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1.
Cell ; 160(5): 904-912, 2015 Feb 26.
Artículo en Inglés | MEDLINE | ID: mdl-25723165

RESUMEN

The filoviruses, including Marburg and Ebola, express a single glycoprotein on their surface, termed GP, which is responsible for attachment and entry of target cells. Filovirus GPs differ by up to 70% in protein sequence, and no antibodies are yet described that cross-react among them. Here, we present the 3.6 Å crystal structure of Marburg virus GP in complex with a cross-reactive antibody from a human survivor, and a lower resolution structure of the antibody bound to Ebola virus GP. The antibody, MR78, recognizes a GP1 epitope conserved across the filovirus family, which likely represents the binding site of their NPC1 receptor. Indeed, MR78 blocks binding of the essential NPC1 domain C. These structures and additional small-angle X-ray scattering of mucin-containing MARV and EBOV GPs suggest why such antibodies were not previously elicited in studies of Ebola virus, and provide critical templates for development of immunotherapeutics and inhibitors of entry.


Asunto(s)
Anticuerpos Neutralizantes/química , Anticuerpos Neutralizantes/inmunología , Marburgvirus/química , Proteínas del Envoltorio Viral/química , Secuencia de Aminoácidos , Animales , Anticuerpos Monoclonales/química , Anticuerpos Monoclonales/metabolismo , Anticuerpos Neutralizantes/aislamiento & purificación , Anticuerpos Neutralizantes/metabolismo , Anticuerpos Antivirales/química , Anticuerpos Antivirales/inmunología , Anticuerpos Antivirales/metabolismo , Complejo Antígeno-Anticuerpo/química , Línea Celular , Reacciones Cruzadas , Cristalografía por Rayos X , Drosophila , Ebolavirus/química , Humanos , Fragmentos Fab de Inmunoglobulinas/química , Fragmentos Fab de Inmunoglobulinas/metabolismo , Enfermedad del Virus de Marburg/inmunología , Marburgvirus/genética , Marburgvirus/inmunología , Modelos Moleculares , Datos de Secuencia Molecular , Mucinas/química , Alineación de Secuencia , Proteínas del Envoltorio Viral/metabolismo
2.
Nature ; 578(7794): 321-325, 2020 02.
Artículo en Inglés | MEDLINE | ID: mdl-31996846

RESUMEN

Elucidating the mechanism of sugar import requires a molecular understanding of how transporters couple sugar binding and gating events. Whereas mammalian glucose transporters (GLUTs) are specialists1, the hexose transporter from the malaria parasite Plasmodium falciparum PfHT12,3 has acquired the ability to transport both glucose and fructose sugars as efficiently as the dedicated glucose (GLUT3) and fructose (GLUT5) transporters. Here, to establish the molecular basis of sugar promiscuity in malaria parasites, we determined the crystal structure of PfHT1 in complex with D-glucose at a resolution of 3.6 Å. We found that the sugar-binding site in PfHT1 is very similar to those of the distantly related GLUT3 and GLUT5 structures4,5. Nevertheless, engineered PfHT1 mutations made to match GLUT sugar-binding sites did not shift sugar preferences. The extracellular substrate-gating helix TM7b in PfHT1 was positioned in a fully occluded conformation, providing a unique glimpse into how sugar binding and gating are coupled. We determined that polar contacts between TM7b and TM1 (located about 15 Å from D-glucose) are just as critical for transport as the residues that directly coordinate D-glucose, which demonstrates a strong allosteric coupling between sugar binding and gating. We conclude that PfHT1 has achieved substrate promiscuity not by modifying its sugar-binding site, but instead by evolving substrate-gating dynamics.


