On the progenitor cell migration velocity

An attempt is presented to extract cell kinetic information from histomorphological features. It is applicable to rapidly proliferating tissues like the intestinal epithelium. Each replicating tissue has an origin where cells are formed and a periphery toward which cells migrate. The migration path along which they move is denominated as tissue radius on which all cell positions are mapped. Cell migration on the radius is associated with cell proliferation at tissue origin. Each mitosis there is associated with the displacement of all cells distal to it by one cell position. The more mitoses positioned between a cell and tissue origin, the greater its migration velocity. It is possible therefore to derive the cell migration velocity v(x) from the cumulative mitotic distribution on the radius, N(x). v(x) = N(x)/tm (tm = mitotic time). In this form v(x) represents also cell production at any point on the radius and may serve for the computation of other cell kinetic parameters like generation time. These arguments are illustrated on the rat incisor tooth inner enamel epithelium which has been studied in the normal and rapidly erupting tooth.     

ON THE PROGENITOR CELL MIGRATION VELOCITY

An attempt is presented to extract cell kinetic information from histomorphological features. It is applicable to rapidly proliferating tissues like the intestinal epithelium. Each replicating tissue has an origin where cells are formed and a periphery toward which cells migrate. The migration path along which they move is denominated as tissue radius on which all cell positions are mapped. Cell migration on the radius is associated with cell proliferation at tissue origin. Each mitosis there is associated with the displacement of all cells distal to it by one cell position. The more mitoses positioned between a cell and tissue origin, the greater its migration velocity. It is possible therefore to derive the cell migration velocity v(x) from the cumulative mitotic distribution on the radius, N(x). v(x) = N(x)/t_m (t_m= mitotic time). In this form v(x) represents also cell production at any point on the radius and may serve for the computation of other cell kinetic parameters like generation time. These arguments are illustrated on the rat incisor tooth inner enamel epithelium which has been studied in the normal and rapidly erupting tooth.     

Intestinal Cell Proliferation. I. A Comprehensive Model of Steady-State Proliferation In the Crypt

Abstract. Cell replacement in the crypt of the murine small intestine has been studied and modelled mathematically under steady-state conditions. A great deal of information is available for this system, e.g. cell cycle times, S phase durations, the rate of daily cell production, the Paneth cell distribution etc. the purpose of the present work was to consider simultaneously as much of these data as possible and to formulate a model based upon the behaviour of individual cells which adequately accounted for them. A simple mathematical representation of the crypt has been developed. This consists of sixteen stem cells per crypt (T_c= 16 hr, T_s= 9 hr), and four subsequent transit cell divisions (T_c= 11 to 12 hr, T_s= 8 hr) before maturation. Experimental data considered to test the modelling were LI and data on the number of vertical runs of similarly labelled cells. All data were obtained from the ileum after 25 μCi [³H]TdR given at 09.00 hours. A number of alternative assumptions have been considered and either accepted or rejected. Two alternative model concepts of cell displacement explain the data equally well. One is dependent upon strong local cell generation age determinance while the other could accommodate any weak local cell displacement process in conjunction with an environmental cut-off determinant at the middle of the crypt. Both models provide new interpretations of the data, e.g. certain rates of lateral cell exchange between neighbouring columns (250 to 350 per crypt per day out of a total of 420 cell divisions per day) can be concluded from run data, while LI data provide information about the mechanisms involved in maintaining a position-related age order in the crypt.     

Intestinal cell proliferation. I. A comprehensive model of steady-state proliferation in the crypt

