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Fotinós J, Barberis L, Condat CA. Effects of a differentiating therapy on cancer-stem-cell-driven tumors. J Theor Biol 2023; 572:111563. [PMID: 37391126 DOI: 10.1016/j.jtbi.2023.111563] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2023] [Revised: 05/22/2023] [Accepted: 06/18/2023] [Indexed: 07/02/2023]
Abstract
The growth of many solid tumors has been found to be driven by chemo- and radiotherapy-resistant cancer stem cells (CSCs). A suitable therapeutic avenue in these cases may involve the use of a differentiating agent (DA) to force the differentiation of the CSCs and of conventional therapies to eliminate the remaining differentiated cancer cells (DCCs). To describe the effects of a DA that reprograms CSCs into DCCs, we adapt a differential equation model developed to investigate tumorspheres, which are assumed to consist of jointly evolving CSC and DCC populations. We analyze the mathematical properties of the model, finding the equilibria and their stability. We also present numerical solutions and phase diagrams to describe the system evolution and the therapy effects, denoting the DA strength by a parameter adif. To obtain realistic predictions, we choose the other model parameters to be those determined previously from fits to various experimental datasets. These datasets characterize the progression of the tumor under various culture conditions. Typically, for small values of adif the tumor evolves towards a final state that contains a CSC fraction, but a strong therapy leads to the suppression of this phenotype. Nonetheless, different external conditions lead to very diverse behaviors. For microchamber-grown tumorspheres, there is a threshold in therapy strength below which both subpopulations survive, while high values of adif lead to the complete elimination of the CSC phenotype. For tumorspheres grown on hard and soft agar and in the presence of growth factors, the model predicts a threshold not only in the therapy strength, but also in its starting time, an early beginning being potentially crucial. In summary, our model shows how the effects of a DA depend critically not only on the dosage and timing of the drug application, but also on the tumor nature and its environment.
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Affiliation(s)
- J Fotinós
- Instituto de Física Enrique Gaviola, CONICET, 5000, Córdoba, Argentina; FaMAF, Universidad Nacional de Córdoba, Bvd. Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, Argentina.
| | - L Barberis
- Instituto de Física Enrique Gaviola, CONICET, 5000, Córdoba, Argentina; FaMAF, Universidad Nacional de Córdoba, Bvd. Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, Argentina
| | - C A Condat
- Instituto de Física Enrique Gaviola, CONICET, 5000, Córdoba, Argentina; FaMAF, Universidad Nacional de Córdoba, Bvd. Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, Argentina
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2
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Miotto M, Rosito M, Paoluzzi M, de Turris V, Folli V, Leonetti M, Ruocco G, Rosa A, Gosti G. Collective behavior and self-organization in neural rosette morphogenesis. Front Cell Dev Biol 2023; 11:1134091. [PMID: 37635866 PMCID: PMC10448396 DOI: 10.3389/fcell.2023.1134091] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/29/2022] [Accepted: 07/26/2023] [Indexed: 08/29/2023] Open
Abstract
Neural rosettes develop from the self-organization of differentiating human pluripotent stem cells. This process mimics the emergence of the embryonic central nervous system primordium, i.e., the neural tube, whose formation is under close investigation as errors during such process result in severe diseases like spina bifida and anencephaly. While neural tube formation is recognized as an example of self-organization, we still do not understand the fundamental mechanisms guiding the process. Here, we discuss the different theoretical frameworks that have been proposed to explain self-organization in morphogenesis. We show that an explanation based exclusively on stem cell differentiation cannot describe the emergence of spatial organization, and an explanation based on patterning models cannot explain how different groups of cells can collectively migrate and produce the mechanical transformations required to generate the neural tube. We conclude that neural rosette development is a relevant experimental 2D in-vitro model of morphogenesis because it is a multi-scale self-organization process that involves both cell differentiation and tissue development. Ultimately, to understand rosette formation, we first need to fully understand the complex interplay between growth, migration, cytoarchitecture organization, and cell type evolution.
