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MBIO 1010 - Lecture 16
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Generation time
Definition is the time it takes for a generation to
double
So -
time/gen
Or just
time
Growth
rate
is gen/time
when growth is unlimited it is called
exponential growth
because it generates a curve whose slope increases
continuously
growth rate (
k
) is the rate of
increase
in population number or
biomass
since bacteria and archaea grow by
binary fission
, the growth rate is expressed as the number of
doublings
per
hour
growth can be looked as the time it takes for each cell to become
2
cells, this is called the
generation
time (
g
)
the specific growth rate (k) can be calculated using the formula:
k
=
k=
k
=
(
l
o
g
N
t
−
l
o
g
N
o
)
/
0.301
x
d
e
l
t
a
t
(log Nt - log No)/ 0.301 x delta t
(
l
o
g
Nt
−
l
o
g
N
o
)
/0.301
x
d
e
lt
a
t
where nt = the number of cells at time
2
n0
is the number of cells at time 1
delta t = time
2
- time
1
Growth rate
Inverse
relation to generation time
Number of generations per
hour
or number of doublings per
hour
y axis always add
10
^
7
growth rate is always in
hours
for each organism there is a specific
growth
rate that is the
fastest
growth rate in the best growth medium at
optimal
temperature
different
for each organism
clostridium perfringens can double in numbers every
10
minutes under
optimal
growth conditions
Escherichia coli less than
30
minutes in a rich medium to grow
mycobacterium tuberculosis cannot grow faster than one doubling every
24h
batch culture
: a closed-system microbial culture of fixed volume
closed systems does not necessarily mean with a lid it means you
get what you get
-
not adding anything
,
same number of resources
typical growth curve for population of cells grown in a closed system is characterized by four phases
lag
phase
exponential
phase
stationary
phase
death
phase
lag
phase
interval between inoculation of a culture and beginning of growth
adjustment
phase - settling
exponential phase/log phase
cells in this phase are typically in the
healthiest
state
undergoing
exponential
/
logarithmic
growth
cells are at their
healthiest
exponential phase/log phase
cells in this phase are typically in the
healthiest
state
undergoing
exponential
/
logarithmic
growth
cells are at their
healthiest
stationary phase
cells
metabolically
active, but growth rate of population is
zero
either an
essential
nutrient is used up, or
waste
product of the organism accumulates in the
medium
growing but growth of population is
0
- growing at the same rate theyre dying
rate of growth = rate of death
essential nutrient is used up or waste has accumulated and is taking up space or being toxic
death phase
if
incubation
continues after cells reach stationary phase, the cells will eventually
die
not all bacteria die, some bacteria form
spores
/
cysts
or
dormant
stages that allow a significant proportion of cells to survive for a long time
higher death than
growth
rate
population
declines
some growth but overall population is
dying
continuous culture
: an open system microbial culture of fixed volume
chemostat
most common type of
continuous
culture device
both
growth
rate and population
density
of culture can be controlled
independently
and
simultaneously
dilution
rate: rate at which fresh medium is
pumped
in and spent medium is
pumped out
concentration of a
limiting
nutrient controls the population
size
and the
growth
rate
microbial counts
can be enumerated by
direct
microscopic observations using a
petroff-hausser
counting chamber
each square corresponds to a
calibrated
volume
results can be
unreliable
instead of
incubating
you would use this method if needed to know how many right then and there
limitations of microscopic counts
cannot distinguish between
live
and
dead
cells without special
stains
small cells can be
overlooked
precision is
difficult
to achieve (need a lot of counts)
phase-contrast
microscope required if a
stain
is not used
cell suspension of
low
density (<10^6 cell/ml) hard to count
motile cells need to
immobilized
debris in sample can be mistaken for cells
cells may move (
Brownian
motion), some form
clumps
based on
random
distribution and
dispersal
of the cells
flow cytometry
an alternative method that can be used to count the total number of cells
uses
laser
beams,
fluorescent
dyes and
electronics
cell
sorting
viable
= living, grow and divide to form a colony
viable cell counts
measures only
living
cells
cells capable of
growing
to form a population
two main ways to perform a
plate
count
spread
plate
method
pour
plate
method
Issues with viable cell counts
Requires lots of
preparation
(dilution tubes, agar plates), and
incubation
time (overnight or more) to get the measurements for a
single
culture
Plate counts can be highly
unreliable
when used to assess total cell numbers of natural samples (Ex: soil and water)
Selective culture media and growth conditions target only
particular
species
A single medium will
never grow
every microbe
Can
only
count the types of bacteria that can grow in the medium you
selected
to use