Cell replacement in the crypt of the murine small intestine has been studied and modelled mathematically under steady-state conditions. A great deal of information is available for this system, e.g. cell cycle times, S phase durations, the rate of daily cell production, the Paneth cell distribution etc. The purpose of the present work was to consider simultaneously as much of these data as possible and to formulate a model based upon the behaviour of individual cells which adequately accounted for them. A simple mathematical representation of the crypt has been developed. This consists of sixteen stem cells per crypt (TC = 16 hr, TS = 9 hr), and four subsequent transit cell divisions (TC = 11 to 12 hr, TS = 8 hr) before maturation. Experimental data considered to test the modelling were LI and data on the number of vertical runs of similarly labelled cells. All data were obtained from the ileum after 25 microCi [3H]TdR given at 09:00 hours. A number of alternative assumptions have been considered and either accepted or rejected. Two alternative model concepts of cell displacement explain the data equally well. One is dependent upon strong local cell generation age determinance while the other could accommodate any weak local cell displacement process in conjunction with an environmental cut-off determinant at the middle of the crypt. Both models provide new interpretations of the data, e.g. certain rates of lateral cell exchange between neighbouring columns (250 to 350 per crypt per day out of a total of 420 cell divisions per day) can be concluded from run data, while LI data provide information about the mechanisms involved in maintaining a position-related age order in the crypt.     

Expression of SV-40 T antigen in the small intestinal epithelium of transgenic mice results in proliferative changes in the crypt and reentry of villus-associated enterocytes into the cell cycle but has no apparent effect on cellular differentiation programs and does not cause neoplastic transformation

The mouse intestinal epithelium represents a unique mammalian system for examining the relationship between cell division, commitment, and differentiation. Proliferation and differentiation are rapid, perpetual, and spatially well-organized processes that occur along the crypt-to-villus axis and involve clearly defined cell lineages derived from a common multipotent stem cell located near the base of each crypt. Nucleotides -1178 to +28 of the rat intestinal fatty acid binding protein gene were used to establish three pedigrees of transgenic mice that expressed SV-40 large T antigen (TAg) in epithelial cells situated in the uppermost portion of small intestinal crypts and in already committed, differentiating enterocytes as they exited these crypts and migrated up the villus. T antigen production was associated with increases in crypt cell proliferation but had no apparent effect on commitment to differentiate along enterocytic, enteroendocrine, or Paneth cell lineages. Single- and multilabel-immunocytochemical studies plus RNA blot hybridization analyses suggested that the differentiation programs of these lineages were similar in transgenic mice and their normal littermates. This included enterocytes which, based on the pattern of [3H]thymidine and 5-bromo-2'-deoxyuridine labeling and proliferating nuclear antigen expression, had reentered the cell cycle during their migration up the villus. The state of cellular differentiation and/or TAg production appeared to affect the nature of the cell cycle; analysis of the ratio of S-phase to M-phase cells (collected by metaphase arrest with vincristine) and of the intensities of labeling of nuclei by [3H]thymidine indicated that the duration of S phase was longer in differentiating, villus-associated enterocytes than in the less well-differentiated crypt epithelial cell population and that there may be a block at the G2/M boundary. Sustained increases in crypt and villus epithelial cell proliferation over a 9-mo period were not associated with the development of gut neoplasms--suggesting that tumorigenesis in the intestine may require that the initiated cell have many of the properties of the gut stem cell including functional anchorage.     

Cell proliferation in the small intestine and colon of intravenously fed rats: effects of urogastrone-epidermal growth factor

Abstract. There is marked intestinal hypoplasia in the intestine of intravenously fed (TPN) rats. Recombinant urogastrone-epidermal growth factor (URO-EGF) reversed these changes by significantly increasing the length of the intestinal crypts. Crypt diameter, however, was not affected to the same extent. Few differences in labelling indices were seen between the orally fed and TPN groups, however, this was the consequence of the concomitant changes in crypt population.
The number of mitoses and labelled cells per crypt, and thus the crypt cell production rates, were significantly decreased in the TPN group when compared to the orally fed. URO-EGF significantly increased both proliferative indices and the number of dividing cells per crypt. Crypt cell production in the small intestine was restored to those levels seen in the orally fed rats, moreover, labelling per crypt in the colon was increased to more than twice that of orally fed rats. The location of the mean labelling position and the half maximum labelling position followed the changes in crypt length in the small intestine, but to a lesser extent; thus the growth fraction was significantly increased in the TPN rats in comparison with the orally fed and the URO-EGF treated groups. Similar changes in these positions were seen in the colon, but the growth fraction was much reduced in the URO-EGF treated rats, as a consequence of the large increase in crypt length without a concomitant alteration in label distribution.     

