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Hoehn RD, Schreder AM, Rez MFA, Kais S. An agent-based model approach to multi-phase life-cycle for contact inhibited, anchorage dependent cells. Interdiscip Sci 2014; 6:312-22. [PMID: 25519151 DOI: 10.1007/s12539-012-0236-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2012] [Revised: 09/16/2013] [Accepted: 12/17/2013] [Indexed: 12/01/2022]
Abstract
Cellular agent-based models are a technique that can be easily adapted to describe nuances of a particular cell type. Within we have concentrated on the cellular particularities of the human Endothelial Cell, explicitly the effects both of anchorage dependency and of heightened scaffold binding on the total confluence time of a system. By expansion of a discrete, homogeneous, asynchronous cellular model to account for several states per cell (phases within a cell's life); we accommodate and track dependencies of confluence time and population dynamics on these factors. Increasing the total motility time, analogous to weakening the binding between lattice and cell, affects the system in unique ways from increasing the average cellular velocity; each degree of freedom allows for control over the time length the system achieves logistic growth and confluence. These additional factors may allow for greater control over behaviors of the system. Examinations of system's dependence on both seed state velocity and binding are also enclosed.
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Affiliation(s)
- Ross D Hoehn
- Department of Chemistry, Purdue University, West Lafayette, IN, 47907, USA,
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Abstract
Cell migration is essential for many physiological and pathological processes that include embryonic development, the immune response, wound healing, angiogenesis, and cancer metastasis. It is also important for emerging tissue engineering applications such as tissue reconstitution and the colonization of biomedical implants. By summarizing results from recent experimental and theoretical studies, this review outlines the role played by growth factors or substrate-adhesion molecules in modulating cell motility and shows that cell motility can be an important factor in determining the rates of tissue formation. The application of cell motility assays and the use of theoretical models for analyzing cell migration and proliferation are also discussed.
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Affiliation(s)
- K Zygourakis
- Department of Chemical Engineering and Institute of Biosciences and Bioengineering, Rice University, Houston, Texas 77251-1892
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Chung CA, Lin TH, Chen SD, Huang HI. Hybrid cellular automaton modeling of nutrient modulated cell growth in tissue engineering constructs. J Theor Biol 2009; 262:267-78. [PMID: 19808041 DOI: 10.1016/j.jtbi.2009.09.031] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2009] [Revised: 09/25/2009] [Accepted: 09/25/2009] [Indexed: 11/26/2022]
Abstract
Mathematic models help interpret experimental results and accelerate tissue engineering developments. We develop in this paper a hybrid cellular automata model that combines the differential nutrient transport equation to investigate the nutrient limited cell construct development for cartilage tissue engineering. Individual cell behaviors of migration, contact inhibition and cell collision, coupled with the cell proliferation regulated by oxygen concentration were carefully studied. Simplified two-dimensional simulations were performed. Using this model, we investigated the influence of cell migration speed on the overall cell growth within in vitro cell scaffolds. It was found that intense cell motility can enhance initial cell growth rates. However, since cell growth is also significantly modulated by the nutrient contents, intense cell motility with conventional uniform cell seeding method may lead to declined cell growth in the final time because concentrated cell population has been growing around the scaffold periphery to block the nutrient transport from outside culture media. Therefore, homogeneous cell seeding may not be a good way of gaining large and uniform cell densities for the final results. We then compared cell growth in scaffolds with various seeding modes, and proposed a seeding mode with cells initially residing in the middle area of the scaffold that may efficiently reduce the nutrient blockage and result in a better cell amount and uniform cell distribution for tissue engineering construct developments.
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Affiliation(s)
- C A Chung
- Institute of Biomedical Engineering, National Central University, Jhongli 32001, Taiwan, ROC.
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Meadows AL, Roy S, Clark DS, Blanch HW. Optimal design of metabolic flux analysis experiments for anchorage-dependent mammalian cells using a cellular automaton model. Biotechnol Bioeng 2007; 98:221-9. [PMID: 17657779 DOI: 10.1002/bit.21414] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Metabolic flux analysis (MFA) is widely used to quantify metabolic pathway activity. Typical applications involve isotopically labeled substrates, which require both metabolic and isotopic steady states for simplified data analysis. For bacterial systems, these steady states are readily achieved in chemostat cultures. However, mammalian cells are often anchorage dependent and experiments are typically conducted in batch or fed-batch systems, such as tissue culture dishes or microcarrier-containing bioreactors. Surface adherence may cause deviations from exponential growth, resulting in metabolically heterogeneous populations and a varying number of cellular "nearest neighbors" that may affect the observed metabolism. Here, we discuss different growth models suitable for deconvoluting these effects and their application to the design and optimization of MFA experiments employing surface-adherent mammalian cells. We describe a stochastic two-dimensional (2D) cellular automaton model, with empirical descriptions of cell number and non-growing cell fraction, suitable for easy application to most anchorage-dependent mammalian cell cultures. Model utility was verified by studying the impact of contact inhibition on the growth rate, specific extracellular flux rates, and isotopic labeling in lactate for MCF7 cells, a commonly studied breast cancer cell line. The model successfully defined the time over which exponential growth and a metabolically homogeneous growing cell population could be assumed. The cellular automaton model developed is shown to be a useful tool in designing optimal MFA experiments.
