Stability and Periodicity in a Model of Bone Remodeling under Impulsive PTH Control

被引：0
|
作者：
Chudtong, M. [1 ]
Lenbury, Y. [1 ]
Ratanakul, C. [1 ]
机构：
[1] Mahidol Univ, Fac Sci, Dept Math, Ctr Excellence Math, Perdo, Che, Thailand
来源：
SELECTED TOPICS IN APPLIED COMPUTER SCIENCE | 2010年
关键词：
Bone remodeling; asymptotic stability; permanence; impulsive differential equation models; PARATHYROID-HORMONE; PULSATILE SECRETION;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a mathematical model of bone remodeling process, which incorporates the effect of impulsive application of parathyroid hormone supplementary treatments, is analyzed in terms of the boundedness, asymptotic stability, permanence, and oscillatory behavior. Conditions under which different dynamic behavior may be expected are shown to be sensitive to the period and amplitude of the hormone supplements so that the variation of these parameters are crucial of the proper management and control of this complex system which is an essential component of the human life.
引用
收藏
页码：152 / +
页数：2
相关论文
共 50 条
  • [1] PTH Signaling and Epigenetic Control of Bone Remodeling
    Florante Ricarte
    Teruyo Nakatani
    Nicola Partridge
    Current Molecular Biology Reports, 2016, 2 (1) : 56 - 61
  • [2] Stability and periodicity for impulsive neural networks with delays
    Shao, Yuanfu
    Zhang, Qianhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [3] Periodicity and stability in a single-species model governed by impulsive differential equation
    Tan, Ronghua
    Liu, Zhijun
    Cheke, Robert A.
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (03) : 1085 - 1094
  • [4] Bone Remodeling Under Vibration: A Computational Model of Bone Remodeling Incorporating the Modal Behavior of Bone
    Moghaddam, A. Ostadi
    Mahjoob, M. J.
    Nazarian, A.
    JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 2018, 140 (12):
  • [5] Asymptotic stability of a genetic network under impulsive control
    Li, Fangfei
    Sun, Jitao
    PHYSICS LETTERS A, 2010, 374 (31-32) : 3177 - 3184
  • [6] pth Moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs
    Li, Xiaodi
    Zhu, Quanxin
    O'Regan, Donal
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (09): : 4435 - 4456
  • [7] Model structure and control of bone remodeling: A theoretical study
    Pivonka, Peter
    Zimak, Jan
    Smith, David W.
    Gardiner, Bruce S.
    Dunstan, Colin R.
    Sims, Natalie A.
    Martin, T. John
    Mundy, Gregory R.
    BONE, 2008, 43 (02) : 249 - 263
  • [8] EXPLORING THE IMPACT OF PTH THERAPY ON BONE REMODELING: A MATHEMATICAL INVESTIGATION
    Sreekumar, Amrutha
    Chakravarty, Koyel
    JOURNAL OF BIOLOGICAL SYSTEMS, 2024, 32 (02) : 809 - 843
  • [9] Stability Analysis of a Predator-prey Model with Impulsive Control
    Song, Yan
    Qi, Xiao-Yu
    Gao, Ya-Jun
    Xiao, Wen
    2015 International Conference on Mechanical Engineering and Automation (ICMEA 2015), 2015, : 52 - 57
  • [10] pth Moment Exponential Stability of Impulsive Stochastic Functional Differential Equations
    Li, Qiaofeng
    Li, Jianli
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (01)
12345