L. Michaelis and M. L. Menten, The kinetics of the inversion effect, Biochem, vol.576, pp.333-369, 1913.

J. P. Ward and J. R. King, Mathematical modelling of drug transport in tu-588 mour multicell spheroids and monolayer cultures, Mathematical biosciences, vol.589, issue.2, pp.177-207, 2003.

P. Hiltmann and P. Lory, On oxygen diffusion in a spherical cell with michaelis-591 menten oxygen uptake kinetics, Bulletin of Mathematical Biology, vol.45, issue.5, pp.661-664, 1983.

D. Mcelwain, A re-examination of oxygen diffusion in a spherical cell with 594 michaelis-menten oxygen uptake kinetics, Journal of Theoretical Biology, vol.595, issue.2, pp.255-263, 1978.

C. Nicholson, Interaction between diffusion and michaelis-menten uptake of 597 dopamine after iontophoresis in striatum, Biophysical journal, vol.68, issue.5, pp.1699-1715, 1995.

C. Horvath and J. Engasser, External and internal diffusion in heteroge-600 neous enzymes systems, Biotechnology and Bioengineering, vol.16, issue.7, 1974.

S. Hsu, T. Hwang, and Y. Kuang,

, Menten-type ratio-dependent predator-prey system, J of Math. Biol, vol.42, issue.6, pp.489-506, 2001.

E. Michael, Reaction/diffusion with michaelis-menten kinetics in 606 electroactive polymer films. part 1. the steady-state amperometric response, Analyst, vol.607, issue.6, pp.715-731, 1996.

J. Monod, The growth of bacterial cultures, Annual review of microbiology, vol.609, issue.1, pp.371-394, 1949.

A. Tompson, R. Knapp, M. Hanna, and R. Taylor, Simulation of tce migration 611 and biodegradation in a porous medium under conditions of finite degra-612 dation capacity, Advances in water resources, vol.17, issue.4, pp.241-249, 1994.

N. Anderson and A. Arthurs, Analytical bounding functions for diffusion prob-640 lems with michaelis-menten kinetics, Bulletin of Mathematical Biology, vol.641, issue.1, pp.145-153, 1985.

N. Anderson and A. M. Arthurs, Complementary variational principles for dif-643 fusion problems with michaelis-menten kinetics, Bulletin of Mathematical 644 Biology, vol.42, issue.1, pp.131-135, 1980.

S. Park and N. Agmon, Theory and simulation of diffusion-controlled michaelis-646 menten kinetics for a static enzyme in solution, The Journal of Physical, vol.647

, Chemistry B, vol.112, issue.19, pp.5977-5987, 2008.

I. Battiato and D. Tartakovsky, Applicability regimes for macroscopic models 649 of reactive transport in porous media, Journal of contaminant hydrology, vol.650, issue.120, pp.18-26, 2011.

I. Battiato, D. M. Tartakovsky, A. M. Tartakovsky, and T. Scheibe, On break-652 down of macroscopic models of mixing-controlled heterogeneous reactions 653 in porous media, Advances in water resources, vol.32, issue.11, pp.1664-1673, 2009.

C. Meile and K. Tuncay, Scale dependence of reaction rates in porous media, p.655

, Advances in Water Resources, vol.29, issue.1, pp.62-71, 2006.

J. Guo, M. Quintard, and F. Laouafa, Dispersion in porous media with het-657 erogeneous nonlinear reactions, Transport in Porous Media, vol.109, issue.3, p.658, 2015.

F. Heße, F. A. Radu, M. Thullner, and S. Attinger, Upscaling of the advection-660 diffusion-reaction equation with monod reaction, Advances in water re-661 sources, vol.32, pp.1336-1351, 2009.

B. D. Wood, K. Radakovich, and F. Golfier, Effective reaction at a fluid-solid 663 interface: Applications to biotransformation in porous media, Advances in 664 water resources, vol.30, pp.1630-1647, 2007.

G. Weigelhofer, J. P. Ramião, A. Puritscher, and T. Hein, How do chronic 693 nutrient loading and the duration of nutrient pulses affect nutrient uptake 694 in headwater streams?, Biogeochemistry, vol.141, issue.2, pp.249-263, 2018.

J. W. Haefner, Modeling Biological Systems:: Principles and Applications, p.696

M. Dentz, T. L. Borgne, A. Englert, and B. , Bijeljic, Mixing, spreading and 698 reaction in heterogeneous media: A brief review, Journal of contaminant, vol.699, issue.120, pp.1-17, 2011.

A. Natarajan and F. Srienc, Glucose uptake rates of single e. coli cells grown 701 in glucose-limited chemostat cultures, Journal of microbiological methods, vol.702, issue.1, pp.87-96, 2000.

A. L. Koch, Some calculations on the turbidity of mitochondria and bac-704

. Teria, Biochimica et biophysica acta, vol.51, issue.3, pp.429-441, 1961.

M. Rolle and T. L. Borgne, Mixing and reactive fronts in the subsurface, Re-706 views in Mineralogy and Geochemistry, vol.85, pp.111-142, 2019.

T. L. Borgne, M. Dentz, and E. Villermaux, The lamellar description of mixing 708 in porous media, Journal of Fluid Mechanics, vol.770, p.458498, 2015.