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Colon crypts are recognized as a mechanical and biochemical Turing patterning model. Colon epithelial Caco‐2 cell monolayer demonstrated 2D Turing patterns via force analysis of apical tight junction live cell imaging which illuminated actomyosin meshwork linking the actomyosin network of individual cells. Actomyosin forces act in a mechanobiological manner that alters cell/nucleus/tissue morphology. We observed the rotational motion of the nucleus in Caco‐2 cells that appears to be driven by actomyosin during the formation of a differentiated confluent epithelium. Single‐ to multi‐cell ring/torus‐shaped genomes were observed prior to complex fractal Turing patterns extending from a rotating torus centre in a spiral pattern consistent with a gene morphogen motif. These features may contribute to the well‐described differentiation from stem cells at the crypt base to the luminal colon epithelium along the crypt axis. This observation may be useful to study the role of mechanogenomic processes and the underlying molecular mechanisms as determinants of cellular and tissue architecture in space and time, which is the focal point of the 4D nucleome initiative. Mathematical and bioengineer modelling of gene circuits and cell shapes may provide a powerful algorithm that will contribute to future precision medicine relevant to a number of common medical disorders.

Colorectal cancer (CRC) is a major cause of cancer mortality; loss of the Apc gene is an early step in the formation of CRC. A new computational model of the colonic crypt has been developed to simulate the effects of Apc loss. The model includes a region of flat mucosa, which has not previously been considered in the context of Apc loss. The model suggests that Apc loss confers a survival advantage at the crypt mouth which may be a previously unknown method of mutation fixation.

ObjectiveThe crypt population in the human intestine is dynamic: crypts can divide to produce two new daughter crypts through a process termed crypt fission, but whether this is balanced by a second process to remove crypts, as recently shown in mouse models, is uncertain. We examined whether crypt fusion (the process of two neighbouring crypts fusing into a single daughter crypt) occurs in the human colon.DesignWe used somatic alterations in the gene cytochrome c oxidase (CCO) as lineage tracing markers to assess the clonality of bifurcating colon crypts (n=309 bifurcating crypts from 13 patients). Mathematical modelling was used to determine whether the existence of crypt fusion can explain the experimental data, and how the process of fusion influences the rate of crypt fission.ResultsIn 55% (21/38) of bifurcating crypts in which clonality could be assessed, we observed perfect segregation of clonal lineages to the respective crypt arms. Mathematical modelling showed that this frequency of perfect segregation could not be explained by fission alone (p−20). With the rates of fission and fusion taken to be approximately equal, we then used the distribution of CCO-deficient patch size to estimate the rate of crypt fission, finding a value of around 0.011 divisions/crypt/year.ConclusionsWe have provided the evidence that human colonic crypts undergo fusion, a potential homeostatic process to regulate total crypt number. The existence of crypt fusion in the human colon adds a new facet to our understanding of the highly dynamic and plastic phenotype of the colonic epithelium.

There is a need in biological research for tools designed to manipulate the environment surrounding microscopic regions of tissue. In the current work, a device for the oriented capture of an important and under-studied tissue, the colon crypt, has been designed and tested. The objective of this work is to create a BioMEMs device for biological assays of living colonic crypts. The end goal will be to subject the polarized tissue to user-controlled fluidic microenvironments in a manner that recapitulates the in vivo state. Crypt surrogates, polymeric structures of similar dimensions and shape to isolated colon crypts, were used in the initial design and testing of the device. Successful capture of crypt surrogates was accomplished on a simple device composed of an array of micron-scale capture sites that enabled individual structures to be captured with high efficiency (92 ± 3%) in an ordered and properly oriented fashion. The device was then evaluated using colon crypts isolated from a murine animal model. The capture efficiency attained using the fixed biologic sample was 37 ± 5% due to the increased variability of the colon crypts compared with the surrogate structures, yet 94% ± 3% of the captured crypts were properly oriented. A simple approach to plug the remaining capture sites in the array was performed using inert glass beads. Blockage of unfilled capture sites is an important feature to establish a chemical gradient across the arrayed crypts. A chemical concentration gradient (Cluminal/Cbasal > 10) was demonstrated across the arrayed crypts for over 8 h. Finally unfixed colon crypts were demonstrated to be effectively captured by the micromesh array and to remain viable on the capture sites at 5 h after mouse sacrifice. The present study demonstrates the feasibility and potential for rationally microengineered technologies to address the specific needs of the biologic researcher.

