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gaussian function of the matlab curve fitting tool  (MathWorks Inc)


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    MathWorks Inc gaussian function of the matlab curve fitting tool
    A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a <t>Gaussian</t> function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.
    Gaussian Function Of The Matlab Curve Fitting Tool, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/result/gaussian function of the matlab curve fitting tool/product/MathWorks Inc
    Average 90 stars, based on 1 article reviews
    gaussian function of the matlab curve fitting tool - by Bioz Stars, 2026-03
    90/100 stars

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    1) Product Images from "MatBED_B&C: A 3-dimensional biologically effective dose analytic approach for the retrospective study of gamma knife radiosurgery in a B&C model"

    Article Title: MatBED_B&C: A 3-dimensional biologically effective dose analytic approach for the retrospective study of gamma knife radiosurgery in a B&C model

    Journal: MethodsX

    doi: 10.1016/j.mex.2023.102320

    A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a Gaussian function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.
    Figure Legend Snippet: A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a Gaussian function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.

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    gaussian function of the matlab curve fitting tool  (MathWorks Inc)
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    MathWorks Inc gaussian function of the matlab curve fitting tool
    A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a <t>Gaussian</t> function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.
    Gaussian Function Of The Matlab Curve Fitting Tool, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/result/gaussian function of the matlab curve fitting tool/product/MathWorks Inc
    Average 90 stars, based on 1 article reviews
    gaussian function of the matlab curve fitting tool - by Bioz Stars, 2026-03
    90/100 stars
    		  Buy from Supplier

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    A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a Gaussian function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.

    Journal: MethodsX

    Article Title: MatBED_B&C: A 3-dimensional biologically effective dose analytic approach for the retrospective study of gamma knife radiosurgery in a B&C model

    doi: 10.1016/j.mex.2023.102320

    Figure Lengend Snippet: A diagram of the computational pipeline. A: Examples show that the lengths of the semimajor axis, indicated by a, b, and c with horizontal solid black lines in a red square frame, in the x-direction, y-direction, and z-direction correspond to the 70% iso-dose in the dose profiles of an iso-center at coordinates (100, 100, 100). Next, x a , y b , and z c are the abscissa values at the dose percentage in the x-direction, y-direction, and z-direction, respectively. The curves in the dose profiles in the x-direction, y-direction, and z-direction are used to fit the dose falloff by a Gaussian function (blue curves indicated by black arrows). The dose falloff profiles show that the dose decays by its percentage on either side of the reference point (100% iso-dose). The a, b, and c are the abscissa differences between the reference point and any point of the dose decay curve in the x-direction, y-direction, and z-direction, respectively. Here, a, b, and c can take negative values due to the purpose of fitting the two-sided dose falloff. The percent dose at the point of the dose decay curve can be any percentage, for example, 90%, 70%, or 50% et al. Here we selected 70% as an example. B: L (indicated by horizontal solid black line in a green square frame) is the geometric mean of a, b, and c. L can take negative values to express dose falloff in another direction (with a portion indicated by a red square frame). The curve is also used to fit the dose falloff by a Gaussian function (red curves indicated by black arrows). N, u i , v i , and w i take respective values corresponding to x a , y b , z c , and L, respectively. C: An expanding ellipsoidal is used to represent the relationship between 3D coordinate values (x, y, z) and L. The expansion and contraction of the ellipsoidal (indicated by a black two-direction arrow) is controlled by L F W H M x F W H M y F W H M z 3 (indicated by a red arrow). D: The relationship between dose falloff and 3D coordinate values (x, y, z) is used to calculate the physical dose distribution. 3D: 3-dimensional.

    Article Snippet: Next, we adopt the Gaussian function of the MATLAB Curve Fitting Tool to fit the dose profiles.

    Techniques: