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Mathematics and physics
- In theoretical physics, a matrix model is a system (usually a quantum mechanical system) with matrix-valued physical quantities. See, for example, Lax pair.
- The "old" matrix models are relevant for string theory in two spacetime dimensions. The "new" matrix model is a synonym for Matrix theory.
- A concept from Algebraic logic.
- Matrix population models are used to model wildlife and human population dynamics.
- The Matrix Model of substance abuse treatment is a model developed by the Matrix Institute on Addictions in the 1980s to treat cocaine and methamphetamine addiction.
- Protein complexes: A matrix model of protein complexes (unrealistically) predicts that all proteins in a complex interact with all other proteins. Mathematically, a matrix model of a protein complex is a complete graph.
Management and economics
- The term "Matrix model" is used to describe Matrix management where each worker in an organisation has two managers, one "functional": managing their expertise, the other "executive": managing their work on a project.
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