Hybrid models of chemotaxis with application to leukocyte migration

Lu, Hannah; Um, Kimoon; Tartakovsky, Daniel M.

doi:10.1007/s00285-021-01581-7

Cited by 3 publications

(4 citation statements)

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“…This work is a preliminary and a crucial step toward future in understanding the influence of decoy receptors on other mechanisms such as cell apoptosis, cell adhesion, cell signaling, and so on. Our analysis of chemotactic cell response due to receptors will have significant application and open doors to future research in quantitative understanding of immunotaxis, leukocyte migration during immune response to inflammation, and chemotactic behavior of nanoswimmers in penetration to the brain to name a few 6 , 7 , 43 .…”

Section: Discussionmentioning

confidence: 99%

“…Chemotaxis due to interaction of ligand, normal and decoy receptors have been widely studied in the field of biology but cell migration due to the inclusion of decoy receptors in presence of normal receptors and ligand has not been mathematically formulated and experimentally validated 4 , 5 . Cell migration due to chemotaxis which has widespread application in immunotaxis, leukocyte migration during immune response to inflammation involves complex molecular biology 6 , 7 . Although much study has been conducted in understanding the role of decoy receptors and the associated biochemical responses, there is a critical need to interpret the responses of these biological processes involved in chemotaxis through quantitative predictions.…”

Section: Introductionmentioning

confidence: 99%

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A mathematical modeling technique to understand the role of decoy receptors in ligand-receptor interaction

Dey

Ghosh

Banerjee

2023

Sci Rep

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The ligand-receptor interaction is fundamental to many cellular processes in eukaryotic cells such as cell migration, proliferation, adhesion, signaling and so on. Cell migration is a central process in the development of organisms. Receptor induced chemo-tactic sensitivity plays an important role in cell migration. However, recently some receptors identified as decoy receptors, obstruct some mechanisms of certain regular receptors. DcR3 is one such important decoy receptor, generally found in glioma cell, RCC cell and many various malignant cells which obstruct some mechanism including apoptosis cell-signaling, cell inflammation, cell migration. The goal of our work is to mathematically formulate ligand-receptor interaction induced cell migration in the presence of decoy receptors. We develop here a novel mathematical model, consisting of four coupled partial differential equations which predict the movement of glioma cells due to the reaction-kinetic mechanism between regular receptors CD95, its ligand CD95L and decoy receptors DcR3 as obtained in experimental results. The aim is to measure the number of cells in the chamber’s filter for different concentrations of ligand in presence of decoy receptors and compute the distance travelled by the cells inside filter due to cell migration. Using experimental results, we validate our model which suggests that the concentration of ligands plays an important role in cell migration.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A mathematical modeling technique to understand the role of decoy receptors in ligand-receptor interaction

Dey

Ghosh

Banerjee

2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Therefore, the time variation of the cell density can be determined as a function of the concentration gradients, which are responsible for the aggregation of cells [19,20]. However, the usage of hybrid models for chemotaxis in the literature is much more recent and comparatively scarce [21,22,23]. These models are being increasingly used in the representation of many biological phenomena [24], specially in the modelling of cancer growth [25,26,27].…”

Section: Introductionmentioning

confidence: 99%

“…Our main purpose is to design a model that can be efficiently hybridized with specific cellular automata models for tumor growth [26,27], where immune cells are attracted to the tumor location by chemotaxis during the process of immune cell recruitment [28]. As opposed to previous hybrid models [21,23], here the cell dynamics is treated discretely [19,29], while the diffusion of the chemoattractant is modelled by means of continuous partial differential equations [18]. Certainly, the model assumptions must be in accordance with the hypothetical continuum limit above-mentioned [17,30].…”

Section: Introductionmentioning

confidence: 99%