ArticleCellular and molecular bioengineering2013
Master equation-based analysis of a motor-clutch model for cell traction force.
Article in Cellular and molecular bioengineering, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 45 papers.
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Who cites it
45 citing papers in PubMed, 93 citations in OpenAlex.
- Substrate curvature and stiffness equivalence in governing cell mechanosensing.Nature communications · 2026Article
- Glioblastoma Subtypes Exhibit Distinct Migration Mechanics and Immune Responses.Cancer research communications · 2026Article
- Cell-Extracellular Matrix Feedback Results in Spontaneous Cell Polarization and Heterogeneous Remodeling in 3D Isotropic and Aligned Discrete-Fiber Models of Cell-Mediated Remodeling.Cellular and molecular bioengineering · 2026Article
- Glassy adhesion dynamics govern transitions between sub-diffusive and super-diffusive cancer cell migration on viscoelastic substrates.Nature communications · 2026Article
- Models of Cellular Mechanosensation.Results and problems in cell differentiation · 2026Review
- Dynamic rigidity changes enable rapid cell migration on soft substrates.Nature communications · 2025Article
- A multiscale theory for mesenchymal cell migration in straight or curved channel confinement.Biophysical journal · 2025Article
- Nuclear Deformation and Stiffness-Dependent Traction Force Generation Dictate the Migration of Cells under Confinement.ACS applied materials & interfaces · 2025Article
- The motor-clutch model in mechanobiology and mechanomedicine.Mechanobiology in medicine · 2024Review
- Mechanical forces amplify TCR mechanotransduction in T cell activation and function.Applied physics reviews · 2024Review
- Myosin-independent stiffness sensing by fibroblasts is regulated by the viscoelasticity of flowing actin.Communications materials · 2024Article
- Insight to motor clutch model for sensing of ECM residual strain.Mechanobiology in medicine · 2023Article
- A multiscale theory for spreading and migration of adhesion-reinforced mesenchymal cells.Journal of the Royal Society, Interface · 2023Article
- Subcellular mechano-regulation of cell migration in confined extracellular microenvironment.Biophysics reviews · 2023Review
- Force-dependent focal adhesion assembly and disassembly: A computational study.PLoS computational biology · 2023Article
- Extracellular matrix sensing via modulation of orientational order of integrins and F-actin in focal adhesions.Life science alliance · 2023Article
- Optimal cell traction forces in a generalized motor-clutch model.Biophysical journal · 2023Article
- Computational model of integrin adhesion elongation under an actin fiber.PLoS computational biology · 2023Article
- Glioblastoma Spheroid Invasion through Soft, Brain-Like Matrices Depends on Hyaluronic Acid-CD44 Interactions.Advanced healthcare materials · 2023Article
- Lose the stress: Viscoelastic materials for cell engineering.Acta biomaterialia · 2023Review
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Microenvironmental mechanics play an important role in determining the morphology, traction, migration, proliferation, and differentiation of cells. A stochastic motor-clutch model has been proposed to describe this stiffness sensitivity. In this work, we present a master equation-based ordinary differential equation (ODE) description of the motor-clutch model, from which we derive an analytical expression to for a cell's optimum stiffness (i.e. the stiffness at which the traction force is maximal). This analytical expression provides insight into the requirements for stiffness sensing by establishing fundamental relationships between the key controlling cell-specific parameters. We find that the fundamental controlling parameters are the numbers of motors and clutches (constrained to be nearly equal), and the time scale of the on-off kinetics of the clutches (constrained to favor clutch binding over clutch unbinding). Both the ODE solution and the analytical expression show good agreement with Monte Carlo motor-clutch output, and reduce computation time by several orders of magnitude, which potentially enables long time scale behaviors (hours-days) to be studied computationally in an efficient manner. The ODE solution and the analytical expression may be incorporated into larger scale models of cellular behavior to bridge the gap from molecular time scales to cellular and tissue time scales.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.