Identificación escasa de las ecuaciones de gobierno en sistemas de motivación biológica
Contact us if these videos are not relevant.
Contact us if these videos are not relevant.
Ver abstracta en PubMed
Resumen
Este resumen es generado por máquina.Un nuevo marco IRK-SINDy utiliza métodos implícitos de Runge-Kutta para identificar de manera robusta las ecuaciones rectoras a partir de datos escasos y ruidosos. Este enfoque basado en datos mejora el descubrimiento de modelos en sistemas físicos y biológicos complejos.
Área De La Ciencia
- Teoría de los sistemas dinámicos
- Física computacional
- La bioinformática
Sus Antecedentes
- Descubrir ecuaciones de gobierno a partir de datos es crucial para la comprensión científica.
- Los métodos tradicionales como SINDy luchan con conjuntos de datos ruidosos o limitados.
- La sensibilidad de aproximación derivada dificulta la solidez de las técnicas existentes.
Objetivo Del Estudio
- Introducir un nuevo marco basado en datos, IRK-SINDy, para el descubrimiento de ecuaciones robustas.
- Mejorar la identificación de sistemas dinámicos bajo la escasez de datos y el ruido.
- Mejorar la interpretabilidad y generalización de los modelos descubiertos.
Principales Métodos
- Integrar los métodos implícitos de Runge-Kutta de alto orden (IRK) con una identificación escasa.
- Emplear esquemas iterativos y redes neuronales profundas para la integración de IRK.
- Validar el marco para diversos sistemas dinámicos de referencia.
Principales Resultados
- IRK-SINDy demuestra una robustez superior frente a la escasez de datos y el ruido en comparación con SINDy y RK4-SINDy.
- La estabilidad A de los IRK permite menos limitaciones de tamaño de paso, mejorando el rendimiento.
- Identificación exitosa de las ecuaciones de gobierno en varios modelos lineales, no lineales y biológicos.
Conclusiones
- IRK-SINDy ofrece un avance significativo en el descubrimiento científico basado en datos.
- El marco proporciona una identificación confiable de la ecuación incluso en condiciones de datos difíciles.
- Este método allana el camino para un modelado más preciso en sistemas complejos.
Contact us Si estos videos no son relevantes.
Contact us Si estos videos no son relevantes.
Videos de Conceptos Relacionados
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...