21 papers · ranked by Valyu relevance
Charles L. Webber Jr.
By definition, fractal structures possess recurrent patterns. At different levels repeating patterns can be visualized at higher magnifications. The purpose of this chapter is threefold. First, general characteristics of dynamical systems are addressed from a theoretical mathematical perspective. Second, qualitative…
Sebastian Wallot, Giuseppe Leonardi
This paper provides a practical, hands-on introduction to cross-recurrence quantification analysis (CRQA), diagonal cross-recurrence profiles (DCRP), and multidimensional recurrence quantification analysis (MdRQA) in R. These methods have enjoyed increasing popularity in the cognitive and social sciences since a…
Munn-Sann Lye, Yin-Yee Tey, Yin-Sim Tor, Aisya Farhana Shahabudin + 10 more
'Normala Ibrahim' 'King-Hwa Ling' 'Johnson Stanslas' 'Su-Peng Loh' 'Rozita Rosli' 'Khairul Aiman Lokman' 'Ibrahim Mohammed Badamasi' 'Asraa Faris-Aldoghachi' 'Nurul Asyikin Abdul Razak' 'Zezhi Li'] A total of 201 patients with major depressive disorder from four hospitals in Malaysia were followed up for 5 years to…
Gabriel Marghoti, Matheus Palmero Silva, Thiago de Lima Prado, Sergio Roberto Lopes + 2 more
1 Physics Department, Federal University of Paran´a, Curitiba, Paran´a 81530-015, Brazil 2 Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Telegraphenberg, 14473 Potsdam, Germany 3 Institute of Mathematical and Computer Sciences, University of S˜ao Paulo, 13560-970 S˜ao Carlos, SP…
Tamara Tošić, Kristin K. Sellers, Flavio Fröhlich, Mariia Fedotenkova + 2 more
'Mariia Fedotenkova' 'Peter beim Graben' 'Axel Hutt'] For decades, research in neuroscience has supported the hypothesis that brain dynamics exhibits recurrent metastable states connected by transients, which together encode fundamental neural information processing. To understand the system's dynamics it is important…
Bernard Host, Bryna Kra, Alejandro Maass
Recurrence properties of systems and associated sets of integers that suffice for recurrence are classical objects in topological dynamics. We describe relations between recurrence in different sorts of systems, study ways to formulate finite versions of recurrence, and describe connections to combinatorial problems.…
Rahul Valiya Veettil, Noah Eyal Altman, Ruth Hashkes, Eitan Rubin
Recurrence is a major challenge for breast cancer (BC) management, yet its mechanism is poorly understood. Although computational analysis of expression compendia has proved useful for studying BC recurrence, some recently developed methods have not been used for this purpose. Here we present a bioinformatics…
Martin Lames, Sebastian Hermann, René Prüßner, Hendrik Meth
A widely accepted notion of football matches in performance analysis (PA) is to consider them as dynamic interaction processes with emerging behaviors. The description and analysis of these processes requires specific methods. Recurrence analysis is a technique for analyzing complex systems in many domains like…
Guênia Ladeira, Norbert Marwan, João-Batista Destro-Filho, Camila Davi Ramos + 1 more
'Camila Davi Ramos' 'Gabriela Lima'] In this paper, we present the new frequency spectrum recurrence analysis technique by means of electro-encephalon signals (EES) analyses. The technique is suitable for time series analysis with noise and disturbances. EES were collected, and alpha waves of the occipital region were…
Lee Curtin, Andrea Hawkins-Daarud, Alyx B. Porter, Kristoffer G. van der Zee + 2 more
Glioblastoma (GBM) is the most aggressive primary brain tumor with a short median survival. Tumor recurrence is a clinical expectation of this disease and usually occurs along the resection cavity wall. However, previous clinical observations have suggested that in cases of ischemia following surgery, tumors are more…
Rémy Chicheportiche, Anirban Chakraborti
Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged autocorrelation function, or disregarded the multi-scaling properties induced by potential…
Leonardo M. Santana, Shridar Ganesan, Gyan Bhanot
A major cause of chemoresistance and recurrence in tumors is the presence of dormant tumor foci that survive chemotherapy and can eventually transition to active growth to regenerate the cancer. In this paper, we propose a Quasi Birth-and-Death (QBD) model for the dynamics of tumor growth and recurrence/remission of…
Michael Boshernitzan, Nikos Frantzikinakis, Μáté Wierdl
The Khintchine recurrence theorem asserts that in a measure preserving system, for every set A and ε > 0, we have µ(A∩T −nA) ≥ µ(A) 2 −ε for infinitely many n ∈ N. We show that there are systems having under-recurrent sets A, in the sense that the inequality µ(A ∩ T −nA) < µ(A) 2 holds for every n ∈ N. In particular…
Elizabeth HJ Robbins, Yi Liu, Steven Kelly
Identifying recurrent changes in biological sequences is important to multiple aspects of biological research -from understanding the molecular basis of convergent phenotypes, to pinpointing the causative sequence changes that give rise to antibiotic resistance and disease. Here, we present RECUR, a method for…
Pranav Hanagal, Kevin Leder, Zicheng Wang
We study large deviation events in the timing of disease recurrence. In particular, we are interested in modeling cancer treatment failure due to mutation induced drug resistance. We first present a two-type branching process model of this phenomenon, where an initial population of cells that are sensitive to therapy…
Katie Storey, Kevin Leder, Andrea Hawkins-Daarud, Kristin Swanson + 3 more
Tumor recurrence in glioblastoma multiforme (GBM) is often attributed to acquired resistance to the standard chemotherapeutic agent temozolomide (TMZ). Promoter methylation of the DNA repair gene MGMT has been associated with sensitivity to TMZ, while increased expression of MGMT has been associated with TMZ…
Michael Kochler
We consider a recurrent RWRE (Xn)n∈N0 on Z and investigate the quenched return probabilities of the RWRE to the origin for which we state results on their decay in terms of summability. Additionally, we give some examples for recurrent RWRE with a multidimensional state space which give reason for the part "strong…
Authors not listed
A framework for catalysis based on categorical aperture selection rather than temporal acceleration is presented. Traditional catalysis theory describes catalysts as agents that accelerate reactions by lowering activation energies, implicitly treating time as the fundamental variable and reaction rate enhancement as…
Ignacio Gustin, Chang Kim, David McCamant, Ignacio Franco
Establishing the fundamental chemical principles that govern molecular electronic quantum decoherence has remained an outstanding challenge. Fundamental questions such as how solvent and intramolecular vibrations or chemical functionalization contribute to the decoherence remain unanswered and are beyond the reach of…
Duncan Bossion, Sutirtha Chowdhury, Pengfei Huo
We present the rigorous theoretical framework of the generalized spin mapping representation for non- adiabatic dynamics. This formalism is based on the generators of the su(N) Lie algebra to represent N discrete electronic states, thus preserving the size of the original Hilbert space in the state representation. The…
Authors not listed
Dynamics of population growth or enzyme kinetics do not follow a constant rate making them difficult to quantify. Therefore, a single measure of dynamics is desired to profile the kinetic activities of enzymes with respect to various substrates. In this work, we use a growth model to model enzyme kinetics and provide a…