1
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Mapping and exploring the organoid state space using synthetic biology. Semin Cell Dev Biol 2023; 141:23-32. [PMID: 35466054 DOI: 10.1016/j.semcdb.2022.04.015] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/28/2022] [Accepted: 04/13/2022] [Indexed: 12/12/2022]
Abstract
The functional relevance of an organoid is dependent on the differentiation, morphology, cell arrangement and biophysical properties, which collectively define the state of an organoid. For an organoid culture, an individual organoid or the cells that compose it, these state variables can be characterised, most easily by transcriptomics and by high-content image analysis. Their states can be compared to their in vivo counterparts. Current evidence suggests that organoids explore a wider state space than organs in vivo due to the lack of niche signalling and the variability of boundary conditions in vitro. Using data-driven state inference and in silico modelling, phase diagrams can be constructed to systematically sort organoids along biochemical or biophysical axes. These phase diagrams allow us to identify control strategies to modulate organoid state. To do so, the biochemical and biophysical environment, as well as the cells that seed organoids, can be manipulated.
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2
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Ramezani A, Britton S, Zandi R, Alber M, Nematbakhsh A, Chen W. A multiscale chemical-mechanical model predicts impact of morphogen spreading on tissue growth. NPJ Syst Biol Appl 2023; 9:16. [PMID: 37210381 DOI: 10.1038/s41540-023-00278-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2022] [Accepted: 05/03/2023] [Indexed: 05/22/2023] Open
Abstract
The exact mechanism controlling cell growth remains a grand challenge in developmental biology and regenerative medicine. The Drosophila wing disc tissue serves as an ideal biological model to study mechanisms involved in growth regulation. Most existing computational models for studying tissue growth focus specifically on either chemical signals or mechanical forces. Here we developed a multiscale chemical-mechanical model to investigate the growth regulation mechanism based on the dynamics of a morphogen gradient. By comparing the spatial distribution of dividing cells and the overall tissue shape obtained in model simulations with experimental data of the wing disc, it is shown that the size of the domain of the Dpp morphogen is critical in determining tissue size and shape. A larger tissue size with a faster growth rate and more symmetric shape can be achieved if the Dpp gradient spreads in a larger domain. Together with Dpp absorbance at the peripheral zone, the feedback regulation that downregulates Dpp receptors on the cell membrane allows for further spreading of the morphogen away from its source region, resulting in prolonged tissue growth at a more spatially homogeneous growth rate.
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Affiliation(s)
- Alireza Ramezani
- Department of Physics and Astronomy, University of California, Riverside, CA, 92521, USA
- Interdisciplinary Center for Quantitative Modeling in Biology, University of California, Riverside, CA, 92521, USA
| | - Samuel Britton
- Department of Mathematics, University of California, Riverside, CA, 92521, USA
| | - Roya Zandi
- Department of Physics and Astronomy, University of California, Riverside, CA, 92521, USA
- Interdisciplinary Center for Quantitative Modeling in Biology, University of California, Riverside, CA, 92521, USA
| | - Mark Alber
- Interdisciplinary Center for Quantitative Modeling in Biology, University of California, Riverside, CA, 92521, USA
- Department of Mathematics, University of California, Riverside, CA, 92521, USA
| | - Ali Nematbakhsh
- Department of Mathematics, University of California, Riverside, CA, 92521, USA.
| | - Weitao Chen
- Interdisciplinary Center for Quantitative Modeling in Biology, University of California, Riverside, CA, 92521, USA.
- Department of Mathematics, University of California, Riverside, CA, 92521, USA.
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3
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Gu NX, Guo YR, Lin SE, Wang YH, Lin IH, Chen YF, Yen Y. Frizzled 7 modulates goblet and Paneth cell fate, and maintains homeostasis in mouse intestine. Development 2023; 150:287020. [PMID: 36691900 PMCID: PMC10112897 DOI: 10.1242/dev.200932] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2022] [Accepted: 01/17/2023] [Indexed: 01/25/2023]
Abstract
Intestinal homeostasis depends on interactions between the intestinal epithelium, the immune system and the microbiota. Because of these complicated connections, there are many problems that need to be solved. Current research has indicated that genes targeted by Wnt signaling are responsible for controlling intestinal stem cell fate and for modulating intestinal homeostasis. Our data show that loss of frizzled 7 (Fzd7), an important element in Wnt signaling, interrupts the differentiation of mouse intestinal stem cells into absorptive progenitors instead of secretory progenitors (precursors of goblet and Paneth cells). The alteration in canonical Wnt and Notch signaling pathways interrupts epithelial homeostasis, resulting in a decrease in physical protection in the intestine. Several phenotypes in our Fzd7-deleted model were similar to the features of enterocolitis, such as shortened intestines, decreased numbers of goblet cells and Paneth cells, and severe inflammation. Additionally, loss of Fzd7 exacerbated the defects in a chemical-induced colitis model and could initiate tumorigenesis. These findings may provide important information for the discovery of efficient therapeutic methods to treat enterocolitis and related cancers in the intestines.