Colons of young adult Sprague-Dawley rats are embedded in paraffin, cut, and stained with Feulgen. The sections are scanned with a Quantimet-system 23 image analyzer under PDP - 11 34 computer control. Each crypt is digitized into 192 × 700 8-bits pixels. The images are stored on magnetic tapes and processed on a PDP - 15 76 computer providing the necessary features for interactive image analysis. The epithelium of each crypt image is separated, and the cells are ordered and numbered according to their position in relation to crypt origin. The location of mitotic figures is also recorded. The progenitor region outer boundary is estimated with the aid of life table analysis. The program also computes the average crypt length and the progenitor/functional ratio, and estimates the epithelial cell production rate.

SummaryThe survival of mouse colon crypts after X-irradiation has been studied by the microcolony technique. The D0 for crypt survival was 266 rad after whole-body irradiation in air, but when the colon alone was irradiated, the D0 was 340 rad. In mice which were breathing 95 per cent oxygen, the D0 values were 238 rad for whole-body and 302 rad for colon irradiation. The survival curves were all extrapolated to the same number, and the DQ was also increased with colon irradiation. There was, therefore an enhancement of colon crypt survival of about 27 per cent by local as opposed to whole-body irradiation. These results might be explained by a circulating repair promoter or by the production of a toxin after whole-body irradiation.

An adequate neoplastic grading system should provide a framework for a precise expression of cell turnover and differentiation. The grading system proposed herewith is applicable to all tissue pathologies associated with changes in cell turnover and differentiation, including neoplasia. It is illustrated on rapidly proliferating tissues known as continuous replicators e.g. the colon crypt epithelium. The enterocyte starts its existence at crypt bottom, during a stem cell division whereupon it gradually advances outward, differentiating as it goes. The typical path covered by the cell, denominated as tissue radius summarizes its life history. The cell is viewed as a point advancing on the radius in a rectlinear motion, defined by two variables: Distance from radius origin ‘x’, defined as the cell location number separating it from origin, and its velocity v(x) defined as the cell location number it covers per unit of time. The path the cell covers is represented by a trajectory in a two dimensional Galilean geometry. The cell's transition from state to state is defined by two transformations: Displacement and shear. Each continuous replicator is represented by a typical trajectory which differs in different pathologies. Neoplastic progression in the continuous replicator may be expressed as a trajectory in the Galilean geometry, which serves also for a unique grading of neoplasia.

Background Normal colon crypts consist of stem cells, proliferating cells, and differentiated cells. Abnormal rates of proliferation and differentiation can initiate colon cancer. We have measured the variation in the number of each of these cell types in multiple crypts in normal human biopsy specimens. This has provided the opportunity to produce a calibrated computational model that simulates cell dynamics in normal human crypts, and by changing model parameter values, to simulate the initiation and treatment of colon cancer. Results An agent-based model of stochastic cell dynamics in human colon crypts was developed in the multi-platform open-source application NetLogo. It was assumed that each cell’s probability of proliferation and probability of death is determined by its position in two gradients along the crypt axis, a divide gradient and in a die gradient. A cell’s type is not intrinsic, but rather is determined by its position in the divide gradient. Cell types are dynamic, plastic, and inter-convertible. Parameter values were determined for the shape of each of the gradients, and for a cell’s response to the gradients. This was done by parameter sweeps that indicated the values that reproduced the measured number and variation of each cell type, and produced quasi-stationary stochastic dynamics. The behavior of the model was verified by its ability to reproduce the experimentally observed monocolonal conversion by neutral drift, the formation of adenomas resulting from mutations either at the top or bottom of the crypt, and by the robust ability of crypts to recover from perturbation by cytotoxic agents. One use of the virtual crypt model was demonstrated by evaluating different cancer chemotherapy and radiation scheduling protocols. Conclusions A virtual crypt has been developed that simulates the quasi-stationary stochastic cell dynamics of normal human colon crypts. It is unique in that it has been calibrated with measurements of human biopsy specimens, and it can simulate the variation of cell types in addition to the average number of each cell type. The utility of the model was demonstrated with in silico experiments that evaluated cancer therapy protocols. The model is available for others to conduct additional experiments.