Results 61 to 70 of about 170,005 (283)

On the chaos game of iterated function systems [PDF]

Topological Methods in Nonlinear Analysis, 2016
Every quasi-attractor of an iterated function system (IFS) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. By contrast, we prove that the backward minimality is a necessary condition to get the deterministic chaos game.
Barrientos, Pablo G., Ghane, Fatemeh H., Malicet, Dominique, Sarizadeh, Aliasghar   +3 more
openaire   +3 more sources

Rapid screening of staphylokinase protein variants using an unpurified cell‐free expression system

FEBS Open Bio, EarlyView.
An unpurified cell‐free protein synthesis (CFPS) platform enables rapid functional screening of staphylokinase variants. Direct plasminogen‐activation assays performed in microplate format provide real‐time activity readouts, allowing rapid identification and ranking of variants with improved or reduced fibrinolytic activity without protein ...
Maria Tomková, Veronika Hovanová, Jiri Damborsky, Erik Sedlák   +3 more
wiley   +1 more source

The Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces

Fractal and Fractional, 2023
In this paper, we present the generalized iterated function system for the construction of common fractals of generalized contractive mappings in the setup of dislocated metric spaces.
Talat Nazir, Sergei Silvestrov
doaj   +1 more source

On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS

, 2007
We consider measures which are invariant under a measurable iterated function system with positive, place-dependent probabilities in a separable metric space. We provide an upper bound of the Hausdorff dimension of such a measure if it is ergodic.
A.H. Fan, I. Werner, J. Myjak, J.H. Elton, Joanna Jaroszewska, M. Nicol, Michał Rams, R. Fortet, R.M. Dudley, T. Szarek   +9 more
core   +2 more sources

Real Projective Iterated Function Systems [PDF]

Journal of Geometric Analysis, 2011
This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and
Barnsley, Michael F., Vince, Andrew
openaire   +4 more sources

RoundMi: A quantitative method to analyze mitochondrial morphology in mitotic cells

FEBS Open Bio, EarlyView.
RoundMi is a workflow for rapid analysis of mitochondrial morphology in mitotic cells. By combining adaptive preprocessing with automated segmentation and quantification, it enables accurate measurements from single focal plane images, reducing acquisition time and computational demands while remaining compatible with high‐throughput fixed and live ...
Elmira Parvindokht Bararpour, Christine Volmert, Valentina Piano   +2 more
wiley   +1 more source

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

Fractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad, Umar Ishtiaq, Ghulam Murtaza, Ioan-Lucian Popa, Fethi Mohamed Maiz   +4 more
doaj   +1 more source

Versatile vector tools for efficient protein screening across multiple expression systems

FEBS Open Bio, EarlyView.
A unified vector toolkit enables rapid protein expression screening across E. coli, insect, and mammalian cells. A single primer pair amplifies the target gene, which is inserted into any vector via a standardized interface. This streamlined workflow eliminates repeated cloning steps, accelerating the identification of optimal expression conditions for
Zhimin Zhu, Yaqing Liu, Lei Qin, Feng Yu, Qisheng Wang, Yahui Liu   +5 more
wiley   +1 more source

Arcwise connected attractors of infinite iterated function systems

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The aim of this paper is to give a sufficient condition for the attractor of an infinite iterated function system to be arcwise connected.
Dumitru Dan
doaj   +1 more source

Directed evolution of enzymes at the crossroads of tradition and innovation

FEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova, Andrej Mirossay, Erik Sedlak   +2 more
wiley   +1 more source