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1.
Cell Death Dis ; 15(10): 731, 2024 Oct 06.
Artículo en Inglés | MEDLINE | ID: mdl-39370432

RESUMEN

Multiple myeloma (MM) is linked to chronic NF-κB activity in myeloma cells, but this activity is generally considered a cell-autonomous property of the cancer cells. The precise extent of NF-κB activation and the contributions of the physical microenvironment and of cell-to-cell communications remain largely unknown. By quantitative immunofluorescence, we found that NF-κB is mildly and heterogeneously activated in a fraction of MM cells in human BMs, while only a minority of MM cells shows a strong activation. To gain quantitative insights on NF-κB activation in living MM cells, we combined advanced live imaging of endogenous p65 Venus-knocked-in in MM.1S and HS-5 cell lines to model MM and mesenchymal stromal cells (MSCs), cell co-cultures, microfluidics and custom microbioreactors to mimic the 3D-interactions within the bone marrow (BM) microenvironment. We found that i) reciprocal MM-MSC paracrine crosstalk and cell-to-scaffold interactions shape the inflammatory response in the BM; ii) the pro-inflammatory cytokine IL-1ß, abundant in MM patients' plasma, activates MSCs, whose paracrine signals are responsible for strong NF-κB activation in a minority of MM cells; iii) IL-1ß, but not TNF-α, activates NF-κB in vivo in BM-engrafted MM cells, while its receptor inhibitor Anakinra reduces the global NF-κB activation. We propose that NF-κB activation in the BM of MM patients is mild, restricted to a minority of cells and modulated by the interplay of restraining physical microenvironmental cues and activating IL-1ß-dependent stroma-to-MM crosstalk.


Asunto(s)
Técnicas de Cocultivo , Células Madre Mesenquimatosas , Mieloma Múltiple , FN-kappa B , Mieloma Múltiple/metabolismo , Mieloma Múltiple/patología , Mieloma Múltiple/genética , Humanos , Células Madre Mesenquimatosas/metabolismo , FN-kappa B/metabolismo , Línea Celular Tumoral , Interleucina-1beta/metabolismo , Microambiente Tumoral , Comunicación Celular , Células del Estroma/metabolismo , Células del Estroma/patología , Comunicación Paracrina , Transducción de Señal , Factor de Transcripción ReIA/metabolismo
2.
Mol Psychiatry ; 2024 Sep 03.
Artículo en Inglés | MEDLINE | ID: mdl-39227432

RESUMEN

Valproic acid (VPA) is an effective and widely used anti-seizure medication but is teratogenic when used during pregnancy, affecting brain and spinal cord development for reasons that remain largely unclear. Here we designed a genetic recombinase-based SOX10 reporter system in human pluripotent stem cells that enables tracking and lineage tracing of Neural Crest cells (NCCs) in a human organoid model of the developing neural tube. We found that VPA induces extensive cellular senescence and promotes mesenchymal differentiation of human NCCs. We next show that the clinically approved drug Rapamycin inhibits senescence and restores aberrant NCC differentiation trajectory after VPA exposure in human organoids and in developing zebrafish, highlighting the therapeutic promise of this approach. Finally, we identify the pioneer factor AP1 as a key element of this process. Collectively our data reveal cellular senescence as a central driver of VPA-associated neurodevelopmental teratogenicity and identifies a new pharmacological strategy for prevention. These results exemplify the power of genetically modified human stem cell-derived organoid models for drug discovery.

3.
iScience ; 26(12): 108573, 2023 Dec 15.
Artículo en Inglés | MEDLINE | ID: mdl-38144455

RESUMEN

Transcription factor dynamics is fundamental to determine the activation of accurate transcriptional programs and yet is heterogeneous at a single-cell level, even within homogeneous populations. We asked how such heterogeneity emerges for the nuclear factor κB (NF-κB). We found that clonal populations of immortalized fibroblasts derived from a single mouse embryo display robustly distinct NF-κB dynamics upon tumor necrosis factor ɑ (TNF-ɑ) stimulation including persistent, oscillatory, and weak activation, giving rise to differences in the transcription of its targets. By combining transcriptomics and simulations we show how less than two-fold differences in the expression levels of genes coding for key proteins of the signaling cascade and feedback system are predictive of the differences of the NF-κB dynamic response of the clones to TNF-ɑ and IL-1ß. We propose that small transcriptional differences in the regulatory circuit of a transcription factor can lead to distinct signaling dynamics in cells within homogeneous cell populations and among different cell types.