Asunto(s)
Malaria/parasitología , Proteínas de Transporte de Monosacáridos/química , Proteínas de Transporte de Monosacáridos/metabolismo , Plasmodium falciparum/química , Plasmodium falciparum/metabolismo , Azúcares/metabolismo , Regulación Alostérica , Secuencias de Aminoácidos , Secuencia de Aminoácidos , Sitios de Unión , Transporte Biológico , Cristalografía por Rayos X , Glucosa/química , Glucosa/metabolismo , Proteínas Facilitadoras del Transporte de la Glucosa/química , Proteínas Facilitadoras del Transporte de la Glucosa/metabolismo , Humanos , Modelos Moleculares , Conformación Proteica , Especificidad por Sustrato
3.
EMBO J ; 39(24): e105908, 2020 12 15.
Artículo en Inglés | MEDLINE | ID: mdl-33118634

RESUMEN

Na+ /H+ exchangers (NHEs) are ancient membrane-bound nanomachines that work to regulate intracellular pH, sodium levels and cell volume. NHE activities contribute to the control of the cell cycle, cell proliferation, cell migration and vesicle trafficking. NHE dysfunction has been linked to many diseases, and they are targets of pharmaceutical drugs. Despite their fundamental importance to cell homeostasis and human physiology, structural information for the mammalian NHE was lacking. Here, we report the cryogenic electron microscopy structure of NHE isoform 9 (SLC9A9) from Equus caballus at 3.2 Å resolution, an endosomal isoform highly expressed in the brain and associated with autism spectrum (ASD) and attention deficit hyperactivity (ADHD) disorders. Despite low sequence identity, the NHE9 architecture and ion-binding site are remarkably similar to distantly related bacterial Na+ /H+  antiporters with 13 transmembrane segments. Collectively, we reveal the conserved architecture of the NHE ion-binding site, their elevator-like structural transitions, the functional implications of autism disease mutations and the role of phosphoinositide lipids to promote homodimerization that, together, have important physiological ramifications.


Asunto(s)
Transporte de Proteínas/fisiología , Intercambiadores de Sodio-Hidrógeno/química , Intercambiadores de Sodio-Hidrógeno/genética , Intercambiadores de Sodio-Hidrógeno/metabolismo , Animales , Sitios de Unión , Encéfalo/metabolismo , Movimiento Celular , Microscopía por Crioelectrón , Endosomas/metabolismo , Caballos , Simulación de Dinámica Molecular , Mutación , Conformación Proteica , Isoformas de Proteínas/química , Isoformas de Proteínas/genética , Isoformas de Proteínas/metabolismo , Protones , Alineación de Secuencia , Sodio
4.
Proc Natl Acad Sci U S A ; 115(10): 2496-2501, 2018 03 06.
Artículo en Inglés | MEDLINE | ID: mdl-29463726

RESUMEN

Measles virus (MeV), a major cause of childhood morbidity and mortality, is highly immunotropic and one of the most contagious pathogens. MeV may establish, albeit rarely, persistent infection in the central nervous system, causing fatal and intractable neurodegenerative diseases such as subacute sclerosing panencephalitis and measles inclusion body encephalitis. Recent studies have suggested that particular substitutions in the MeV fusion (F) protein are involved in the pathogenesis by destabilizing the F protein and endowing it with hyperfusogenicity. Here we show the crystal structures of the prefusion MeV-F alone and in complex with the small compound AS-48 or a fusion inhibitor peptide. Notably, these independently developed inhibitors bind the same hydrophobic pocket located at the region connecting the head and stalk of MeV-F, where a number of substitutions in MeV isolates from neurodegenerative diseases are also localized. Since these inhibitors could suppress membrane fusion mediated by most of the hyperfusogenic MeV-F mutants, the development of more effective inhibitors based on the structures may be warranted to treat MeV-induced neurodegenerative diseases.


