ArticleBiophysical journal2009
A mathematical analysis of obstructed diffusion within skeletal muscle.
Article in Biophysical journal, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed, 34 citations in OpenAlex.
- Fractional diffusion on the human proteome as an alternative to the multi-organ damage of SARS-CoV-2.Chaos (Woodbury, N.Y.) · 2020Article
- A stochastic simulation of skeletal muscle calcium transients in a structurally realistic sarcomere model using MCell.PLoS computational biology · 2019Article
- Relationships between tissue microstructure and the diffusion tensor in simulated skeletal muscle.Magnetic resonance in medicine · 2018Article
- Mass release curves as the constitutive curves for modeling diffusive transport within biological tissue.Computers in biology and medicine · 2018Article
- Biomaterial-Guided Gene Delivery for Musculoskeletal Tissue Repair.Tissue engineering. Part B, Reviews · 2017Review
- Quantifying the Influence of the Crowded Cytoplasm on Small Molecule Diffusion.The journal of physical chemistry. B · 2016Article
- Enzyme localization, crowding, and buffers collectively modulate diffusion-influenced signal transduction: Insights from continuum diffusion modeling.The Journal of chemical physics · 2015Article
- Predicting the influence of long-range molecular interactions on macroscopic-scale diffusion by homogenization of the Smoluchowski equation.The Journal of chemical physics · 2014Article
- Computational modeling of subcellular transport and signaling.Current opinion in structural biology · 2014Review
- Diffusion coefficients of endogenous cytosolic proteins from rabbit skinned muscle fibers.Biophysical journal · 2014Article
- A multiscale MD-FE model of diffusion in composite media with internal surface interaction based on numerical homogenization procedure.Computer methods in applied mechanics and engineering · 2014Article
- Molecular and subcellular-scale modeling of nucleotide diffusion in the cardiac myofilament lattice.Biophysical journal · 2013Article
- Analysis of molecular movement reveals latticelike obstructions to diffusion in heart muscle cells.Biophysical journal · 2012Article
- Obstructed metabolite diffusion within skeletal muscle cells in silico.Molecular and cellular biochemistry · 2011Article
- Diffusion-Tensor MRI Based Skeletal Muscle Fiber Tracking.Imaging in medicine · 2011Article
- High-energy phosphate transfer in human muscle: diffusion of phosphocreatine.American journal of physiology. Cell physiology · 2011Article
- Symbolic flux analysis for genome-scale metabolic networks.BMC systems biology · 2011Article
- Molecules in motion: influences of diffusion on metabolic structure and function in skeletal muscle.The Journal of experimental biology · 2011Review
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Authors and funding
2 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Molecules are transported through the myofilament lattice of skeletal muscle fibers during muscle activation. The myofilaments, along with the myosin heads, sarcoplasmic reticulum, t-tubules, and mitochondria, obstruct the diffusion of molecules through the muscle fiber. In this work, we studied the process of obstructed diffusion within the myofilament lattice using Monte Carlo simulation, level-set and homogenization theory. We found that these intracellular obstacles significantly reduce the diffusion of material through skeletal muscle and generate diffusion anisotropy that is consistent with experimentally observed slower diffusion in the radial than the longitudinal direction. Our model also predicts that protein size has a significant effect on the diffusion of material through muscle, which is consistent with experimental measurements. Protein diffusion on the myofilament lattice is also anomalous (i.e., it does not obey Brownian motion) for proteins that are close in size to the myofilament spacing. The obstructed transport of Ca2+ and ATP-bound Ca2+ through the myofilament lattice also generates smaller Ca2+ transients. In addition, we used homogenization theory to discover that the nonhomogeneous distribution in the troponin binding sites has no effect on the macroscopic Ca2+ dynamics. The nonuniform sarcoplasmic reticulum Ca2+-ATPase pump distribution also introduces small asymmetries in the myoplasmic Ca2+ transients.
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