Systems Biology (Methods in Molecular Biology)

The resultant “mutated” or “synthetic” bacteria culture repro- duced the predicted oscillatory dynamics of the model (Fig.9b). T ...

4 Stability Consideration Most often, biological network models that attempt to understand any particular cellular process requi ...

deterministically and stably. Otherwise, the host will lose its battle against attacks and their species will not survive for ma ...

Determinant, i.e., det (J-λI), of Eq.29, and setting it to zero to solve forλs: det k 1 λ 00 k 1 k 2 λ 0 0 k 2 k 3 λ 2 4 3 ...

J¼ ∂F 1 ∂X 1  ∂F 1 ∂Xn ⋮⋱⋮ ∂Fn ∂X 1  ∂Fn ∂Xn 2 6 6 6 4 3 7 7 7 5 Solving the determinant of this Jacobian will provide the ...

Fig. 11Brusselator simulations and phase-space plots of model, (a) in Fig.7a,(b) in Fig.7b,(c) withB¼1.95, (d) withB¼2.2. All ot ...

5 Reaction-Diffusion Models So far, we have considered only temporal biochemical reaction systems that can generate complex dyna ...

The best-known theory used to study self-organized pattern formation in biology is the Alan Turing’s reaction-diffusion equa- ti ...

Turing patterns have also been generated using the Brusse- lator equations for the reaction terms [38]. Thus, depending on the f ...

Fig. 14 Stochastic and bursting gene (mRNA) expression produces variable protein expressions. Figure adapted from [43] Complex B ...

of transcription and translation of a bacterial protein, it is now known that increasing transcriptional, and not translational, ...

Fig. 15(a) Gene expression distribution between two single cells (left), Pearson correlations (top right), and Shannon entropy ( ...

7 Summary It has been discussed for a long time whether living systems can be mathematically conceptualized using simple theorie ...

Piras V, Hayashi K, Tomita M, Selvarajoo K (2011) Enhancing apoptosis in TRAIL- resistant cancer cells using fundamental respon ...

Chapter 10 Systems Biology Modeling of Nonlinear Cancer Dynamics Christian Cherubini, Simonetta Filippi, and Alessandro Loppini ...

[5, 6]. The lowest common denominator of all of these systems is that they all belong to the realm of non-equilibrium thermody- ...

too different, and different was the technical language that scien- tists were using to describe the same phenomenon. In short, ...

Cancer initiation appears to be a phenomenon which involves some regulatory genes, which can either enhance or inhibit tumor lev ...

Each of these has its specific advantage and limitations and must be carefully chosen depending on the particular problem that o ...

∂c ∂t ¼FcðÞþD ∂^2 c ∂x^2 þ ∂^2 c ∂y^2 þ ∂^2 c ∂z^2  whereDis the (effective) homogeneous and isotropic diffusion coefficient r ...