Phase-Space Geometry of Mass-Conserving Reaction-Diffusion Dynamics
Fridtjof Brauns, Jacob Halatek, Erwin Frey
Abstract
A new theoretical framework for describing the dynamics of proteins diffusing and interacting in cells provides a way to understand the emergence of self-organized patterns that control cell and tissue functions.
Topics & Concepts
Statistical physicsNonlinear systemPattern formationPhase spaceReaction–diffusion systemInstabilityPhase planeSubspace topologyDiffusion mapPhysicsClassical mechanicsComputer scienceMathematicsMathematical analysisMechanicsNonlinear dimensionality reductionDimensionality reductionBiologyArtificial intelligenceGeneticsThermodynamicsQuantum mechanicsNonlinear Dynamics and Pattern FormationMathematical Biology Tumor GrowthProtein Structure and Dynamics