[MS13] Mathematical Modeling and Computing in Epidemiology

[MS13-05] Understanding dynamical bio-networks: The matter of nonlinear feedbacks

Bo-Wei Qin¹, *Yixuan Gao¹, Wei Lin¹ (1. Fudan University (China))

Keywords:

Complex systems,Mathematical modeling,Nonlinear couplings

Regulatory interactions among individual components are fundamental mechanisms for function realization and evolution in biophysical systems. Modeling typical regulations rigorously is crucial for accurately replicating the experimentally observed dynamics and comprehensively understanding the resulting emergent biophysical phenomenon. When multiple regulations act on a single component, they can be modeled using different functional forms. In this talk, we will discuss the fundamental difference across the three modes of the most frequently used but elementary functions. Their biophysical mechanisms will be demonstrated in representative bio-networks. We will also present a universal order of those functions based on their regulatory strengths. Our findings are validated in representative systems including epidemic models and social networks that are tightly related to epidemiology. Our findings offer a potential criteria for the appropriate utilization of the regulatory functions for future mathematical modeling in biology.