The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
With a reaction-diffusion system, we consider the dispersing two-species
Lotka-Volterra model with a temporally periodic interruption of the interspecific
competitive relationship. We assume that the competition coefficient becomes a given
positive constant and zero by turns periodically in time. We investigate the condition
for the coexistence of two competing species in space, especially in the bistable case
for the population dynamics without dispersion. We could find that the spatial coexistence,...
Epidermal wound healing is a complex process that repairs injured tissue. The complexity
of this process increases when bacteria are present in a wound; the bacteria interaction
determines whether infection sets in. Because of underlying physiological problems
infected wounds do not follow the normal healing pattern. In this paper we present a
mathematical model of the healing of both infected and uninfected wounds. At the core of
our model is an...
In this article, we build a mathematical model to understand the
formation of a tree leaf. Our model is based on the idea that a leaf
tends to maximize internal efficiency by developing an efficient
transport system for transporting water and nutrients. The meaning
of “the efficient transport system” may vary as the type of the
tree leave varies. In this article, we will demonstrate that tree
leaves have different shapes and venation patterns mainly because
they have adopted different efficient...
We discuss theoretical and experimental approaches to three distinct
developmental systems that illustrate how theory can influence experimental work
and vice-versa. The chosen systems – Drosophila melanogaster,
bacterial pattern formation, and pigmentation patterns – illustrate the
fundamental physical processes of signaling, growth and cell division, and cell
movement involved in pattern formation and development. These systems exemplify
the current state of theoretical and experimental understanding...
Currently displaying 1 –
6 of
6