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Affiliation(s)
- Mattia Miotto
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- Department of Physics, Sapienza University of Rome, Rome, Italy
| | - Maria Rosito
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- Department of Physiology and Pharmacology V. Erspamer, Sapienza University of Rome, Rome, Italy
| | - Matteo Paoluzzi
- Departament de Física de la Matèria Condensada, Universitat de Barcelona, Barcelona, Spain
| | - Valeria de Turris
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
| | - Viola Folli
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- D-TAILS srl, Rome, Italy
| | - Marco Leonetti
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- D-TAILS srl, Rome, Italy
- Soft and Living Matter Laboratory, Institute of Nanotechnology, Consiglio Nazionale delle Ricerche, Rome, Italy
| | - Giancarlo Ruocco
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- Department of Physics, Sapienza University of Rome, Rome, Italy
| | - Alessandro Rosa
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- Department of Biology and Biotechnologies Charles Darwin, Sapienza University of Rome, Rome, Italy
| | - Giorgio Gosti
- Center for Life Nano and Neuro Science, Istituto Italiano di Tecnologia, Rome, Italy
- Soft and Living Matter Laboratory, Institute of Nanotechnology, Consiglio Nazionale delle Ricerche, Rome, Italy
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3
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Perez-Carrasco R, Beentjes C, Grima R. Effects of cell cycle variability on lineage and population measurements of messenger RNA abundance. J R Soc Interface 2020; 17:20200360. [PMID: 32634365 PMCID: PMC7423421 DOI: 10.1098/rsif.2020.0360] [Citation(s) in RCA: 32] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2020] [Accepted: 06/17/2020] [Indexed: 12/17/2022] Open
Abstract
Many models of gene expression do not explicitly incorporate a cell cycle description. Here, we derive a theory describing how messenger RNA (mRNA) fluctuations for constitutive and bursty gene expression are influenced by stochasticity in the duration of the cell cycle and the timing of DNA replication. Analytical expressions for the moments show that omitting cell cycle duration introduces an error in the predicted mean number of mRNAs that is a monotonically decreasing function of η, which is proportional to the ratio of the mean cell cycle duration and the mRNA lifetime. By contrast, the error in the variance of the mRNA distribution is highest for intermediate values of η consistent with genome-wide measurements in many organisms. Using eukaryotic cell data, we estimate the errors in the mean and variance to be at most 3% and 25%, respectively. Furthermore, we derive an accurate negative binomial mixture approximation to the mRNA distribution. This indicates that stochasticity in the cell cycle can introduce fluctuations in mRNA numbers that are similar to the effect of bursty transcription. Finally, we show that for real experimental data, disregarding cell cycle stochasticity can introduce errors in the inference of transcription rates larger than 10%.
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Affiliation(s)
- Ruben Perez-Carrasco
- Department of Mathematics, University College London, London, UK
- Department of Life Sciences, Imperial College London, London, UK
| | | | - Ramon Grima
- School of Biological Sciences, University of Edinburgh, Edinburgh, UK
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4
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Rastegari E, Kajal K, Tan BS, Huang F, Chen RH, Hsieh TS, Hsu HJ. WD40 protein Wuho controls germline homeostasis via TRIM-NHL tumor suppressor Mei-p26 in Drosophila. Development 2020; 147:147/2/dev182063. [PMID: 31941704 DOI: 10.1242/dev.182063] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2019] [Accepted: 12/03/2019] [Indexed: 12/22/2022]
Abstract
WD40 proteins control many cellular processes via protein interactions. Drosophila Wuho (Wh, a WD40 protein) controls fertility, although the involved mechanisms are unclear. Here, we show that Wh promotion of Mei-p26 (a human TRIM32 ortholog) function maintains ovarian germ cell homeostasis. Wh and Mei-p26 are epistatically linked, with wh and mei-p26 mutants showing nearly identical phenotypes, including germline stem cell (GSC) loss, stem-cyst formation due to incomplete cytokinesis between GSCs and daughter cells, and overproliferation of GSC progeny. Mechanistically, Wh interacts with Mei-p26 in different cellular contexts to induce cell type-specific effects. In GSCs, Wh and Mei-p26 promote BMP stemness signaling for proper GSC division and maintenance. In GSC progeny, Wh and Mei-p26 silence nanos translation, downregulate a subset of microRNAs involved in germ cell differentiation and suppress ribosomal biogenesis via dMyc to limit germ cell mitosis. We also found that the human ortholog of Wh (WDR4) interacts with TRIM32 in human cells. Our results show that Wh is a regulator of Mei-p26 in Drosophila germ cells and suggest that the WD40-TRIM interaction may also control tissue homeostasis in other stem cell systems.
