Results 111 to 120 of about 14,895 (148)

Parallel regulatory circuits orchestrate biofilm formation in response to c-di-GMP levels and growth phase. [PDF]

open access: yesPLoS Genet
Trebino MA   +8 more
europepmc   +1 more source
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LIE REMARKABLE PDEs

Asymptotic Methods in Nonlinear Wave Phenomena, 2007
Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations.
G. MANNO, OLIVERI, Francesco, R. VITOLO
openaire   +3 more sources

Extremum seeking boundary control for PDE–PDE cascades

Systems & Control Letters, 2021
The manuscript addresses the problem of extremum seeking for wave equations evolving in the one-dimensional spatial interval~\((0,1)\subset\mathbb R\). \par The input control acts on the right spatial boundary point~\(x=1\); see Eqs.~(4)--(7). The authors also consider the case where such input is subject to the solution of a heat equation; see Eqs ...
Oliveira, Tiago Roux, Krstic, Miroslav
openaire   +1 more source

Parabolic PDE-PDE Loops

2018
This chapter of the book is devoted to the study of parabolic–parabolic PDE loops by means of the small-gain methodology. The results contained in the present chapter allow the existence of non-local reaction terms (both distributed terms and boundary terms) as well as distributed and boundary inputs.
Iasson Karafyllis, Miroslav Krstic
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Hyperbolic PDE-PDE Loops

2018
The chapter is devoted to the development of the small-gain methodology for coupled 1-D, hyperbolic, first-order PDEs under the presence of external inputs. Our aim is the derivation of sufficient conditions that guarantee ISS for a given system of coupled hyperbolic PDEs. Globally, Lipschitz nonlinear, non-local terms are allowed to be present both in
Iasson Karafyllis, Miroslav Krstic
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(CO)Bordisms in PDEs and quantum PDEs

Reports on Mathematical Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Other PDE-PDE Cascades

2009
In this chapter we deal with cascades of parabolic and second-order hyperbolic PDEs. These are example problems. The parabolic-hyperbolic cascade is represented by a heat equation at the input of an antistable wave equation. The hyperbolic-parabolic cascade is represented by a wave equation at the input of an unstable reaction-diffusion equation.
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Phosphodiesterases (PDEs) and PDE inhibitors for treatment of LUTS

Neurourology and Urodynamics, 2007
Lower urinary tract (LUT) smooth muscle can be relaxed by drugs that increase intracellular concentrations of cyclic adenosine monophosphate (cAMP) and cyclic guanosine monophosphate (cGMP). Both of these substances are degraded by phosphodiesterases (PDEs), which play a central role in the regulation of smooth muscle tone.
Karl-Erik, Andersson   +3 more
openaire   +2 more sources

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