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Downloads
Views
Date
Relevance
Potential Scenario
119
views
66
downloads
0
comments
2015-Khan-EtAl-How differential equations influence the tumor growth via mathematical models
This work demonstrates the importance of differential equations to develop mathematical model of tumor growth.
tumor
cancder
cancerous cells
immunotherapy
malignant
Potential Scenario
114
views
37
downloads
0
comments
2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with DelayÂ
Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
virus
T cells
Hopf bifurcation
endemic equilibrium
Potential Scenario
210
views
52
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
154
views
53
downloads
0
comments
2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.
infection
HIV
T cells
Potential Scenario
118
views
41
downloads
0
comments
1989-EY_Rodin-S_Jaques-Countercurrent Oxygen Exchange in the Swim Bladders of Deep-Sea Fish
Oxygen diffuses from lungs into blood, nutrients diffuse from intestinal tracts into blood and from blood into various cells, and waste products diffuse from cells back into blood.
fish
Cell Membrane
flow
blood
bladder
countercurrent
Modeling Scenario
386
views
91
downloads
0
comments
6-017-OncolyticViruses-ModelingScenario
Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
cancer
cancer-immune dynamics
immune suppressor drug
oncolytic virus
virotherapy
Article or Presentation
103
views
27
downloads
0
comments
2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays.
delay
HIV-1
T cells
combination antiviral therapy
Potential Scenario
136
views
49
downloads
0
comments
2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
bacteria
agent-based
populationb
rod-shaped
cellular growth
Potential Scenario
125
views
44
downloads
0
comments
2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
immune system
yellow fever
computational immunology
computational vaccinology
Potential Scenario
133
views
67
downloads
0
comments
2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
We developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
Immunology
immune system
Antigen
vaccinology
yellow fever
Potential Scenario
114
views
33
downloads
0
comments
2012-José_Sérgio_Domingues-Gompertz Model - Resolution and Analysis for Tumors
The main objective of this paper is to use the Gompertz equation in order to study the development of blood irrigated solid tumors, using parameters defined in some important bibliographic references about the mathematical modelling of tumors.
tumor
Gompertz equation
growth tumor
Potential Scenario
160
views
56
downloads
0
comments
1977-Michael_Mackey-Leon_Glass-Oscillation and Chaos in Physiological Control Systems
First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle oscillation.
sensitivity
chaos
parameters
Respiration
delay
blood cells
Potential Scenario
265
views
41
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
Potential Scenario
124
views
50
downloads
0
comments
2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy
In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.
optimal control
drug resistance
pharmacokinetics
pharmacodynamics
chemotherapy
Potential Scenario
128
views
83
downloads
0
comments
2015-Heiko_Enderling-Integrating experimental data to calibrate quantitative cancer models
For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. We focus on a tumor hierarchy of cancer stem and progenitor non-stem cancer cells.
cancer
tumor
fitting
agent-based
Potential Scenario
115
views
62
downloads
0
comments
2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.
logistic
HBV infection
adaptive immunie response
T-lymphocytes
Potential Scenario
127
views
69
downloads
0
comments
2014-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for cholesterol homeostasis.
metabolic syndrome
compartment model
cholesterol
high blood cholesterol
Potential Scenario
112
views
70
downloads
0
comments
2015-Wrona-EtAl-Two-compartment model as a teaching tool for cholesterol homeostasis
To investigate cholesterol transport in the circulatory system, we have previously developed a two-compartment mathematical model. Here, we show how this model can be used as a teaching tool for cholesterol homeostasis
metabolic syndrome
cholesterol
high blood cholesterol
cholesterol homeostasis
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