AUTORADIOGRAPHIC INVESTIGATION ON THE CELL KINETICS OF CRYPT EPITHELIA IN THE JEJUNUM OF THE MOUSE °CONFIRMATION OF STEADY STATE GROWTH WITH CONSTANT FREQUENCY DISTRIBUTION OF CELLS THROUGHOUT THE CYCLE

Cell kinetic parameters of cells in the crypt of the jejunum of the mouse were obtained autoradiographically. A number of different methods used in cell proliferation studies were applied to the same animal strain kept under constant conditions. In order to avoid effects of geometrical factors, squashes of isolated crypts were used.
The generation time was determined by the per cent labelled mitoses method of Quastler, modified by double labelling with ³H- and ¹⁴C-TdR. This modified method permits a more exact determination of the generation time. The duration of the cycle was 14 hr.
Double labelling experiments in which an injection of ³H-TdR was followed by an injection of ¹⁴C-TdR after 1 hr showed that the cell flux was 7.0%/hr at the beginning of the S-phase and 7.68%/hr at the end. Assuming steady state growth a constant cell flux of 7.15%/hr within the whole cycle can be derived from the measured generation time of 14 hr. These results clearly show that the crypt epithelia constitute a steady state system with constant frequency distribution of the cells throughout the cycle.
The per cent labelled mitoses method after a single injection of ³H-TdR as well as double labelling experiments with ³H- and ¹⁴C-TdR give an estimate of the S-phase of 8.0 or 7.4 hr respectively. Double determinations lead to a value of 0.54 or 0.52 hr respectively for the duration of mitosis and to values of 77% and 72%     

Biomechanical Modelling of Colorectal Crypt Budding and Fission

This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be viscoelastic thus allowing for cell progression along the crypt. It is shown that any combination of: an increase in net proliferation (i.e. cell production minus apoptosis), an enlargement of the proliferative compartment, an increase in the strength of the cellular attachment to the underlying lamina, or a change in the rate of cell growth or cell bonding may generate buckling of the tissue. These changes can all be generated by an activating mutation of the Wnt cascade, which is generally accepted to be the first genetic change in colorectal cancer, with subsequent deformation, budding, and crypt fission an observed feature of the adenomatous crypt.     

Estimates of the number of clonogenic cells in crypts of murine small intestine

There is a proliferative cell hierarchy in the mouse intestinal crypt with ancestral stem cells which can regenerate all components of the lineage after injury (clonogenic cells). The number of these clonogenic or regenerative cells per crypt can be estimated from radiobiological experiments where doses of radiation are used to kill cells and ablate crypts. Various approaches can be adopted which provide different estimates of this number of cells. One of the conventional approaches used in the past provided estimates of about 70-80 clonogenic cells per crypt (i.e. about 50% of the proliferative or 30% of all crypt cells). A technically simpler approach has recently been suggested. This has been used here to provide many independent estimates of the number of crypt clonogenic cells. These suggest about 32 clonogenic cells exist per crypt i.e. about half the previous estimate and about twice the number of putative "functional" stem cells (those which operate as stem cells in the normal steady-state crypt). The reasons for the differences are discussed. The new estimates are compatible with the hypothesis that the crypt contains a ring of about 16 functional stem cells which are expected to be clonogenic, besides which there is a second ring of 16 clonogenic cells which represent early transit cells (the immediate daughters of the stem cells) which can act as clonogenic cells if required after radiation injury.     

Principles of the organization of intestinal epithelium and its recovery from damage revealed by modeling

Using the developed method of modelling the curves of the fraction of labelled indexes (FLI) in the small intestine epithelium, a relationship was found between the FLI shape and duration of the S phase and the whole generation cycle for various generations of proliferating crypt cells. On the basis of the comparison between the theoretical and experimental FLI the normal values of the generation cycles along the crypt were specified for various intestinal parts. FLI were shaped along the crypt at various time intervals after irradiation. As a result, the data were obtained on the correlation between the duration of generation cycles and their phases during the postirradiation period and for various cell generations.     

