The delay of anoikis due to the inhibition of protein tyrosine dephosphorylation enables the maintenance of normal rat colonocyte primary culture

Apoptosis induced by detachment of cells from the extracellular matrix (anoikis) appears to be one of the main obstacles in attempts to establish long-term primary culture of normal colonocytes. In the present study, the dynamics of molecular events related to apoptosis of isolated normal rat colonocytes was investigated. The whole colonic crypts were isolated using collagenase/dispase digestion technique. DNA fragmentation typical for the apoptosis and the apoptotic morphology of cells were observed already at the end of their isolation. Considerable increase in caspase-3 activity was noted during the first two hours of cell cultivation. Delaying of apoptosis by treatment of cells with sodium orthovanadate, the specific protein tyrosine phosphatase inhibitor, was found to be possible. It may facilitate long-term culture of intestinal epithelial cells.     

CONTROL OF EPITHELIAL CELL PROLIFERATION IN THE SMALL INTESTINAL CRYPT

A heat labile factor which has been shown to inhibit proliferative activity in crypt epithelium both in rat jejunum in vivo and in explants of rat jejunum maintained in organ culture has been prepared from the soluble fraction of homogenized epithelial cells isolated from rat small intestinal crypts. The factor appears to have tissue specificity, for it has no influence on epithelial cell proliferation in colonic crypts, oesophagus or skin. Extracts of rat intestinal villous cells prepared using identical techniques were without effect on proliferative activity of small intestinal crypt epithelium.
Isoprenalin, which was also found to suppress cell proliferation, did not potentiate the effect of the factor and its effects were evanescent.     

Isolation of pig colonic crypts for cytotoxic assay of luminal compounds: effects of hydrogen sulfide,ammonia, and deoxycholic acid

Some colonic luminal molecules resulting from bacterial metabolism of alimentary or endogenous compounds are believed to exert various effects on the colonic epithelial cell physiology. We isolated surface epithelial cells and intact colonic crypts in order to test bacterial metabolites in the pig model, which is often considered relevant for extrapolation to the physiopathology of the human gastrointestinal tract. Using colonocytes isolated with EDTA, we found that the initial cell viability, estimated by the membrane integrity and oxidative capacity measurement, fell rapidly despite several experimental attempts to preserve it such as the use of a medium designed to increase the adherence of epithelial cells and of a coated extracellular matrix, the presence in the culture medium of the oxidative substrate butyrate, and the use of an inhibitor of the caspases involved in cell apoptosis. In contrast, using dispase and collagenase as proteolytic agents, we were able to obtain pig colonic crypts that maintain an excellent membrane integrity after 4 h. Using this preparation, we were able to test the presumably cytotoxic luminal compounds hydrogen sulfide, ammonia, and deoxycholic acid on colonic crypt viability. Of these, only deoxycholic acid was found to significantly alter the cellular membrane integrity. It is concluded that pig colonic crypts can be useful for thein vitro appraisal of the cytotoxic properties of luminal compounds. This revised version was published online in July 2006 with corrections to the Cover Date.     

Prosurvival and antiapoptotic effects of PGE2 in radiation injury are mediated by EP2 receptor in intestine

The biological activities of PGE(2) are mediated through EP receptors (EP(1)-EP(4)), plasma membrane G protein-coupled receptors that differ in ligand binding and signal-transduction pathways. We investigated gastrointestinal EP(2) receptor expression in adult mice before and after radiation injury and evaluated intestinal stem cell survival and crypt epithelial apoptosis after radiation injury in EP(2) null mice. EP(2) was expressed throughout the gut. Intestinal EP(2) mRNA increased fivefold after gamma-irradiation. Crypt survival was diminished in EP(2)-/- mice (4.06 crypts/cross section) compared with wild-type littermates (8.15 crypts/cross section). Radiation-induced apoptosis was significantly increased in EP(2)-/- mice compared with wild-type littermates. Apoptosis was 1.6-fold higher in EP(2) (-/-) mice (5.9 apoptotic cells/crypt) than in wild-type mice (3.5 apoptotic cells/crypt). The EP(2) receptor is expressed in mouse gastrointestinal epithelial cells and is upregulated following radiation injury. The effects of PGE(2) on both crypt epithelial apoptosis and intestinal crypt stem cell survival are mediated through the EP(2) receptor.     