Asunto(s)
Antivirales , Péptidos , Proteínas Virales de Fusión , Animales , Antivirales/química , Antivirales/metabolismo , Sitios de Unión , Células CHO , Chlorocebus aethiops , Cricetulus , Modelos Moleculares , Péptidos/química , Péptidos/metabolismo , Células Vero , Proteínas Virales de Fusión/antagonistas & inhibidores , Proteínas Virales de Fusión/química , Proteínas Virales de Fusión/metabolismo
5.
J Virol ; 93(15)2019 08 01.
Artículo en Inglés | MEDLINE | ID: mdl-31118251

RESUMEN

Mumps virus (MuV) is an important aerosol-transmitted human pathogen causing epidemic parotitis, meningitis, encephalitis, and deafness. MuV preferentially uses a trisaccharide containing α2,3-linked sialic acid as a receptor. However, given the MuV tropism toward glandular tissues and the central nervous system, an additional glycan motif(s) may also serve as a receptor. Here, we performed a large-scale glycan array screen with MuV hemagglutinin-neuraminidase (MuV-HN) attachment proteins by using 600 types of glycans from The Consortium for Functional Glycomics Protein-Glycan Interaction Core in an effort to find new glycan receptor motif(s). According to the results of the glycan array, we successfully determined the crystal structures of MuV-HN proteins bound to newly identified glycan motifs, sialyl LewisX (SLeX) and the oligosaccharide portion of the GM2 ganglioside (GM2-glycan). Interestingly, the complex structures showed that SLeX and GM2-glycan share the same configuration with the reported trisaccharide motif, 3'-sialyllactose (3'-SL), at the binding site of MuV-HN, while SLeX and GM2-glycan have several unique interactions compared with those of 3'-SL. Thus, MuV-HN protein can allow an additional spatial modification in GM2-glycan and SLeX at the second and third carbohydrates from the nonreducing terminus of the core trisaccharide structure, respectively. Importantly, MuV entry was efficiently inhibited in the presence of 3'-SL, SLeX, or GM2-glycan derivatives, which indicates that these motifs can serve as MuV receptors. The α2,3-sialylated oligosaccharides, such as SLeX and 3'-sialyllactosamine, are broadly expressed in various tissues, and GM2 exists mainly in neural tissues and the adrenal gland. The distribution of these glycan motifs in human tissues/organs may have bearing on MuV tropism.IMPORTANCE Mumps virus (MuV) infection is characterized by parotid gland swelling and can cause pancreatitis, orchitis, meningitis, and encephalitis. MuV-related hearing loss is also a serious complication because it is usually irreversible. MuV outbreaks have been reported in many countries, even in high-vaccine-coverage areas. MuV has tropism toward glandular tissues and the central nervous system. To understand the unique MuV tropism, revealing the mechanism of receptor recognition by MuV is very important. Here, using a large-scale glycan array and X-ray crystallography, we show that MuV recognizes sialyl LewisX and GM2 ganglioside as receptors, in addition to a previously reported MuV receptor, a trisaccharide containing an α2,3-linked sialic acid. The flexible recognition of these glycan receptors by MuV may explain the unique tropism and pathogenesis of MuV. Structures will also provide a template for the development of effective entry inhibitors targeting the receptor-binding site of MuV.


Asunto(s)
Proteína HN/metabolismo , Antígenos del Grupo Sanguíneo de Lewis/metabolismo , Virus de la Parotiditis/fisiología , Receptores Virales/metabolismo , Ácidos Siálicos/metabolismo , Tropismo Viral , Acoplamiento Viral , Cristalografía por Rayos X , Proteína HN/química , Antígenos del Grupo Sanguíneo de Lewis/química , Análisis por Micromatrices , Unión Proteica , Conformación Proteica , Ácidos Siálicos/química
6.
Proc Natl Acad Sci U S A ; 113(41): 11579-11584, 2016 10 11.
Artículo en Inglés | MEDLINE | ID: mdl-27671656

