A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.

We analyzed a quantitative multiscale model that describes the epigenetic dynamics during the growth and evolution of an avascular tumor. A gene regulatory network (GRN) formed by a set of ten genes that are believed to play an important role in breast cancer development was kinetically coupled to t...

Full description

Bibliographic Details
Main Authors: J Roberto Romero-Arias, Carlos A González-Castro, Guillermo Ramírez-Santiago
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-11-01
Series:PLoS Computational Biology
Online Access:https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011673&type=printable
_version_ 1797377749415886848
author J Roberto Romero-Arias
Carlos A González-Castro
Guillermo Ramírez-Santiago
author_facet J Roberto Romero-Arias
Carlos A González-Castro
Guillermo Ramírez-Santiago
author_sort J Roberto Romero-Arias
collection DOAJ
description We analyzed a quantitative multiscale model that describes the epigenetic dynamics during the growth and evolution of an avascular tumor. A gene regulatory network (GRN) formed by a set of ten genes that are believed to play an important role in breast cancer development was kinetically coupled to the microenvironmental agents: glucose, estrogens, and oxygen. The dynamics of spontaneous mutations was described by a Yule-Furry master equation whose solution represents the probability that a given cell in the tissue undergoes a certain number of mutations at a given time. We assumed that the mutation rate is modified by a spatial gradient of nutrients. The tumor mass was simulated by means of cellular automata supplemented with a set of reaction diffusion equations that described the transport of microenvironmental agents. By analyzing the epigenetic state space described by the GRN dynamics, we found three attractors that were identified with cellular epigenetic states: normal, precancer and cancer. For two-dimensional (2D) and three-dimensional (3D) tumors we calculated the spatial distribution of the following quantities: (i) number of mutations, (ii) mutation of each gene and, (iii) phenotypes. Using estrogen as the principal microenvironmental agent that regulates cell proliferation process, we obtained tumor shapes for different values of estrogen consumption and supply rates. It was found that he majority of mutations occurred in cells that were located close to the 2D tumor perimeter or close to the 3D tumor surface. Also, it was found that the occurrence of different phenotypes in the tumor are controlled by estrogen concentration levels since they can change the individual cell threshold and gene expression levels. All results were consistently observed for 2D and 3D tumors.
first_indexed 2024-03-08T19:57:57Z
format Article
id doaj.art-3dd7d5ccc1e345cebcbf3c8b82ba1b55
institution Directory Open Access Journal
issn 1553-734X
1553-7358
language English
last_indexed 2024-03-08T19:57:57Z
publishDate 2023-11-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS Computational Biology
spelling doaj.art-3dd7d5ccc1e345cebcbf3c8b82ba1b552023-12-24T05:31:43ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582023-11-011911e101167310.1371/journal.pcbi.1011673A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.J Roberto Romero-AriasCarlos A González-CastroGuillermo Ramírez-SantiagoWe analyzed a quantitative multiscale model that describes the epigenetic dynamics during the growth and evolution of an avascular tumor. A gene regulatory network (GRN) formed by a set of ten genes that are believed to play an important role in breast cancer development was kinetically coupled to the microenvironmental agents: glucose, estrogens, and oxygen. The dynamics of spontaneous mutations was described by a Yule-Furry master equation whose solution represents the probability that a given cell in the tissue undergoes a certain number of mutations at a given time. We assumed that the mutation rate is modified by a spatial gradient of nutrients. The tumor mass was simulated by means of cellular automata supplemented with a set of reaction diffusion equations that described the transport of microenvironmental agents. By analyzing the epigenetic state space described by the GRN dynamics, we found three attractors that were identified with cellular epigenetic states: normal, precancer and cancer. For two-dimensional (2D) and three-dimensional (3D) tumors we calculated the spatial distribution of the following quantities: (i) number of mutations, (ii) mutation of each gene and, (iii) phenotypes. Using estrogen as the principal microenvironmental agent that regulates cell proliferation process, we obtained tumor shapes for different values of estrogen consumption and supply rates. It was found that he majority of mutations occurred in cells that were located close to the 2D tumor perimeter or close to the 3D tumor surface. Also, it was found that the occurrence of different phenotypes in the tumor are controlled by estrogen concentration levels since they can change the individual cell threshold and gene expression levels. All results were consistently observed for 2D and 3D tumors.https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011673&type=printable
spellingShingle J Roberto Romero-Arias
Carlos A González-Castro
Guillermo Ramírez-Santiago
A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
PLoS Computational Biology
title A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
title_full A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
title_fullStr A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
title_full_unstemmed A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
title_short A multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development.
title_sort multiscale model of the role of microenvironmental factors in cell segregation and heterogeneity in breast cancer development
url https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1011673&type=printable
work_keys_str_mv AT jrobertoromeroarias amultiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment
AT carlosagonzalezcastro amultiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment
AT guillermoramirezsantiago amultiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment
AT jrobertoromeroarias multiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment
AT carlosagonzalezcastro multiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment
AT guillermoramirezsantiago multiscalemodeloftheroleofmicroenvironmentalfactorsincellsegregationandheterogeneityinbreastcancerdevelopment