Multiscale FEM simulations of cross‐linked actin network embedded in cytosol with the focus on the filament orientation

Klinge, Sandra; Aygün, Serhat; Gilbert, Robert P.; Holzapfel, Gerhard

doi:10.1002/cnm.2993

Cited by 7 publications

(8 citation statements)

References 74 publications

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“…The model has the advantage of explaining the crosslinker unbinding mechanism dominated in the network deformation and disclosing the dependency of network response on strain rate. Recently, a multiscale FE model was developed by Klinge et al 128 to account for the actin network‐cytosol interaction. This model can be used to study the filament orientation and its influence on the biomechanics of the actin network.…”

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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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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“…However, the derivatives Ψ = Ψ (f * ) and Ψ = Ψ (f * ) of the potential can be calculated depending on the dimensionless force f * , which is numerically calculated from Eq. (1). Based on the previously described model, a new 2-node line element has been developed [1].…”

Section: Viscoelastic Materials Model For the Actin Filamentmentioning

confidence: 99%

“…(1). Based on the previously described model, a new 2-node line element has been developed [1]. The position of an arbitrary point, belonging to such an element, is expressed as X e = X e1 +X e R in the reference configuration and as x e = x e1 +x e t in the current configuration.…”

Section: Viscoelastic Materials Model For the Actin Filamentmentioning

confidence: 99%

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On the mechanical modeling of cell components

Klinge

Wiegold

Aygün

et al. 2021

Proc Appl Math and Mech

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Eukaryotic cells are complex systems which carry out a variety of different tasks. The current contribution gives insight into the modeling of some of their vital components and represents an overview of results achieved within the international D-A-CH project on computational modeling of transport processes in a cell. The first part of the contribution studies viscoelastic effects of cross-linked actin network embedded in cytosol. The basic-model is used to simulate the actin behavior at a microscopic level. It considers the influence of the physical length, the end-to-end distance and the stretch modulus in order to provide a relationship between the stretch of a single polymer chain and the applied tension force. The effective behavior of the cell cytoplasm is simulated by using the multiscale finite element method. Here, a standard large strain viscous approach is applied for the cytosol, while the generalized Maxwell model simulates viscous effects occurring in filaments due to deviatoric changes. The examples dealing with combinations of tension-holding tests give insight into the effective behavior of the cytoplasm. The second part of the talk deals with the viral entry into a cell driven by the receptor motion. In the model developed, the receptor motion is described by the diffusion equation along with two boundary conditions. The first condition represents the balance of fluxes at the front of the contact area. To this end, the velocity is assumed to be proportional to the gradient of the chemical potential. The second condition deals with the energy balance and postulates that the difference in the energy behind and before the front causes the front's movement. The important energy contributions are energy due to the binding of receptors, the free energy of the membrane, the bending energy and the kinetic energy due to the motion of the receptors. The model yields a well-posed moving boundary problem, which is numerically solved using the finite difference method. The change of receptor density over the membrane as well as the motion of the front of the adhesion zone is studied in the numerical simulations.

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“…The model introduced the crosslinker unbinding mechanism dominated by deformation and is able to identify the dependency of network response on strain rate. Recently, a multiscale FEM model comprising the interaction of the actin network and cytosol was developed by Klinge et al [139]. The model could be used to explore the filament orientation and its influence on the mechanical responses of network.…”

Section: Actin Networkmentioning

confidence: 99%

Modelling on the nanomechanics of cytoskeletal filaments

Li¹

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Multiscale FEM simulations of cross‐linked actin network embedded in cytosol with the focus on the filament orientation

Cited by 7 publications

References 74 publications

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

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

On the mechanical modeling of cell components

Modelling on the nanomechanics of cytoskeletal filaments

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