Dynamics of a structured neuron population

Dynamics of a structured neuron population

We study the dynamics of assemblies of interacting neurons. For large fully connected networks, the dynamics of the system can be described by a partial differential equation reminiscent of agestructure models used in mathematical ecology, where the ”age” of a neuron represents the time elapsed since its last discharge. The nonlinearity arises from the connectivity J of the network. We prove so...

Dose-structured population dynamics.

Applied population dynamics modeling is relied upon with increasing frequency to quantify how human activities affect human and non-human populations. Current techniques include variously the population's spatial transport, age, size, and physiology, but typically not the life-histories of exposure to other important things occurring in the ambient environment, such as chemicals, heat, or radia...

Physiologically Structured Models of Rotifer Population Dynamics in a Chemostat

Current knowledge of the principles of population dynamics is unsatisfactory on both empirical and theoretical grounds. The main problems are a weak empirical base, overly simple models with but vague links to real systems, and little effective interplay between theory and experiment. We therefore believe there is a need for renewed emphasis on carefully controlled laboratory studies of populat...

A size-structured population dynamics model of Daphnia

A general modeling framework for describing spatially structured population dynamics

Variation in movement across time and space fundamentally shapes the abundance and distribution of populations. Although a variety of approaches model structured population dynamics, they are limited to specific types of spatially structured populations and lack a unifying framework. Here, we propose a unified network-based framework sufficiently novel in its flexibility to capture a wide varie...