Cellular Automata With Object-Oriented Features for Parallel Molecular Network Modeling

The spatiotemporal order of signaling events unveils the logic of development signaling

Motivation: Animals from worms and insects to birds and mammals show distinct body plans; however, the embryonic development of diverse body plans with tissues and organs within is controlled by a surprisingly few signaling pathways. It is well recognized that combinatorial use of and dynamic interactions among signaling pathways follow specific logic to control complex and accurate developmental signaling and patterning, but it remains elusive what such logic is, or even, what it looks like.

Results: We have developed a computational model for Drosophila eye development with innovated methods to reveal how interactions among multiple pathways control the dynamically generated hexagonal array of R8 cells. We obtained two novel findings. First, the coupling between the long-range inductive signals produced by the proneural Hh signaling and the short-range restrictive signals produced by the antineural Notch and EGFR signaling is essential for generating accurately spaced R8s. Second, the spatiotemporal orders of key signaling events reveal a robust pattern of lateral inhibition conducted by Ato-coordinated Notch and EGFR signaling to collectively determine R8 patterning. This pattern, stipulating the orders of signaling and comparable to the protocols of communication, may help decipher the well-appreciated but poorly defined logic of developmental signaling.

Availability and implementation: The model is available upon request.

Contact:hao.zhu@ymail.com

Supplementary information:Supplementary data are available at Bioinformatics online.

Robustness of cell cycle control and flexible orders of signaling events

The highly robust control of cell cycles in eukaryotes enables cells to undergo strictly ordered G1/S/G2/M phases and respond adaptively to regulatory signals; however the nature of the robustness remains obscure. Specifically, it is unclear whether events of signaling should be strictly ordered and whether some events are more robust than others. To quantitatively address the two questions, we have developed a novel cell cycle model upon experimental observations. It contains positive and negative E2F proteins and two Cdk inhibitors, and is parameterized, for the first time, to generate not only oscillating protein concentrations but also periodic signaling events. Events and their orders reconstructed under varied conditions indicate that proteolysis of cyclins and Cdk complexes by APC and Skp2 occurs highly robustly in a strict order, but many other events are either dispensable or can occur in flexible orders. These results suggest that strictly ordered proteolytic events are essential for irreversible cell cycle progression and the robustness of cell cycles copes with flexible orders of signaling events, and unveil a new and important dimension to the robustness of cell cycle control in particular and to biological signaling in general.

The systems view in addiction research

The wealth of information accessible on the molecular level after completion of sequencing of the human and other genomes and in conjunction with new high-throughput technologies like microarrays has paved the way for research on whole systems rather than on single components. Here we describe exemplarily the construction of a rather complex molecular network involved in alcohol addiction by using information from DNA-microarray studies in alcohol-dependent animals. In this network, haemoglobin downregulation in different parts of the brain reward system plays a central role in affecting synaptic plasticity, circadian rhythmicity and opioid receptors. Furthermore, we discuss the dynamic aspect of biological systems with respect to repeated and intermittent drug intake. This aspect can best be captured by the allostatic model on the molecular level. Using a molecular oscillator model where levels of oscillations are changed by repetitive drug administration, changes in set point adjustment are described that underlay allostatic shifts in drug reinforcement processes.

Transient block of receptor may be a mechanism controlling unidirectional propagation of signaling

In tissue development, juxtacrine signaling often propagates across cells, carrying and delivering temporal and spatial information for cells to make correct patterning. Observed complex and accurate tissue patterning indicates that signaling propagation via ligand-receptor interactions is precisely controlled. It is important and interesting to reveal the possible control mechanisms. The directionality of signaling in cells, which is a common issue for all intercellular signaling pathways, is a critical aspect. To understand the propagation of Notch signaling in presomitic mesoderm cells in the mouse, a novel method is used to build a multicellular model to simulate Notch signaling. Simulation reveals that the transient block of Notch by Notch induced Lfng and the delayed removal of the block by another Notch induced protein Hes7 may explain the observed unidirectional propagation of Notch signaling in these cells. Both mutation in and overexpression of lfng cause the same signaling profile in the tissue, due to the inappropriate timing of Notch signaling block by Lfng. The reverse Notch/Delta signaling quickly develops into reciprocating signaling among cells, causing irregular expression of cyclic genes. Irregular Notch signaling in cells would change their response to the positional information provided by the Fgf8 gradient, resulting in disordered and irregular somite segmentation. As Notch signaling is highly conserved, we hypothesize that the mechanism of controlling unidirectional propagation of signaling in cells by transient receptor block may exist in other tissues and in other vertebrates. Our simulation results also suggest that segmentation clock and unidirectional propagation may be inherently coupled in Notch signaling.