RESUMEN

Mumps virus (MuV) remains an important pathogen worldwide, causing epidemic parotitis, orchitis, meningitis, and encephalitis. Here we show that MuV preferentially uses a trisaccharide containing α2,3-linked sialic acid in unbranched sugar chains as a receptor. Crystal structures of the MuV attachment protein hemagglutinin-neuraminidase (MuV-HN) alone and in complex with the α2,3-sialylated trisaccharide revealed that in addition to the interaction between the MuV-HN active site residues and sialic acid, other residues, including an aromatic residue, stabilize the third sugar of the trisaccharide. The importance of the aromatic residue and the third sugar in the MuV-HN-receptor interaction was confirmed by computational energy calculations, isothermal titration calorimetry studies, and glycan-binding assays. Furthermore, MuV-HN was found to bind more efficiently to unbranched α2,3-sialylated sugar chains compared with branched ones. Importantly, the strategically located aromatic residue is conserved among the HN proteins of sialic acid-using paramyxoviruses, and alanine substitution compromised their ability to support cell-cell fusion. These results suggest that not only the terminal sialic acid but also the adjacent sugar moiety contribute to receptor function for mumps and these paramyxoviruses. The distribution of structurally different sialylated glycans in tissues and organs may explain in part MuV's distinct tropism to glandular tissues and the central nervous system. In the crystal structure, the epitopes for neutralizing antibodies are located around the α-helices of MuV-HN that are not well conserved in amino acid sequences among different genotypes of MuV. This may explain the fact that MuV reinfection sometimes occurs.


Asunto(s)
Virus de la Parotiditis/metabolismo , Ácido N-Acetilneuramínico/química , Ácido N-Acetilneuramínico/metabolismo , Receptores Virales/metabolismo , Trisacáridos/química , Trisacáridos/metabolismo , Animales , Anticuerpos Neutralizantes/química , Fusión Celular , Membrana Celular/metabolismo , Chlorocebus aethiops , Cristalografía por Rayos X , Epítopos/química , Células HEK293 , Humanos , Lactosa/química , Lactosa/metabolismo , Modelos Moleculares , Proteínas Mutantes/química , Proteínas Mutantes/metabolismo , Unión Proteica , Dominios Proteicos , Receptores Virales/química , Termodinámica , Células Vero , Proteínas Virales/química , Proteínas Virales/metabolismo
7.
Nat Commun ; 15(1): 4751, 2024 Jun 04.
Artículo en Inglés | MEDLINE | ID: mdl-38834573

RESUMEN

Intracellular potassium (K+) homeostasis is fundamental to cell viability. In addition to channels, K+ levels are maintained by various ion transporters. One major family is the proton-driven K+ efflux transporters, which in gram-negative bacteria is important for detoxification and in plants is critical for efficient photosynthesis and growth. Despite their importance, the structure and molecular basis for K+-selectivity is poorly understood. Here, we report ~3.1 Å resolution cryo-EM structures of the Escherichia coli glutathione (GSH)-gated K+ efflux transporter KefC in complex with AMP, AMP/GSH and an ion-binding variant. KefC forms a homodimer similar to the inward-facing conformation of Na+/H+ antiporter NapA. By structural assignment of a coordinated K+ ion, MD simulations, and SSM-based electrophysiology, we demonstrate how ion-binding in KefC is adapted for binding a dehydrated K+ ion. KefC harbors C-terminal regulator of K+ conductance (RCK) domains, as present in some bacterial K+-ion channels. The domain-swapped helices in the RCK domains bind AMP and GSH and they inhibit transport by directly interacting with the ion-transporter module. Taken together, we propose that KefC is activated by detachment of the RCK domains and that ion selectivity exploits the biophysical properties likewise adapted by K+-ion-channels.


