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However, a so-called semiquantitative model reproduces the processes somewhat more
accurately. Starting from the Boolean network, differential equations, e.g. exponential
functions, are linked in such a way that they reproduce this logic, but by means of the
mathematical transformation between the completely switched-on or switched-off state,
they lay a compensation curve (“interpolate”). In order to reproduce the logic in the net
work correctly, the software SQUAD, for example, creates chained exponential terms
(uses exponential function), which also take into account the “and”, “or” and “not”. It
reads networks written with CellDesigner e.g. as SBML format and requires a Windows
XP or Linux operating system. These limitations no longer apply to the Jimena software
(Karl and Dandekar 2013a). It runs platform-independently using Java and can read YeD
files, among others, but also various versions of CellDesigner. Surprisingly, this way I also
get all order relations in the model correctly, i.e. which receptor is excited before which
one and which link in a signal chain is activated earlier or later. In most cases, the mole
cules close to the receptor are excited first, followed by the later, mediating proteins. If the
topology (structure) of the model provides for a feedback loop, this can then return the
signal to the beginning of the signal chain, either inhibiting (negative feedback) or activat
ing (positive feedback, sometimes also called “feedforward loop”).
This brings us to another important point. The software can only simulate correctly
what is also reproduced correctly in the network. This means that a period of constant test
ing and trial and error begins until the simulation reproduces the correct sequence of
events in this signal network as faithfully as possible.
Since this is a semi-quantitative model, the next step is to normalize the different units
of the model according to the experimental data. This means that the typical times of the
signal cascade, receptor excitation, phosphorylation of kinases, etc. are determined
(so-called data-driven modeling). Hundreds of biological problems have already been
simulated in this way in recent years. The Boolean semiquantitative model is therefore
quite popular in biology, because one can begin to describe the biological system with
relatively little information, and then step by step learn more and more about the model
through simulations and experiments.
If so much data is put into the model, one can of course wonder what new insights the
model can bring out. But it is the case that a few experiments are sufficient to normalize
the model and to qualitatively confirm the correctness of all links (correct stimulus
response and sequence). With the model, I can now predict the outcome for all times and
all signal and switching sequences that are possible in the network.
For example, we used this approach to simulate the behavior of lung carcinoma
(Stratmann et al. 2014; Göttlich et al. 2016a) and colon carcinoma cells (Baur et al. 2019)
and then tested through new combinations and options for therapies in addition to standard
therapies.
With regard to the Erk signaling network, the interesting thing was that through the
bioinformatic model we can mimic new approaches to treating heart failure (Brietz et al.
2016a), such as the negative feedback loop through Rkip or the approach of using
5 Systems Biology Helps to Discover Causes of Disease