Female gender-specific inhibition of KCNQ1 channels and chloride secretion by 17beta-estradiol in rat distal colonic crypts

The estrogen sex steroid 17beta-estradiol rapidly inhibits secretagogue-stimulated cAMP-dependent Cl(-) secretion in the female rat distal colonic crypt by the inhibition of basolateral K(+) channels. In Ussing chamber studies, both the anti-secretory response and inhibition of basolateral K(+) current was shown to be attenuated by pretreatment with rottlerin, a PKCdelta-specific inhibitor. In whole cell patch-clamp analysis, 17beta-estradiol inhibited a chromanol 293B-sensitive KCNQ1 channel current in isolated female rat distal colonic crypts. Estrogen had no effect on KCNQ1 channel currents in colonic crypts isolated from male rats. Female distal colonic crypts expressed a significantly higher amount of PKCdelta in comparison to male tissue. PKCdelta and PKA were activated at 5 min in response to 17beta-estradiol in female distal colonic crypts only. Both PKCdelta- and PKA-associated with the KCNQ1 channel in response to 17beta-estradiol in female distal colonic crypts, and no associations were observed in crypts from males. PKA activation, association with KCNQ1, and phosphorylation of the channel were regulated by PKCdelta as the responses were blocked by pretreatment with rottlerin. Taken together, our experiments have identified the molecular targets underlying the anti-secretory response to estrogen involving the inhibition of KCNQ1 channel activity via PKCdelta- and PKA-dependent signaling pathways. This is a novel gender-specific mechanism of regulation of an ion channel by estrogen. The anti-secretory response described in this study provides molecular insights whereby estrogen causes fluid retention effects in the female during periods of high circulating plasma estrogen levels.     

Cryosectioning Method for Microdissection of Murine Colonic Mucosa

The colonic mucosal tissue provides a vital barrier to luminal antigens. This barrier is composed of a monolayer of simple columnar epithelial cells. The colonic epithelium is dynamically turned over and epithelial cells are generated in the stem cell containing crypts of Lieberkühn. Progenitor cells produced in the crypt-bases migrate toward the luminal surface, undergoing a process of cellular differentiation before being shed into the gut lumen. In order to study these processes at the molecular level, we have developed a simple method for the microdissection of two spatially distinct regions of the colonic mucosa; the proliferative crypt zone, and the differentiated surface epithelial cells. Our objective is to isolate specific crypt and surface epithelial cell populations from mouse colonic mucosa for the isolation of RNA and protein.     

Smad3 contributes to positioning of proliferating cells in colonic crypts by inducing EphB receptor protein expression

Deficiency of Smad3, an intracellular mediator of TGF-β, was shown to significantly accelerate re-epithelialization of the colonic mucosa. This study was performed to investigate the molecular mechanisms by which Smad3 controls colonic epithelial cell proliferation and crypt formation. Smad3^ex8/ex8 C57BL/6 mice were used in this study and wild-type littermates served as controls. The number of proliferating cells in the isolated colonic epithelium of Smad3^−/− mice was significantly increased compared to that in wild-type littermates. Protein levels of the cell cycle inhibitors p21 and p27 were significantly decreased, while that of c-Myc was increased in the isolated colonic epithelium from Smad3^−/− mice. In the colonic tissue of wild-type mice, cell proliferation was restricted to the bottom of the crypts in accordance with nuclear β-catenin staining, whereas proliferating cells were located throughout the crypts in Smad3^−/− mice in accordance with nuclear β-catenin staining, suggesting that Smad3 is essential for locating proliferating cells at the bottom of the colonic crypts. Notably, in Smad3^−/− mice, there was loss of EphB2 and EphB3 receptor protein expression, critical regulators of proliferating cell positioning, while EphB receptor protein expression was confirmed at the bottom of the colonic crypts in wild-type mice. These observations indicated that disturbance of the EphB/ephrin B system brings about mispositioning of proliferating cells in the colonic crypts of Smad3^−/− mice. In conclusion, Smad3 is essential for controlling number and positioning of proliferating cells in the colonic crypts and contributes to formation of a “proliferative zone” at the bottom of colonic crypts in the normal colon.     

