Local recurrence theory. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Feb 25, 2019 · We have also examined this relationship closely (e. According to this view, the content of those neural representations that are amplified, stabilized and integrated by local feedback loops are already conscious. Two of Poincaré's achievements which can be traced to this point of view are his theory of periodic solutions and his recurrence theorem. in 1953, when he analyzed the tissues adjacent to squamous cell carcinoma. recurrence were more likely to have a further local recurrence (1), i. And for patients who failed to receive preoperative treatment or operated by less 20 hours ago · A recurrence relation is an equation that uses recursion to relate terms in a sequence or elements in an array. 7 Detection of Local Recurrence. Mar 28, 2023 · PURPOSE Breast-conserving therapy (BCT) is the preferred treatment for unifocal breast cancer (BC). e. C ons c i ous ne s s , C ogni t i on & C om put a t i on G roup, U ni ve rs i t é L i bre de B ruxe l l e s , B e l gi um 2. Testing evolutionary metrics requires quantitative measurements in controlled clinical trials. Jan 8, 2021 · Results. 7%), and in the nipple-areolar complex in 9 (0. the distance between consecutive (but separated) recurrent structures in the vertical direction of the matrix. ) Apr 27, 2007 · We extend Molchan's argument by developing a simple semiquantitative theory, showing that the presence of the Omori-Utsu law destroys the self-similarity of the PDF of recurrence times. For decades, scientists have investigated how this theorem can be applied to the world of quantum physics. Mar 13, 2012 · I argue that the possibility of eternal recurrence turns on issues in personal identity and the metaphysics of time. , in the next five years, the sub- sequent local recurrence of those patients present- ing to us with a local recurrence was increased two- fold. In this paper, golden buckwheat was first applied to prevent post–operative tumor recurrence, which is a Sep 6, 2022 · In the 861 patients, 36 had local recurrence (4. 4. As I proceed, I also consider the relation between Nietzsche’s theory of eternal recurrence and theories of recurrence found in the work of Heraclitus, the Pythagoreans, and the Stoics. Mar 1, 2012 · Recurrent networks for system modeling learn and memorize information in terms of embedded weights [21]. Jul 11, 2024 · In the article that accompanies this editorial, Hahn et al 17 present data from a retrospective, population-based cohort demonstrating that the incorporation of molecular assays improved the estimate of the risk of an ipsilateral breast event, including both in situ and invasive local recurrence, compared with estimates on the basis of clinicopathologic features alone for patients with ductal Feb 22, 2018 · This "Poincaré Recurrence Theorem" is the foundation of modern chaos theory. Wu et al. May 3, 2022 · In one prominent re-entry theory — local recurrency theory — Lamme argues that localized recurrent or re-entrant processing within perceptual cortices is sufficient to give rise to Local Recurrency Theory (LR) holds that recurrent loops of neural activity localized to the visual cortex are necessary and sufficient for visual consciousness (if certain background conditions obtain). One of these approaches places the evaluation in a meta-analytic framework, leading to definitions in terms of trial- and individual-level association. Recurrence relations have applications in many areas of mathematics: number theory - the Fibonacci sequence combinatorics - distribution of objects into bins calculus - Euler's method and many more. From 19 publications, 272 local recurrences lesions were reported in a total of 4,787 patients. We will introduce the theory in several steps, from single neurons, to self-consistent theory of a recurrent network with simple synapses, to realistic synaptic models. 6,7 Jun 22, 2015 · In a physical neural system, where storage and processing are intimately intertwined, the rules for adjusting the synaptic weights can only depend on variables that are available locally, such as the activity of the pre- and post-synaptic neurons, resulting in local learning rules. When local recurrence is suspected after radiation treatment, MRI may be used to identify a target for biopsy and estimate the location and extent of the tumor. 3 While nearly all authors agree that tumor size is an important risk factor for local recurrence, little is known about the impact of other factors, such as tumor pathology, tumor location, or approach. The average latency period from NSM to the local recurrence of Paget’s disease was 32 months (range, 12–49 months) . Recurrence, according to Poincaré, implies that practically any phase trajectory leaving a point of the phase space will pass infinitely many times arbitrarily close to its initial state as it evolves in time. Aug 21, 1994 · Interactions between populations were represented by competitive feedback and transition rates. Recent Findings For selected patients with small ipsilateral breast tumor recurrences, partial-breast Dec 16, 2014 · This very long timescale is the ultimate "maximum duration" that may be discussed in physics. In the sigmoid-recurrent wavelet (S–RW), the output of wavelet function feedbacks to itself. Sep 9, 2018 · In man and other mammals, it has