Constitutive modelling of composite biopolymer networks

Fallqvist, Björn; Kroon, Martin

doi:10.1016/j.jtbi.2016.01.034

Cited by 8 publications

(5 citation statements)

References 32 publications

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“…To this end, homogenization of the emergent properties of cytoskeletal networks in a continuum framework is much sought after. Studies by groups such as Muller et al, Kwon et al, and Fallqvist et al developed microstructure based constitutive equations of the stiffness of actin cytoskeletal networks.…”

Section: Measurements and Models Of The Contribution Of Cytoskeletal mentioning

confidence: 99%

“…Fallqvist et al formulated a thermodynamically consistent constitutive law that incorporates anisotropic properties and is based on a strain energy function that can be incorporated into the continuum‐based models. Starting with a 1‐dimensional (1D) strain energy function, W 1 D for an individual filament within a network:

W_{1 D} = W_{f} + W_{s},

W_{f} = \frac{μ_{f}}{4} {(λ_{f} - 1)}^{2}, W_{s} = \frac{μ_{s}}{2} \int_{1}^{λ_{s}} f_{s} ((), λ_{s}^{'}) d λ_{s}^{'},

W f and W s are strain energies due to filament bending and stretching, respectively.…”

Section: Measurements and Models Of The Contribution Of Cytoskeletal mentioning

confidence: 99%

See 1 more Smart Citation

Computational modeling of single‐cell mechanics and cytoskeletal mechanobiology

Rajagopal

Holmes

Lee

2017

WIREs Mechanisms of Disease

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Cellular cytoskeletal mechanics plays a major role in many aspects of human health from organ development to wound healing, tissue homeostasis and cancer metastasis. We summarize the state‐of‐the‐art techniques for mathematically modeling cellular stiffness and mechanics and the cytoskeletal components and factors that regulate them. We highlight key experiments that have assisted model parameterization and compare the advantages of different models that have been used to recapitulate these experiments. An overview of feed‐forward mechanisms from signaling to cytoskeleton remodeling is provided, followed by a discussion of the rapidly growing niche of encapsulating feedback mechanisms from cytoskeletal and cell mechanics to signaling. We discuss broad areas of advancement that could accelerate research and understanding of cellular mechanobiology. A precise understanding of the molecular mechanisms that affect cell and tissue mechanics and function will underpin innovations in medical device technologies of the future. WIREs Syst Biol Med 2018, 10:e1407. doi: 10.1002/wsbm.1407This article is categorized under: Models of Systems Properties and Processes > Mechanistic ModelsPhysiology > Mammalian Physiology in Health and DiseaseModels of Systems Properties and Processes > Cellular Models

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Section: Measurements and Models Of The Contribution Of Cytoskeletal mentioning

confidence: 99%

W_{1 D} = W_{f} + W_{s},

W_{f} = \frac{μ_{f}}{4} {(λ_{f} - 1)}^{2}, W_{s} = \frac{μ_{s}}{2} \int_{1}^{λ_{s}} f_{s} ((), λ_{s}^{'}) d λ_{s}^{'},

W f and W s are strain energies due to filament bending and stretching, respectively.…”

Section: Measurements and Models Of The Contribution Of Cytoskeletal mentioning

confidence: 99%

Computational modeling of single‐cell mechanics and cytoskeletal mechanobiology

Rajagopal

Holmes

Lee

2017

WIREs Mechanisms of Disease

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“…Nonetheless, there are models that address these drawbacks, e.g., the coarse-grained model, which offers improved solutions, and various modeling and analysis methods are being developed. 50,51 Because these models are typically based on thermodynamics, a strain energy function can be simplified at 1D (W 1D ) as follows: 52

where W b and W s are the strain energies generated by filament bending and stretching, respectively.

and

are the stiffness parameters and magnitudes of bending and stretching of individual filament, respectively.…”

Section: Mechanistic Analysis Of Cell Dynamicsmentioning

confidence: 99%

Subcellular mechano-regulation of cell migration in confined extracellular microenvironment