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Affiliation(s)
- Elham Rastegari
- Molecular and Cell Biology, Taiwan International Graduate Program, Academia Sinica, Taipei 11529, Taiwan, R.O.C.,Graduate Institute of Life Science, National Defense Medical Center, Taipei 11490, Taiwan, R.O.C.,Institute of Cellular and Organismic Biology, Sinica, Taipei 11529, Taiwan, R.O.C
| | - Kreeti Kajal
- Institute of Cellular and Organismic Biology, Sinica, Taipei 11529, Taiwan, R.O.C.,Molecular and Biological Agricultural Sciences Program, Taiwan International Graduate Program, National Chung Hsing University and Academia Sinica, Taipei 11529, Taiwan, R.O.C.,Graduate Institute of Biotechnology, National Chung Hsing University, Taichung 40227, Taiwan, R.O.C
| | - Boon-Shing Tan
- Institute of Biological Chemistry, Sinica, Taipei 11529, Taiwan, R.O.C
| | - Fu Huang
- Institute of Biological Chemistry, Sinica, Taipei 11529, Taiwan, R.O.C
| | - Ruey-Hwa Chen
- Institute of Biological Chemistry, Sinica, Taipei 11529, Taiwan, R.O.C
| | - Tao-Shieh Hsieh
- Molecular and Cell Biology, Taiwan International Graduate Program, Academia Sinica, Taipei 11529, Taiwan, R.O.C.,Graduate Institute of Life Science, National Defense Medical Center, Taipei 11490, Taiwan, R.O.C.,Institute of Cellular and Organismic Biology, Sinica, Taipei 11529, Taiwan, R.O.C
| | - Hwei-Jan Hsu
- Molecular and Cell Biology, Taiwan International Graduate Program, Academia Sinica, Taipei 11529, Taiwan, R.O.C .,Graduate Institute of Life Science, National Defense Medical Center, Taipei 11490, Taiwan, R.O.C.,Institute of Cellular and Organismic Biology, Sinica, Taipei 11529, Taiwan, R.O.C.,Molecular and Biological Agricultural Sciences Program, Taiwan International Graduate Program, National Chung Hsing University and Academia Sinica, Taipei 11529, Taiwan, R.O.C.,Graduate Institute of Biotechnology, National Chung Hsing University, Taichung 40227, Taiwan, R.O.C
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5
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Statistics of noisy growth with mechanical feedback in elastic tissues. Proc Natl Acad Sci U S A 2019; 116:5350-5355. [PMID: 30819899 DOI: 10.1073/pnas.1816100116] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Abstract
Tissue growth is a fundamental aspect of development and is intrinsically noisy. Stochasticity has important implications for morphogenesis, precise control of organ size, and regulation of tissue composition and heterogeneity. However, the basic statistical properties of growing tissues, particularly when growth induces mechanical stresses that can in turn affect growth rates, have received little attention. Here, we study the noisy growth of elastic sheets subject to mechanical feedback. Considering both isotropic and anisotropic growth, we find that the density-density correlation function shows power law scaling. We also consider the dynamics of marked, neutral clones of cells. We find that the areas (but not the shapes) of two clones are always statistically independent, even when they are adjacent. For anisotropic growth, we show that clone size variance scales like the average area squared and that the mode amplitudes characterizing clone shape show a slow [Formula: see text] decay, where n is the mode index. This is in stark contrast to the isotropic case, where relative variations in clone size and shape vanish at long times. The high variability in clone statistics observed in anisotropic growth is due to the presence of two soft modes-growth modes that generate no stress. Our results lay the groundwork for more in-depth explorations of the properties of noisy tissue growth in specific biological contexts.
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6
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Du X, O'Brien LE, Riedel-Kruse IH. A Model for Adult Organ Resizing Demonstrates Stem Cell Scaling through a Tunable Commitment Rate. Biophys J 2017; 113:174-184. [PMID: 28700915 DOI: 10.1016/j.bpj.2017.05.040] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2017] [Revised: 05/19/2017] [Accepted: 05/19/2017] [Indexed: 01/09/2023] Open
Abstract
Many adult organs grow or shrink to accommodate different physiological demands. Often, as total cell number changes, stem cell number changes proportionally in a phenomenon called "stem cell scaling". The cellular behaviors that give rise to scaling are unknown. Here we study two complementary theoretical models of the adult Drosophila midgut, a stem cell-based organ with known resizing dynamics. First, we derive a differential equations model of midgut resizing and show that the in vivo kinetics of growth can be recapitulated if the rate of fate commitment depends on the tissue's stem cell proportion. Second, we develop a 2D simulation of the midgut and find that proportion-dependent commitment rate and stem cell scaling can arise phenomenologically from the stem cells' exploration of physical tissue space during its lifetime. Together, these models provide a biophysical understanding of how stem cell scaling is maintained during organ growth and shrinkage.
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Affiliation(s)
- XinXin Du
- Department of Molecular and Cellular Physiology, Stanford University, Stanford, California; Department of Bioengineering, Stanford University, Stanford, California
| | - Lucy Erin O'Brien
- Department of Molecular and Cellular Physiology, Stanford University, Stanford, California.
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7
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Yamaguchi H, Kawaguchi K, Sagawa T. Dynamical crossover in a stochastic model of cell fate decision. Phys Rev E 2017; 96:012401. [PMID: 29347197 DOI: 10.1103/physreve.96.012401] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2016] [Indexed: 05/27/2023]
Abstract
We study the asymptotic behaviors of stochastic cell fate decision between proliferation and differentiation. We propose a model of a self-replicating Langevin system, where cells choose their fate (i.e., proliferation or differentiation) depending on local cell density. Based on this model, we propose a scenario for multicellular organisms to maintain the density of cells (i.e., homeostasis) through finite-ranged cell-cell interactions. Furthermore, we numerically show that the distribution of the number of descendant cells changes over time, thus unifying the previously proposed two models regarding homeostasis: the critical birth death process and the voter model. Our results provide a general platform for the study of stochastic cell fate decision in terms of nonequilibrium statistical mechanics.