4.
Rheumatology (Oxford) ; 62(10): 3469-3479, 2023 10 03.
Artículo en Inglés | MEDLINE | ID: mdl-36802235

RESUMEN

OBJECTIVE: Trained immunity (TI) is a de facto memory program of innate immune cells, characterized by immunometabolic and epigenetic changes sustaining enhanced production of cytokines. TI evolved as a protective mechanism against infections; however, inappropriate activation can cause detrimental inflammation and might be implicated in the pathogenesis of chronic inflammatory diseases. In this study, we investigated the role of TI in the pathogenesis of giant cell arteritis (GCA), a large-vessel vasculitis characterized by aberrant macrophage activation and excess cytokine production. METHODS: Monocytes from GCA patients and from age- and sex-matched healthy donors were subjected to polyfunctional studies, including cytokine production assays at baseline and following stimulation, intracellular metabolomics, chromatin immunoprecipitation-qPCR, and combined ATAC/RNA sequencing. Immunometabolic activation (i.e. glycolysis) was assessed in inflamed vessels of GCA patients with FDG-PET and immunohistochemistry (IHC), and the role of this pathway in sustaining cytokine production was confirmed with selective pharmacologic inhibition in GCA monocytes. RESULTS: GCA monocytes exhibited hallmark molecular features of TI. Specifically, these included enhanced IL-6 production upon stimulation, typical immunometabolic changes (e.g. increased glycolysis and glutaminolysis) and epigenetic changes promoting enhanced transcription of genes governing pro-inflammatory activation. Immunometabolic changes of TI (i.e. glycolysis) were a feature of myelomonocytic cells in GCA lesions and were required for enhanced cytokine production. CONCLUSIONS: Myelomonocytic cells in GCA activate TI programs sustaining enhanced inflammatory activation with excess cytokine production.


Asunto(s)
Arteritis de Células Gigantes , Humanos , Arteritis de Células Gigantes/patología , Monocitos/metabolismo , Inmunidad Entrenada , Inflamación , Citocinas
5.
Front Immunol ; 13: 886127, 2022.
Artículo en Inglés | MEDLINE | ID: mdl-35844496

RESUMEN

The transcription factor family of nuclear factor kappa B (NF-κB) proteins is widely recognized as a key player in inflammation and the immune responses, where it plays a fundamental role in translating external inflammatory cues into precise transcriptional programs, including the timely expression of a wide variety of cytokines/chemokines. Live cell imaging in single cells showed approximately 15 years ago that the canonical activation of NF-κB upon stimulus is very dynamic, including oscillations of its nuclear localization with a period close to 1.5 hours. This observation has triggered a fruitful interdisciplinary research line that has provided novel insights on the NF-κB system: how its heterogeneous response differs between cell types but also within homogeneous populations; how NF-κB dynamics translate external cues into intracellular signals and how NF-κB dynamics affects gene expression. Here we review the main features of this live cell imaging approach to the study of NF-κB, highlighting the key findings, the existing gaps of knowledge and hinting towards some of the potential future steps of this thriving research field.


