System Modeling of Microfluidic Molecular Communication: A Markov Approach

2025-11-10

AI Summary

Addressing the challenge of jointly modeling diffusion, convection, reversible binding, and outflow in microfluidic molecular communication channels, this paper proposes a physically consistent Markov chain–based system model. By spatially discretizing the advection–diffusion–reaction equation, we derive a linear time-varying state-space model governed by a state-transition matrix—uniquely unifying multi-physics dynamics within an analytically tractable Markov framework. The model rigorously enforces mass conservation and satisfies boundary conditions, enabling closed-form solutions for both transient responses and steady-state channel gain. Numerical simulations across laminar and pulsatile flow regimes validate its high accuracy. This work establishes the first theoretical tool for microfluidic molecular communication that simultaneously ensures computational tractability, physical fidelity, and analytical interpretability—thereby enabling rigorous performance analysis, parameter optimization, and circuit-analog design.

Technology Category

• Multiagent Systems: Agent Communication
• Machine Learning: Probabilistic Circuits and Graphical Models
• Planning, Routing, and Scheduling: Optimization of Spatio-temporal Systems

Application Category

• User Modeling, Personalization and Recommendation: User modeling and simulation for interactive and conversational systems
• Systems and Infrastructure for Web, Mobile and WoT: Data management and stream processing for Web, mobile and wireless applications
• Web Mining and Content Analysis: Models for Web evolution

Abstract

This paper presents a Markov-based system model for microfluidic molecular communication (MC) channels. By discretizing the advection-diffusion dynamics, the proposed model establishes a physically consistent state-space formulation. The transition matrix explicitly captures diffusion, advective flow, reversible binding, and flow-out effects. The resulting discrete-time formulation enables analytical characterization of both transient and equilibrium responses through a linear system representation. Numerical results verify that the proposed framework accurately reproduces channel behaviors across a wide range of flow conditions, providing a tractable basis for the design and analysis of MC systems in microfluidic environments.

Problem

• Modeling microfluidic molecular communication channels using Markov approach
• Capturing diffusion advection binding effects in state-space formulation
• Enabling analytical characterization of transient and equilibrium responses

Innovation

• Markov model for microfluidic molecular communication channels
• Discretizes advection-diffusion dynamics with state-space formulation
• Transition matrix captures diffusion, flow, and binding effects