Joe Mahaffy
Department of Mathematics San DiegoStateUniversity
ABSTRACT:
Marine phage are virus that
infect bacteria in the ocean. There are about 1031 phage in the oceans, yet
little is known about phage ecology and population dynamics. Each day they
destroy about 25% of the marine bacteria, playing an important role in the carbon
cycle of the oceans, which is a significant part of the global CO2 cycle. Our
studies have used shotgun sequencing and mathematical models based on a
Lander-Waterman algorithm to learn about species diversity and abundance.
Studies show that the ratio of bacteria to phage remains fairly constant
(about 1:10) through a variety of habitats. We develop a two compartment
model and fit a number of parameters to explain how this ratio can be
maintained. A modified model with delays using quorum sensing of the
bacterial population by the phage shows how adaptations of phage between lysogenic and lytic life cycles
can produce oscillations in the phage and its host populations, while the
ratio of bacteria to phage still remains fairly constant.