PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
February 19, 2026Calculus of Variations and Partial Differential Equations1 citationsOpen Access

Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling

View Full Paper
LBL. BuiUniversity of Economics Ho Chi Minh CityTHThi Kim Loan HuynhVietnam National University Ho Chi Minh CityJYJuan YangShanghai Jiao Tong University

Key Points

  • This research aims to simplify complex chemotaxis systems that involve indirect signalling between chemical signals and responding agents.
  • Mathematical modeling of a chemotaxis system using partial differential equations.
  • Analysis of singular limits in the system to derive simplified models.
  • Examination of boundary conditions on the system dynamics.
  • Demonstrated reduction from a complex to a more manageable parabolic-elliptic form.
  • Identified behavior patterns of agents in response to chemical gradients under indirect signalling.
  • Showed how simplifications retain the essential characteristics of the original system.

Abstract

Abstract Singular limits for the following indirect signalling chemotaxis system aligned \ array{lllllll ₜ n = n - (n c) & in (0, ), \\ ₜ c = c - c + w & in (0, ), \\ ₜ w = w - w + n & in (0, ), \\ _ n = _ c = _ w = 0, & on (0, ) array. aligned ∂ t n = Δ n - ∇ · (n ∇ c) in Ω × (0, ∞), ε ∂ t c = Δ c - c + w in Ω × (0, ∞), ε ∂ t w = τ Δ w - w + n in Ω × (0, ∞), ∂ ν n = ∂ ν c = ∂ ν w = 0, on ∂ Ω × (0, <mml: m

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Bui et al. (2026) studied this question.

synapsesocial.com/papers/6996a8e3ecb39a600b3f0232https://doi.org/10.1007/s00526-025-03247-4
Ask AI
Helpful
Bookmark
Share
View Full Paper