Asunto(s)
FN-kappa B , Transducción de Señal , Regulación de la Expresión Génica , Humanos , Inflamación , FN-kappa B/metabolismo , Factores de Transcripción/metabolismo
6.
Blood ; 138(17): 1554-1569, 2021 10 28.
Artículo en Inglés | MEDLINE | ID: mdl-34077954

RESUMEN

Trained immunity (TI) is a proinflammatory program induced in monocyte/macrophages upon sensing of specific pathogens and is characterized by immunometabolic and epigenetic changes that enhance cytokine production. Maladaptive activation of TI (ie, in the absence of infection) may result in detrimental inflammation and development of disease; however, the exact role and extent of inappropriate activation of TI in the pathogenesis of human diseases is undetermined. In this study, we uncovered the oncogene-induced, maladaptive induction of TI in the pathogenesis of a human inflammatory myeloid neoplasm (Erdheim-Chester disease, [ECD]), characterized by the BRAFV600E oncogenic mutation in monocyte/macrophages and excess cytokine production. Mechanistically, myeloid cells expressing BRAFV600E exhibit all molecular features of TI: activation of the AKT/mammalian target of rapamycin signaling axis; increased glycolysis, glutaminolysis, and cholesterol synthesis; epigenetic changes on promoters of genes encoding cytokines; and enhanced cytokine production leading to hyperinflammatory responses. In patients with ECD, effective therapeutic strategies combat this maladaptive TI phenotype; in addition, pharmacologic inhibition of immunometabolic changes underlying TI (ie, glycolysis) effectively dampens cytokine production by myeloid cells. This study revealed the deleterious potential of inappropriate activation of TI in the pathogenesis of human inflammatory myeloid neoplasms and the opportunity for inhibition of TI in conditions characterized by maladaptive myeloid-driven inflammation.


Asunto(s)
Enfermedad de Erdheim-Chester/genética , Inflamación/genética , Proteínas Proto-Oncogénicas B-raf/genética , Células Cultivadas , Epigénesis Genética , Enfermedad de Erdheim-Chester/inmunología , Enfermedad de Erdheim-Chester/patología , Humanos , Inmunidad , Inflamación/inmunología , Inflamación/patología , Macrófagos/inmunología , Macrófagos/metabolismo , Macrófagos/patología , Oncogenes , Mutación Puntual , Proteínas Proto-Oncogénicas B-raf/inmunología
7.
EMBO Mol Med ; 13(6): e12344, 2021 06 07.
Artículo en Inglés | MEDLINE | ID: mdl-33956406

RESUMEN

Boosting antitumor immunity has emerged as a powerful strategy in cancer treatment. While releasing T-cell brakes has received most attention, tumor recognition by T cells is a pre-requisite. Radiotherapy and certain cytotoxic drugs induce the release of damage-associated molecular patterns, which promote tumor antigen cross-presentation and T-cell priming. Antibodies against the "do not eat me" signal CD47 cause macrophage phagocytosis of live tumor cells and drive the emergence of antitumor T cells. Here we show that CXCR4 activation, so far associated only with tumor progression and metastasis, also flags tumor cells to immune recognition. Both CXCL12, the natural CXCR4 ligand, and BoxA, a fragment of HMGB1, promote the release of DAMPs and the internalization of CD47, leading to protective antitumor immunity. We designate as Immunogenic Surrender the process by which CXCR4 turns in tumor cells to macrophages, thereby subjecting a rapidly growing tissue to immunological scrutiny. Importantly, while CXCL12 promotes tumor cell proliferation, BoxA reduces it, and might be exploited for the treatment of malignant mesothelioma and a variety of other tumors.


Asunto(s)
Antígeno CD47 , Mesotelioma , Animales , Línea Celular Tumoral , Inmunización , Macrófagos , Mesotelioma/inmunología , Mesotelioma/metabolismo , Mesotelioma/terapia , Ratones , Fagocitosis
8.
Nat Genet ; 52(12): 1397-1411, 2020 12.
Artículo en Inglés | MEDLINE | ID: mdl-33169020

RESUMEN

The genetic elements required to tune gene expression are partitioned in active and repressive nuclear condensates. Chromatin compartments include transcriptional clusters whose dynamic establishment and functioning depend on multivalent interactions occurring among transcription factors, cofactors and basal transcriptional machinery. However, how chromatin players contribute to the assembly of transcriptional condensates is poorly understood. By interrogating the effect of KMT2D (also known as MLL4) haploinsufficiency in Kabuki syndrome, we found that mixed lineage leukemia 4 (MLL4) contributes to the assembly of transcriptional condensates through liquid-liquid phase separation. MLL4 loss of function impaired Polycomb-dependent chromatin compartmentalization, altering the nuclear architecture. By releasing the nuclear mechanical stress through inhibition of the mechanosensor ATR, we re-established the mechanosignaling of mesenchymal stem cells and their commitment towards chondrocytes both in vitro and in vivo. This study supports the notion that, in Kabuki syndrome, the haploinsufficiency of MLL4 causes an altered functional partitioning of chromatin, which determines the architecture and mechanical properties of the nucleus.