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Affiliation(s)
- Adam L Meadows
- Department of Chemical Engineering, University of California, Berkeley, California 94720, USA
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Cheng G, Youssef BB, Markenscoff P, Zygourakis K. Cell population dynamics modulate the rates of tissue growth processes. Biophys J 2005; 90:713-24. [PMID: 16299082 PMCID: PMC1367098 DOI: 10.1529/biophysj.105.063701] [Citation(s) in RCA: 78] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The development and testing of a discrete model describing the dynamic process of tissue growth in three-dimensional scaffolds is presented. The model considers populations of cells that execute persistent random walks on the computational grid, collide, and proliferate until they reach confluence. To isolate the effect of population dynamics on tissue growth, the model assumes that nutrient and growth factor concentrations remain constant in space and time. Simulations start either by distributing the seed cells uniformly and randomly throughout the scaffold, or from an initial condition designed to simulate the migration and cell proliferation phase of wound healing. Simulations with uniform seeding show that cell migration enhances tissue growth by counterbalancing the adverse effects of contact inhibition. This beneficial effect, however, diminishes and disappears completely for large migration speeds. By contrast, simulations with the "wound" seeding mode show a continual enhancement of tissue regeneration rates with increasing cell migration speeds. We conclude that cell locomotory parameters and the spatial distribution of seed cells can have profound effects on the dynamics of the process and, consequently, on the pattern and rates of tissue growth. These results can guide the design of experiments for testing the effectiveness of biomimetic modifications for stimulating tissue growth.
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Affiliation(s)
- Gang Cheng
- Department of Chemical and Biomolecular Engineering, Rice University, Houston, Texas 77251-1892, USA
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Smallwood RH, Holcombe WML, Walker DC. Development and validation of computational models of cellular interaction. J Mol Histol 2005; 35:659-65. [PMID: 15614621 DOI: 10.1007/s10735-004-2660-1] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/15/2004] [Revised: 04/23/2004] [Indexed: 12/13/2022]
Abstract
In this paper we take the view that computational models of biological systems should satisfy two conditions - they should be able to predict function at a systems biology level, and robust techniques of validation against biological models must be available. A modelling paradigm for developing a predictive computational model of cellular interaction is described, and methods of providing robust validation against biological models are explored, followed by a consideration of software issues.
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Affiliation(s)
- R H Smallwood
- Department of Computer Science, University of Sheffield, 211 Portobello Street, Sheffield, S1 4DP, UK
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Cell Immobilisation in Pre-Formed Porous Matrices. FUNDAMENTALS OF CELL IMMOBILISATION BIOTECHNOLOGY 2004. [DOI: 10.1007/978-94-017-1638-3_12] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/11/2023]
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Kallos MS, Sen A, Behie LA. Large-scale expansion of mammalian neural stem cells: a review. Med Biol Eng Comput 2003; 41:271-82. [PMID: 12803291 DOI: 10.1007/bf02348431] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
A relatively new approach to the treatment of neurodegenerative diseases is the direct use of neural stem cells (NSCs) as therapeutic agents. The expected demand for treatment from the millions of afflicted individuals, coupled with the expected demand from biotechnology companies creating therapies, has fuelled the need to develop large-scale culture methods for these cells. The rapid pace of discovery in this area has been assisted through the use of animal model systems, enabling many experiments to be performed quickly and effectively. This review focuses on recent developments in expanding human and murine NSCs on a large scale, including the development of new serum-free media and bioreactor protocols. In particular, engineering studies that characterise important scale-up parameters are examined, including studies examining the effects of long-term culture of NSCs in suspension bioreactors. In addition, recent advances in the human NSC system are reviewed, including techniques for the evaluation of NSC characteristics.
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Affiliation(s)
- M S Kallos
- Pharmaceutical Production Research Facility, Faculty of Engineering, University of Calgary, Calgary, Alberta, Canada
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Abstract
In anchorage-dependent cell microcarrier cultures knowledge of the cell's growth kinetics is necessary in order to design and successfully operate bioreactors, particularly on a large scale. However, in addition to growth kinetics, an understanding of the physiological state of the culture is also important. In this paper the cell cycle progression of Vero and MRC-5 microcarrier cultures have been observed utilizing a flow cytometer. Flow cytometry analysis enabled the differentiation of the various phases of the cell cycle as the culture moved from initial inoculation to the stationary, or confluent stage. Not only was the flow cytometer able to distinguish contact inhibited cells from noncontact inhibited cells, but the measured fraction of contact inhibition cells were found to be in agreement with fractions predicted from a previously developed cellular automation model for microcarrier cultures. Further, the data from the stationary phase was used to quantify the death rate in microcarrier cultures.
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Affiliation(s)
- K A Hawboldt
- Pharmaceutical Production Research Facility (PPRF), Faculty of Engineering, University of Calgary, Alberta, Canada
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Hawboldt KA, Kalogerakis N, Behie LA. A cellular automaton model for microcarrier cultures. Biotechnol Bioeng 1994; 43:90-100. [DOI: 10.1002/bit.260430112] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Abstract
Models of cell processes can be particularly useful in simulating, optimizing and controlling cell culture systems. Models reported in the literature are of various degrees of biological structure and mathematical complexity and describe cell growth, death, metabolism, and product formation, alone or in combination with each other. This paper reviews these modeling efforts, discusses their results, potential and limitations, and identifies areas where future modeling studies may be especially valuable.
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Affiliation(s)
- E Tziampazis
- School of Chemical Engineering, Georgia Institute of Technology, Atlanta 30332-0100
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