The Hill function is a sigmoidal function that is commonly used to describe the relationship between the concentration of a ligand and the response of a biological system. The function is named after its discoverer, Archibald V. Hill. What are the key characteristics of a hill function?

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The Hopf bifurcation is a phenomenon observed in dynamical systems when a stable equilibrium point undergoes a critical change and transitions into a state of oscillation. In simpler terms, it describes how a system can abruptly shift from a steady state to one where it exhibits periodic fluctuation...

The Lotka-Volterra model is a mathematical tool used in ecology to describe the dynamics of two interacting populations: prey and predator. Developed by Alfred Lotka and Vito Volterra, it uses a system of differential equations to depict how these populations fluctuate over time. What are the key fe...

Event-based models (EBMs) are a type of computer simulation that describes the dynamics of a system through discrete events. In contrast to traditional mathematical models that model continuous changes in time, EBMs focus on the moments at which significant changes in the system occur. What are the ...

Partial differential equations (PDEs) are mathematical equations that describe relationships between functions of multiple variables and their partial derivatives. In theoretical biology, PDEs are used to model dynamic processes that occur in space and time, such as population growth, disease spread...

Individual based models (IBMs) are a type of computer simulation that models the behavior of individuals in a population. Unlike traditional mathematical models, which view populations as homogeneous groups, IBMs take into account the unique characteristics and behavior of each individual. What are ...

Cellular automata are discrete dynamical systems that consist of a regular grid of cells. Each cell has a finite number of states, and the state of a cell changes over time according to a set of rules that depend on the states of the cell and its neighbors. What are key features of cellular automata...

Econometrics is the branch of economics that applies statistical methods and data analysis to test economic theories and quantify economic relationships. It acts as a bridge between abstract economic models and the real-world complexities observed through data. Here's a breakdown of this crucial fie...