Network Variability

Network variability is the capacity of a biological network to change its components, connections, or interaction strengths across time, individuals, or environmental conditions. In cellular and organismal systems, variability arises when gene expression, signaling activity, or molecular interactions alter network topology and edge weights, enabling different responses to the same stimulus. Studying these changes helps researchers distinguish stable network features from context-dependent behavior in regulatory, metabolic, and neural systems. Network variability is important for understanding development, adaptation, disease progression, and treatment response, while network analysis and time-resolved measurements can reveal how biological systems maintain function despite changing internal and external conditions.

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JoVE Core - Molecular Biology

Protein Networks

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2020

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions. These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...

Variables and Equations of State

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2026

The physical state of a pure substance can be defined by certain state variables such as volume (V), pressure (p), temperature (T), and amount of substance (n). When two gases are separated by a movable wall, the gas with the higher pressure naturally compresses the gas with the lower pressure. This causes the high-pressure gas to expand and the low-pressure gas to compress until both gases achieve mechanical equilibrium. At this point, their pressures equalize, and the movement of the wall...

Functions of Three or More Variables

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2026

A function of three variables assigns a single real number to each point in three-dimensional space. Every point is identified by its Cartesian coordinates, x, y, and z, and the function maps this ordered triple to a scalar value. Such functions are commonly used to describe physical quantities that vary throughout space.A representative example is the electric potential generated by a point charge. In this case, the potential at a given location depends only on the distance from the charge. If...

Variable Costs

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2026

Variable costs are business costs that change directly with the level of production or output.Unlike fixed costs, such as rent, which remain constant regardless of production volume, variable costs increase or decrease with changes in production volume.Examples of variable costs include raw materials, packaging, and overtime labor, all of which vary according to the quantity of goods or services produced.When production increases, total variable costs rise because more resources and labor are...

Network Covalent Solids

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2020

Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds. To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...

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