Asunto(s)
Microscopía por Crioelectrón , Proteínas de Escherichia coli , Escherichia coli , Potasio , Escherichia coli/metabolismo , Escherichia coli/genética , Proteínas de Escherichia coli/metabolismo , Proteínas de Escherichia coli/química , Proteínas de Escherichia coli/genética , Glutatión/metabolismo , Simulación de Dinámica Molecular , Potasio/metabolismo , Antiportadores de Potasio-Hidrógeno/metabolismo , Antiportadores de Potasio-Hidrógeno/química , Antiportadores de Potasio-Hidrógeno/genética , Dominios Proteicos
8.
Nat Struct Mol Biol ; 29(2): 108-120, 2022 02.
Artículo en Inglés | MEDLINE | ID: mdl-35173351

RESUMEN

The Na+/H+ exchanger SLC9B2, also known as NHA2, correlates with the long-sought-after Na+/Li+ exchanger linked to the pathogenesis of diabetes mellitus and essential hypertension in humans. Despite the functional importance of NHA2, structural information and the molecular basis for its ion-exchange mechanism have been lacking. Here we report the cryo-EM structures of bison NHA2 in detergent and in nanodiscs, at 3.0 and 3.5 Å resolution, respectively. The bison NHA2 structure, together with solid-state membrane-based electrophysiology, establishes the molecular basis for electroneutral ion exchange. NHA2 consists of 14 transmembrane (TM) segments, rather than the 13 TMs previously observed in mammalian Na+/H+ exchangers (NHEs) and related bacterial antiporters. The additional N-terminal helix in NHA2 forms a unique homodimer interface with a large intracellular gap between the protomers, which closes in the presence of phosphoinositol lipids. We propose that the additional N-terminal helix has evolved as a lipid-mediated remodeling switch for the regulation of NHA2 activity.


Asunto(s)
Intercambiadores de Sodio-Hidrógeno/química , Intercambiadores de Sodio-Hidrógeno/metabolismo , Secuencia de Aminoácidos , Animales , Antiportadores/química , Antiportadores/genética , Antiportadores/metabolismo , Sitios de Unión , Bison/genética , Bison/metabolismo , Microscopía por Crioelectrón , Humanos , Metabolismo de los Lípidos , Espectrometría de Masas , Modelos Moleculares , Simulación de Dinámica Molecular , Nanoestructuras/química , Nanoestructuras/ultraestructura , Multimerización de Proteína , Proteolípidos/química , Proteolípidos/metabolismo , Intercambiadores de Sodio-Hidrógeno/genética , Electricidad Estática
9.
Nat Commun ; 13(1): 6383, 2022 10 26.
Artículo en Inglés | MEDLINE | ID: mdl-36289233

RESUMEN

The strict exchange of protons for sodium ions across cell membranes by Na+/H+ exchangers is a fundamental mechanism for cell homeostasis. At active pH, Na+/H+ exchange can be modelled as competition between H+ and Na+ to an ion-binding site, harbouring either one or two aspartic-acid residues. Nevertheless, extensive analysis on the model Na+/H+ antiporter NhaA from Escherichia coli, has shown that residues on the cytoplasmic surface, termed the pH sensor, shifts the pH at which NhaA becomes active. It was unclear how to incorporate the pH senor model into an alternating-access mechanism based on the NhaA structure at inactive pH 4. Here, we report the crystal structure of NhaA at active pH 6.5, and to an improved resolution of 2.2 Å. We show that at pH 6.5, residues in the pH sensor rearrange to form new salt-bridge interactions involving key histidine residues that widen the inward-facing cavity. What we now refer to as a pH gate, triggers a conformational change that enables water and Na+ to access the ion-binding site, as supported by molecular dynamics (MD) simulations. Our work highlights a unique, channel-like switch prior to substrate translocation in a secondary-active transporter.


