1
|
Saucedo-Mora L, Sanz MÁ, Montáns FJ, Benítez JM. A simple agent-based hybrid model to simulate the biophysics of glioblastoma multiforme cells and the concomitant evolution of the oxygen field. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2024; 246:108046. [PMID: 38301393 DOI: 10.1016/j.cmpb.2024.108046] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/17/2023] [Revised: 01/19/2024] [Accepted: 01/21/2024] [Indexed: 02/03/2024]
Abstract
BACKGROUND AND OBJECTIVES Glioblastoma multiforme (GBM) is one of the most aggressive cancers of the central nervous system. It is characterized by a high mitotic activity and an infiltrative ability of the glioma cells, neovascularization and necrosis. GBM evolution entails the continuous interplay between heterogeneous cell populations, chemotaxis, and physical cues through different scales. In this work, an agent-based hybrid model is proposed to simulate the coupling of the multiscale biological events involved in the GBM invasion, specifically the individual and collective migration of GBM cells and the concurrent evolution of the oxygen field and phenotypic plasticity. An asset of the formulation is that it is conceptually and computationally simple but allows to reproduce the complexity and the progression of the GBM micro-environment at cell and tissue scales simultaneously. METHODS The migration is reproduced as the result of the interaction between every single cell and its micro-environment. The behavior of each individual cell is formulated through genotypic variables whereas the cell micro-environment is modeled in terms of the oxygen concentration and the cell density surrounding each cell. The collective behavior is formulated at a cellular scale through a flocking model. The phenotypic plasticity of the cells is induced by the micro-environment conditions, considering five phenotypes. RESULTS The model has been contrasted by benchmark problems and experimental tests showing the ability to reproduce different scenarios of glioma cell migration. In all cases, the individual and collective cell migration and the coupled evolution of both the oxygen field and phenotypic plasticity have been properly simulated. This simple formulation allows to mimic the formation of relevant hallmarks of glioblastoma multiforme, such as the necrotic cores, and to reproduce experimental evidences related to the mitotic activity in pseudopalisades. CONCLUSIONS In the collective migration, the survival of the clusters prevails at the expense of cell mitosis, regardless of the size of the groups, which delays the formation of necrotic foci and reduces the rate of oxygen consumption.
Collapse
Affiliation(s)
- Luis Saucedo-Mora
- E.T.S. de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain; Department of Materials, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK; Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, MA 02139, USA
| | - Miguel Ángel Sanz
- E.T.S. de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain
| | - Francisco Javier Montáns
- E.T.S. de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain; Department of Mechanical and Aerospace Engineering, Herbert Wertheim College of Engineering, University of Florida, FL 32611, USA
| | - José María Benítez
- E.T.S. de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain.
| |
Collapse
|
2
|
Crossley RM, Johnson S, Tsingos E, Bell Z, Berardi M, Botticelli M, Braat QJS, Metzcar J, Ruscone M, Yin Y, Shuttleworth R. Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist. Front Cell Dev Biol 2024; 12:1354132. [PMID: 38495620 PMCID: PMC10940354 DOI: 10.3389/fcell.2024.1354132] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/11/2023] [Accepted: 02/12/2024] [Indexed: 03/19/2024] Open
Abstract
The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a scaffold, providing structural support to cells as well as points of potential attachment. Although the ECM is a well-studied structure, its role in many biological processes remains difficult to investigate comprehensively due to its complexity and structural variation within an organism. In tandem with experiments, mathematical models are helpful in refining and testing hypotheses, generating predictions, and exploring conditions outside the scope of experiments. Such models can be combined and calibrated with in vivo and in vitro data to identify critical cell-ECM interactions that drive developmental and homeostatic processes, or the progression of diseases. In this review, we focus on mathematical and computational models of the ECM in processes such as cell migration including cancer metastasis, and in tissue structure and morphogenesis. By highlighting the predictive power of these models, we aim to help bridge the gap between experimental and computational approaches to studying the ECM and to provide guidance on selecting an appropriate model framework to complement corresponding experimental studies.
