In this paper, we study the pharmacokinetics equation for cisplatin (PKC) with random coefficients and initial conditions using the Stochastic Collocation method. We analyze the regularity of the solution with respect to the random variables. The error estimate for the Stochastic Collocation method is proved using the regularity result and the error estimate for the Finite Difference method. Then, we provide the overall errors estimate and convergence is achieved as a direct result. Some numerical results are simulated to illustrate the theoretical analysis. We also propose a comparison between the stochastic and determinate solving process of PKC equation where we show the efficiency of our adopted method.
Essarrout, S., Raghay, S., & Mahani, Z. (2020). Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions. Journal of Mathematical Modeling, 8(4), 455-477. doi: 10.22124/jmm.2020.16520.1433
MLA
Saadeddine Essarrout; Said Raghay; Zouhir Mahani. "Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions". Journal of Mathematical Modeling, 8, 4, 2020, 455-477. doi: 10.22124/jmm.2020.16520.1433
HARVARD
Essarrout, S., Raghay, S., Mahani, Z. (2020). 'Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions', Journal of Mathematical Modeling, 8(4), pp. 455-477. doi: 10.22124/jmm.2020.16520.1433
VANCOUVER
Essarrout, S., Raghay, S., Mahani, Z. Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions. Journal of Mathematical Modeling, 2020; 8(4): 455-477. doi: 10.22124/jmm.2020.16520.1433
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