Mathematical modelling of oscillating patterns for chronic ...

We construct a mathematical model of kinetic type describing the immune system cellular interactions in the context of autoimmunity exhibiting recurrent ...

Many autoimmune diseases are chronic in nature, so that in general, patients experience periods of recurrence and remission of the symptoms characterizing ...

Mathematical modelling of oscillating patterns for chronic ...

Mathematical modelling of oscillating patterns for chronic autoimmune diseases. R. Della Marca1,a), M.P. Machado Ramos2,b), C. Ribeiro2,c ...

Equilibrium of a kinetic model of oscillating patterns for chronic ...

Keywords: Kinetic theory,; integro-PDEs,; H-theorem,; population dynamics,; mathematical biology,; cellular interactions. Mathematics Subject ...

Mathematical modeling in autoimmune diseases - PubMed Central

Mathematical modelling of oscillating patterns for chronic autoimmune diseases. Math Methods Appl Sci. (2022) 45:7144–61. doi: 10.1002/mma ...

Equilibrium of a kinetic model of oscillating patterns for chronic ...

Mathematical modelling of oscillating patterns for chronic autoimmune diseases. Article. Full-text available. Apr 2022; MATH METHOD APPL SCI.

Mathematical modelling of oscillating patterns for chronic ... - CMAT

Mathematical modelling of oscillating patterns for chronic autoimmune diseases · Publication · Identifiers · Locators · Alternative Titles · Contacts. Campus de ...

Mathematical modeling of circadian rhythms - PMC - PubMed Central

When a system approaches a sustained oscillation (i.e., limit cycle), it returns to its original state after time τ , therefore x ( t + τ ) = x ( t ) . While ...

Mathematical Modelling of Endocrine Systems - ScienceDirect.com

The primary secretory pathway of glucose-stimulated insulin secretion is associated with complex patterns of electrical activity across the ...

Mathematical Modeling in Circadian Rhythmicity - SpringerLink

This self-sustained oscillating nature is often observed among biological systems [2, 7, 33]. Phenomena such as heart beats, circadian clocks or ...

Mathematical modelling of glucose dynamics - ScienceDirect.com

Many studies investigate mechanisms at the cellular level to understand patterns of insulin and glucagon release or glucose absorption, while others regard ...

A Mathematical Model of the Transition from Normal Hematopoiesis ...

A Mathematical Model of Chronic Myelogenous Leukemia; Oxford University ... Universal patterns of stem cell fate in cycling adult tissues. Development ...

Topics in Mathematical Modeling on JSTOR

The long-term behavior of the solution is given by a monotonic approach to ... ” It deranged atmospheric weather patterns around the world, killed over ...

Preface to the special issue on “Mathematical modeling and ...

... oscillating behavior through Hopf bifurcation may occur. ... modeling cell dynamics after bone marrow transplantation in chronic myeloid leukemia.

Mathematical Modelling Lecture 10 – Difference Equations

r = 3.6 oscillation between 4 different values – period doubling r = 3.7 chaos! No pattern or long-term prediction possible. Phil Hasnip. Mathematical Modelling ...

Mathematical Modelling of Climate Change and Variability in ... - MDPI

... patterns. Natural emergent phenomena occur ... Deterministic climate models are very useful for exploring and projecting long-term climate change trends.

an introduction to mathematical modeling | ung repository

In a long term model encompassing many years we could probably avoid this complication by averaging birth and death rates over an entire year. Page 20. 10. WH ...

Mathematical Modelling for Earth Sciences

This mathematical model can produce intriguing patterns due to its intrinsic ... t → ∞ and oscillating in a wavy manner. To generator other wavelets ...

Mathematical Modeling of COVID-19 with Chronic Patients and ...

Optimal control on a mathematical model to pattern the progression of coronavirus disease 2019 (COVID-19) in Indonesia. Global Health Research and Policy ...

Mathematical modeling in precision nutrition - Chalmers Research

chronic kidney disease and nonalcoholic fatty diver ... Cluster Analysis Reveals Important. Determinants of Cardiometabolic Risk Patterns in Filipino Women.