Reaction-diffusion Models

Introduction

3D model

Four cases

Assumptions

• Target mammalian cell located in the center of the well
• Constant rate of lactate production
• E. coli bound to target cell abstracted into homogeneous layer around target cell
• Two different forms of unbound E. coli
• Discrete: single cell of E. coli suspended in the medium
• Bulk: reactions of the rest of the E. coli simulated in same space as medium
• Lactate represented as two states: inside and outside E. coli, denoted \(Lac_{int}\) and \(Lac_{ext}\), respectively
• \(Lac_{int}\) can diffuse freely through medium and membranes, \(Lac_{ext}\) cannot
• Use to simulate different import and export rates of lactate into E. coli
• Bulk E. coli grow logistically

Results

1D and 2D models