Cross-diffusion induced patterns for a single-step enzymatic reaction

@article{Giunta2020CrossdiffusionIP,
  title={Cross-diffusion induced patterns for a single-step enzymatic reaction},
  author={Giovanni Giunta and Hamid Seyed-allaei and Ulrich Gerland},
  journal={Communications Physics},
  year={2020},
  volume={3},
  pages={1-9}
}
Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for these transport dynamics. Here, we use mathematical modeling and numerical simulations to analyze whether the enzymatic reactions can generate a significant feedback from enzyme transport onto the substrate profile. We find that this feedback can generate… 
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