The landscape and flux theory for biological networks | 5049
Current Synthetic and Systems Biology

Current Synthetic and Systems Biology
Open Access

ISSN: 2332-0737


The landscape and flux theory for biological networks

International Conference on Synthetic Biology

September 28-29, 2015 Houston, USA

Jin Wang

Stony Brook University, USA

Posters-Accepted Abstracts: Curr Synthetic Sys Biol

Abstract :

We developed a landscape and flux theory for biological networks. We identify the two global driving forces for biological network. One is the gradient of the underlying landscape and the other is from the curl flux. The underlying landscape is linked to the steady state probability distribution and provides a global picture for describing the networks. We found that the landscape can be used to quantify the global stability and robustness of the system. The non-zero flux breaks the detailed balance and therefore gives a quantitative measure of how far away the system is from the equilibrium state, reflecting the degree of the energy input to the system. Our decomposition of the driving forces of the complex systems into landscape gradient and curl flux establishes the link between the dynamics and the underlying thermodynamic non-equilibrium natures. We applied our theory to several biological systems such as cell cycle, stem cell differentiation and reprograming, cancer. For cell cycle oscillations, we found the underlying landscape has a Mexican hat ring shape topology. The height of the center island Mexican hat determines the global stability. The landscape gradient attracts the system down to the oscillation ring. The curl flux is the driving force for coherent oscillation on the ring. Along the cell cycle oscillation ring there are a few basins of attractions which can be identified and quantitatively described as the G1, SG2 and M phases. The barriers between these local basins become the check points of the cell cycle. The speed of the cycle is determined by the flux originated from nutrition and the barriers at the check points between the basins. Global sensitivity analysis on these two global factors gives us information on key genes and regulations determining the function. From this, new anti-cancer strategy can be designed aiming at reducing the speed of the cell cycle. We also applied our landscape and flux theory to stem cell differentiation and development. We quantify the Waddington landscape for differentiation and identify the stem cell and differentiation basins of attractions. We quantify the differentiation and reprograming path for a human embryonic stem cell network and identify the key genes and regulations. We also constructed a cancer gene network and quantify the landscape for cancer where we identify the normal, cancer and apoptosis basins of attractions. We quantify the major pathways of cancerization and identify the key genes and regulations responsible.

Biography :