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Affiliation(s)
- Nai-Xin Gu
- The PhD Program for Translational Medicine, College of Medical Science and Technology, Taipei Medical University and Academia Sinica, Taipei 11529, Taiwan
| | - Yu-Ru Guo
- Graduate Institute of Cancer Biology and Drug Discovery, College of Medical Science and Technology, Taipei Medical University, Taipei 11031, Taiwan
| | - Sey-En Lin
- Department of Anatomic Pathology, New Taipei Municipal Tucheng Hospital, Chang Gung Memorial Hospital and Chang Gung University, New Taipei City 236017, Taiwan
| | - Yen-Hsin Wang
- Graduate Institute of Translational Medicine, College of Medical Science and Technology, Taipei Medical University, Taipei 11031, Taiwan
| | - I-Hsuan Lin
- TMU Research Center of Cancer Translational Medicine, Taipei Medical University, Taipei 11031, Taiwan
| | - Yi-Fan Chen
- The PhD Program for Translational Medicine, College of Medical Science and Technology, Taipei Medical University and Academia Sinica, Taipei 11529, Taiwan
- Graduate Institute of Translational Medicine, College of Medical Science and Technology, Taipei Medical University, Taipei 11031, Taiwan
- Master Program in Clinical Genomics and Proteomics, School of Pharmacy, Taipei Medical University, Taipei 11031, Taiwan
- International Ph.D. Program for Translational Science, College of Medical Science and Technology, Taipei Medical University, Taipei 11031 , Taiwan
| | - Yun Yen
- Graduate Institute of Cancer Biology and Drug Discovery, College of Medical Science and Technology, Taipei Medical University, Taipei 11031, Taiwan
- TMU Research Center of Cancer Translational Medicine, Taipei Medical University, Taipei 11031, Taiwan
- Ph.D. Program for Cancer Molecular Biology and Drug Discovery, College of Medical Science and Technology, Taipei Medical University, Taipei 11031, Taiwan
- Cancer Center, Taipei Municipal WanFang Hospital, Taipei 116081 , Taiwan
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4
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Fischer MM, Herzel H, Blüthgen N. Mathematical modelling identifies conditions for maintaining and escaping feedback control in the intestinal epithelium. Sci Rep 2022; 12:5569. [PMID: 35368028 PMCID: PMC8976856 DOI: 10.1038/s41598-022-09202-z] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2021] [Accepted: 03/17/2022] [Indexed: 02/07/2023] Open
Abstract
The intestinal epithelium is one of the fastest renewing tissues in mammals. It shows a hierarchical organisation, where intestinal stem cells at the base of crypts give rise to rapidly dividing transit amplifying cells that in turn renew the pool of short-lived differentiated cells. Upon injury and stem-cell loss, cells can also de-differentiate. Tissue homeostasis requires a tightly regulated balance of differentiation and stem cell proliferation, and failure can lead to tissue extinction or to unbounded growth and cancerous lesions. Here, we present a two-compartment mathematical model of intestinal epithelium population dynamics that includes a known feedback inhibition of stem cell differentiation by differentiated cells. The model shows that feedback regulation stabilises the number of differentiated cells as these become invariant to changes in their apoptosis rate. Stability of the system is largely independent of feedback strength and shape, but specific thresholds exist which if bypassed cause unbounded growth. When dedifferentiation is added to the model, we find that the system can recover faster after certain external perturbations. However, dedifferentiation makes the system more prone to losing homeostasis. Taken together, our mathematical model shows how a feedback-controlled hierarchical tissue can maintain homeostasis and can be robust to many external perturbations.
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Affiliation(s)
- Matthias M Fischer
- Institute for Theoretical Biology, Charité Universitätsmedizin Berlin and Humboldt Universität zu Berlin, Berlin, 10115, Germany
- Institute of Pathology, Charité Universitätsmedizin Berlinn, Berlin, 10117, Germany
| | - Hanspeter Herzel
- Institute for Theoretical Biology, Charité Universitätsmedizin Berlin and Humboldt Universität zu Berlin, Berlin, 10115, Germany
| | - Nils Blüthgen
- Institute for Theoretical Biology, Charité Universitätsmedizin Berlin and Humboldt Universität zu Berlin, Berlin, 10115, Germany.
- Institute of Pathology, Charité Universitätsmedizin Berlinn, Berlin, 10117, Germany.
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5
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Dharmapal D, Jyothy A, Mohan A, Balagopal PG, George NA, Sebastian P, Maliekal TT, Sengupta S. β-Tubulin Isotype, TUBB4B, Regulates The Maintenance of Cancer Stem Cells. Front Oncol 2021; 11:788024. [PMID: 35004310 PMCID: PMC8733585 DOI: 10.3389/fonc.2021.788024] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2021] [Accepted: 12/06/2021] [Indexed: 12/12/2022] Open
Abstract
Recent advancements in cancer research have shown that cancer stem cell (CSC) niche is a crucial factor modulating tumor progression and treatment outcomes. It sustains CSCs by orchestrated regulation of several cytokines, growth factors, and signaling pathways. Although the features defining adult stem cell niches are well-explored, the CSC niche is poorly characterized. Since membrane trafficking proteins have been shown to be essential for the localization of critical proteins supporting CSCs, we investigated the role of TUBB4B, a probable membrane trafficking protein that was found to be overexpressed in the membranes of stem cell enriched cultures, in sustaining CSCs in oral cancer. Here, we show that the knockdown of TUBB4B downregulates the expression of pluripotency markers, depletes ALDH1A1+ population, decreases in vitro sphere formation, and diminishes the tumor initiation potential in vivo. As TUBB4B is not known to have any role in transcriptional regulation nor cell signaling, we suspected that its membrane trafficking function plays a role in constituting a CSC niche. The pattern of its expression in tissue sections, forming a gradient in and around the CSCs, reinforced the notion. Later, we explored its possible cooperation with a signaling protein, Ephrin-B1, the abrogation of which reduces the self-renewal of oral cancer stem cells. Expression and survival analyses based on the TCGA dataset of head and neck squamous cell carcinoma (HNSCC) samples indicated that the functional cooperation of TUBB4 and EFNB1 results in a poor prognosis. We also show that TUBB4B and Ephrin-B1 cohabit in the CSC niche. Moreover, depletion of TUBB4B downregulates the membrane expression of Ephrin-B1 and reduces the CSC population. Our results imply that the dynamics of TUBB4B is decisive for the surface localization of proteins, like Ephrin-B1, that sustain CSCs by their concerted signaling.
