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Modeling the Ascorbate-Glutathione Cycle in Chloroplasts under Light/Dark Conditions
(Biomed Central, 2016-01-22)
Background: Light/dark cycles are probably the most important environmental signals that regulate plant development. Light is essential for photosynthesis, but an excess, in combination with the unavoidable presence of ...
Advances in Nonlinear Complexity Analysis for Partial Differential Equations
(Hindawi Publishing Corporation, 2013)
Cell Motility and Cancer
(MDPI, 2020-08-05)
Cell migration is an essential systemic behavior, tightly regulated, of all living cells endowed with directional motility that is involved in the major developmental stages of all complex organisms such as morphogenesis, ...
An Uncertainty Principle for Solutions of the Schrödinger Equation on H-Type Groups
(Cambridge University Press, 2020-04-02)
In this paper we consider uncertainty principles for solutions of certain partial differential equations on H -type groups. We first prove that, on H -type groups, the heat kernel is an average of Gaussians in the central ...
Automatic Analysis of Archimedes’ Spiral for Characterization of Genetic Essential Tremor Based on Shannon’s Entropy and Fractal Dimension
(MDPI, 2018-07)
Among neural disorders related to movement, essential tremor has the highest prevalence; in fact, it is twenty times more common than Parkinson's disease. The drawing of the Archimedes' spiral is the gold standard test to ...
Hardy's uncertainty principle and unique continuation property for stochastic heat equations
(EDP Sciences, 2020-02-14)
The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s ...
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
(Elsevier, 2018-09-07)
The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of Rd agree on two intersecting d ...
A Fair and Scalable Mechanism for Resource Allocation: The Multilevel QPQ Approach
(IEEE, 2020-12-29)
In this paper the problem of distributing resources among a collection of users (or players) is explored. These players have independent preferences to get these resources and can be dishonest about their preferences in ...
Uniqueness for solutions of the Schrödinger equation on trees
(Fondazione Annali di Matematica Pura ed Applicata and Springer Nature, 2019-08-30)
We prove that if a solution of the time-dependent Schrödinger equation on an homogeneous tree with bounded potential decays fast at two distinct times then the solution is trivial. For the free Schrödinger operator, we use ...
Convexity properties of discrete Schrödinger evolutions
(Springer Nature, 2019-07-01)
In this paper, we give log-convexity properties for solutions to discrete Schrödinger equations with different discrete versions of Gaussian decay at two different times. For free evolutions, we use complex analysis arguments ...