been consistently shown that the higher frequencies (γ band) are indicative of feedforward or local processing, while lower frequencies (α and β bands) are linked to feedback or recurrent processing and top-down influences. To achieve greater accuracy of recurrence, we need to take smaller initial volume, which means longer recurrence time. In one study, two radiologists retrospectively interpreted MRI examinations obtained before salvage prostatectomy in 45 patients who had had Jan 20, 2020 · In this section, we will prove the following. The oncologic safety of BCT for multiple ipsilateral breast cancer (MIBC) has not been demonstrated in a prospective study. However, such local processing, by itself, only leads to phenomenal consciousness that is otherwise inaccessible, and unreportable. A main point is how to Jan 21, 2015 · Invasive lobular carcinoma (ILC) typically presents at a later stage than invasive ductal carcinoma (IDC) and poses unique radiographic and surgical challenges. Half of these women experienced a recurrence within the 5 y … Sep 10, 2020 · PDF | We study the dynamical Borel-Cantelli lemma for recurrence sets in a measure preserving dynamical system $(X, \mu, T)$ with a compatible metric | Find, read and cite all the research you A local recurrence does not appear to affect overall survival, and salvage therapy provides excellent local control in the majority of cases. 1 [ 5 , Theorem 2. 90 Rates of resectability decrease with each recurrence, from 57% at first local recurrence to 33% at second recurrence and 14% at third recurrence Jul 7, 2021 · For local dendrite maps, the authors gave in , the following characterization of pointwise-recurrence: Theorem 4. We studied 998 BCT patients from 1998–2007 Nov 15, 2022 · And following the introduction of preoperative radiotherapy and total mesorectal excision (TME) technique, the local recurrence rate has decreased dramatically. 3. A different explanation ties perceptual consciousness to processing independent of the workspace, with focus on recurrent activity in sensory areas. Mar 1, 2012 · Request PDF | Local recurrent sigmoidal-wavelet neurons in feed-forward neural network for forecasting of dynamic systems: Theory | In this paper different structure of the neurons in the hidden Relations of the components of cognitive adaptation theory (self-esteem, optimism, control) to quality of life and benefit finding were examined for 70 women (91% Caucasian) diagnosed with Stage I, II, or III breast cancer over 5 years ago. 2014), are probably wrong. For example, if a calculation in field theory or string theory implies that the lifetime of a vacuum is longer than this Poincaré recurrence time, the decay is considered unphysical because "it cannot happen in time", anyway. Jul 12, 2024 · Cancer evolution lays the groundwork for predictive oncology. Webber and J. The local theory that has been developed over the past 100 years is largely complete and has become a classic. Having a strong understanding of Recurrence Relations play a great role in developing the problem-solving skills of an individual. Feb 1, 2021 · Recurrent Processing theory asserts that consciousness can arise through local recurrent processing between cortical modules, even in the absence of global or integrative cortical processes. (See "Surgical management of primary cutaneous melanoma or melanoma at other unusual sites", section on 'Resection margins' . However, repeat wide-excision surgery may offer good local control in a select group of patients. Moreover, a local feedback network is proposed in [4] employs the recurrent neurons with only sigmoidal activation function (SAF) in single hidden layer feed-forward network architecture. Originally published in 1981. It's something of a dark horse candidate, without the support of global workspace theory (GWT) or integrated information theory (IIT), but it gets more support among consciousness researchers than among general enthusiasts. local or global loops), whereas conscious access occurs only for global recurrence. This includes the quantification of recurrence plots, like the recurrence quantification analysis, which is highly effective to detect, e. The fundamental assumption of RP is that there exists a realized dynamical process in an observable time series (a sequence of observations) to represent the interaction among the relevant variables over time. And Section 4 contains the stability analysis. The local polynomial CQR regression method is a robust alternative to the widely-used local polynomial metho … Feb 10, 2012 · Background Paget’s disease is a rare clinical and histological type of local recurrence (LR) after breast cancer treatment both in case of conservative surgery or nipple-sparing mastectomy (NSM) with or without intraoperative radiation. In the analysis of recurrence plots, usually the "second type" of recurrence times as defined by Gao and Cai [1] are considered, i. This approach emphasizes properties of first-order neural representation as explaining consciousness. A drawback of this methodology is that different set … Feb 12, 2020 · Put simply, it's the theory that existence recurs in an infinite cycle as energy and matter transform over time. Aug 22, 2022 · In addition, to investigate if local recurrence (LR) within patients is different based on the therapeutic approach followed by the physician. Jan 25, 2020 · Victor Lamme's recurrent processing theory (RPT) remains on the short list of theories considered plausible by the consciousness science community. Jul 29, 2024 · Recurrence Relations play a significant role in analyzing and optimizing the complexity of algorithms. 