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Affiliation(s)
- Dhrishya Dharmapal
- Cancer Research, Rajiv Gandhi Centre for Biotechnology, Thiruvananthapuram, India
- Department of Biotechnology, University of Kerala, Thiruvananthapuram, India
| | - Athira Jyothy
- Cancer Research, Rajiv Gandhi Centre for Biotechnology, Thiruvananthapuram, India
- Department of Biotechnology, University of Kerala, Thiruvananthapuram, India
| | - Amrutha Mohan
- Cancer Research, Rajiv Gandhi Centre for Biotechnology, Thiruvananthapuram, India
- Manipal Academy of Higher Education, Manipal, India
| | - P. G. Balagopal
- Surgical Oncology, Regional Cancer Centre, Thiruvananthapuram, India
| | | | - Paul Sebastian
- Surgical Oncology, Regional Cancer Centre, Thiruvananthapuram, India
| | | | - Suparna Sengupta
- Cancer Research, Rajiv Gandhi Centre for Biotechnology, Thiruvananthapuram, India
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6
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Kai Y. Intestinal villus structure contributes to even shedding of epithelial cells. Biophys J 2021; 120:699-710. [PMID: 33453270 DOI: 10.1016/j.bpj.2021.01.003] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2020] [Revised: 01/04/2021] [Accepted: 01/08/2021] [Indexed: 12/14/2022] Open
Abstract
In the intestinal epithelium, proliferated epithelial cells ascend the crypts and villi and shed at the villus tips into the gut lumen. In this study, we theoretically investigate the roles of the villi on cell turnover. We present a stochastic model that focuses on the duration over which cells migrate the shortest paths between the crypt orifices and the villus tips, where shedding cells are randomly chosen from among those older than the shortest-path cell migration times. By extending the length of the shortest path to delay cell shedding, the finger-like shape of the villus would tightly regulate shedding-cell ages compared with flat surfaces and shorter projections; the villus allows epithelial cells to shed at around the same age, which limits them from shedding early or staying in the epithelium for long periods. Computational simulations of cell dynamics agreed well with the predictions. We also examine various mechanical conditions of cells and confirm that coordinated collective cell migration supports the predictions. These results suggest the important roles of the villi in homeostatic maintenance of the small intestine, and we discuss the applicability of our approach to other tissues with collective cell movement.
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Affiliation(s)
- Yuto Kai
- Department of Anatomy and Cell Biology, Graduate School of Medical Sciences, Kyushu University, Fukuoka, Japan.
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7
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Almet AA, Maini PK, Moulton DE, Byrne HM. Modeling perspectives on the intestinal crypt, a canonical system for growth, mechanics, and remodeling. CURRENT OPINION IN BIOMEDICAL ENGINEERING 2020. [DOI: 10.1016/j.cobme.2019.12.012] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022]
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8
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Bocci F, Onuchic JN, Jolly MK. Understanding the Principles of Pattern Formation Driven by Notch Signaling by Integrating Experiments and Theoretical Models. Front Physiol 2020; 11:929. [PMID: 32848867 PMCID: PMC7411240 DOI: 10.3389/fphys.2020.00929] [Citation(s) in RCA: 53] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/08/2020] [Accepted: 07/10/2020] [Indexed: 02/06/2023] Open
Abstract
Notch signaling is an evolutionary conserved cell-cell communication pathway. Besides regulating cell-fate decisions at an individual cell level, Notch signaling coordinates the emergent spatiotemporal patterning in a tissue through ligand-receptor interactions among transmembrane molecules of neighboring cells, as seen in embryonic development, angiogenesis, or wound healing. Due to its ubiquitous nature, Notch signaling is also implicated in several aspects of cancer progression, including tumor angiogenesis, stemness of cancer cells and cellular invasion. Here, we review experimental and computational models that help understand the operating principles of cell patterning driven by Notch signaling. First, we discuss the basic mechanisms of spatial patterning via canonical lateral inhibition and lateral induction mechanisms, including examples from angiogenesis, inner ear development and cancer metastasis. Next, we analyze additional layers of complexity in the Notch pathway, including the effect of varying cell sizes and shapes, ligand-receptor binding within the same cell, variable binding affinity of different ligand/receptor subtypes, and filopodia. Finally, we discuss some recent evidence of mechanosensitivity in the Notch pathway in driving collective epithelial cell migration and cardiovascular morphogenesis.
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Affiliation(s)
- Federico Bocci
- Center for Theoretical Biological Physics, Rice University, Houston, TX, United States
| | - José Nelson Onuchic
- Center for Theoretical Biological Physics, Rice University, Houston, TX, United States
- Department of Physics and Astronomy, Rice University, Houston, TX, United States
- Department of Chemistry, Rice University, Houston, TX, United States
- Department of Biosciences, Rice University, Houston, TX, United States
| | - Mohit Kumar Jolly
- Centre for BioSystems Science and Engineering, Indian Institute of Science, Bengaluru, India
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9
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Park Y, O'Rourke S, Taki FA, Alfhili MA, Lee MH. Dose-Dependent Effects of GLD-2 and GLD-1 on Germline Differentiation and Dedifferentiation in the Absence of PUF-8. Front Cell Dev Biol 2020; 8:5. [PMID: 32039211 PMCID: PMC6992537 DOI: 10.3389/fcell.2020.00005] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2019] [Accepted: 01/08/2020] [Indexed: 11/29/2022] Open
Abstract
PUMILIO/FBF (PUF) proteins have a conserved function in stem cell regulation. Caenorhabditis elegans PUF-8 protein inhibits the translation of target mRNAs by interacting with PUF binding element (PBE) in the 3′ untranslated region (3′ UTR). In this work, an in silico analysis has identified gld-2 [a poly(A) polymerase] as a putative PUF-8 target. Biochemical and reporter analyses showed that PUF-8 specifically binds to a PBE in gld-2 3′ UTR and represses a GFP reporter gene carrying gld-2 3′ UTR in the C. elegans mitotic germ cells. GLD-2 enhances meiotic entry at least in part by activating GLD-1 (a KH motif-containing RNA-binding protein). Our genetic analyses also demonstrated that heterozygous gld-2(+/−) gld-1(+/−) genes in the absence of PUF-8 are competent for meiotic entry (early differentiation), but haplo-insufficient for the meiotic division (terminal differentiation) of spermatocytes. Indeed, the arrested spermatocytes return to mitotic cells via dedifferentiation, which results in germline tumors. Since these regulators are broadly conserved, we thus suggest that similar molecular mechanisms may control differentiation, dedifferentiation, and tumorigenesis in other organisms, including humans.
