In general for those complex scenarios whose dynamics can by described by reaction-diffusion models

Despite the simple and specific chemical nature of our model, we expect the qualitative result to hold for similar non-chemical systems such as certain fluid systems. There, cycles of spot replication and destruction could be used to engineer transitions between out-of-equilibrium states. For example, splitting of turbulent stripes is dominant for large Reynolds numbers in plane Couette flow, while for low Reynolds numbers stripe decay is favored. While the specifics in that system are different from our model, analogous to the role played by the feedrate, we hypothesize that it could be possible to control the number of stripes through switching of the Reynolds number. As perspectives for future work we mention the possibility to engineer the system by modulating the feed-rate in time, using a self-generated signal that can use the splitting/disappearance pathways. Furthermore, transitions between spot arrays with different n can be also induced by application of noise. However, the realization of these ideas goes beyond the scope of this article. In the spirit of simplicity, tractability and clarity, we have focused on a medium with one spatial dimension. Obviously, the dynamics of localized spots and Turing AbMole Folic acid patterns is much richer in two space dimensions. However, we expect that that the main result of this study holds qualitatively also for two-dimensional spot arrays. However, more then 80% of AbMole Pamidronate disodium pentahydrate patients are diagnosed on the basis of very small biopsies or cytology samples. While the tumor tissue for multiple biomarker testing is permanently increasing on one hand, the size of tissue samples on the other hand is rather decreasing with the advent of new minimal invasive diagnostic tools such as endobronchial ultrasound guided needle aspiration. Given the small sample sizes obtained by routine lung cancer diagnostic procedures, tissue may already be expended after histopathological evaluation of the tumor and testing for EGFR mutation. Cytological samples obtained by EBUS have often been claimed as insufficient for molecular testing, especially in clinical trials and for research purposes. The main sources for tissue in advanced lung cancers are bronchoscopic forceps biopsies, CT-guided core biopsies and EBUS-TBNA. The aim of this study was to compare these three sampling methods with respect to the yield of extractable RNA for molecular testing in routinely performed diagnostic procedures of lung cancer patients. To avoid various degrees of RNA degradation by the process of fixation and paraffin embedding, we used a method for tissue banking of diagnostic lung cancer biopsies recently reported by Lawson et al. This method provides RNA of better quality compared to fresh frozen tissue and can be applied very easily in a routine clinical setting.