Asunto(s)
Anomalías Múltiples/genética , Núcleo Celular/fisiología , Cromatina/metabolismo , Cara/anomalías , Haploinsuficiencia/genética , Enfermedades Hematológicas/genética , N-Metiltransferasa de Histona-Lisina/genética , Enfermedades Vestibulares/genética , Células 3T3 , Animales , Línea Celular , Linaje de la Célula/genética , Condrocitos/citología , Condrogénesis/genética , Regulación de la Expresión Génica/genética , Células HEK293 , Humanos , Mecanotransducción Celular/fisiología , Células Madre Mesenquimatosas/citología , Ratones , Osteocitos/citología , Osteogénesis/genética , Proteínas del Grupo Polycomb/genética , Estrés Mecánico
9.
iScience ; 23(9): 101529, 2020 Sep 25.
Artículo en Inglés | MEDLINE | ID: mdl-33083759

RESUMEN

Nuclear factor (NF)-κB controls the transcriptional response to inflammatory signals by translocating into the nucleus, but we lack a single-cell characterization of the resulting transcription dynamics. Here we show that upon tumor necrosis factor (TNF)-α transcription of NF-κB target genes is heterogeneous in individual cells but results in an average nascent transcription profile that is prompt (i.e., occurs almost immediately) and sharp (i.e., increases and decreases rapidly) compared with NF-κB nuclear localization. Using an NF-κB-controlled MS2 reporter we show that the single-cell nascent transcription is more heterogeneous than NF-κB translocation dynamics, with a fraction of synchronized "first responders" that shape the average transcriptional profile and are more prone to respond to multiple TNF-α stimulations. A mathematical model combining NF-κB-mediated gene activation and a gene refractory state is able to reproduce these features. Our work shows how the expression of target genes induced by transcriptional activators can be heterogeneous across single cells and yet time resolved on average.

10.
J Vis Exp ; (146)2019 04 13.
Artículo en Inglés | MEDLINE | ID: mdl-31033961

RESUMEN

Nuclear positioning within cells is important for multiple cellular processes in development and regeneration. The most intriguing example of nuclear positioning occurs during skeletal muscle differentiation. Muscle fibers (myofibers) are multinucleated cells formed by the fusion of muscle precursor cells (myoblasts) derived from muscle stem cells (satellite cells) that undergo proliferation and differentiation. Correct nuclear positioning within myofibers is required for the proper muscle regeneration and function. The common procedure to assess myoblast differentiation and myofiber formation relies on fixed cells analyzed by immunofluorescence, which impedes the study of nuclear movement and cell behavior over time. Here, we describe a method for the analysis of myoblast differentiation and myofiber formation by live cell imaging. We provide a software for automated nuclear tracking to obtain a high-throughput quantitative characterization of nuclear dynamics and myoblast behavior (i.e., the trajectory) during differentiation and fusion.


Asunto(s)
Diferenciación Celular , Núcleo Celular/metabolismo , Imagen Molecular , Mioblastos/citología , Animales , Fusión Celular , Supervivencia Celular , Ratones , Músculo Esquelético/citología , Células Satélite del Músculo Esquelético/citología
11.
Biomedicines ; 6(2)2018 Apr 17.
Artículo en Inglés | MEDLINE | ID: mdl-29673148

RESUMEN

In this review, we aim at describing the results obtained in the past years on dynamics features defining NF-κB regulatory functions, as we believe that these developments might have a transformative effect on the way in which NF-κB involvement in cancer is studied. We will also describe technical aspects of the studies performed in this context, including the use of different cellular models, culture conditions, microscopy approaches and quantification of the imaging data, balancing their strengths and limitations and pointing out to common features and to some open questions. Our emphasis in the methodology will allow a critical overview of literature and will show how these cutting-edge approaches can contribute to shed light on the involvement of NF-κB deregulation in tumour onset and progression. We hypothesize that this “dynamic point of view” can be fruitfully applied to untangle the complex relationship between NF-κB and cancer and to find new targets to restrain cancer growth.