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Affiliation(s)
- Youngyong Park
- Department of Internal Medicine, Division of Hematology/Oncology, Brody School of Medicine at East Carolina University, Greenville, NC, United States
| | - Samuel O'Rourke
- Department of Internal Medicine, Division of Hematology/Oncology, Brody School of Medicine at East Carolina University, Greenville, NC, United States
| | - Faten A Taki
- Department of Pharmacology, Weill Cornell Medical College, New York, NY, United States
| | - Mohammad A Alfhili
- Department of Internal Medicine, Division of Hematology/Oncology, Brody School of Medicine at East Carolina University, Greenville, NC, United States.,Department of Clinical Laboratory Sciences, College of Applied Medical Sciences, King Saud University, Riyadh, Saudi Arabia
| | - Myon Hee Lee
- Department of Internal Medicine, Division of Hematology/Oncology, Brody School of Medicine at East Carolina University, Greenville, NC, United States
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10
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Ballweg R, Lee S, Han X, Maini PK, Byrne H, Hong CI, Zhang T. Unraveling the Control of Cell Cycle Periods during Intestinal Stem Cell Differentiation. Biophys J 2018; 115:2250-2258. [PMID: 30467024 DOI: 10.1016/j.bpj.2018.10.025] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2018] [Revised: 10/01/2018] [Accepted: 10/22/2018] [Indexed: 01/20/2023] Open
Abstract
During differentiation, intestinal stem cells (ISCs), a prototypical adult stem cell pool, become either secretory transit-amplifying cells, which give rise to all secretory cell types, or absorptive transit-amplifying cells, which give rise to enterocytes. These cells exhibit distinct cell cycle dynamics: ISCs cycle with a period of 24 h and absorptive transit-amplifying cells cycle with a period of ∼12 h, whereas secretory transit-amplifying cells arrest their cycle. The cell cycle dynamics of ISCs and their progeny are a systems-level property that emerges from interactions between the cell cycle control machinery and multiple regulatory pathways. Although many mathematical models have been developed to study the details of the cell cycle and related regulatory pathways, few models have been constructed to unravel the dynamic consequences of their interactions. To fill this gap, we present a simplified model focusing on the interaction between four key regulatory pathways (STAT, Wnt, Notch, and MAPK) and cell cycle control. After experimentally validating a model prediction, which showed that the Notch pathway can fine-tune the cell cycle period, we perform further model analysis that reveals that the change of cell cycle period accompanying ISC differentiation may be controlled by a design principle that has been well studied in dynamical systems theory-a saddle node on invariant circle bifurcation. Given that the mechanisms that control the cell cycle are conserved in most eukaryotic cell types, this general principle potentially controls the interplay between proliferation and differentiation for a broad range of stem cells.
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Affiliation(s)
- Richard Ballweg
- Department of Pharmacology and Systems Physiology, College of Medicine, University of Cincinnati, Cincinnati, Ohio
| | - Suengwon Lee
- Department of Pharmacology and Systems Physiology, College of Medicine, University of Cincinnati, Cincinnati, Ohio
| | - Xiaonan Han
- Division of Gastroenterology, Hepatology, and Nutrition, Cincinnati Children's Hospital, Cincinnati, Ohio; Key Laboratory of Human Disease Comparative Medicine, Health Ministry, Beijing, China; Institute of Laboratory Animal Science, Chinese Academy of Medical Science and Peking Union Medical College, Beijing, China
| | - Philip K Maini
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom
| | - Helen Byrne
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom
| | - Christian I Hong
- Department of Pharmacology and Systems Physiology, College of Medicine, University of Cincinnati, Cincinnati, Ohio; Division of Developmental Biology, Cincinnati Children's Hospital Medical Center, Cincinnati, Ohio; Center for Stem Cell and Organoid Medicine, Cincinnati Children's Hospital Medical Center, Cincinnati, Ohio
| | - Tongli Zhang
- Department of Pharmacology and Systems Physiology, College of Medicine, University of Cincinnati, Cincinnati, Ohio.
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11
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Mines RC, Dohlman A, Lim SX, Tung KL, Wang E, Shen X. Spatial Patterning from an Integrated Wnt/β-catenin and Notch/Delta Gene Circuit. ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. ANNUAL INTERNATIONAL CONFERENCE 2018; 2018:5022-5025. [PMID: 30441469 PMCID: PMC7081632 DOI: 10.1109/embc.2018.8513462] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Classically, the Wnt/β-catenin and Notch /Delta signaling pathways were thought to operate through separate mechanisms, performing distinct roles in tissue patterning. However, it has been shown that b-catenin activates transcription of Hesl, a signaling intermediate in the Notch /Delta pathway that controls its lateral inhibition mechanism. To investigate this non-canonical crosstalk mechanism, a new gene circuit, integrating the two pathways, is proposed and simulated in two-cell and multi-cell environments. This model also captures both Paneth cell- mediated and mesenchymal Wnt production. The simulations verify that the gene circuit is temporally bistable and capable of forming a pattern on a multi-cell grid. Last, the model exhibits a bifurcation based on the steady state concentration of Wnt and the relative amount of control b-catenin has over the Hesl promoter, providing a possible mechanism to explain why a homogeneous population of transit amplifying cells is observed directly above the more diverse stem niche.