NHE2 is the main apical NHE in mouse colonic crypts but an alternative Na+-dependent acid extrusion mechanism is upregulated in NHE2-null mice

The mechanism of apical Na(+)-dependent H(+) extrusion in colonic crypts is controversial. With the use of confocal microscopy of the living mouse distal colon loaded with BCECF or SNARF-5F (fluorescent pH sensors), measurements of intracellular pH (pH(i)) in epithelial cells at either the crypt base or colonic surface were reported. After cellular acidification, the addition of luminal Na(+) stimulated similar rates of pH(i) recovery in cells at the base of distal colonic crypts of wild-type or Na(+)/H(+) exchanger isoform 2 (NHE2)-null mice. In wild-type crypts, 20 microM HOE694 (NHE2 inhibitor) blocked 68-75% of the pH(i) recovery rate, whereas NHE2-null crypts were insensitive to HOE694, the NHE3-specific inhibitor S-1611 (20 microM), or the bicarbonate transport inhibitor 4-acetamido-4'-isothiocyanostilbene-2,2'-disulfonic acid (SITS; 1 mM). A general NHE inhibitor, 5-(N-ethyl-N-isopropyl)amiloride (EIPA; 20 microM), inhibited pH(i) recovery in NHE2-null mice (46%) but less strongly than in wild-type mice (74%), suggesting both EIPA-sensitive and -insensitive compensatory mechanisms. Transepithelial Na(+) leakage followed by activation of basolateral NHE1 could confound the outcomes; however, the rates of Na(+)-dependent pH(i) recovery were independent of transepithelial leakiness to lucifer yellow and were unchanged in NHE1-null mice. NHE2 was immunolocalized on apical membranes of wild-type crypts but not NHE2-null tissue. NHE3 immunoreactivity was near the colonic surface but not at the crypt base in NHE2-null mice. Colonic surface cells from wild-type mice demonstrated S1611- and HOE694-sensitive pH(i) recovery in response to luminal sodium, confirming a functional role for both NHE3 and NHE2 at this site. We conclude that constitutive absence of NHE2 results in a compensatory increase in a Na(+)-dependent, EIPA-sensitive acid extruder distinct from NHE1, NHE3, or SITS-sensitive transporters.     

Modelling Spatially Regulated β-Catenin Dynamics and Invasion in Intestinal Crypts

Experimental data (e.g., genetic lineage and cell population studies) on intestinal crypts reveal that regulatory features of crypt behavior, such as control via morphogen gradients, are remarkably well conserved among numerous organisms (e.g., from mouse and rat to human) and throughout the different regions of the small and large intestines. In this article, we construct a partial differential equation model of a single colonic crypt that describes the spatial distribution of Wnt pathway proteins along the crypt axis. The novelty of our continuum model is that it is based upon assumptions that can be directly related to processes at the cellular and subcellular scales. We use the model to predict how the distributions of Wnt pathway proteins are affected by mutations. The model is then extended to investigate how mutant cell populations can invade neighboring crypts. The model simulations suggest that cell crowding caused by increased proliferation and decreased cell loss may be sufficient for a mutant cell population to colonize a neighboring healthy crypt.     

Rapid uptake of tyrphostin into A431 human epidermoid cells is followed by delayed inhibition of epidermal growth factor (EGF)-stimulated EGF receptor tyrosine kinase activity.

Treatment of A431 human epidermoid cells with epidermal growth factor (EGF; 20 nM) results in decreased proliferation. This is associated with blockage of the cells in the S and/or G2 phases of the cell cycle. We found that tyrphostin, a putative tyrosine kinase inhibitor, in the range of 50 to 100 microM, partially reversed the growth-inhibitory and cell cycle changes induced by EGF. By using high-pressure liquid chromatography with electrochemical detection, we found that tyrphostin was readily incorporated into A431 cells, reaching maximal levels within 1 h. Although tyrphostin (50 to 100 microM) had no effect on high-affinity binding of EGF to its receptor in A431 cells for up to 24 h, the compound partially inhibited EGF-stimulated EGF receptor tyrosine kinase activity. However, this effect was evident only after prolonged treatment of the cells (4 to 24 h) with the drug. When the peak intracellular concentration of tyrphostin occurred (1 h), no inhibition of tyrosine kinase activity was observed. After both 1 and 24 h, tyrphostin was a less effective inhibitor of tyrosine kinase activity than the potent tumor promoter 12-O-tetradecanoyl phorbol-13-acetate, which almost completely blocked EGF receptor autophosphorylation. On the basis of our data, we hypothesize that tyrphostin is not a competitive inhibitor of the EGF receptor tyrosine kinase in intact cells and that it functions by an indirect mechanism.     

