Results 61 to 70 of about 52,901 (306)

General Solution Of Nth-Order Linear Ordinary Differential Equation [PDF]

open access: yes, 2021
In this paper we present a solution expression for the general Nth-order linear ordinary differential equation as our main result which involves the use of Integrating Factors where the Integrating Factors are determined using a set of equations such ...
Rajnish Kumar Jha
core   +1 more source

Salmonella lipopolysaccharide‐containing supported lipid bilayers as platforms to study bacteriophage interactions

open access: yesFEBS Letters, EarlyView.
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace   +6 more
wiley   +1 more source

Population Growth Models Using Fuzzy Ordinary Differential Equation

open access: yesSemina: Ciências Exatas e Tecnológicas
Fuzzy mathematics is a branch of mathematics that presents a new approach to the classical notion of set, enabling the generalization of concepts and results from classical mathematics.
Diogo Sampaio da Silva   +1 more
doaj   +1 more source

On Nonlinear Dynamics of the STAT5a Signaling Protein

open access: yesBiomath, 2014
In this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations.
Elena Nikolova   +2 more
doaj   +1 more source

Computing with polynomial ordinary differential equations

open access: yesJournal of Complexity, 2016
In 1941, Claude Shannon introduced the General Purpose Analog Computer(GPAC) as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of that time. Following Shannon's arguments, functions generated by GPACs must be differentially algebraic.
Bournez, Olivier   +2 more
openaire   +4 more sources

A family of difference schemes for fourth order parabolic partial differential equations [PDF]

open access: yes, 1983
A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
core  

PARK(ing) time–How park deficiency affects the biological clock in a Drosophila model of Parkinson's disease

open access: yesFEBS Letters, EarlyView.
Drosophila park mutants serve as a model for Parkinson's disease. We used this strain to investigate the connection between oxidative stress and the circadian clock mechanism. We showed that increased oxidative stress affects the physiology of pacemaker cells, disrupting their daily structural plasticity. Lack of rhythmic signaling from pacemaker cells
Kamila Zientara   +3 more
wiley   +1 more source

Renormalized solutions to the continuity equation with an integrable damping term [PDF]

open access: yes, 2015
We consider the continuity equation with a nonsmooth vector field and a damping term. In their fundamental paper, DiPerna and Lions (Invent Math 98:511–547, 1989) proved that, when the damping term is bounded in space and time, the equation is well posed
Spirito, Stefano   +2 more
core   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

open access: yesМоделирование и анализ информационных систем, 2015
The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions
N. A. Kudryashov
doaj   +1 more source

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