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12
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Perochon J, Carroll LR, Cordero JB. Wnt Signalling in Intestinal Stem Cells: Lessons from Mice and Flies. Genes (Basel) 2018; 9:genes9030138. [PMID: 29498662 PMCID: PMC5867859 DOI: 10.3390/genes9030138] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2018] [Revised: 02/17/2018] [Accepted: 02/21/2018] [Indexed: 12/12/2022] Open
Abstract
Adult stem cells play critical roles in the basal maintenance of tissue integrity, also known as homeostasis, and in tissue regeneration following damage. The highly conserved Wnt signalling pathway is a key regulator of stem cell fate. In the gastrointestinal tract, Wnt signalling activation drives homeostasis and damage-induced repair. Additionally, deregulated Wnt signalling is a common hallmark of age-associated tissue dysfunction and cancer. Studies using mouse and fruit fly models have greatly improved our understanding of the functional contribution of the Wnt signalling pathway in adult intestinal biology. Here, we summarize the latest knowledge acquired from mouse and Drosophila research regarding canonical Wnt signalling and its key functions during stem cell driven intestinal homeostasis, regeneration, ageing and cancer.
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Affiliation(s)
- Jessica Perochon
- Wolfson Wohl Cancer Research Centre, Institute of Cancer Sciences, University of Glasgow, Garscube Estate, Switchback Road, Glasgow G61 1QH, UK.
| | - Lynsey R Carroll
- Wolfson Wohl Cancer Research Centre, Institute of Cancer Sciences, University of Glasgow, Garscube Estate, Switchback Road, Glasgow G61 1QH, UK.
| | - Julia B Cordero
- Wolfson Wohl Cancer Research Centre, Institute of Cancer Sciences, University of Glasgow, Garscube Estate, Switchback Road, Glasgow G61 1QH, UK.
- CRUK Beatson Institute, Institute of Cancer Sciences, University of Glasgow, Garscube Estate, Switchback Road, Glasgow G61 1BD, UK.
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13
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Multiscale modeling of layer formation in epidermis. PLoS Comput Biol 2018; 14:e1006006. [PMID: 29481568 PMCID: PMC5843350 DOI: 10.1371/journal.pcbi.1006006] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2017] [Revised: 03/08/2018] [Accepted: 01/27/2018] [Indexed: 01/25/2023] Open
Abstract
The mammalian skin epidermis is a stratified epithelium composed of multiple layers of epithelial cells that exist in appropriate sizes and proportions, and with distinct boundaries separating each other. How the epidermis develops from a single layer of committed precursor cells to form a complex multilayered structure of multiple cell types remains elusive. Here, we construct stochastic, three-dimensional, and multiscale models consisting of a lineage of multiple cell types to study the control of epidermal development. Symmetric and asymmetric cell divisions, stochastic cell fate transitions within the lineage, extracellular morphogens, cell-to-cell adhesion forces, and cell signaling are included in model. A GPU algorithm was developed and implemented to accelerate the simulations. These simulations show that a balance between cell proliferation and differentiation during lineage progression is crucial for the development and maintenance of the epidermal tissue. We also find that selective intercellular adhesion is critical to sharpening the boundary between layers and to the formation of a highly ordered structure. The long-range action of a morphogen provides additional feedback regulations, enhancing the robustness of overall layer formation. Our model is built upon previous experimental findings revealing the role of Ovol transcription factors in regulating epidermal development. Direct comparisons of experimental and simulation perturbations show remarkable consistency. Taken together, our results highlight the major determinants of a well-stratified epidermis: balanced proliferation and differentiation, and a combination of both short- (symmetric/asymmetric division and selective cell adhesion) and long-range (morphogen) regulations. These underlying principles have broad implications for other developmental or regenerative processes leading to the formation of multilayered tissue structures, as well as for pathological processes such as epidermal wound healing. Epidermal morphogenesis, which occurs during the second half of embryogenesis, is the developmental process that generates a skin permeability barrier essential for terrestrial survival. Defects with this barrier are associated with common skin disorders such as atopic dermatitis. Study of mechanisms that control epidermal development and differentiation is therefore highly relevant to human health. Motivated by recent experimental observations on the role of Ovol transcription factors in regulating epidermal development, we developed a multiscale model to investigate the underlying mechanisms responsible for epidermal layer formation and homeostasis. We report that regulation of proliferation and differentiation by Ovol plays an important role in epidermal development. In addition, our computational analysis shows that asymmetric cell division, selective cell adhesion, and morphogen regulation work in a synergetic manner to produce the well-stratified epidermal layers. Taken together, our results demonstrate that robust epidermal morphogenesis involves a balance between proliferation and differentiation, and an interplay between short- and long-range spatial control mechanisms. This principle may also be applicable to other complex systems of tissue development or regeneration.