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Affiliation(s)
- Hiroki Yamaguchi
- Department of Applied Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
| | - Kyogo Kawaguchi
- Department of Systems Biology, Harvard Medical School, Boston, Massachusetts 02115, USA
- Universal Biology Institute, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - Takahiro Sagawa
- Department of Applied Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
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8
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Nguyen PD, Gurevich DB, Sonntag C, Hersey L, Alaei S, Nim HT, Siegel A, Hall TE, Rossello FJ, Boyd SE, Polo JM, Currie PD. Muscle Stem Cells Undergo Extensive Clonal Drift during Tissue Growth via Meox1-Mediated Induction of G2 Cell-Cycle Arrest. Cell Stem Cell 2017; 21:107-119.e6. [DOI: 10.1016/j.stem.2017.06.003] [Citation(s) in RCA: 50] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/26/2016] [Revised: 03/20/2017] [Accepted: 06/09/2017] [Indexed: 12/18/2022]
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9
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Yeh WT, Chen HY. Hydrodynamics of stratified epithelium: Steady state and linearized dynamics. Phys Rev E 2016; 93:052421. [PMID: 27300937 DOI: 10.1103/physreve.93.052421] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2016] [Indexed: 06/06/2023]
Abstract
A theoretical model for stratified epithelium is presented. The viscoelastic properties of the tissue are assumed to be dependent on the spatial distribution of proliferative and differentiated cells. Based on this assumption, a hydrodynamic description of tissue dynamics at the long-wavelength, long-time limit is developed, and the analysis reveals important insights into the dynamics of an epithelium close to its steady state. When the proliferative cells occupy a thin region close to the basal membrane, the relaxation rate towards the steady state is enhanced by cell division and cell apoptosis. On the other hand, when the region where proliferative cells reside becomes sufficiently thick, a flow induced by cell apoptosis close to the apical surface enhances small perturbations. This destabilizing mechanism is general for continuous self-renewal multilayered tissues; it could be related to the origin of certain tissue morphology, tumor growth, and the development pattern.
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Affiliation(s)
- Wei-Ting Yeh
- Department of Physics, National Central University, Jhongli 32001, Taiwan
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
| | - Hsuan-Yi Chen
- Department of Physics, National Central University, Jhongli 32001, Taiwan
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
- Physics Division, National Center for Theoretical Sciences, Hsinchu 30013, Taiwan
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10
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Hannezo E, Coucke A, Joanny JF. Interplay of migratory and division forces as a generic mechanism for stem cell patterns. Phys Rev E 2016; 93:022405. [PMID: 26986360 DOI: 10.1103/physreve.93.022405] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/09/2015] [Indexed: 06/05/2023]
Abstract
In many adult tissues, stem cells and differentiated cells are not homogeneously distributed: stem cells are arranged in periodic "niches," and differentiated cells are constantly produced and migrate out of these niches. In this article, we provide a general theoretical framework to study mixtures of dividing and actively migrating particles, which we apply to biological tissues. We show in particular that the interplay between the stresses arising from active cell migration and stem cell division give rise to robust stem cell patterns. The instability of the tissue leads to spatial patterns which are either steady or oscillating in time. The wavelength of the instability has an order of magnitude consistent with the biological observations. We also discuss the implications of these results for future in vitro and in vivo experiments.
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Affiliation(s)
- Edouard Hannezo
- Physicochimie Curie (Institut Curie/CNRS-UMR 168/UPMC), Institut Curie, Centre de Recherche, PSL Research University, 26 rue d'Ulm, 75248 Paris Cedex 05, France
- Cavendish Laboratory, 19 JJ Thompson Avenue, Cambridge CB3 0HE, United Kingdom
| | - Alice Coucke
- Physicochimie Curie (Institut Curie/CNRS-UMR 168/UPMC), Institut Curie, Centre de Recherche, PSL Research University, 26 rue d'Ulm, 75248 Paris Cedex 05, France
- Laboratoire de Physique Théorique, CNRS-UMR 8549, Ecole Normale Supérieure, 24 Rue Lhomond, 75005 Paris, France
- Biologie Computationnelle et Quantitative, CNRS-UMR 7238, Sorbonne Universités, UPMC Paris 06, France
| | - Jean-François Joanny
- Physicochimie Curie (Institut Curie/CNRS-UMR 168/UPMC), Institut Curie, Centre de Recherche, PSL Research University, 26 rue d'Ulm, 75248 Paris Cedex 05, France
- ESPCI Paris-Tech, 10 rue Vauquelin, 75005 Paris, France
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