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Downloads
Views
Date
Relevance
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
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
96
views
50
downloads
0
comments
2014-Niemann-Miklos-Simple Method for Estimation of Parameters in First Order Systems
A simple method for estimation of parameters in first order systems with time delays is presented in this paper.
delay
time dely
step response
Potential Scenario
118
views
56
downloads
0
comments
2016-Barbarossa-Kuttler-Mathematical Modeling of Bacteria Communication in Continuous Cultures
This paper presents a simple system of delay differential equations (DDEs) for quorum sensing of Pseudomonas putida with one positive feedback plus one (delayed) negative feedback mechanism.
gene regulatory networks
chemostat
bifurcation
Numerical Simulation
quorum sensing
Potential Scenario
118
views
33
downloads
0
comments
1984-W_Brunner-D__Focht-Deterministic Three-Half-Order Kinetic Model for Microbial Degradation
The kinetics of mineralization of carbonaceous substrates has been explained by a deterministic model which is applicable to either growth or nongrowth conditions in soil.
kinetics
nonlinear regression
sum of square errors
Monodlinearize
mineralization
substrates
carbonaceous
Potential Scenario
97
views
86
downloads
0
comments
2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.
diabetes
health model
Potential Scenario
132
views
38
downloads
0
comments
2011-Kurt_Kreith-The Mathematics of Global Change
The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.
exponential growth
logistic growth
Potential Scenario
152
views
37
downloads
0
comments
1969-Israelsson-Johnsson-Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study
The paper studies geotropical induced phase-shifts in circumnutations (turning) of Helianthus annus hypocotlys.
plant
oscillation
delay
circumnutation
turning
Modeling Scenario
216
views
102
downloads
0
comments
6-010-SocialCampaign-ModelingScenario
The epidemic modeling problem is formulated as a system of three nonlinear, first order differential equations in which three compartments (S, I, and R) of the population are linked.
disease
growth rate
Judgment and Decision Making
SIR model
infections disease
social campaign
recovery rate
delay time
joining process
quitting process
exponential distribution
Potential Scenario
124
views
34
downloads
0
comments
2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.
predator-prey
host-parasite
bifurcation
age structre
maturation delay
Potential Scenario
1571
views
45
downloads
0
comments
2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.
feedback
Accelerometers
functional differential equations
semi-discretization
D-subdivision method
Potential Scenario
269
views
56
downloads
0
comments
2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure
predator
prey
bifurcation
switching
Potential Scenario
710
views
63
downloads
0
comments
2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological phenomena such dynamical diseases and cell growth...
epidemiology
sensitivity
Immunology
physiology
RK-methods
time-lags
Potential Scenario
166
views
43
downloads
0
comments
2012-Jambhekar-Breen-Extravascular Routes Of Drug Administration in Basic Pharamacokinetics
This provides an excellent step-by-step of the physiology, construction of model, and notions like peak concentration as well as issues like lag time.
concentration
physiology
drugs
lag time
Extravascular
Pharamacokinetics
peak time
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
102
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Potential Scenario
104
views
63
downloads
0
comments
2006-Shigui_Ruan-Delay differential equations in single species dynamics
In this survey, we shall review various delay differential equations models arising from studying single species dynamics.
allee_effect
delayed biological systems
food limit
periodiciity
recruitment model
Regulation of Haematopoiesis
Potential Scenario
171
views
53
downloads
0
comments
2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.
mRNA
lactose
lactose operon
feedback regulation
Potential Scenario
182
views
47
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
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
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