scholarly journals A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity

2019 ◽  
Vol 471 ◽  
pp. 42-50 ◽  
Author(s):  
Robinson F. Alvarez ◽  
José A.M. Barbuto ◽  
Roberto Venegeroles
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Phenotypic Heterogeneity ◽  
Nonlinear Mathematical Model ◽  
Cell Mediated Immune Response

scholarly journals A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth

2005 ◽  
Vol 65 (17) ◽  
pp. 7950-7958 ◽  
Author(s):  
Lisette G. de Pillis ◽  
Ami E. Radunskaya ◽  
Charles L. Wiseman
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Tumor Growth ◽  
Cell Mediated Immune Response

scholarly journals A mathematical model of cell-mediated immune response to tumor

2021 ◽  
Vol 18 (1) ◽  
pp. 373-385
Author(s):  
Ge Song ◽  
◽  
Tianhai Tian ◽  
Xinan Zhang ◽  
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Cell Mediated Immune Response

A MATHEMATICAL MODEL FOR THE EFFECT OF TOXICANT ON THE IMMUNE SYSTEM

2007 ◽  
Vol 15 (04) ◽  
pp. 473-493 ◽  
Author(s):  
UMA S. DUBEY ◽  
BALRAM DUBEY
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Immune System ◽  
Local Stability ◽  
Defense Mechanism ◽  
Oscillatory Behavior ◽  
The Body ◽  
Nonlinear Mathematical Model ◽  
Environmental Toxicant ◽  
Equilibrium Level

In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of environmental toxicant on the immune response of the body. Criteria for local stability, instability and global stability are obtained. It is shown that the immune response of the body decreases as the concentration of environmental toxicant increases, and certain criteria are obtained under which it settles down at its equilibrium level. In the absence of toxicant, an oscillatory behavior of immune system and pathogenic growth is observed. However, in the presence of toxicant, oscillatory behavior is not observed. These studies show that the toxicant may have a grave effect on our body's defense mechanism.

Comment on: A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth

2007 ◽  
Vol 67 (17) ◽  
pp. 8420-8420 ◽  
Author(s):  
Lisette G. de Pillis ◽  
Ami E. Radunskaya ◽  
Charles L. Wiseman
Keyword(s):  
Mathematical Model ◽  
Immune Response ◽  
Tumor Growth ◽  
Cell Mediated Immune Response

146 Influence of temperament on the cell-mediated immune response in Brahman heifers

2016 ◽  
Vol 94 (suppl_1) ◽  
pp. 71-71
Author(s):  
K. C. Garrett ◽  
D. A. Neuendorff ◽  
A. W. Lewis ◽  
S. T. Willard ◽  
T. H. Welsh ◽  
...  
Keyword(s):  
Immune Response ◽  
Cell Mediated Immune Response
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