Results 71 to 80 of about 15,373 (302)

Nonlinear Fractal Interpolation Functions Induced by General Integral Contractions

Fractal and Fractional
The development of fractal set theory has been strongly driven by the introduction of new classes of fractal sets, among which the attractors of iterated function systems (IFSs) play a central role.
Taoufik Moulahi, Najmeddine Attia
doaj   +1 more source

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

Mathematical Modeling of Fractals via Proximal F-Iterated Function Systems

Axioms
We propose a novel approach to fractals by leveraging the approximation of fixed points, emphasizing the deep connections between fractal theory and fixed-point theory.
Muhammad Zahid, Fahim Ud Din, Mudasir Younis, Haroon Ahmad, Mahpeyker Öztürk   +4 more
doaj   +1 more source

Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]

Demonstratio Mathematica, 2021
Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison, Camrud Evan, Harding Steven N., McCarty Sarah, Sullivan Keith, Weber Eric S.   +5 more
doaj   +1 more source

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

Iterated function systems of holomorphic maps [PDF]

We unify and advance a host of works on iterated function systems of holomorphic self-maps of hyperbolic Riemann surfaces. Our foremost result is a generalisation to left iterated function systems of an unpublished and little known theorem of Heins on ...
Short, Ian, Abate, Marco
core   +1 more source

Overlapping iterated function systems on a segment [PDF]

, 2020
Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions ...
Igudesman K., Barnsley M.
core  

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Iterated function systems of logistic maps: Synchronization and intermittency [PDF]

, 2018
We discuss iterated function systems generated by finitely many logistic maps, with a focus on synchronization and intermittency. We provide sufficient conditions for synchronization, involving negative Lyapunov exponents and minimal dynamics.
Gharaei, M., Homburg, A.J., Gharaei, Masoumeh, Homburg, Ale Jan, Neda Abbasi, Abbasi, N., Abbasi, Neda, Ale Jan Homburg, Masoumeh Gharaei   +8 more
core   +1 more source

Graph-Theoretic Characterization of Separation Conditions in Self-Affine Iterated Function Systems

Fractal and Fractional
For a self-affine iterated function system (IFS) {fj}j=1N on Rd defined by fj(x)=A−1(x+dj), where A is an expansive matrix and dj∈Rd, we reveal a novel characterization of the open set and weak separation conditions through the bounded degree of the ...
Ming-Qi Bai, Jun Luo, Yi Wu
doaj   +1 more source