Apoptosis and regeneration of enterocytes in experimental atrophy of the small intestine mucosa

Apoptosis, one of the types of cell deaths, participates in regulating the size of regenerated tissue. Severe atrophy of small intestine mucosa in mice was caused by the administration of hydroxyurea solution. The degree of atrophy correlated with a lowering mitotic activity and DNA synthesis in the epithelium of crypts. Apoptotic bodies were situated above the basal membrane, in crypt lumen or were phagocytized by adjacent epithelial cells. The development of atrophy, as well as the regeneration of mucosa can be predicted by the relation between mitosis and apoptosis.     

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.     

Actin reorganization as the molecular basis for the regulation of apoptosis in gastrointestinal epithelial cells

The gastrointestinal (GI) epithelium is a rapidly renewing tissue in which apoptosis represents part of the overall homeostatic process. Regulation of apoptosis in the GI epithelium is complex with a precise relationship between cell position and apoptosis. Apoptosis occurs spontaneously and in response to radiation and cytotoxic drugs at the base of the crypts. By contrast, the villus epithelial cells are extremely resistant to apoptosis. The molecular mechanism underlying this loss of function of villus epithelial cells to undergo apoptosis shortly after their exit from the crypt is unknown. In this study we demonstrate for the first time, that deletion of two homologous actin-binding proteins, villin and gelsolin renders villus epithelial cells extremely sensitive to apoptosis. Ultrastructural analysis of the villin-gelsolin(-/-) double-knockout mice shows an abnormal accumulation of damaged mitochondria demonstrating that villin and gelsolin function on an early step in the apoptotic signaling at the level of the mitochondria. A characterization of functional and ligand-binding mutants demonstrate that regulated changes in actin dynamics determined by the actin severing activities of villin and gelsolin are required to maintain cellular homeostasis. Our study provides a molecular basis for the regulation of apoptosis in the GI epithelium and identifies cell biological mechanisms that couple changes in actin dynamics to apoptotic cell death.     

Functional Cftr in crypt epithelium of organotypic enteroid cultures from murine small intestine

Physiological studies of intact crypt epithelium have been limited by problems of accessibility in vivo and dedifferentiation in standard primary culture. Investigations of murine intestinal stem cells have recently yielded a primary intestinal culture in three-dimensional gel suspension that recapitulates crypt structure and epithelial differentiation (Sato T, Vries RG, Snippert HJ, van de Wetering M, Barker N, Stange DE, Van Es JH, Abo A, Kujala P, Peters PJ, Clevers H. Nature 459: 262-265, 2009). We investigated the utility of murine intestinal crypt cultures (termed "enteroids") for physiological studies of crypt epithelium by focusing on the transport activity of the cystic fibrosis transmembrane conductance regulator Cftr. Enteroids had multiple crypts with well-differentiated goblet and Paneth cells that degranulated on exposure to the muscarinic agonist carbachol. Modified growth medium provided a crypt proliferation rate, as measured by 5-ethynyl-2'-deoxyuridine labeling, which was similar to proliferation in vivo. Immunoblots demonstrated equivalent Cftr expression in comparisons of freshly isolated crypts with primary and passage 1 enteroids. Apparent enteroid differences in mRNA expression of other transporters were primarily associated with villous epithelial contamination of freshly isolated crypts. Microelectrode analysis revealed cAMP-stimulated membrane depolarization in enteroid epithelium from wild-type (WT) but not Cftr knockout (KO) mice. Morphological and microfluorimetric studies, respectively, demonstrated Cftr-dependent cell shrinkage and lower intracellular pH in WT enteroid epithelium in contrast to Cftr KO epithelium or WT epithelium treated with Cftr inhibitor 172. We conclude that crypt epithelium of murine enteroids exhibit Cftr expression and activity that recapitulates crypt epithelium in vivo. Enteroids provide a primary culture model that is suitable for physiological studies of regenerating crypt epithelium.     