THE EFFECT OF INTESTINAL RESECTION ON THIRY-VELLA FISTULAE OF JEJUNAL AND ILEAL ORIGIN IN THE RAT: EVIDENCE FOR A SYSTEMIC CONTROL MECHANISM OF CELL RENEWAL

Local and systemic control mechanisms have been postulated to explain the maintenance of steady state cell renewal in intestinal epithelium. Permanent alterations of cell renewal resulting in a new steady state imply alterations in control. Intestinal resection appears to cause such alterations resulting in hyper-plasia of the residual intestine. To test the hypothesis of a systemic control, the effect of 60% mid-intestinal resection on Thiry-Vella fistulae of both jejunal and ileal origin was observed in rats. Results showed that hypoplasia occurred in fistulae without resection of the remaining intestine in continuity. Cell counts of crypt and villus columns and tritiated thymidine uptake in isolated whole crypts were reduced. Scanning electron microscopy showed marked hypoplastic alterations in villi. However, when 60% of the intestine in continuity was resected, hyperplasia occurred not only in the residual intestine but in the fistulae of both jejunal and ileal origin. Cell counts of villus and crypt columns were increased along with increased tritiated thymidine uptake per crypt. Neutral cc-glucosidase and non-specific esterase activities did not change as a result of resection but the activities of both enzymes were greater in ileal fistulae than in ileum in situ. Observations on the different resection response of the jejunal versus ileal fistulae lead to a distinction between inherent and induced differences within the small intestine. This study suggests a systemic control of cell renewal. A possible mechanism involving intestinal vascular physiology is discussed.     

Estimating segment inertial parameters using fan-beam DXA

Body segment inertial parameters are required as input parameters when the kinetics of human motion is to be analyzed. However, owing to interindividual differences in body composition, noninvasive inertial estimates are problematic. Dual-energy x-ray absorptiometry (DXA) is a relatively new imaging approach that can provide cost- and time-effective means for estimating these parameters with minimal exposure to radiation. With the introduction of a new generation of DXA machines, utilizing a fan-beam configuration, this study examined their accuracy as well as a new interpolative data-reduction process for estimating inertial parameters. Specifically, the inertial estimates of two objects (an ultra-high molecular density plastic rod and an animal specimen) and 50 participants were obtained. Results showed that the fan-beam DXA, along with the new interpolative data-reduction process, provided highly accurate estimates (0.10-0.39%). A greater variance was observed in the center of mass location and moment of inertia estimates, likely as a result of the course end-point location (1.31 cm). However, using a midpoint interpolation of the end-point locations, errors in the estimates were greatly reduced for the center of mass location (0.64-0.92%) and moments of inertia (-0.23 to -0.48%).     

Use of a mouse chimaeric model to study cell migration patterns in the small intestinal epithelium

The pattern of cells migration in the small intestinal epithelia of a RIII/ro----C57BL/6J mouse aggregation chimaera is demonstrated using Dolichos biflorus agglutinin-peroxidase (DBA) conjugate as a strain-specific marker. Using serial tangential sections of heterogeneously stained villi and plotting the distribution of labelled/unlabelled cells with a drawing tube, and by three-dimensional reconstruction with the aid of computer graphics, we show the migration pathway to be in tight cohorts of similar DBA-peroxidase staining type, which move upwards in straight lines. There is little cell mixing either on the villus or along the crypt-villus junctions. Our observations also show for the first time that a single crypt can feed cells to more than one villus. They also suggest that either cell loss is not confined to the villus tips but can take place from the villus sides, or that there is marked asynchrony of cell production between crypts.     

The kinetics of villus cell populations in the mouse small intestine

Abstract. The cell population kinetics of the villus epithelium of the mouse have been analysed with respect to the size, flux and time. Microdissection methods were employed to measure the villus cell population size and yielded reproducible, precise results. There was a proximodistal negative size gradient in villus cell population and, in those villi of normal morphology, there was a good correlation with the usual morphometric estimators such as height and row count, although correlation was improved by a product variable consisting of a height multiplied by a width parameter.
Flux onto the villus is the product of the crypt cell production rate, which was measured by a metaphase arrest method using vincristine and crypt microdissection, and the crypt:villus ratio; net villus influx was maximum proximally in the bowel, where the largest villi were found, and decreased distally. The distribution of transit times of labelled cells to the crypt: villus junction and to the villus tip was measured, allowing the measurement of the median villus transit time.
Comparison of the measured villus transit time with the theoretical transit time calculated from the villus influx and population size gave results consistent with a steady state hypothesis. It was found, at each level of the small intestine studied, that the number of epithelial cells on the villus was equivalent to the total number of crypt cells associated with the villus.     

