A simple non-linear model of immune response

S Gutnikov, Y Melnikov - Chaos, Solitons & Fractals, 2003 - Elsevier
… We present a simple mathematical model illustrating that the systemimmunity than the
system where just one cell type is responsible for both recognition and destruction. The model is …

The relevance of non-linear mathematics (chaos theory) to the treatment of cancer, the role of the immune response and the potential for vaccines

A Dalgleish - Qjm, 1999 - academic.oup.com
… that the immune system is … immune system is tuned to attack invading hosts bearing
such sequences rapidly, and we do not have to wait weeks for the relevant immune response

Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate

E Avila-Vales, N Chan-Chí, G García-Almeida - Chaos, Solitons & Fractals, 2014 - Elsevier
immune impairment model and general non-linear incidence rate. Several techniques, including
a non-linear … To model the immune response during a viral infection, taking into account …

Periodic solutions and chaos in a non-linear model for the delayed cellular immune response

AA Canabarro, IM Gléria, ML Lyra - Physica A: Statistical Mechanics and its …, 2004 - Elsevier
… In this work, we consider a non-linear model of the cellular immune response to a viral …
used in models of population dynamics, in particular in models for the immune response [6], [13]. …

Optimal enhancement of immune response

RF Stengel, RM Ghigliazza, NV Kulkarni - Bioinformatics, 2002 - academic.oup.com
… of pathogenic attack, direct effects of therapy, and immune system response must be the …
nonlinear models can be combined with neighboring–optimal feedback control of linear models

Non-linear phenomena in host—parasite interactions

RM Anderson, RM May, S Gupta - Parasitology, 1989 - cambridge.org
… with the host's immune system and with populations of hosts. … simple mathematical models
of non-linear dynamical interactions help to clarify our understanding of process and function. …

Modelling the immune response to malaria with ecological concepts: short-term behaviour against long-term equilibrium

B Hellriegel - Proceedings of the Royal Society of …, 1992 - royalsocietypublishing.org
… A model for the human immune response to the malaria … models either looked at
competition between two parasite genotypes or at one parasite clone and the immune response

Nonlinear state estimation for complex immune responses

O Bara, J Day, SM Djouadi - 52nd IEEE Conference on …, 2013 - ieeexplore.ieee.org
… approach to modeling dynamic systems and focus on the discrete time formulation of the
problem. Optimal estimation problems for non-linear, non-Gaussian state-space models do not …

A unified model of immune response II: continuum approach

D Chowdhury - Journal of theoretical biology, 1993 - Elsevier
… We solve the sets of coupled non-linear differential equations in the following subsections
using standard IMSL subroutines based on the fifth-order and sixth-order Runge—Kutta …

Modelling the dynamics of virus infection and immune response in space and time

G Bocharov, A Meyerhans, N Bessonov… - … Journal of Parallel …, 2019 - Taylor & Francis
… of the model is presented in Figure 1 . In the model we consider multiple non-linear feedback
… and the antiviral immune responses. According to this general scheme, the viruses and …