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14
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Patterson AM, Watson AJM. Deciphering the Complex Signaling Systems That Regulate Intestinal Epithelial Cell Death Processes and Shedding. Front Immunol 2017; 8:841. [PMID: 28769935 PMCID: PMC5513916 DOI: 10.3389/fimmu.2017.00841] [Citation(s) in RCA: 30] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2017] [Accepted: 07/04/2017] [Indexed: 01/16/2023] Open
Abstract
Intestinal epithelial cells play a fundamental role in maintaining homeostasis. Shedding of intestinal cells in a controlled manner is critical to maintenance of barrier function. Barrier function is maintained during this shedding process by a redistribution of tight junctional proteins to facilitate closure of the gap left by the shedding cell. However, despite the obvious importance of epithelial cell shedding to gut health, a central question is how the extrusion of epithelial cells is achieved, enabling barrier integrity to be maintained in the healthy gut and restored during inflammation remains largely unanswered. Recent studies have provided evidence that excessive epithelial cell shedding and loss of epithelial barrier integrity is triggered by exposure to lipopolysaccharide or tumor necrosis factor alpha. Subsequent studies have provided evidence of the involvement of specific cellular components and signaling mechanisms as well as the functionality of microbiota that can be either detrimental or beneficial for intestinal barrier integrity. This review will focus on the evidence and decipher how the signaling systems through which the mucosal immune system and microbiota can regulate epithelial cell shedding and how these mechanisms interact to preserve the viability of the epithelium.
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Affiliation(s)
- Angela M Patterson
- Quadram Institute, Norwich Research Park, Norwich, United Kingdom.,Norwich Medical School, University of East Anglia, Norwich, United Kingdom
| | - Alastair J M Watson
- Quadram Institute, Norwich Research Park, Norwich, United Kingdom.,Norwich Medical School, University of East Anglia, Norwich, United Kingdom
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15
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Nematbakhsh A, Sun W, Brodskiy PA, Amiri A, Narciso C, Xu Z, Zartman JJ, Alber M. Multi-scale computational study of the mechanical regulation of cell mitotic rounding in epithelia. PLoS Comput Biol 2017; 13:e1005533. [PMID: 28531187 PMCID: PMC5460904 DOI: 10.1371/journal.pcbi.1005533] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/14/2016] [Revised: 06/06/2017] [Accepted: 04/24/2017] [Indexed: 12/20/2022] Open
Abstract
Mitotic rounding during cell division is critical for preventing daughter cells from inheriting an abnormal number of chromosomes, a condition that occurs frequently in cancer cells. Cells must significantly expand their apical area and transition from a polygonal to circular apical shape to achieve robust mitotic rounding in epithelial tissues, which is where most cancers initiate. However, how cells mechanically regulate robust mitotic rounding within packed tissues is unknown. Here, we analyze mitotic rounding using a newly developed multi-scale subcellular element computational model that is calibrated using experimental data. Novel biologically relevant features of the model include separate representations of the sub-cellular components including the apical membrane and cytoplasm of the cell at the tissue scale level as well as detailed description of cell properties during mitotic rounding. Regression analysis of predictive model simulation results reveals the relative contributions of osmotic pressure, cell-cell adhesion and cortical stiffness to mitotic rounding. Mitotic area expansion is largely driven by regulation of cytoplasmic pressure. Surprisingly, mitotic shape roundness within physiological ranges is most sensitive to variation in cell-cell adhesivity and stiffness. An understanding of how perturbed mechanical properties impact mitotic rounding has important potential implications on, amongst others, how tumors progressively become more genetically unstable due to increased chromosomal aneuploidy and more aggressive.
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Affiliation(s)
- Ali Nematbakhsh
- Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana, United States of America
- Department of Mathematics, University of California, Riverside, California, United States of America
| | - Wenzhao Sun
- Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Pavel A. Brodskiy
- Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Aboutaleb Amiri
- Department of Physics, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Cody Narciso
- Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Zhiliang Xu
- Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Jeremiah J. Zartman
- Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana, United States of America
| | - Mark Alber
- Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana, United States of America
- Department of Mathematics, University of California, Riverside, California, United States of America
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16
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Wang Q, Holmes WR, Sosnik J, Schilling T, Nie Q. Cell Sorting and Noise-Induced Cell Plasticity Coordinate to Sharpen Boundaries between Gene Expression Domains. PLoS Comput Biol 2017; 13:e1005307. [PMID: 28135279 PMCID: PMC5279720 DOI: 10.1371/journal.pcbi.1005307] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2016] [Accepted: 12/09/2016] [Indexed: 12/13/2022] Open
Abstract
A fundamental question in biology is how sharp boundaries of gene expression form precisely in spite of biological variation/noise. Numerous mechanisms position gene expression domains across fields of cells (e.g. morphogens), but how these domains are refined remains unclear. In some cases, domain boundaries sharpen through differential adhesion-mediated cell sorting. However, boundaries can also sharpen through cellular plasticity, with cell fate changes driven by up- or down-regulation of gene expression. In this context, we have argued that noise in gene expression can help cells transition to the correct fate. Here we investigate the efficacy of cell sorting, gene expression plasticity, and their combination in boundary sharpening using multi-scale, stochastic models. We focus on the formation of hindbrain segments (rhombomeres) in the developing zebrafish as an example, but the mechanisms investigated apply broadly to many tissues. Our results indicate that neither sorting nor plasticity is sufficient on its own to sharpen transition regions between different rhombomeres. Rather the two have complementary strengths and weaknesses, which synergize when combined to sharpen gene expression boundaries. In many developing systems, chemical gradients control the formation of segmental domains of gene expression, specifying distinct domains that go on to form different tissues and structures, in a concentration-dependent manner. These gradients are noisy however, raising the question of how sharply delineated boundaries between distinct segments form. It is crucial that developing systems be able to cope with stochasticity and generate well-defined boundaries between different segmented domains. Previous work suggests that cell sorting and cellular plasticity help sharpen boundaries between segments. However, it remains unclear how effective each of these mechanisms is and what their role in sharpening may be. Motivated by recent experimental observations, we construct a hybrid stochastic model to investigate these questions. We find that neither mechanism is sufficient on its own to sharpen boundaries between different segments. Rather, results indicate each has its own strengths and weaknesses, and that they work together synergistically to promote the development of precise, well defined segment boundaries. Formation of segmented rhombomeres in the zebrafish hindbrain, which later form different components of the central nervous system, is a motivating case for this study.