BOOTSTRAP CORRECTION FOR DIURNAL ACTIVITY CYCLE IN CENSUS DATA FOR ANTARCTIC SEALS1

Antarctic phocid seals and particularly the crabeater (Lobodon carcinophagus) have been observed to display a diurnal cycle in their propensity to haul out on pack ice where they are visible for census. The fact that they are not visible for much of the 24-h period means that density estimates made over broad geographic areas at various times of the day statistically confound this cycle with geographic variability. Limitation of census observations to times of peak haulout results in extreme logistical difficulties and/or considerable reduction in sample size upon which to base population estimates. Reduced sample size results in high variability in population estimates and broad confidence bands. To develop a model with which to correct density estimates for variability due to diurnal cycle, a series of stationary censuses at fixed locations in the Antarctic continental ice pack was made over significant fractions of several days. A unimodal polynomial model for the observed density variation in any one location was statistically significant; a similar model combining multiple locations with densities standardized to peak daily values was also significant. The latter model was used to make corrections for time of day to density estimates in three test data sets taken over broad geographic areas of the Antarctic. Statistical simulation (bootstrap) methods were used to determine if variances of corrected density estimates were lower than those based on uncorrected observations taken only during the peak haulout times of the day. Results were that 95% interval estimates for corrected densities were narrowed to between 40% and 61% of the uncorrected estimates. While there are additional possible sources of variation in haulout tendency, pending further data collection and analyses, the model developed represents a considerably more precise methodology than either averaging over haulout variability or limiting observations to peak daily periods.     

Cell proliferation kinetics of the bile duct epithelium of the rat

Abstract. Cell proliferation kinetics of the extrahepatic bile duct were studied by flash and cumulative labelling methods and immunohistochemical techniques. We compared the cell kinetics of the epithelium of the intra- and extra-pancreatic bile ducts and of the bile duct of the ampulla in rats administered intraperitoneally with bromodeoxyuridine (BrdUrd). After a single injection of BrdUrd (flash labelling), labelled cells appeared in the lower portion of the downgrowths of the epithelium in the intra-and extra-pancreatic bile ducts. A gradual accumulation of the labelled cells at the surface epithelium was observed during the cumulative labelling. After cumulative labelling the labelled cells gradually decreased in number and were finally confined to the degenerative cell zone of the surface epithelium 30 days later. Similarly, after a single injection of BrdUrd, the labelled cells in the bile duct of the ampulla appeared at the lower half of the crypt from where they migrated to the upper portion during cumulative labelling. These findings indicate that epithelial cells of the bile duct are renewed at the lower portion of the downgrowths of the epithelium, or crypt, and shed from the surface epithelium or upper portion of the fold. The labelling indices reached 23.83 ± 7.47% in the intra-pancreatic bile duct, 14.74 ± 7.99% in the extra-pancreatic bile duct and 43.42 ± 4.40% in the bile duct of the ampulla at the end of 70 h cumulative labelling. The fluctuating values of the labelling index were higher in the bile duct of the ampulla than in the intra- or extra-pancreatic bile ducts. These results indicate that the bile-duct epithelium undergoes a slower renewal rate than the other parts of the gastrointestinal tract, and that the renewal time of the epithelial cells is shorter at the bile duct of the ampulla than at the intra- or extra-pancreatic bile ducts.     

