3 papers
math.AP2025
Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling
Le Trong Thanh Bui, Thi Kim Loan Huynh, Bao Quoc Tang +1
Singular limits for the following indirect signalling chemotaxis system \begin{align*} \left\{ \begin{array}{lllllll} \partial_t n = Δn - \nabla \cdot (n \nabla c ) & \text{in } Ω\…
math.AP2024
Singular limit and convergence rate via projection method in a model for plant-growth dynamics with autotoxicity
Jeff Morgan, Cinzia Soresina, Bao Quoc Tang +1
We investigate a fast-reaction--diffusion system modelling the effect of autotoxicity on plant-growth dynamics, in which the fast-reaction terms are based on the dichotomy between…
math.AP2023
Rigorous derivation of Michaelis-Menten kinetics in the presence of diffusion
Bao Quoc Tang, Bao-Ngoc Tran
Reactions with enzymes are critical in biochemistry, where the enzymes act as catalysis in the process. One of the most used mechanisms for modeling enzyme-catalyzed reactions is t…