Results 51 to 60 of about 17,486 (265)
The Fisher-KPP Equation with Nonlinear Fractional Diffusion [PDF]
SIAM Journal on Mathematical Analysis, 2014 We study the propagation properties of nonnegative and bounded solutions of the class of reaction-diffusion equations with nonlinear fractional diffusion: $u_{t} + (-Δ)^s (u^m)=f(u)$. For all $0 m_c=(N-2s)_+/N $, we consider the solution of the initial-value problem with initial data having fast decay at infinity and prove that its level sets propagate
Diana Stan, Juan Luis Vázquez
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Importin 7 mediates the nuclear import of HIV‐1 integrase via a specific interacting interface
FEBS Open Bio, EarlyView.HIV‐1 integrase enables viral DNA integration into the host genome. By binding to the core domain of the host protein Importin 7 via its C‐terminal domain, the integrase is transported across the nuclear membrane into the nucleus, where integration of the viral genome into host DNA takes place. This translocation is a critical step for subsequent viral
Juana Bana +5 more
wiley +1 more source
Solitary wave solutions of Fitzhugh–Nagumo-type equations with conformable derivatives
Frontiers in Physics, 2022 The Fitzhugh–Nagumo equation is an important non-linear reaction–diffusion equation used to model the transmission of nerve impulses. This equation is used in biology as population genetics; the Fitzhugh–Nagumo equation is also frequently used in circuit
Adem C. Cevikel +3 more
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CTRW pathways to the fractional diffusion equation [PDF]
Chemical Physics, 2002 The foundations of the fractional diffusion equation are investigated based on coupled and decoupled continuous time random walks (CTRW). For this aim we find an exact solution of the decoupled CTRW, in terms of an infinite sum of stable probability densities.
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Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley +1 more source
Axioms, 2014 This paper deals with the investigation of the computational solutions of a unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann ...
Ram K. Saxena +2 more
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Averaged Control for Fractional ODEs and Fractional Diffusion Equations [PDF]
Journal of Function Spaces, 2018 We generalize results concerning averaged controllability on fractional type equations: system of fractional ODEs and the fractional diffusion equation. The proofs are accomplished by introducing appropriate Banach space in which we prove observability inequalities.
Darko Mitrovic +2 more
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FEBS Open Bio, EarlyView.Biophysical characterisation shows that NanX, a membrane transport protein from the major facilitator superfamily (MFS), forms both monomers and dimers after purification. AlphaFold modelling and substrate docking provide information on residues likely involved in substrate recognition for NanX and another MFS member, NanT.
Michael C. Newton‐Vesty +13 more
wiley +1 more source
Fractional diffusion equation and diffusive stresses [PDF]
PAMM, 2007 AbstractA quasi‐static uncoupled theory of diffusive stresses based on the time‐fractional diffusion equation is considered. The Caputo fractional derivative of order α is used. In particular, the proposed theory interpolates the classical theory of diffusive stresses and that without energy dissipation.
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Multidimensional Time Fractional Diffusion Equation [PDF]
, 2017 In this paper we present integral and series representations for the fundamental solution of the time fractional diffusion equation in an arbitrary dimension. The series representation obtained depends on the parity of the dimension. As an application of our results we study the diffusion and stress in the axially symmetric case for plane deformation ...
Ferreira, Milton dos Santos +1 more
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