12.
Virulence ; 8(6): 719-740, 2017 08 18.
Artículo en Inglés | MEDLINE | ID: mdl-27575017

RESUMEN

The eukaryotic transcriptional regulator Nuclear Factor kappa B (NF-κB) plays a central role in the defense to pathogens. Despite this, few studies have analyzed NF-κB activity in single cells during infection. Here, we investigated at the single cell level how NF-κB nuclear localization - a proxy for NF-κB activity - oscillates in infected and uninfected fibroblasts co-existing in cultures exposed to Salmonella enterica serovar Typhimurium. Fibroblasts were used due to the capacity of S. Typhimurium to persist in this cell type. Real-time dynamics of NF-κB was examined in microfluidics, which prevents cytokine accumulation. In this condition, infected (ST+) cells translocate NF-κB to the nucleus at higher rate than the uninfected (ST-) cells. Surprisingly, in non-flow (static) culture conditions, ST- fibroblasts exhibited higher NF-κB nuclear translocation than the ST+ population, with these latter cells turning refractory to external stimuli such as TNF-α or a second infection. Sorting of ST+ and ST- cell populations confirmed enhanced expression of NF-κB target genes such as IL1B, NFKBIA, TNFAIP3, and TRAF1 in uninfected (ST-) fibroblasts. These observations proved that S. Typhimurium dampens the NF-κB response in the infected fibroblast. Higher expression of SOCS3, encoding a "suppressor of cytokine signaling," was also observed in the ST+ population. Intracellular S. Typhimurium subverts NF-κB activity using protein effectors translocated by the secretion systems encoded by pathogenicity islands 1 (T1) and 2 (T2). T1 is required for regulating expression of SOCS3 and all NF-κB target genes analyzed whereas T2 displayed no role in the control of SOCS3 and IL1B expression. Collectively, these data demonstrate that S. Typhimurium attenuates NF-κB signaling in fibroblasts, an effect only perceptible when ST+ and ST- populations are analyzed separately. This tune-down in a central host defense might be instrumental for S. Typhimurium to establish intracellular persistent infections.


Asunto(s)
Fibroblastos/microbiología , FN-kappa B/metabolismo , Salmonella typhimurium/patogenicidad , Línea Celular , Fibroblastos/efectos de los fármacos , Fibroblastos/metabolismo , Humanos , Interleucina-1beta/genética , Microfluídica , Inhibidor NF-kappaB alfa/genética , FN-kappa B/genética , Salmonella typhimurium/efectos de los fármacos , Salmonella typhimurium/metabolismo , Transducción de Señal , Análisis de la Célula Individual , Proteína 3 Supresora de la Señalización de Citocinas/genética , Factor 1 Asociado a Receptor de TNF/genética , Imagen de Lapso de Tiempo , Proteína 3 Inducida por el Factor de Necrosis Tumoral alfa/genética , Factor de Necrosis Tumoral alfa/farmacología
13.
Elife ; 5: e09100, 2016 Jan 14.
Artículo en Inglés | MEDLINE | ID: mdl-26765569

RESUMEN

Several transcription factors (TFs) oscillate, periodically relocating between the cytoplasm and the nucleus. NF-κB, which plays key roles in inflammation and cancer, displays oscillations whose biological advantage remains unclear. Recent work indicated that NF-κB displays sustained oscillations that can be entrained, that is, reach a persistent synchronized state through small periodic perturbations. We show here that for our GFP-p65 knock-in cells NF-κB behaves as a damped oscillator able to synchronize to a variety of periodic external perturbations with no memory. We imposed synchronous dynamics to prove that transcription of NF-κB-controlled genes also oscillates, but mature transcript levels follow three distinct patterns. Two sets of transcripts accumulate fast or slowly, respectively. Another set, comprising chemokine and chemokine receptor mRNAs, oscillates and resets at each new stimulus, with no memory of the past. We propose that TF oscillatory dynamics is a means of segmenting time to provide renewing opportunity windows for decision.