Collapse
Affiliation(s)
- Rebecca M. Crossley
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom
| | - Samuel Johnson
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom
| | - Erika Tsingos
- Computational Developmental Biology Group, Institute of Biodynamics and Biocomplexity, Utrecht University, Utrecht, Netherlands
| | - Zoe Bell
- Northern Institute for Cancer Research, Newcastle University, Newcastle upon Tyne, United Kingdom
| | - Massimiliano Berardi
- LaserLab, Department of Physics and Astronomy, Vrije Universiteit Amsterdam, Amsterdam, Netherlands
- Optics11 life, Amsterdam, Netherlands
| | | | - Quirine J. S. Braat
- Department of Applied Physics and Science Education, Eindhoven University of Technology, Eindhoven, Netherlands
| | - John Metzcar
- Department of Intelligent Systems Engineering, Indiana University, Bloomington, IN, United States
- Department of Informatics, Indiana University, Bloomington, IN, United States
| | | | - Yuan Yin
- Wolfson Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, United Kingdom
| | | |
Collapse
|
3
|
Mei Y, Feng X, Jin Y, Kang R, Wang X, Zhao D, Ghosh S, Neu CP, Avril S. Cell nucleus elastography with the adjoint-based inverse solver. COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2023; 242:107827. [PMID: 37801883 DOI: 10.1016/j.cmpb.2023.107827] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/13/2023] [Revised: 09/09/2023] [Accepted: 09/22/2023] [Indexed: 10/08/2023]
Abstract
BACKGROUND AND OBJECTIVES The mechanics of the nucleus depends on cellular structures and architecture, and impact a number of diseases. Nuclear mechanics is yet rather complex due to heterogeneous distribution of dense heterochromatin and loose euchromatin domains, giving rise to spatially variable stiffness properties. METHODS In this study, we propose to use the adjoint-based inverse solver to identify for the first time the nonhomogeneous elastic property distribution of the nucleus. Inputs of the inverse solver are deformation fields measured with microscopic imaging in contracting cardiomyocytes. RESULTS The feasibility of the proposed method is first demonstrated using simulated data. Results indicate accurate identification of the assumed heterochromatin region, with a maximum relative error of less than 5%. We also investigate the influence of unknown Poisson's ratio on the reconstruction and find that variations of the Poisson's ratio in the range [0.3-0.5] result in uncertainties of less than 15% in the identified stiffness. Finally, we apply the inverse solver on actual deformation fields acquired within the nuclei of two cardiomyocytes. The obtained results are in good agreement with the density maps obtained from microscopy images. CONCLUSIONS Overall, the proposed approach shows great potential for nuclear elastography, with promising value for emerging fields of mechanobiology and mechanogenetics.
Collapse
Affiliation(s)
- Yue Mei
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China; Ningbo Institute of Dalian University of Technology, No. 26 Yucai Road, Jiangbei District, Ningbo 315016, China
| | - Xuan Feng
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China
| | - Yun Jin
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China
| | - Rongyao Kang
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China
| | - XinYu Wang
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China
| | - Dongmei Zhao
- State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, China; International Research Center for Computational Mechanics, Dalian University of Technology, Dalian 116023, China
| | - Soham Ghosh
- Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States of America
| | - Corey P Neu
- Paul M. Rady Department of Mechanical Engineering, University of Colorado Boulder, Boulder, CO, United States of America; Biomedical Engineering Program, University of Colorado Boulder, Boulder, CO, United States of America; BioFrontiers Institute, University of Colorado Boulder, Boulder, CO, United States of America
| | - Stephane Avril
- Mines Saint-Étienne, Univ Jean Monnet, INSERM, U 1059 Sainbiose, F - 42023, Saint-Étienne, France.
| |
Collapse
|
4
|
Xiao P, Zhang Y, Zeng Y, Yang D, Mo J, Zheng Z, Wang J, Zhang Y, Zhou Z, Zhong X, Yan W. Impaired angiogenesis in ageing: the central role of the extracellular matrix. J Transl Med 2023; 21:457. [PMID: 37434156 PMCID: PMC10334673 DOI: 10.1186/s12967-023-04315-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/22/2023] [Accepted: 06/30/2023] [Indexed: 07/13/2023] Open
Abstract
Each step in angiogenesis is regulated by the extracellular matrix (ECM). Accumulating evidence indicates that ageing-related changes in the ECM driven by cellular senescence lead to a reduction in neovascularisation, reduced microvascular density, and an increased risk of tissue ischaemic injury. These changes can lead to health events that have major negative impacts on quality of life and place a significant financial burden on the healthcare system. Elucidating interactions between the ECM and cells during angiogenesis in the context of ageing is neceary to clarify the mechanisms underlying reduced angiogenesis in older adults. In this review, we summarize ageing-related changes in the composition, structure, and function of the ECM and their relevance for angiogenesis. Then, we explore in detail the mechanisms of interaction between the aged ECM and cells during impaired angiogenesis in the older population for the first time, discussing diseases caused by restricted angiogenesis. We also outline several novel pro-angiogenic therapeutic strategies targeting the ECM that can provide new insights into the choice of appropriate treatments for a variety of age-related diseases. Based on the knowledge gathered from recent reports and journal articles, we provide a better understanding of the mechanisms underlying impaired angiogenesis with age and contribute to the development of effective treatments that will enhance quality of life.
Collapse
Affiliation(s)
- Ping Xiao
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Yanli Zhang
- Stomatological Hospital, Southern Medical University, Guangzhou, 510280, China
| | - Yuting Zeng
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Dehong Yang
- Department of Orthopedics Spinal Surgery, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Jiayao Mo
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Ziting Zheng
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Jilei Wang
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Yuxin Zhang
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Zhiyan Zhou
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Xincen Zhong
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China
| | - Wenjuan Yan
- Department of Stomatology, Nanfang Hospital, Southern Medical University, Guangzhou, 510515, China.
| |
Collapse
|