ArticleBiophysical journal1988
A continuum model of protrusion of pseudopod in leukocytes.
Article in Biophysical journal, 1988. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed, 49 citations in OpenAlex.
- Mechanoimmunology: past, present, and future perspectives.Mechanobiology in medicine · 2026Review
- G-actin diffusion is insufficient to achieve F-actin assembly in fast-treadmilling protrusions.Biophysical journal · 2023Article
- A comparison of computational models for eukaryotic cell shape and motility.PLoS computational biology · 2012Review
- A POROELASTIC MODEL FOR CELL CRAWLING INCLUDING MECHANICAL COUPLING BETWEEN CYTOSKELETAL CONTRACTION AND ACTIN POLYMERIZATION.Journal of mechanics of materials and structures · 2011Article
- Actin-myosin viscoelastic flow in the keratocyte lamellipod.Biophysical journal · 2009Article
- Mathematics of cell motility: have we got its number?Journal of mathematical biology · 2009Review
- Continuum model of cell adhesion and migration.Journal of mathematical biology · 2009Article
- Spatio-temporal analysis of eukaryotic cell motility by improved force cytometry.Proceedings of the National Academy of Sciences of the United States of America · 2007Article
- Diffusion with attrition.Journal of mathematical biology · 2006Article
- MULTISCALE TWO-DIMENSIONAL MODELING OF A MOTILE SIMPLE-SHAPED CELL.Multiscale modeling & simulation : a SIAM interdisciplinary journal · 2005Article
- Traveling wave solutions for a one-dimensional crawling nematode sperm cell model.Journal of mathematical biology · 2004Article
- An analysis of actin delivery in the acrosomal process of thyone.Biophysical journal · 1999Article
- Cell motility driven by actin polymerization.Biophysical journal · 1996Article
- The fundamental motor of the human neutrophil is not random: evidence for local non-Markov movement in neutrophils.Biophysical journal · 1994Article
- Phorbol myristate acetate induction of chemotactic migration of human polymorphonuclear neutrophils.Inflammation · 1993Article
- New physical concepts for cell amoeboid motion.Biophysical journal · 1993Article
- Locomotion forces generated by a polymorphonuclear leukocyte.Biophysical journal · 1992Article
- Mathematical model for the effects of adhesion and mechanics on cell migration speed.Biophysical journal · 1991Article
- Leukocyte biophysics. An invited review.Cell biophysics · 1990Review
- Cytoplasmic strains and strain rates in motile polymorphonuclear leukocytes.Biophysical journal · 1990Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
The morphology of human leukocytes, the biochemistry of actin polymerization, and the theory of continuum mechanics are used to model the pseudopod protrusion process of leukocytes. In the proposed model, the pseudopod is considered as a porous solid of F-actin network, the pores of which are full of aqueous solution. G-actin is considered as a "solute" transported by convection and diffusion in the fluid phase. The pseudopod grows as actin filaments elongate at their barbed ends at the tip of the pseudopod. The driving force of extension is hypothesized as being provided by the actin polymerization. It is assumed that elongation of actin filaments, powered by chemical energy liberated from the polymerization reaction, does mechanical work against opposing pressure on the membrane. This also gives rise to a pressure drop in the fluid phase at the tip of the pseudopod, which is formulated by an equation relating the work done by actin polymerization to the local state of pressure. The pressure gradient along the pseudopod drives the fluid filtration through the porous pseudopod according to Darcy's Law, which in turn brings more actin monomers to the growing tip. The main cell body serves as a reservoir of G-actin. A modified first-order equation is used to describe the kinetics of polymerization. The rate of pseudopod growth is modulated by regulatory proteins. A one-dimensional moving boundary problem based on the proposed mechanism has been constructed and approximate solutions have been obtained. Comparison of the solutions with experimental data shows that the model is compatible with available observations. The model is also applicable to growth of other cellular systems such as elongation of acrosomal process in sperm cells.
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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.