of the rat hippocampus using the optical fractionator. Anat Rec 231:482–497
West MJ, Ostergaard K, Andreassen OA, Finsen B (1996) Estimation of the number of somatostatin neurons in the striatum: an in situ hybridization study using the optical fractionator method. J Comp Neurol 370:11–22
Witgen BM, Grady MS, Nyengaard JR, Gundersen HJ (2006) A new fractionator principle with varying sampling fractions: exemplified by estimation of synapse number using electron microscopy. J Microsc 222:251–255
Yoshiki A, Moriwaki K (2006) Mouse phenome research: implications of genetic background. ILAR J 47:94–102
Zang DW, Cheema SS (2002) Degeneration of corticospinal and bulbospinal systems in the superoxide dismutase 1(G93A G1H) transgenic mouse model of familial amyotrophic lateral sclerosis. Neurosci Lett 332:99–102
Acknowledgements
The author is grateful to the College of Life Sciences and the University of Dundee for continuing support of quantitative morphological approaches.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lucocq, J.M. Efficient quantitative morphological phenotyping of genetically altered organisms using stereology. Transgenic Res 16, 133–145 (2007). https://doi.org/10.1007/s11248-006-9048-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11248-006-9048-9