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A mathematical model to simulate the biological action of Infliximab on TNF- α in patients with Inflammatory Bowel Disease: the critical role of drug clearance. [PDF]

Bull Math Biol
Portillo AM, De Prado Á, Soares AJ.
europepmc   +1 more source

Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones. [PDF]

Arch Ration Mech Anal
Chen GG, Pu Y, Zhang Y.
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Simultaneous Numerical Determination of Two Time-dependent Coefficients in Second Order Parabolic Equation With Nonlocal Initial and Boundary Conditions. [PDF]

F1000Res
A J Al-Shatrah M, Sabah Hussein M.
europepmc   +1 more source

Numerical computation of the stochastic hepatitis B model using feed forward neural network and real data. [PDF]

Sci Rep
Khan T, Jung IH.
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Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]

Sci Rep
Oudjedi-Damerdji LF, Meziane M, Djidel O, Boulaaras S, Alharbi A.   +4 more
europepmc   +1 more source

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Existence of solution to a Cahn–Hilliard equation

Asymptotic Analysis, 2022
Our aim in this paper is to prove the existence to a Cahn–Hilliard equation with a proliferation term and endowed with Neumann boundary conditions. Such a model has, in particular, applications in biology. We first consider regular nonlinear term then logarithmic one. We finally give some numerical simulations which confirm the theoretical results.
Mourad, Ayman, Taha, Zahraa
openaire   +1 more source

Existence of a Nonstationary Poiseuille Solution

Siberian Mathematical Journal, 2005
Let \(\omega\) be a bounded domain in \(\mathbb R^n\), \(Q_T = \omega\times(0,T)\). The following inverse problem is studied in \(Q_T\): \[ \begin{gathered} v_t(x,t) - \nu\Delta\,v(x,t) = q(t),\quad (x,t)\in Q_T, \\ v(x,t) = 0, \quad (x,t) \in \partial\omega\times(0,T),\quad v(x,0) = a(x),\quad x\in\omega, \\ \int_{\omega}v(x,t)\,dx = F(t)\;\;\text ...
Pileckas, Konstantin, Keblikas, V.
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Existence of solutions for a class of integral equations

Differential and Integral Equations, 2022
Let \(\rho:\mathbb{R}^N\to\mathbb{R}\) be a suitable positive, bounded, continuous function and let \(K:\mathbb{R}^N\times\mathbb{R}^N\to\mathbb{R}\) be an appropriate non-negative, continuous function. The aim of this paper is devoted to study, by variational methods, the following two nonlocal problems:\[L_Ku=\rho(x)|u|^{p-1}u,\quad\text{in }\mathbb ...
de Lima, Romildo N., Nóbrega, Alânnio B., Souto, Marco A. S.   +2 more
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Existence of nonclassical solutions in a Pedestrian flow model

Nonlinear Analysis: Real World Applications, 2009
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COLOMBO, Rinaldo Mario, ROSINI, Massimiliano Daniele   +1 more
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