A goal of modern biology is to understand the molecular mechanisms underlying cellular
function. The ability to manipulate and analyze single cells is crucial for this task. The advent …

The establishment of a functioning neuronal network is a crucial step in neural development.
During this process, neurons extend neurites—axons and dendrites—to meet other neurons …

In flowering plants, guidance of the pollen tube to the embryo sac (the haploid female
gametophyte) is critical for successful fertilization. The target embryo sac may attract the …

Chemotactic cells known as microglia are involved in the inflammation associated with
pathology in Alzheimer's disease (AD). We investigate conditions that lead to aggregation of …

Growing axons are often guided to their final destination by intermediate targets. In the
developing spinal cord and optic nerve, specialized cells at the embryonic midline act as …

The ability to continually collect diagnostic information from the body during daily activity has
revolutionized the monitoring of health and disease. Much of this monitoring, however, has …

Computing in Nonlinear Media and Automata Collectives presents an account of new ways
to design massively parallel computing devices in advanced mathematical models, such as …

In this article we propose a mathematical model for the onset and progression of Alzheimer's
disease based on transport and diffusion equations. We regard brain neurons as a …

The developing axon is believed to navigate towards its target tissue in response to a
concentration gradient of neurotrophic factors, among other diffusible and surface-bound …

Background As an alternative to advection, solute transport by shear-augmented dispersion
within oscillatory cerebrospinal fluid flow was investigated in small channels representing …