<s>
PottersWheel	B-Application
is	O
a	O
MATLAB	B-Language
toolbox	O
for	O
mathematical	O
modeling	O
of	O
time-dependent	O
dynamical	O
systems	O
that	O
can	O
be	O
expressed	O
as	O
chemical	O
reaction	O
networks	O
or	O
ordinary	O
differential	O
equations	O
(	O
ODEs	O
)	O
.	O
</s>
<s>
CPU-intensive	O
functions	O
are	O
written	O
or	O
–	O
in	O
case	O
of	O
model	O
dependent	O
functions	O
–	O
dynamically	O
generated	O
in	O
C	B-Language
.	O
Modeling	O
can	O
be	O
done	O
interactively	O
using	O
graphical	O
user	O
interfaces	O
or	O
based	O
on	O
MATLAB	B-Language
scripts	O
using	O
the	O
PottersWheel	B-Application
function	O
library	O
.	O
</s>
<s>
The	O
model	O
is	O
stored	O
as	O
a	O
MATLAB	B-Language
*	O
.m	O
ASCII	O
file	O
.	O
</s>
<s>
Modifications	O
can	O
therefore	O
be	O
tracked	O
using	O
a	O
version	O
control	O
system	O
like	O
subversion	B-Application
or	O
git	B-Application
.	O
</s>
<s>
Example	O
for	O
a	O
simple	O
model	O
definition	O
file	O
for	O
a	O
reaction	O
network	O
A	O
→	O
B	O
→	O
C	B-Language
→	O
A	O
with	O
observed	O
species	O
A	O
and	O
C	B-Language
:	O
</s>
<s>
Statistically	O
,	O
this	O
is	O
expressed	O
using	O
a	O
chi-squared	B-General_Concept
test	I-General_Concept
resulting	O
in	O
a	O
p-value	B-General_Concept
above	O
a	O
significance	O
threshold	O
of	O
e.g.0.05	O
.	O
</s>
<s>
Apart	O
from	O
further	O
chi-squared	O
based	O
characteristics	O
like	O
AIC	O
and	O
BIC	B-General_Concept
,	O
data-model-residual	O
analyses	O
exist	O
,	O
e.g.	O
</s>
<s>
Then	O
,	O
daughter-models	O
are	O
created	O
and	O
fitted	O
to	O
the	O
data	O
,	O
preferably	O
using	O
batch	O
processing	O
strategies	O
based	O
on	O
MATLAB	B-Language
scripts	O
.	O
</s>
<s>
As	O
a	O
starting	O
point	O
to	O
envision	O
suitable	O
model	O
variants	O
,	O
the	O
PottersWheel	B-Application
equalizer	O
may	O
be	O
used	O
to	O
understand	O
the	O
dynamic	O
behavior	O
of	O
the	O
original	O
system	O
.	O
</s>
<s>
In	O
PottersWheel	B-Application
non-identifiability	O
can	O
be	O
detected	O
using	O
the	O
Profile	O
Likelihood	O
Approach	O
.	O
</s>
<s>
For	O
characterizing	O
functional	O
relationships	O
between	O
the	O
non-identifiable	O
parameters	O
PottersWheel	B-Application
applies	O
random	O
and	O
systematic	O
fit	O
sequences	O
.	O
</s>
