Modeling fractal-like drug elimination kinetics using an interacting random-walk model

被引：2

作者：

Marsh, Rebeccah E. ^{[1
]}

Riauka, Terence A.

机构：

[1] Univ Alberta, Dept Phys, Edmonton, AB T6G 2J1, Canada

[2] Univ Alberta, Dept Oncol Med Phys, Edmonton, AB T6G 1Z2, Canada

来源：

PHYSICAL REVIEW E | 2007年 / 75卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.75.031902

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We introduce an interacting random-walk model to describe the residence time of drug molecules undergoing a series of sojourn times in the body before being permanently eliminated under either homogeneous or heterogeneous conditions. We show that short-term correlations between drug molecules lead to Michaelis-Menten kinetics while long-term correlations lead to transient fractal-like kinetics. By combining both types of correlation, fractal-like Michaelis-Menten kinetics are achieved, and the simulations confirm previous analytical results.

引用

下载

页数：7

共 43 条

[21] MODEL OF DISTRIBUTION OF ANTICANCER AGENTS TRANSPLANTED INTO THE BRAIN-TISSUE USING THE RANDOM-WALK METHOD
POLAK, J
KVASNICKA, P
CHORVAT, D
KALLAY, Z
GENERAL PHYSIOLOGY AND BIOPHYSICS, 1992, 11 (05) : 459 - 468
[22] Estimation of charge carrier mobility in amorphous organic materials using percolation corrected random-walk model
Evans, David R.
Kwak, Hyunwook S.
Giesen, David J.
Goldberg, Alexander
Halls, Mathew D.
Oh-e, Masahito
ORGANIC ELECTRONICS, 2016, 29 : 50 - 56
[23] The distribution of latencies constrains theories of decision time: A test of the random-walk model using numeric comparison
Smith, DG
Mewhort, DJK
AUSTRALIAN JOURNAL OF PSYCHOLOGY, 1998, 50 (03) : 149 - 156
[24] MODELING TRANSPORT OF SELECTED RADIONUCLIDES IN SUBSURFACE WATER SYSTEMS USING DISCRETE-PARCEL RANDOM-WALK APPROACH
AHLSTROM, SW
TRANSACTIONS-AMERICAN GEOPHYSICAL UNION, 1975, 56 (12): : 979 - 979
[25] Kernel-density-based clustering of time series subsequences using a continuous random-walk noise model
Denton, A
FIFTH IEEE INTERNATIONAL CONFERENCE ON DATA MINING, PROCEEDINGS, 2005, : 122 - 129
[26] Three-Dimensional Modeling of Mass Transfer in Porous Media Using the Mixed Hybrid Finite Elements and the Random-Walk Methods
H. Hoteit
R. Mose
A. Younes
F. Lehmann
Ph. Ackerer
Mathematical Geology, 2002, 34 : 435 - 456
[27] Three-dimensional modeling of mass transfer in porous media using the mixed hybrid finite elements and the random-walk methods
Hoteit, H
Mose, R
Younes, A
Lehmann, F
Ackerer, P
MATHEMATICAL GEOLOGY, 2002, 34 (04): : 435 - 456
[28] Field-Scale Modeling of Tracer Injection in Naturally Fractured Reservoirs Using the Random-Walk Particle-Tracking Simulation
Stalgorova, E.
Babadagli, T.
SPE JOURNAL, 2012, 17 (02): : 580 - 592
[29] Dynamic studies of copper adsorption on mesoporous alginate beads using an integrated approach of fractal-like kinetic reaction and diffusion modeling
Kulkarni, Preeti S.
Watwe, Varuna S.
Kulkarni, Sunil D.
INTERNATIONAL JOURNAL OF CHEMICAL KINETICS, 2022, 54 (12) : 726 - 736
[30] Simulating Interference in D2D Link Using Fractal Random Walk Model for Elasticity Analysis
Kirina-Lilinskaya, Elizaveta P.
Zenyuk, Dmitry A.
Bobrikova, Ekaterina V.
Orlov, Yuriy N.
Gaidamaka, Yuliya V.
Samouylov, Konstantin E.
2019 11TH INTERNATIONAL CONGRESS ON ULTRA MODERN TELECOMMUNICATIONS AND CONTROL SYSTEMS AND WORKSHOPS (ICUMT), 2019,

← 1 2 3 4 5 →