TECHNIQUES FOR DETERMINING THE EFFECTS ON A SYSTEM OF A COMPONENT THAT HAS FOUR STATES
    2.
    发明申请
    TECHNIQUES FOR DETERMINING THE EFFECTS ON A SYSTEM OF A COMPONENT THAT HAS FOUR STATES 失效
    确定有四个组成部分的系统的影响的技术

    公开(公告)号:US20110098935A1

    公开(公告)日:2011-04-28

    申请号:US12971375

    申请日:2010-12-17

    申请人: Lawrence Goldman

    发明人: Lawrence Goldman

    IPC分类号: G06F19/00

    CPC分类号: G06F19/12

    摘要: Techniques for determining effects on a biological system include determining rate constants for a particular time interval starting at an initial time. Each rate constant indicates a rate of transition from one of four states to a different one of the four states for a component of a biological system in presence of an external factor. A temporal change in a probability that the component is in a particular state after the initial time is determined without numerical iteration over multiple time steps. This includes determining three relaxation time constants that describe exponential changes based on the rate constants. The effect of the external factor on the biological system is determined based on the temporal change in the probability that the component is in the particular state. The probability at an arbitrary time is determined based on the rate constants and initial probabilities.

    摘要翻译: 用于确定对生物系统的影响的技术包括确定从初始时间开始的特定时间间隔的速率常数。 每个速率常数表示在存在外部因素的情况下,对于生物系统的组件的四种状态中的一种状态向四种状态中的一种状态的转变的速率。 在初始时间之后组件处于特定状态的概率的时间变化在多个时间步长上被确定而不进行数值迭代。 这包括确定基于速率常数描述指数变化的三个弛豫时间常数。 基于组件处于特定状态的概率的时间变化来确定外部因素对生物系统的影响。 根据速率常数和初始概率确定任意时间的概率。

    Techniques for Determining the Effects on a System of a Component that has Four States
    3.
    发明申请
    Techniques for Determining the Effects on a System of a Component that has Four States 失效
    确定对具有四个国家的组件系统的影响的技术

    公开(公告)号:US20070288215A1

    公开(公告)日:2007-12-13

    申请号:US11687635

    申请日:2007-03-17

    申请人: Lawrence Goldman

    发明人: Lawrence Goldman

    IPC分类号: G06G7/60

    CPC分类号: G06F19/12

    摘要: Techniques for determining effects on a biological system include determining rate constants for a particular time interval starting at an initial time. Each rate constant indicates a rate of transition from one of four states to a different one of the four states for a component of a biological system in presence of an external factor. A temporal change in a probability that the component is in a particular state after the initial time is determined without numerical iteration over multiple time steps. This includes determining three relaxation time constants that describe exponential changes based on the rate constants. The effect of the external factor on the biological system is determined based on the temporal change in the probability that the component is in the particular state. The probability at an arbitrary time is determined based on the rate constants and initial probabilities.

    摘要翻译: 用于确定对生物系统的影响的技术包括确定从初始时间开始的特定时间间隔的速率常数。 每个速率常数表示在存在外部因素的情况下,对于生物系统的组件的四种状态中的一种状态向四种状态中的一种状态的转变的速率。 在初始时间之后组件处于特定状态的概率的时间变化在多个时间步长上被确定而不进行数值迭代。 这包括确定基于速率常数描述指数变化的三个弛豫时间常数。 基于组件处于特定状态的概率的时间变化来确定外部因素对生物系统的影响。 根据速率常数和初始概率确定任意时间的概率。

    Techniques for determining the effects on a system of a component that has four states
    4.
    发明授权
    Techniques for determining the effects on a system of a component that has four states 失效
    用于确定对具有四个状态的组件的系统的影响的技术

    公开(公告)号:US07881877B2

    公开(公告)日:2011-02-01

    申请号:US11687635

    申请日:2007-03-17

    申请人: Lawrence Goldman

    发明人: Lawrence Goldman

    CPC分类号: G06F19/12

    摘要: Techniques for determining effects on a biological system include determining rate constants for a particular time interval starting at an initial time. Each rate constant indicates a rate of transition from one of four states to a different one of the four states for a component of a biological system in presence of an external factor. A temporal change in a probability that the component is in a particular state after the initial time is determined without numerical iteration over multiple time steps. This includes determining three relaxation time constants that describe exponential changes based on the rate constants. The effect of the external factor on the biological system is determined based on the temporal change in the probability that the component is in the particular state. The probability at an arbitrary time is determined based on the rate constants and initial probabilities.

    摘要翻译: 用于确定对生物系统的影响的技术包括确定从初始时间开始的特定时间间隔的速率常数。 每个速率常数表示在存在外部因素的情况下,对于生物系统的组件的四种状态中的一种状态向四种状态中的一种状态的转变的速率。 在初始时间之后组件处于特定状态的概率的时间变化在多个时间步长上被确定而不进行数值迭代。 这包括确定基于速率常数描述指数变化的三个弛豫时间常数。 基于组件处于特定状态的概率的时间变化来确定外部因素对生物系统的影响。 根据速率常数和初始概率确定任意时间的概率。

    Techniques for determining the effects on a system of a component that has four states
    5.
    发明授权
    Techniques for determining the effects on a system of a component that has four states 失效
    用于确定对具有四个状态的组件的系统的影响的技术

    公开(公告)号:US08180577B2

    公开(公告)日:2012-05-15

    申请号:US12971375

    申请日:2010-12-17

    申请人: Lawrence Goldman

    发明人: Lawrence Goldman

    IPC分类号: G01N31/00 G01N33/48 C12Q3/00

    CPC分类号: G06F19/12

    摘要: Techniques for determining effects on a biological system include determining rate constants for a particular time interval starting at an initial time. Each rate constant indicates a rate of transition from one of four states to a different one of the four states for a component of a biological system in presence of an external factor. A temporal change in a probability that the component is in a particular state after the initial time is determined without numerical iteration over multiple time steps. This includes determining three relaxation time constants that describe exponential changes based on the rate constants. The effect of the external factor on the biological system is determined based on the temporal change in the probability that the component is in the particular state. The probability at an arbitrary time is determined based on the rate constants and initial probabilities.

    摘要翻译: 用于确定对生物系统的影响的技术包括确定从初始时间开始的特定时间间隔的速率常数。 每个速率常数表示在存在外部因素的情况下,对于生物系统的组件的四种状态中的一种状态向四种状态中的一种状态的转变的速率。 在初始时间之后组件处于特定状态的概率的时间变化在多个时间步长上被确定而不进行数值迭代。 这包括确定基于速率常数描述指数变化的三个弛豫时间常数。 基于组件处于特定状态的概率的时间变化来确定外部因素对生物系统的影响。 根据速率常数和初始概率确定任意时间的概率。