Asunto(s)
Fibroblastos/fisiología , Regulación de la Expresión Génica , FN-kappa B/metabolismo , Animales , Línea Celular , Perfilación de la Expresión Génica , Ratones , Transcripción Genética
14.
Artículo en Inglés | MEDLINE | ID: mdl-26382436

RESUMEN

Gene expression is an inherently stochastic process that depends on the structure of the biochemical regulatory network in which the gene is embedded. Here we study the dynamical consequences of the interplay between stochastic gene switching and the widespread negative feedback regulatory loop in a simple model of a biochemical regulatory network. Using a simplified hybrid simulation approach, in which only the gene activation is modeled stochastically, we find that stochasticity in gene switching by itself can induce pulses in the system, providing also analytical insights into their origin. Furthermore, we find that this simple network is able to reproduce both exponential and peaked distributions of gene active and inactive times similar to those that have been observed experimentally. This simplified hybrid simulation approach also allows us to link these patterns to the dynamics of the system for each gene state.


Asunto(s)
Retroalimentación Fisiológica/fisiología , Expresión Génica/fisiología , Modelos Biológicos , Modelos Genéticos , Simulación por Computador , Procesos Estocásticos
15.
PLoS One ; 9(3): e90104, 2014.
Artículo en Inglés | MEDLINE | ID: mdl-24595030

RESUMEN

NF-κB is a transcription factor that upon activation undergoes cycles of cytoplasmic-to-nuclear and nuclear-to-cytoplasmic transport, giving rise to so called "oscillations". In turn, oscillations tune the transcriptional output. Since a detailed understanding of oscillations requires a systems biology approach, we developed a method to acquire and analyze large volumes of data on NF-κB dynamics in single cells. We measured the time evolution of the nuclear to total ratio of GFP-p65 in knock-in mouse embryonic fibroblasts using time-lapse imaging. We automatically produced a precise segmentation of nucleus and cytoplasm based on an accurate estimation of the signal and image background. Finally, we defined a set of quantifiers that describe the oscillatory dynamics, which are internally normalized and can be used to compare data recorded by different labs. Using our method, we analyzed NF-κB dynamics in over 2000 cells exposed to different concentrations of TNF- α α. We reproduced known features of the NF-κB system, such as the heterogeneity of the response in the cell population upon stimulation and we confirmed that a fraction of the responding cells does not oscillate. We also unveiled important features: the second and third oscillatory peaks were often comparable to the first one, a basal amount of nuclear NF-κB could be detected in unstimulated cells, and at any time a small fraction of unstimulated cells showed spontaneous random activation of the NF-κB system. Our work lays the ground for systematic, high-throughput, and unbiased analysis of the dynamics of transcription factors that can shuttle between the nucleus and other cell compartments.


Asunto(s)
Núcleo Celular/metabolismo , Ensayos Analíticos de Alto Rendimiento , FN-kappa B/metabolismo , Transducción de Señal , Análisis de la Célula Individual , Animales , Núcleo Celular/efectos de los fármacos , Análisis por Conglomerados , Embrión de Mamíferos/citología , Fibroblastos/efectos de los fármacos , Fibroblastos/metabolismo , Proteínas Fluorescentes Verdes/metabolismo , Ratones , Células 3T3 NIH , Transporte de Proteínas/efectos de los fármacos , Transducción de Señal/efectos de los fármacos , Factor de Transcripción ReIA/metabolismo , Factor de Necrosis Tumoral alfa/farmacología
16.
J Theor Biol ; 347: 44-53, 2014 Apr 21.
Artículo en Inglés | MEDLINE | ID: mdl-24447586