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Affiliation(s)
- Qixuan Wang
- Center for Complex Biological Systems, University of California Irvine, Irvine, CA, United States of America
- Department of Mathematics, University of California Irvine, Irvine, CA, United States of America
| | - William R. Holmes
- Department of Physics and Astronomy, Vanderbilt University, Nashville, TN, United States of America
| | - Julian Sosnik
- Center for Complex Biological Systems, University of California Irvine, Irvine, CA, United States of America
- Department of Developmental and Cell Biology, University of California Irvine, Irvine, CA, United States of America
| | - Thomas Schilling
- Center for Complex Biological Systems, University of California Irvine, Irvine, CA, United States of America
- Department of Developmental and Cell Biology, University of California Irvine, Irvine, CA, United States of America
| | - Qing Nie
- Center for Complex Biological Systems, University of California Irvine, Irvine, CA, United States of America
- Department of Mathematics, University of California Irvine, Irvine, CA, United States of America
- * E-mail:
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17
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Shahriyari L, Komarova NL, Jilkine A. The role of cell location and spatial gradients in the evolutionary dynamics of colon and intestinal crypts. Biol Direct 2016; 11:42. [PMID: 27549762 PMCID: PMC4994304 DOI: 10.1186/s13062-016-0141-6] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2016] [Accepted: 07/15/2016] [Indexed: 12/22/2022] Open
Abstract
BACKGROUND Colon and intestinal crypts serve as an important model system for adult stem cell proliferation and differentiation. We develop a spatial stochastic model to study the rate of somatic evolution in a normal crypt, focusing on the production of two-hit mutants that inactivate a tumor suppressor gene. We investigate the effect of cell division pattern along the crypt on mutant production, assuming that the division rate of each cell depends on its location. RESULTS We find that higher probability of division at the bottom of the crypt, where the stem cells are located, leads to a higher rate of double-hit mutant production. The optimal case for delaying mutations occurs when most of the cell divisions happen at the top of the crypt. We further consider an optimization problem where the "evolutionary" penalty for double-hit mutant generation is complemented with a "functional" penalty that assures that fully differentiated cells at the top of the crypt cannot divide. CONCLUSION The trade-off between the two types of objectives leads to the selection of an intermediate division pattern, where the cells in the middle of the crypt divide with the highest rate. This matches the pattern of cell divisions obtained experimentally in murine crypts. REVIEWERS This article was reviewed by David Axelrod (nominated by an Editorial Board member, Marek Kimmel), Yang Kuang and Anna Marciniak-Czochra. For the full reviews, please go to the Reviewers' comments section.
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Affiliation(s)
- Leili Shahriyari
- Mathematical Biosciences Institute, The Ohio State University, 1735 Neil Ave, Columbus, 43210, USA
| | - Natalia L Komarova
- Department of Mathematics, University of California Irvine, 340 Rowland Hall, Irvine, 92697, USA.
| | - Alexandra Jilkine
- Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, 153 Hurley Hall, Notre Dame, 46556, USA.
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18
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Ratanasirintrawoot S, Israsena N. Stem Cells in the Intestine: Possible Roles in Pathogenesis of Irritable Bowel Syndrome. J Neurogastroenterol Motil 2016; 22:367-82. [PMID: 27184041 PMCID: PMC4930294 DOI: 10.5056/jnm16023] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/04/2016] [Accepted: 03/08/2016] [Indexed: 12/13/2022] Open
Abstract
Irritable bowel syndrome is one of the most common functional gastrointestinal (GI) disorders that significantly impair quality of life in patients. Current available treatments are still not effective and the pathophysiology of this condition remains unclearly defined. Recently, research on intestinal stem cells has greatly advanced our understanding of various GI disorders. Alterations in conserved stem cell regulatory pathways such as Notch, Wnt, and bone morphogenic protein/TGF-β have been well documented in diseases such as inflammatory bowel diseases and cancer. Interaction between intestinal stem cells and various signals from their environment is important for the control of stem cell self-renewal, regulation of number and function of specific intestinal cell types, and maintenance of the mucosal barrier. Besides their roles in stem cell regulation, these signals are also known to have potent effects on immune cells, enteric nervous system and secretory cells in the gut, and may be responsible for various aspects of pathogenesis of functional GI disorders, including visceral hypersensitivity, altered gut motility and low grade gut inflammation. In this article, we briefly summarize the components of these signaling pathways, how they can be modified by extrinsic factors and novel treatments, and provide evidenced support of their roles in the inflammation processes. Furthermore, we propose how changes in these signals may contribute to the symptom development and pathogenesis of irritable bowel syndrome.
