| 摘要 |
Systems, methods, and devices are provided to facilitate non-mechanistic, differential-equation-free approaches to predict a response of a system to a given input, wherein the response is defined in terms of at least one property of the system and at least one property of the input. The systems, methods, and devices provide the ability to (i) reduce the cost of research and development by offering an accurate modeling of heterogeneous and complex physical systems; (ii) reduce the cost of creating such systems and methods by simplifying the modeling process; (iii) accurately capture and model inherent nonlinearities in cases where sufficient knowledge does not exist to a priori build a model and its parameters; and, (iv) provide one-to-one relationships between model parameters and model outputs, addressing the problem of the ambiguities inherent in the current, state-of-the-art systems and methods. |
| 主权项 |
1. A non-compartmental method of predicting a time-dependent response of a component of a system to an input into the system, wherein the response is defined in terms of at least one property of the system and at least one property of the input, the method comprising:
selecting the system, the at least one property of the system, the component, the input to the system, the at least one property of the input, and the time-dependent response; wherein,
the input to the system includes a test input and a set of actual inputs, each input in the set having the at least one property of the input; and,the time-dependent response includes a test response and a set of time-dependent actual responses; obtaining the set of time-dependent actual responses of the component to the set of actual inputs; using the set of actual inputs, the at least one property of the input, the at least one property of the system, and the set of time-dependent actual responses to provide a non-compartmental model for predicting the test response to the at least one property of the test input, the model comprising the formulaC(t)=[M00+M01(kernel)1+…+M0s(kernel)s]+[M10+M11(kernel)1+…+M1s(kernel)s]{1--[N10+N11(kernel)1+…+N1s(kernel)s](t-tmin)1+(K-2)-[N10+N11(kernel)1+…+N1s(kernel)s](t-tmin)}+…+[Mn0+Mn1(kernel)1+…+Mns(kernel)s]{1--[Nn0+Nn1(kernel)1+…+Nns(kernel)s](t-tmin)1+(K-2)-[Nn0+Nn1(kernel)1+…+Nns(kernel)s](t-tmin)}(1) wherein,(M00, M01 . . . , M0s), (M10, M11, . . . , M1s), . . . , and (Mn0, Mn1, . . . , Mns) are overall scaling parameters;(N10, N11, . . . , N1s), . . . , and (Nn0, Nn1, . . . , Nns) are exponential scaling parameters;n ranges from 1 to 4;s is the total number of system and input properties used in the model;tmin is the minimum time value from all the data points;K is an overall shifting parameter; and,C(t) is the time-dependent response to the test input at time t;and,(kernel)p≡1--αp(vp-vpmin)1+(Kp-2)-αp(vp-vpmin); wherein, p is the p'th system or input property; vp is the value of property p; vpmin is the minimum value of all the vp values; Kp is a shifting parameter related to property p; and, αp is shifting and scaling parameter related to property p; and, using the model to obtain the time-dependent test response to the at least one property of the test input; the using including obtaining a device comprising:
a processor;a database on a non-transitory computer readable medium for storing a set of modeling data, the set of data including the at least one property of the system, the component, the input to the system, the at least one property of the input, and the time-dependent response;an enumeration engine on a non-transitory computer readable medium to parameterize the non-compartmental model from the set of modeling data for predicting the test response to the at least one property of the test input;and,a transformation module on a non-transitory computer readable medium to transform the at least one property of the test input into the time-dependent response data using the non-compartmental model. |