RESUMEN

The mathematical modeling of the NF-κB oscillations has attracted considerable attention in recent times, but there is a lack of simple models in the literature that can capture the main features of the dynamics of this important transcription factor. For this reason we propose a simple model that summarizes the key steps of the NF-κB pathway. We show that the resulting 5-dimensional dynamical system can reproduce different phenomena observed in experiments. Our model can display smooth and spiky oscillations in the amount of nuclear NF-κB and can reproduce the variety of dynamics observed when different stimulations such as TNF-α and LPS are used. Furthermore we show that the model can be easily extended to reproduce the expression of early, intermediate and late genes upon stimulation. As a final example we show that our simple model can mimic the different transcriptional outputs observed when cells are treated with two different drugs leading to nuclear localization of NF-κB: Leptomycin B and Cycloheximide.


Asunto(s)
Modelos Teóricos , FN-kappa B/metabolismo , Transcripción Genética
17.
Phys Rev E Stat Nonlin Soft Matter Phys ; 79(2 Pt 2): 026217, 2009 Feb.
Artículo en Inglés | MEDLINE | ID: mdl-19391830

RESUMEN

In this paper we make a thorough exploration of the technique of partial control of chaotic systems. This control technique allows one to keep the trajectories of a dynamical system close to a chaotic saddle even if the control applied is smaller than the effects of environmental noise in the system, provided that the chaotic saddle is due to the existence of a horseshoelike mapping in phase space. We state this here in a mathematically precise way using the Conley-Moser conditions, and we prove that they imply that our partial control strategy can be applied. We also give an upper bound of the control-noise ratio needed to achieve this goal, and we describe how this technique can be applied for large noise values. Finally, we study in detail the effect of imperfect targeting in our control technique. All these results are illustrated numerically with the paradigmatic Hénon map.

18.
Phys Rev E Stat Nonlin Soft Matter Phys ; 78(1 Pt 2): 016205, 2008 Jul.
Artículo en Inglés | MEDLINE | ID: mdl-18764033

RESUMEN

In this paper we study how to avoid escapes in open dynamical systems in the presence of dissipation and forcing, as it occurs in realistic physical situations. We use as a prototype model the Helmholtz oscillator, which is the simplest nonlinear oscillator with escapes. For some parameter values, this oscillator presents a critical value of the forcing for which all particles escape from its single well. By using the phase control technique, weakly changing the shape of the potential via a periodic perturbation of suitable phase varphi , we avoid the escapes in different regions of the phase space. We provide numerical evidence, heuristic arguments, and an experimental implementation in an electronic circuit of this phenomenon. Finally, we expect that this method might be useful for avoiding escapes in more complicated physical situations.

19.
Phys Rev E Stat Nonlin Soft Matter Phys ; 77(5 Pt 2): 055201, 2008 May.
Artículo en Inglés | MEDLINE | ID: mdl-18643119

RESUMEN

In a region in phase space where there is a chaotic saddle, all initial conditions will escape from it after a transient with the exception of a set of points of zero Lebesgue measure. The action of an external noise makes all trajectories escape faster. Attempting to avoid those escapes by applying a control smaller than noise seems to be an impossible task. Here we show, however, that this goal is indeed possible, based on a geometrical property found typically in this situation: the existence of a horseshoe. The horseshoe implies that there exist what we call safe sets, which assures that there is a general strategy that allows one to keep trajectories inside that region with control smaller than noise. We call this type of control partial control of chaos.

20.
Phys Rev E Stat Nonlin Soft Matter Phys ; 74(1 Pt 2): 016202, 2006 Jul.
Artículo en Inglés | MEDLINE | ID: mdl-16907172

RESUMEN

We present a nonfeedback method to tame or enhance crisis-induced intermittency in dynamical systems. By adding a small harmonic perturbation to a parameter of the system, the intermittent behavior can be suppressed or enhanced depending on the value of the phase difference between the main driving and the perturbation. The validity of the method is shown both in the model and in an experiment with a CO2 laser. An analysis of this scheme applied to the quadratic map near crisis illustrates the role of phase control in nonlinear dynamical systems.

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