12. Jul 1, 2010 · In the local recurrence theory of Lamme 15, 40, phenomenal experience is explicitly associated with any recurrent neuronal activity (i. Oct 9, 2018 · 3. Jan 1, 2024 · Local recurrence theory: claims that local recurrent activity is both necessary and sufficient for the occurrence of consciousness. Jan 1, 2014 · The fundamentals of the recurrence theory in the local approach are presented along with the key ideas and the results of analysis in the global approach. Then f is pointwise-recurrent if and only if one of the following two statements holds: Several type of recurrent network can be introduced by combining the output from SAF and WAF with product operator. Most local recurrence occurs within the first 5 years after diagnosis . Then in Section 5 , the feasibility and effectiveness of the proposed approach is verified by experiments. Distant recurrence (metastasis) Mar 1, 2012 · Local recurrent sigmoidal-wavelet neurons in feed-forward neural network for forecasting of dynamic systems: Theory Authors : Ahmad Banakar and Mohammad Fazle Azeem Authors Info & Claims Applied Soft Computing , Volume 12 , Issue 3 Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. If prefrontalism is correct, local recurrence theory (Lamme, 2015), micro-consciousness theory (Zeki, 2003), the ‘local ignition’ theory (Malach, 2021), and integrated information theory (Oizumi et al. The concept and the definition of field cancerization was first introduced by Slaughter et al. 18%), and among these, 7 had local recurrent Paget’s disease (0. retrospectively analyzed 962 breasts of 944 invasive breast cancer patients who underwent NSM May 1, 2012 · In Section 3, according to sliding mode control theory, the adaptive sliding mode control approach is studied based on local recurrent neural network. A patient with a large lesion >5 cm had about a 40% greater chance of a local recurrence than a patient with a lesion <5 cm Patients most likely to derive benefit from re-resection are those with longer disease-free intervals, no history of tumor rupture at initial operation, low-grade tumors, and unifocal recurrences. After autologous reconstruction (n=2,465), local recurrences were located in the skin in 45 (1. ) and would like to point out a few potential contradictions in the Pitts et al. Let \(f:~X\rightarrow X\) be a local dendrite map. Local recurrence is the return of cancer to the breast, chest wall or nearby lymph nodes after treatment. If you have a local recurrence, you’ll need more treatment. ACOSOG Z11102 (Alliance) is a phase II, single-arm, prospective trial designed to evaluate oncologic outcomes in patients undergoing BCT for MIBC. It means it is exploiting the functional Jul 15, 2023 · Purpose of Review Locoregional recurrence (LRR) of breast cancer represents a heterogenous spectrum of disease. ‘Recurrence’ is defined as the ability of a dynamic system to return to the proximity of the initial point in phase space, and, consequently, RQA was developed by C. Mar 3, 2014 · History of field cancerization. 1] Let \(f:~X \rightarrow X\) be a local dendrite map. 8%) patients, in the chest wall in 18 (0. Nevertheless, if the exponent of the Omori-Utsu law (3) is close to 1, i. All studies were gathered by utilization of the biggest online medical databases in the world including PubMed, Cochrane, Embase, Web of Science and Google Scholar. PATIENTS AND METHODS Local recurrence rate after radiofrequency coagulation (RFC) of liver tumors varies widely between 2% 1,2 and 60%. 4%). In this paper a theory of growth control is proposed to determine whether tumor dormancy, regression, and recurrence can be explained by a more unifying theory of signal processing. Zbilut [] to understand the behaviour of the phase-space trajectory of dynamical systems. there is a proof of Poincaré Jan 3, 2024 · To determine the role of recurrent activity in L2/3, we used holographic 2P optogenetics to drive small ensembles of L2/3 cells in the absence of visual stimuli, thereby isolating their local Apr 11, 2024 · Local recurrence. Feb 14, 2020 · In Recurrent Processing Theory (RPT), the unconscious functions of feature extraction and categorizations are mediated by the feedforward sweep, while conscious functions related to perceptual organization are mediated by recurrent (feedback, or re-entrant) cortico-cortical connections (Lamme, 2010). paper that require clarification, particularly in the attempt to reconcile aspects of recurrent processing theory (RPT) with global neuronal workspace theory (GNWT). Follow-up information defined local recurrence as the diagnosis of ipsilateral breast, chest wall, or regional lymph node recurrence of breast cancer three months after the first treatment. For a given phase in a volume, the recurrence is not necessarily a periodic recurrence. However, current principles of breast-conserving therapy (BCT) do not distinguish between histologic subtypes, raising uncertainty about the optimal approach for patients with ILC. 1. Theorem 2. To save this article to your Kindle, first ensure coreplatform@cambridge. , transitions