Laser immunotherapy and the tumor-immune system interaction: a mathematical model and analysis

被引:0
|
作者
Laverty, Sean M. [1 ]
Dawkins, Bryan A. [1 ]
Chen, Wei R. [2 ]
机构
[1] Univ Cent Oklahoma, Dept Math & Stat, 100 N Univ Dr, Edmond, OK 73034 USA
[2] Univ Cent Oklahoma, Dept Engn & Phys, Biophoton res Lab, Oklahoma City, OK USA
来源
BIOPHOTONICS AND IMMUNE RESPONSES IX | 2014年 / 8944卷
关键词
Mathematical modeling; ordinary differential equations; tumor-immune dynamics; immunotherapy;
D O I
10.1117/12.2041814
中图分类号
R392 [医学免疫学]; Q939.91 [免疫学];
学科分类号
100102 ;
摘要
Laser immunotherapy (LIT) is a cancer treatment with promising results in animal models and some 'no other option' patients. The therapy elicits an immune response that targets the primary tumor and, perhaps more importantly, otherwise untreatable metastases. We develop and analyze a mathematical model that includes key elements of the host immune response set in motion by LIT. We use Latin Hypercube Sampling (LHS) to efficiently sample model parameters from a high-dimensional parameter space and get a broad sense of model dynamics. Depending on a variety of tumor, therapy, and immune parameters, a variety of patient outcomes ranging from tumor clearance to patient death are possible.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] PERIODICALLY PULSED IMMUNOTHERAPY IN A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTION
    Wei, Hsiu-Chuan
    Lin, Jenn-Tsann
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (04):
  • [2] Modeling immunotherapy of the tumor-immune interaction
    Kirschner, D
    Panetta, JC
    JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 37 (03) : 235 - 252
  • [3] Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
    d'Onofrio, Alberto
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (5-6) : 614 - 637
  • [4] SENSITIVITY ANALYSIS FOR A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTIONS
    Makhlouf, Ahmed M.
    Elkaranshawy, Hesham A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (02): : 317 - 326
  • [5] A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
    d'Onofrio, A
    PHYSICA D-NONLINEAR PHENOMENA, 2005, 208 (3-4) : 220 - 235
  • [6] A mathematical model of tumor-immune interactions with an immune checkpoint inhibitor
    Yu, Jui-Ling
    Jang, Sophia R-J
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 362
  • [7] Mathematical model of tumor-immune surveillance
    Mahasa, Khaphetsi Joseph
    Ouifki, Rachid
    Eladdadi, Amina
    de Pillis, Lisette
    JOURNAL OF THEORETICAL BIOLOGY, 2016, 404 : 312 - 330
  • [8] PERIODIC SOLUTIONS OF A TUMOR-IMMUNE SYSTEM INTERACTION UNDER A PERIODIC IMMUNOTHERAPY
    Torres-Espino, Gladis
    Vidal, Claudio
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (08): : 4523 - 4547
  • [9] Qualitative and Computational Analysis of a Mathematical Model for Tumor-Immune Interactions
    Rihan, F. A.
    Safan, M.
    Abdeen, M. A.
    Rahman, D. Abdel
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [10] Stability and bifurcation analysis of a mathematical model for tumor-immune interaction with piecewise constant arguments of delay
    Gurcan, Fuat
    Kartal, Senol
    Ozturk, Ilhan
    Bozkurt, Fatma
    CHAOS SOLITONS & FRACTALS, 2014, 68 : 169 - 179