Comments to the Editor. Reply to the Comment by V.P. Shkilev on "Anomalous versus slowed-down Brownian diffusion in the ligand-binding equilibrium"

Hédi Soula 1, 2 Bertrand Caré 1, 2, * Guillaume Beslon 3, 1 Hugues Berry 1, 3, *
* Corresponding author
1 BEAGLE - Artificial Evolution and Computational Biology
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information, Inria Grenoble - Rhône-Alpes, LBBE - Laboratoire de Biométrie et Biologie Evolutive - UMR 5558
Abstract : In his comment in this issue of the Biophysical Journal, V.P. Shkilev (1) disagrees with some of the findings of our article on the influence of diffusion on the ligand-binding equilibrium (2). V.P. Shkilev makes two main claims in his comment: (i) when diffusion is uniformly Brownian (with a space-independent diffusion coefficient), "the equilibrium fraction of bound receptors [...] should depend on the dif- fusion coefficient" and (ii) when molecules undergo tran- sient subdiffusion due to a Continuous-Time Random Walk (CTRW), the equilibrium fraction of bound receptors can only be equal or larger (but not smaller) than the value ex- pected for uniform Brownian motion with comparable dif- fusion coefficient. While the former is a frequent miscon- ception related to the ligand-binding equilibrium, the lat- ter relates to an important issue in the field of (anomalous) subdiffusion-reaction couplings.
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Hédi Soula, Bertrand Caré, Guillaume Beslon, Hugues Berry. Comments to the Editor. Reply to the Comment by V.P. Shkilev on "Anomalous versus slowed-down Brownian diffusion in the ligand-binding equilibrium". Biophysical Journal, Biophysical Society, 2014, 106 (11), pp.2544-2546. ⟨10.1016/j.bpj.2014.03.052⟩. ⟨hal-00956603⟩

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