Kim,

Kim

2023

Biophysics Reviews

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Cell migration is a highly coordinated cellular event that determines diverse physiological and pathological processes in which the continuous interaction of a migrating cell with neighboring cells or the extracellular matrix is regulated by the physical setting of the extracellular microenvironment. In confined spaces, cell migration occurs differently compared to unconfined open spaces owing to the additional forces that limit cell motility, which create a driving bias for cells to invade the confined space, resulting in a distinct cell motility process compared to what is expected in open spaces. Moreover, cells in confined environments can be subjected to elevated mechanical compression, which causes physical stimuli and activates the damage repair cycle in the cell, including the DNA in the nucleus. Although cells have a self-restoring system to repair damage from the cell membrane to the genetic components of the nucleus, this process may result in genetic and/or epigenetic alterations that can increase the risk of the progression of diverse diseases, such as cancer and immune disorders. Furthermore, there has been a shift in the paradigm of bioengineering from the development of new biomaterials to controlling biophysical cues and fine-tuning cell behaviors to cure damaged/diseased tissues. The external physical cues perceived by cells are transduced along the mechanosensitive machinery, which is further channeled into the nucleus through subcellular molecular linkages of the nucleoskeleton and cytoskeleton or the biochemical translocation of transcription factors. Thus, external cues can directly or indirectly regulate genetic transcriptional processes and nuclear mechanics, ultimately determining cell fate. In this review, we discuss the importance of the biophysical cues, response mechanisms, and mechanical models of cell migration in confined environments. We also discuss the effect of force-dependent deformation of subcellular components, specifically focusing on subnuclear organelles, such as nuclear membranes and chromosomal organization. This review will provide a biophysical perspective on cancer progression and metastasis as well as abnormal cellular proliferation.

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“…Later, a thermodynamically consistent constitutive model was proposed by Fallqvist and Kroon 139 to explore the correlation between the microstructure and mechanical behaviour of the networks. The model efficiently captured many experimentally observed characteristics of the actin network including strain hardening, network rupture with subsequent softening and viscoelastic deformation.…”

Section: Models Of Cytoskeletal Networkmentioning

confidence: 99%

Biomechanics of cells and subcellular components: A comprehensive review of computational models and applications

Wang

Ademiloye

et al. 2021

Numer Methods Biomed Eng

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Cells are a fundamental structural, functional and biological unit for all living organisms. Up till now, considerable efforts have been made to study the responses of single cells and subcellular components to an external load, and understand the biophysics underlying cell rheology, mechanotransduction and cell functions using experimental and in silico approaches. In the last decade, computational simulation has become increasingly attractive due to its critical role in interpreting experimental data, analysing complex cellular/subcellular structures, facilitating diagnostic designs and therapeutic techniques, and developing biomimetic materials. Despite the significant progress, developing comprehensive and accurate models of living cells remains a grand challenge in the 21st century. To understand current state of the art, this review summarises and classifies the vast array of computational biomechanical models for cells. The article covers the cellular components at multi‐spatial levels, that is, protein polymers, subcellular components, whole cells and the systems with scale beyond a cell. In addition to the comprehensive review of the topic, this article also provides new insights into the future prospects of developing integrated, active and high‐fidelity cell models that are multiscale, multi‐physics and multi‐disciplinary in nature. This review will be beneficial for the researchers in modelling the biomechanics of subcellular components, cells and multiple cell systems and understanding the cell functions and biological processes from the perspective of cell mechanics.

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Constitutive modelling of composite biopolymer networks

Cited by 8 publications

References 32 publications

Computational modeling of single‐cell mechanics and cytoskeletal mechanobiology

Computational modeling of single‐cell mechanics and cytoskeletal mechanobiology

Subcellular mechano-regulation of cell migration in confined extracellular microenvironment

Biomechanics of cells and subcellular components: A comprehensive review of computational models and applications

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