Three-dimensional binding of epidermal growth factor peptides in colonic tissues produced from rotating bioreactor

Epidermal growth factor peptide binding was analyzed on primary cultures of colonic cells and along crypts by fluorescent laser-scanning confocal microscopy, using a three-dimensional image analysis software (Quant3D, Linux/Unix). Structural, proliferative units from primary cultures grown in rotating bioreactor for 41 d were arranged according to a tubular symmetry or on a parallelepiped sheet. Mean width, height, and depth of 23 tissue-like masses (+/- standard error) were 125 microm (+/-16), 152 microm (+/-23), and 29 microm (+/-3), respectively. Mean density of nuclei in tissue-like masses, expressed as the number of nuclei per cubic millimeter (+/- standard error of the mean), was 1.8 x 10(5) (+/-0.7 x 10(5)) nuclei per cubic millimeter, which corresponded to a density that was five to six times lower than that estimated for the colonic crypt isolated by chelation. Spots of high epidermal growth factor (EGF) peptide binding that corresponded to microlesions in crypt monolayers or to active colonization of microcarriers by epithelial and stromal cells in tissue-like masses were observed. The relative intensities of EGF peptide binding that were obtained below cell position 8 on crypts were very homogeneous and were representative of the profile obtained with crypts isolated from adult rats adapted to a normal diet and used to develop primary cultures of colonocytes in our laboratory. A microscopic multidimensional analytic system to record the expression profiles of biomarkers along intestinal tissues should enhance the use of primary cultures of colonocytes for in vitro testing of new food products.     

Fermentable dietary fiber potentiates the localization of immune cells in the rat large intestinal crypts

Intestinal crypts are composed of a well-defined hierarchy of epithelial cells, and proliferating epithelial cells reside close to the bottom of the crypts-even in the large intestine. We investigated whether CD8(+)and CD4(+)intraepithelial lymphocytes (IELs) and CD161(+) natural killer (NK) cells localized in proliferating or differentiated epithelial region of cecum and colon. Both proliferating epithelial layer cells and the immune cells along the longitudinal crypt axis of the large intestine were measured histochemically. Dietary intervention revealed that the physiological localization of the immune cells in the longitudinal crypt axis depended on the immune cell type. CD8(+) IELs were preferentially located among differentiated epithelial cells. In contrast, CD161(+) NK cells were located adjacent to the epithelial cells at the bottom of crypt. Cecal crypts contained significantly larger numbers of CD8(+) IELs than did colonic crypts. However, there was only a minor population of CD4(+) IEL in the cecal and colonic epithelia. Some dietary fibers increased the densities of CD8(+) IELs and CD161(+) NK cells in the cecum, with the magnitude of response varying among the types of fiber. There was a significant relationship between SCFA and the localization of immune cells, especially CD8(+) IEL and CD161(+) NK cells, which are considered to be involved in the maintenance of epithelial homeostasis.     

The effect of estrogen on epithelial cell proliferation and differentiation in the crypts of the descending colon of the mouse: a radioautographic study

The regulatory role of estrogen on cell population kinetics in the descending colon was studied in intact female and ovariectomized mice. In the colonic crypts from intact mice, the crypt size (the number of epithelial cells per crypt column) and the proliferative activity of epithelial cells fluctuated slightly during the estrous cycle. Peak cellularity per crypt column was exhibted during estrus and early diestrus, whereas peaks in labeling index were seen during estrus and late metestrus. While the population size of mucous cells showed a minimal variation, the number of proliferative vacuolated cells per crypt column varied inversely with that of differentiated columnar cells during estrous cycle. The vacuolated cells were increased in number in the preovulatory phase and the columnar cells in the postovulatory phase. Three weeks after bilateral ovariectomy, the colonic crypt appeared to reach a new steady state, which was characterized by a small crypt size, a decrease in the number of differentiated cells, an increase in the relative number of proliferative cells and a relative increase in the proliferative activity of the crypt as compared to intact mice. When ovariectomized mice were treated with estrogen, the number of 3H-thymidine-labeled cells in the crypt was decreased as compared to untreated ovariectomized mice, the decrease being greater after a single injection than after multiple injections of estrogen, and the vacuolated-columnar cell line being affected more than mucous cell line. Meanwhile, the crypt size as well as the population size of differentiated cells in the crypt failed to return to normal after estrogen treatments. Thus, estrogen did not promote differentiation of epithelial cells in the crypt.     

