<s>
In	O
neurobiology	O
,	O
the	O
length	B-Algorithm
constant	I-Algorithm
( λ	O
)	O
is	O
a	O
mathematical	O
constant	O
used	O
to	O
quantify	O
the	O
distance	O
that	O
a	O
graded	O
electric	O
potential	O
will	O
travel	O
along	O
a	O
neurite	O
via	O
passive	O
electrical	O
conduction	O
.	O
</s>
<s>
The	O
greater	O
the	O
value	O
of	O
the	O
length	B-Algorithm
constant	I-Algorithm
,	O
the	O
farther	O
the	O
potential	O
will	O
travel	O
.	O
</s>
<s>
A	O
large	O
length	B-Algorithm
constant	I-Algorithm
can	O
contribute	O
to	O
spatial	O
summation	O
—	O
the	O
electrical	O
addition	O
of	O
one	O
potential	O
with	O
potentials	O
from	O
adjacent	O
areas	O
of	O
the	O
cell	O
.	O
</s>
<s>
The	O
length	B-Algorithm
constant	I-Algorithm
can	O
be	O
defined	O
as	O
:	O
</s>
<s>
The	O
membrane	O
resistance	O
is	O
a	O
function	O
of	O
the	O
number	O
of	O
open	O
ion	O
channels	O
,	O
and	O
the	O
axial	O
resistance	O
is	O
generally	O
a	O
function	O
of	O
the	O
diameter	O
of	O
the	O
axon	B-Algorithm
.	O
</s>
<s>
The	O
greater	O
the	O
diameter	O
of	O
the	O
axon	B-Algorithm
,	O
the	O
lower	O
the	O
ri	O
.	O
</s>
<s>
Where	O
voltage	O
,	O
V	O
,	O
is	O
measured	O
in	O
millivolts	O
,	O
x	O
is	O
distance	O
from	O
the	O
start	O
of	O
the	O
potential	O
(	O
in	O
millimeters	O
)	O
,	O
and	O
λ	O
is	O
the	O
length	B-Algorithm
constant	I-Algorithm
(	O
in	O
millimeters	O
)	O
.	O
</s>
<s>
This	O
means	O
that	O
the	O
length	B-Algorithm
constant	I-Algorithm
is	O
the	O
distance	O
at	O
which	O
63%	O
of	O
Vmax	O
has	O
been	O
reached	O
during	O
the	O
rise	O
of	O
voltage	O
.	O
</s>
<s>
Setting	O
for	O
x	O
=	O
λ	O
for	O
the	O
fall	O
of	O
voltage	O
sets	O
V(x )	O
equal	O
to	O
.37	O
Vmax	O
,	O
meaning	O
that	O
the	O
length	B-Algorithm
constant	I-Algorithm
is	O
the	O
distance	O
at	O
which	O
37%	O
of	O
Vmax	O
has	O
been	O
reached	O
during	O
the	O
fall	O
of	O
voltage	O
.	O
</s>
<s>
Expressed	O
in	O
this	O
way	O
,	O
it	O
can	O
be	O
seen	O
that	O
the	O
length	B-Algorithm
constant	I-Algorithm
increases	O
with	O
increasing	O
radius	O
of	O
the	O
neuron	O
.	O
</s>
