Results 31 to 40 of about 1,052 (144)

On the Nagumo uniqueness theorem

open access: yes, 2011
By a convenient reparametrisation of the integral curves of a nonlinear ordinary differential equation (ODE), we are able to improve the conclusions of the recent contribution [A. Constantin, Proc. Japan Acad. {\bf 86(A)} (2010), 41--44]. In this way, we
Mustafa, Octavian G., O'Regan, Donal
core   +1 more source

A Hypothetical‐Mathematical Model of Acute Myeloid Leukaemia Pathogenesis

open access: yesComputational and Mathematical Methods in Medicine, Volume 11, Issue 1, Page 49-65, 2010., 2010
Acute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding normal clones. Haematopoiesis can be seen as an evolutionary tree, starting with one cell that undergoes several divisions during the expansion phase, afterwards losing functional cells during the aging‐related contraction
Andrei Cucuianu, Radu Precup
wiley   +1 more source

The jump phenomenon associated with the dynamics of the duffing equation

open access: yesPhysics Open, 2020
The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
doaj   +1 more source

Mathematical Model Creation for Cancer Chemo‐Immunotherapy

open access: yesComputational and Mathematical Methods in Medicine, Volume 10, Issue 3, Page 165-184, 2009., 2009
One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities.
Lisette de Pillis   +7 more
wiley   +1 more source

A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection

open access: yesJournal of Biological Dynamics, 2023
The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic.
Chuanqing Xu   +7 more
doaj   +1 more source

Fluid‐Retention Side‐Effects of the Chemotherapy‐Supportive Treatment Interleukin‐11: Mathematical Modelling of Putative Underlying Mechanisms

open access: yesComputational and Mathematical Methods in Medicine, Volume 7, Issue 2-3, Page 71-84, 2006., 2006
Interleukin‐11 (IL‐11) is a pleiotropic thrombopoietic cytokine and immune modulator, clinically approved for alleviation of chemotherapy‐induced thrombocytopenia in non‐myeloid malignancies. IL‐11 therapy exerts fluid accumulation‐associated adverse effects, complicating its administration and limiting its use.
Yuri Kheifetz   +3 more
wiley   +1 more source

On infinite system of Caputo fractional differential inclusions with boundary conditions for convex-compact multivalued mappings

open access: yesAlexandria Engineering Journal, 2020
Y. Xu (2016) investigated existence results of Caputo fractional differential equations with integral and anti-periodic boundary conditions of fractional order α∈(1,2).
Mahnaz Khanehgir   +3 more
doaj   +1 more source

Effect of randomly fluctuating environment on autotroph‐herbivore model system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 68, Page 3703-3716, 2004., 2004
First we deal with a brief introduction of the autotroph‐herbivore model system along with deterministic analysis of local stability, bifurcation behavior, and persistence of the populations. The second part consists of the stochastic formulation of the model system to incorporate the effect of environmental fluctuation and then analysis of ...
Tapan Saha, Malay Bandyopadhyay
wiley   +1 more source

Exact solutions for the ion sound Langmuir wave model by using two novel analytical methods

open access: yesResults in Physics, 2020
In the present paper, the system of equations for the ion sound and Langmuir waves (SEISLWs) is considered to obtain the new solitary wave solutions of the non-linear evolution equations. Here, we used the relatively two new analytical methods to achieve
A. Tripathy, S. Sahoo
doaj   +1 more source

A Simple Expansion‐Based HPM for Cubic–Quintic Damped Nonlinear Oscillator

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
In the present article, a new amplitude expansion–based homotopy perturbation method (AE‐HPM) is used to study the nonlinear behavior of a damped oscillator. The traditional homotopy perturbation method is extended, considering a simple amplitude expansion to determine the solution and amplitude frequency relationship for the damped nonlinear system ...
Nazmul Sharif, Kartik Ariyur
wiley   +1 more source

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