Regeneration of colonic mucosa in the rat

As part of a study of ulcer formation and healing, regeneration of colonic mucosa in rats was studied following placement of a surgical lesion. Alterations in mucosubstances and connective tissue were examined and their possible significance discussed. The sequence of events in healing was: (1) The mucosa adjacent to the lesion tipped into the lesioned area. The crypts in this mucosa became lined with cells which contained no mucus and had no striated borders. Later in the experimental period, these undifferentiated cells gave rise to cells containing carboxymucins. Cells containing sulfomucin, neutral mucin, or having striated borders arose from the carboxymucin cells. (2) An epithelial ledge of undifferentiated cells migrated onto a sulfated glycosaminoglycan, fibrous interface between necrotic and living tissue in the lesion. (3) Crypt formation began with the appearance of intraepithelial anlagen. (4) Crypts lengthened by a process of epithelial-connective tissue proliferation from the base of the crypt upwards. Following completion of connective tissue regeneration, crypts formed by invading the reestablished lamina propria. (5) The first mucous cells in the ledge contained carboxymucins. As crypt formation occurred, these cells gave rise to typical columnar absorptive cells, to cells containing sulfomucins, and to cells containing neutral mucins. (6) Lengthening of crypts ceased following the appearance of a sulfated acid glycosaminoglycan—collagenous layer deep in the submucosa.     

Taenia taeniaeformis: colonic hyperplasia in heavily infected rats

Only one study previously mentioned the involvement of colon during Taenia taeniaeformis larvae infection in rats with inconsistent occurrence of lesions. Present study aimed to determine the consistency of histopathologic changes in colonic epithelia, and the proliferation of mucosal cells through BrdU and PCNA immunohistochemistry. Results demonstrated that crypt hyperplasia of the colon was found in all infected rats, although variable in degree even in a single tissue section. Cystic cavities were frequently seen in severely hyperplastic mucosa. Proliferative zone lengths were significantly increased and PCNA positive cells were observed throughout the colonic crypt lengths at 9 but not at 6 weeks post infection. Cell proliferation involving the major types of cells in the epithelial colon was also increased in infected rats at 9 weeks post infection, with labeling indices significantly greater than the control rats throughout the BrdU time course labeling. Findings suggested that massive increases in epithelial cells and depth of colonic crypts were due to a remarkable increase in cell proliferation. The study concluded that enteropathy in the colon during T. taeniaeformis infection could be consistently observed in heavily infected rats.     

Patterns of Proliferative Activity in the Colonic Crypt Determine Crypt Stability and Rates of Somatic Evolution

Epithelial cells in the colon are arranged in cylindrical structures called crypts in which cellular proliferation and migration are tightly regulated. We hypothesized that the proliferation patterns of cells may determine the stability of crypts as well as the rates of somatic evolution towards colorectal tumorigenesis. Here, we propose a linear process model of colonic epithelial cells that explicitly takes into account the proliferation kinetics of cells as a function of cell position within the crypt. Our results indicate that proliferation kinetics has significant influence on the speed of cell movement, kinetics of mutation propagation, and sensitivity of the system to selective effects of mutated cells. We found that, of all proliferation curves tested, those with mitotic activities concentrated near the stem cell, including the actual proliferation kinetics determined in in vivo labeling experiments, have a greater ability of delaying the rate of mutation accumulation in colonic stem cells compared to hypothetical proliferation curves with mitotic activities focused near the top of the crypt column. Our model can be used to investigate the dynamics of proliferation and mutation accumulation in spatially arranged tissues.