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Affiliation(s)
- Sutheera Ratanasirintrawoot
- Stem Cell and Cell Therapy Research Unit, Chulalongkorn University, Bangkok, Thailand.,Department of Research Affairs, Faculty of Medicine, Chulalongkorn University, Bangkok, Thailand
| | - Nipan Israsena
- Stem Cell and Cell Therapy Research Unit, Chulalongkorn University, Bangkok, Thailand.,Department of Pharmacology, Faculty of Medicine, Chulalongkorn University, Bangkok, Thailand
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19
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Attayek PJ, Ahmad AA, Wang Y, Williamson I, Sims CE, Magness ST, Allbritton NL. In Vitro Polarization of Colonoids to Create an Intestinal Stem Cell Compartment. PLoS One 2016; 11:e0153795. [PMID: 27100890 PMCID: PMC4839657 DOI: 10.1371/journal.pone.0153795] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/18/2016] [Accepted: 04/04/2016] [Indexed: 12/22/2022] Open
Abstract
The polarity of proliferative and differentiated cellular compartments of colonic crypts is believed to be specified by gradients of key mitogens and morphogens. Indirect evidence demonstrates a tight correlation between Wnt- pathway activity and the basal-luminal patterning; however, to date there has been no direct experimental manipulation demonstrating that a chemical gradient of signaling factors can produce similar patterning under controlled conditions. In the current work, colonic organoids (colonoids) derived from cultured, multicellular organoid fragments or single stem cells were exposed in culture to steep linear gradients of two Wnt-signaling ligands, Wnt-3a and R-spondin1. The use of a genetically engineered Sox9-Sox9EGFP:CAGDsRED reporter gene mouse model and EdU-based labeling enabled crypt patterning to be quantified in the developing colonoids. Colonoids derived from multicellular fragments cultured for 5 days under a Wnt-3a or a combined Wnt-3a and R-spondin1 gradient were highly polarized with proliferative cells localizing to the region of the higher morphogen concentration. In a Wnt-3a gradient, Sox9EGFP polarization was 7.3 times greater than that of colonoids cultured in the absence of a gradient; and the extent of EdU polarization was 2.2 times greater than that in the absence of a gradient. Under a Wnt-3a/R-spondin1 gradient, Sox9EGFP polarization was 8.2 times greater than that of colonoids cultured in the absence of a gradient while the extent of EdU polarization was 10 times greater than that in the absence of a gradient. Colonoids derived from single stem cells cultured in Wnt-3a/R-spondin1 gradients were most highly polarized demonstrated by a Sox9EGFP polarization 20 times that of colonoids grown in the absence of a gradient. This data provides direct evidence that a linear gradient of Wnt signaling factors applied to colonic stem cells is sufficient to direct patterning of the colonoid unit in culture.
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Affiliation(s)
- Peter J. Attayek
- Department of Biomedical Engineering, University of North Carolina, Chapel Hill, NC 27599 and North Carolina State University, Raleigh, NC, 27695, United States of America
| | - Asad A. Ahmad
- Department of Biomedical Engineering, University of North Carolina, Chapel Hill, NC 27599 and North Carolina State University, Raleigh, NC, 27695, United States of America
| | - Yuli Wang
- Department of Chemistry, University of North Carolina, Chapel Hill, NC, 27599, United States of America
| | - Ian Williamson
- Department of Biomedical Engineering, University of North Carolina, Chapel Hill, NC 27599 and North Carolina State University, Raleigh, NC, 27695, United States of America
| | - Christopher E. Sims
- Department of Chemistry, University of North Carolina, Chapel Hill, NC, 27599, United States of America
| | - Scott T. Magness
- Department of Medicine, Division of Gastroenterology and Hepatology, University of North Carolina, Chapel Hill, NC, 27599, United States of America
| | - Nancy L. Allbritton
- Department of Biomedical Engineering, University of North Carolina, Chapel Hill, NC 27599 and North Carolina State University, Raleigh, NC, 27695, United States of America
- Department of Chemistry, University of North Carolina, Chapel Hill, NC, 27599, United States of America
- * E-mail:
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20
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Kunche S, Yan H, Calof AL, Lowengrub JS, Lander AD. Feedback, Lineages and Self-Organizing Morphogenesis. PLoS Comput Biol 2016; 12:e1004814. [PMID: 26989903 PMCID: PMC4798729 DOI: 10.1371/journal.pcbi.1004814] [Citation(s) in RCA: 28] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2015] [Accepted: 02/15/2016] [Indexed: 01/31/2023] Open
Abstract
Feedback regulation of cell lineage progression plays an important role in tissue size homeostasis, but whether such feedback also plays an important role in tissue morphogenesis has yet to be explored. Here we use mathematical modeling to show that a particular feedback architecture in which both positive and negative diffusible signals act on stem and/or progenitor cells leads to the appearance of bistable or bi-modal growth behaviors, ultrasensitivity to external growth cues, local growth-driven budding, self-sustaining elongation, and the triggering of self-organization in the form of lamellar fingers. Such behaviors arise not through regulation of cell cycle speeds, but through the control of stem or progenitor self-renewal. Even though the spatial patterns that arise in this setting are the result of interactions between diffusible factors with antagonistic effects, morphogenesis is not the consequence of Turing-type instabilities.
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Affiliation(s)
- Sameeran Kunche
- Department of Biomedical Engineering, University of California, Irvine, Irvine, California, United States of America
- Center for Complex Biological Systems, University of California, Irvine, Irvine, California, United States of America
| | - Huaming Yan
- Center for Complex Biological Systems, University of California, Irvine, Irvine, California, United States of America
- Department of Mathematics, University of California, Irvine, Irvine, California, United States of America
| | - Anne L. Calof
- Center for Complex Biological Systems, University of California, Irvine, Irvine, California, United States of America
- Department of Developmental and Cell Biology, University of California, Irvine, Irvine, California, United States of America
- Department of Anatomy and Neurobiology, University of California, Irvine, Irvine, California, United States of America
- * E-mail: (ALC); (JSL); (ADL)
| | - John S. Lowengrub
- Department of Biomedical Engineering, University of California, Irvine, Irvine, California, United States of America
- Center for Complex Biological Systems, University of California, Irvine, Irvine, California, United States of America
- Department of Mathematics, University of California, Irvine, Irvine, California, United States of America
- * E-mail: (ALC); (JSL); (ADL)
| | - Arthur D. Lander
- Department of Biomedical Engineering, University of California, Irvine, Irvine, California, United States of America
- Center for Complex Biological Systems, University of California, Irvine, Irvine, California, United States of America
- Department of Developmental and Cell Biology, University of California, Irvine, Irvine, California, United States of America
- * E-mail: (ALC); (JSL); (ADL)
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