The Gaussian network model (GNM) is a representation of a biological macromolecule as an elastic mass-and-spring network to study, understand, and characterize the mechanical aspects of its long-time large-scale dynamics. The model has a wide range of applications from small proteins such as enzymes composed of a single domain, to large macromolecular assemblies such as a ribosome or a viral capsid. Protein domain dynamics plays key roles in a multitude of molecular recognition and cell signalling processes.Protein domains, connected by intrinsically disordered flexible linker domains, induce long-range allostery via protein domain dynamics.The resultant dynamic modes cannot be generally predicted from static structures of either the entire protein or individual domains.
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| - Gaußsche Vektoren (de)
- Gaussian network model (en)
- 高斯网络模型 (zh)
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| - 高斯网络模型是将生物大分子描述成一种伸缩性的弹簧网络来进行研究,理解,或描述大范围内动力学的力学特性。 高斯网络模型是一种研究生物分子的简化模型。在其中,氨基酸用其alpha碳原子替代,视作一个节点。类似的,在DNA和RNA中,每个核苷酸用一到三个节点来表示。在这个模型中节点之间的相互作用用同一种模式来近似(当距离低于某值时视作一个弹簧)。这种近似使该模型易于计算。 (zh)
- Die Gaußschen Vektoren dienen in der Astronomie und in der Raumfahrt als Spaltenvektoren einer Matrix als Hilfe zur Koordinatentransformation zwischen Koordinaten des rotierenden äquatorialen Koordinatensystems und Koordinaten der Bahnebene. Mit ihnen ist ein eindeutiger Bezug zwischen den Koordinaten eines Himmelskörpers auf seiner Bahn um einen Planeten und der Lage im raumfesten rotierenden äquatorialen Koordinatensystem gegeben.Mit Hilfe der 3 Bahnelemente Inklination , dem Argument des Knotens (Knotenlänge) und dem Argument der Periapsis können die 3 Einheitsvektoren , und gebildet werden. (de)
- The Gaussian network model (GNM) is a representation of a biological macromolecule as an elastic mass-and-spring network to study, understand, and characterize the mechanical aspects of its long-time large-scale dynamics. The model has a wide range of applications from small proteins such as enzymes composed of a single domain, to large macromolecular assemblies such as a ribosome or a viral capsid. Protein domain dynamics plays key roles in a multitude of molecular recognition and cell signalling processes.Protein domains, connected by intrinsically disordered flexible linker domains, induce long-range allostery via protein domain dynamics.The resultant dynamic modes cannot be generally predicted from static structures of either the entire protein or individual domains. (en)
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| - Die Gaußschen Vektoren dienen in der Astronomie und in der Raumfahrt als Spaltenvektoren einer Matrix als Hilfe zur Koordinatentransformation zwischen Koordinaten des rotierenden äquatorialen Koordinatensystems und Koordinaten der Bahnebene. Mit ihnen ist ein eindeutiger Bezug zwischen den Koordinaten eines Himmelskörpers auf seiner Bahn um einen Planeten und der Lage im raumfesten rotierenden äquatorialen Koordinatensystem gegeben.Mit Hilfe der 3 Bahnelemente Inklination , dem Argument des Knotens (Knotenlänge) und dem Argument der Periapsis können die 3 Einheitsvektoren , und gebildet werden. zeigt vom Zentrum des Planeten zum Perizentrum der Bahn des Himmelskörpers, zeigt vom Planetenzentrum in Richtung der wahren Anomalie bei 90° und steht senkrecht auf beiden Vektoren. Dabei definieren die 3 Vektoren das System der Bahnebene des Himmelskörpers und sind die Spaltenvektoren der Matrix . Über den Ausdruck können die drei Vektoren , und des rotierenden äquatorialen Koordinatensystems wiedergegeben werden, wobei die wahre Anomalie ist. (de)
- The Gaussian network model (GNM) is a representation of a biological macromolecule as an elastic mass-and-spring network to study, understand, and characterize the mechanical aspects of its long-time large-scale dynamics. The model has a wide range of applications from small proteins such as enzymes composed of a single domain, to large macromolecular assemblies such as a ribosome or a viral capsid. Protein domain dynamics plays key roles in a multitude of molecular recognition and cell signalling processes.Protein domains, connected by intrinsically disordered flexible linker domains, induce long-range allostery via protein domain dynamics.The resultant dynamic modes cannot be generally predicted from static structures of either the entire protein or individual domains. The Gaussian network model is a minimalist, coarse-grained approach to study biological molecules. In the model, proteins are represented by nodes corresponding to α-carbons of the amino acid residues. Similarly, DNA and RNA structures are represented with one to three nodes for each nucleotide. The model uses the harmonic approximation to model interactions. This coarse-grained representation makes the calculations computationally inexpensive. At the molecular level, many biological phenomena, such as catalytic activity of an enzyme, occur within the range of nano- to millisecond timescales. All atom simulation techniques, such as molecular dynamics simulations, rarely reach microsecond trajectory length, depending on the size of the system and accessible computational resources. Normal mode analysis in the context of GNM, or elastic network (EN) models in general, provides insights on the longer-scale functional dynamic behaviors of macromolecules. Here, the model captures native state functional motions of a biomolecule at the cost of atomic detail. The inference obtained from this model is complementary to atomic detail simulation techniques. Another model for protein dynamics based on elastic mass-and-spring networks is the Anisotropic Network Model. (en)
- 高斯网络模型是将生物大分子描述成一种伸缩性的弹簧网络来进行研究,理解,或描述大范围内动力学的力学特性。 高斯网络模型是一种研究生物分子的简化模型。在其中,氨基酸用其alpha碳原子替代,视作一个节点。类似的,在DNA和RNA中,每个核苷酸用一到三个节点来表示。在这个模型中节点之间的相互作用用同一种模式来近似(当距离低于某值时视作一个弹簧)。这种近似使该模型易于计算。 (zh)
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