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Model Mathematics

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Component: environment

Component: B

\frac{d}{d time} (B) = (- (lamda_Bo + lamda_Vi)) B

Component: V

\frac{d}{d time} (V) = lamda_Vi B - ((lamda_Vo + lamda_Ho) V)

Component: H

\frac{d}{d time} (H) = (- (lamda_Hi V)) + lamda_Ho H

Component: antibody_dose_rate

RV = A0 Eav n_beta K (V phi VV + H phi VH) RH = A0 Eav n_beta K (V phi HV + H phi HH)

Component: S

S = ⅇ^{(- (alpha D)) RE}

Component: response_models

total_probability = 2.0 P \int_{0}^{T} R ⅇ^{(- mu) (T - time)} d time probability_of_typeB_damage = 2.0 P^{2.0} \int_{0}^{time} \int_{0}^{T} ⅇ^{(- mu) (T - time)} d T d time probability_of_typeB_damage = alpha \int_{0}^{time} R d time

Component: model_parameters

Source: Derived from workspace Flynn, Green, Pedley, Boxer, Dearling, Watson, Boden, Begent, 2002 at changeset f6e356c29a7d.

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A Model-Based Approach for the Optimization of Radioimmunotherapy through Antibody Design and Radionuclide Selection