in the dynamics of systems from time series. Some of the common uses of Recurrence Relations are: Time Complexity Analysis; Generalizing Divide and Conquer Jan 1, 2007 · After a brief outline of the theory of recurrences, the basic idea of the recurrence plot with its variations is presented. Sep 15, 2008 · The spectrum of Poincaré recurrence - Volume 28 Issue 6. We mapped genomic intratumor Jul 17, 2023 · To prevent local tumor recurrence caused by possible residual cancer cells after surgery, avoid toxicity of systemic chemotherapy and protect the fragile immune system of postsurgical patients, an increasing amount of attention has been paid to local anti–cancer drug delivery systems. g. It is a way to define a sequence or array in terms of itself. A systematic framework for studying the space of local learning rules is obtained by first specifying the nature Jan 2, 2020 · Recurrence plot (RP) theory [6, 7] is a relatively new technique for the qualitative assessment of time series in a dynamical system. Eternal recurrence—or “eternal return,” as it is sometimes called—can be described in different ways; roughly, the basic idea is that the whole history of the universe has happened before and will happen again; cosmic history is cyclic, with no beginning and no end. Recurrence Feb 16, 2021 · Recurrence quantification analysis (RQA) describes quantitatively the recurrence plot. Despite of these, local recurrence still occurs in about 4-10% of rectal cancer patients [21-23]. A new empirical challenge for local theories of consciousness Matthias Michel 1 ,2 & Adrien Doerig 3 1. The chapter is organized into two parts, which address the two general ingredients of a mean- eld theory for network The last two decades have seen a lot of development in the area of surrogate marker validation. g. 6 Local recurrence in rectal cancer is associated with lifestyle-altering symptoms, such as rectal Nov 1, 2022 · In theory, a wider excision with more generous margins might prevent this form of local recurrence. Methods We performed an analysis of 861 NSM with electron beam intraoperative radiotherapy (ELIOT) patients treated at the European Institute of Oncology Jan 30, 2024 · Eventually, a total of 1629 patients’ data were collected after ruling out cases with incomplete data collection and lack of follow-up. , θ ≪ 1, then, the PDF of recurrence times approximately obeys a nonexponential Jan 1, 2013 · The so-called Poincaré recurrence is one of the fundamental features pertaining to the time evolution of dynamical systems. 5 Risk factors for local recurrence include anastomotic leak, incomplete (non-R0) resection, intraoperative tumor perforation, high-grade pathology, and lack of adjuvant therapies. org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. In this paper, we study the local polynomial composite quantile regression (CQR) smoothing method for the nonlinear and nonparametric models under the Harris recurrent Markov chain framework. Jun 7, 2007 · Treatments that had little or no effect on decreasing the 5-year rate of local recurrence had no benefit in terms of reducing 15-year breast-cancer mortality; however, treatments that led to an Oct 17, 2018 · Nonsurgical candidates fared worse, with a 5-year OS rate <5%. To illustrate the potential of a recurrence analysis by means of complex network theory, we consider several global and local network measures that are well studied in literature [27]. Jun 15, 2021 · Oligorecurrence is an intermediate state between locally confined recurrence and widespread distant metastasis, in which recurrent lesions are limited in number and location (usually ≤ 5). M i nd, B ra i n a nd C ons c i ous ne s s C e nt e r, N e w Y ork U ni ve rs i t y, U S A 3. Learn about treatment for local breast cancer recurrence. Dec 3, 2012 · This follows from the theory of eternal recurrence. Nov 9, 2009 · Local and global properties of a network are statistically described by complex network measures based on the adjacency matrix A i, j. . The intent of this review is to discuss recent studies and modern management of isolated LRR. The models developed earlier form the basis for this analysis. 8%). 2 Recurrent Processing Theory. Treatment strategies are tailored to each patient and are impacted by multiple factors. type of mean- eld theory in its current state. In the former of these, the topological nature of the phase space plays a key role; Poincaré showed how an essentially topological analysis of orbits, under certain conditions, can be used to establish the The recurrence time depends on the required degree of closeness (the size of the phase volume). Aug 9, 2023 · In Ergodic Theory with a view towards Number Theory book, of Einsiedler and Ward, there is a proof of Poincaré Recurrence. The proper salvage therapy is evolving, with mastectomy the current standard. The output of the sigmoid function feedback to itself results in a recurrent sigmoid–wavelet (RS–W). 12 The concept was first examined in the aerodigestive tract, where multiple primary tumors and local recurrent tumors originate from the anaplastic tendency of multiple cells. In ancient Greece, the Stoics believed that the universe went through repeating stages of transformation similar to those found in the "wheel of time" of Hinduism and Buddhism. knacnqbhcqocqeqbxuamlcauflnueoeeffkfhsrxqlzqrfxej