Use of A Mouse Chimaeric Model to Study Cell Migration Patterns In the Small Intestinal Epithelium

The pattern of cells migration in the small intestinal epithelia of a RIII/?ro C57BL/6J mouse aggregation chimaera is demonstrated using Dolichos biflorus agglutinin-peroxidase (DBA) conjugate as a strain-specific marker. Using serial tangential sections of heterogeneously stained villi and plotting the distribution of labelled/unlabelled cells with a drawing tube, and by three-dimensional reconstruction with the aid of computer graphics, we show the migration pathway to be in tight cohorts of similar DBA-peroxidase staining type, which move upwards in straight lines. There is little cell mixing either on the villus or along the crypt-villus junctions. Our observations also show for the first time that a single crypt can feed cells to more than one villus. They also suggest that either cell loss is not confined to the villus tips but can take place from the villus sides, or that there is marked asynchrony of cell production between crypts.     

Modelling the spatio-temporal cell dynamics reveals novel insights on cell differentiation and proliferation in the small intestinal crypt

We developed a slow structural relaxation model to describe cellular dynamics in the crypt of the mouse small intestine. Cells are arranged in a three dimensional spiral the size of which dynamically changes according to cell production demands of adjacent villi. Cell differentiation and proliferation is regulated through Wnt and Notch signals, the strength of which depends on the local cell composition. The highest level of Wnt activity is associated with maintaining equipotent stem cells (SC), Paneth cells and common goblet-Paneth cell progenitors (CGPCPs) intermingling at the crypt bottom. Low levels of Wnt signalling area are associated with stem cells giving rise to secretory cells (CGPCPs, enteroendocrine or Tuft cells) and proliferative absorptive progenitors. Deciding between these two fates, secretory and stem/absorptive cells, depends on Notch signalling. Our model predicts that Notch signalling inhibits secretory fate if more than 50% of cells they are in contact with belong to the secretory lineage. CGPCPs under high Wnt signalling will differentiate into Paneth cells while those migrating out from the crypt bottom differentiate into goblet cells. We have assumed that mature Paneth cells migrating upwards undergo anoikis. Structural relaxation explains the localisation of Paneth cells to the crypt bottom in the absence of active forces. The predicted crypt generation time from one SC is 4-5 days with 10-12 days needed to reach a structural steady state. Our predictions are consistent with experimental observations made under altered Wnt and Notch signalling. Mutations affecting stem cells located at the crypt floor have a 50% chance of being propagated throughout the crypt while mutations in cells above are rarely propagated. The predicted recovery time of an injured crypt losing half of its cells is approximately 2 days.     

Epithelial cell kinetics in the descending colon of the rat

The influence of experimental bypass on the epithelial cell kinetics in the rat descending colon was studied. It was found that the number of cells per crypt was markedly reduced at 6 weeks after bypass. The percentage of labelled crypt cells, 1 h after 3HTdR, and the distribution of labelled cells in the crypt was normal. Also the life span of the epithelial cells was the same in control and bypassed colon. The response of crypt cell proliferation to ischaemia-induced cell loss in the bypassed descending colon was similar to the one previously described for normal descending colon. This indicates that the absence of the normal luminal contents does not result in a different response of colonic crypts to induced cell loss. Furthermore, it was found that the number of cells per crypt and the proliferative activity did not change in the transverse colon after temporary ischaemia of the bypassed descending colon. This indicates that the increase in crypt cell proliferation after ischaemia-induced cell loss is a local response.     

THE CELL CYCLE TIME IN THE RAT JEJUNAL MUCOSA

The regional variation of the duration of cell cycle parameters was studied by constructing fraction of labelled mitoses curves at several levels in the jejunal crypt column of male Wistar rats. Prolonged T_c and T_s values were apparent only in the bottom eight cell positions, and these differences were shown to be significant compared with the remaining cell positions by analysing the data by the method of Gilbert (1972). Above cell position 8 the proliferating crypt cells showed effectively the same phase durations. For the whole crypt column T_c was 11.32 ± 0.14 (SE) and T_s 6.49 ± 0.10. Although variation in phase durations was confined to the basal portion of the crypt, the results essentially confirm the findings of Cairnie, Lamerton & Steel (1965a), and may be interpreted in terms of the slow cut-off model. The demonstration of prolonged T_c values in basal cell positions confirms the presence of a longer cycling subpopulation of cells at the bottom of the crypt.