Asunto(s)
Proteínas de Escherichia coli , Proteínas de Escherichia coli/metabolismo , Protones , Antiportadores/metabolismo , Histidina/metabolismo , Concentración de Iones de Hidrógeno , Escherichia coli/metabolismo , Intercambiadores de Sodio-Hidrógeno/metabolismo , Iones/metabolismo , Sodio/metabolismo , Agua/metabolismo
10.
IUCrJ ; 5(Pt 3): 348-353, 2018 May 01.
Artículo en Inglés | MEDLINE | ID: mdl-29755750

RESUMEN

Ionic scattering factors of atoms that compose biological molecules have been computed by the multi-configuration Dirac-Fock method. These ions are chemically unstable and their scattering factors had not been reported except for O-. Yet these factors are required for the estimation of partial charges in protein molecules and nucleic acids. The electron scattering factors of these ions are particularly important as the electron scattering curves vary considerably between neutral and charged atoms in the spatial-resolution range explored in structural biology. The calculated X-ray and electron scattering factors have then been parameterized for the major scattering curve models used in X-ray and electron protein crystallography and single-particle cryo-EM. The X-ray and electron scattering factors and the fitting parameters are presented for future reference.

11.
Elife ; 72018 04 17.
Artículo en Inglés | MEDLINE | ID: mdl-29661272

RESUMEN

Gram-negative bacteria import essential nutrients such as iron and vitamin B12 through outer membrane receptors. This process utilizes proton motive force harvested by the Ton system made up of three inner membrane proteins, ExbB, ExbD and TonB. ExbB and ExbD form the proton channel that energizes uptake through TonB. Recently, crystal structures suggest that the ExbB pentamer is the scaffold. Here, we present structures of hexameric complexes of ExbB and ExbD revealed by X-ray crystallography and single particle cryo-EM. Image analysis shows that hexameric and pentameric complexes coexist, with the proportion of hexamer increasing with pH. Channel current measurement and 2D crystallography support the existence and transition of the two oligomeric states in membranes. The hexameric complex consists of six ExbB subunits and three ExbD transmembrane helices enclosed within the central channel. We propose models for activation/inactivation associated with hexamer and pentamer formation and utilization of proton motive force.


Asunto(s)
Proteínas de Escherichia coli/química , Proteínas de Escherichia coli/metabolismo , Multimerización de Proteína , Microscopía por Crioelectrón , Cristalografía por Rayos X , Procesamiento de Imagen Asistido por Computador , Fuerza Protón-Motriz
13.
Protein Sci ; 25(3): 754-68, 2016 Mar.
Artículo en Inglés | MEDLINE | ID: mdl-26694222

RESUMEN

Contacts with neighboring molecules in protein crystals inevitably restrict the internal motions of intrinsically flexible proteins. The resultant clear electron densities permit model building, as crystallographic snapshot structures. Although these still images are informative, they could provide biased pictures of the protein motions. If the mobile parts are located at a site lacking direct contacts in rationally designed crystals, then the amplitude of the movements can be experimentally analyzed. We propose a fusion protein method, to create crystal contact-free space (CCFS) in protein crystals and to place the mobile parts in the CCFS. Conventional model building fails when large amplitude motions exist. In this study, the mobile parts appear as smeared electron densities in the CCFS, by suitable processing of the X-ray diffraction data. We applied the CCFS method to a highly mobile presequence peptide bound to the mitochondrial import receptor, Tom20, and a catalytically relevant flexible segment in the oligosaccharyltransferase, AglB. These two examples demonstrated the general applicability of the CCFS method to the analysis of the spatial distribution of motions within protein molecules.


Asunto(s)
Proteínas Bacterianas/química , Cristalización/métodos , Hexosiltransferasas/química , Proteínas de la Membrana/química , Proteínas Mitocondriales/química , Pyrococcus furiosus/química , Receptores Citoplasmáticos y Nucleares/química , Secuencia de Aminoácidos , Animales , Proteínas Bacterianas/metabolismo , Cristalografía por Rayos X/métodos , Hexosiltransferasas/metabolismo , Proteínas de la Membrana/metabolismo , Proteínas de Transporte de Membrana , Proteínas del Complejo de Importación de Proteínas Precursoras Mitocondriales , Proteínas Mitocondriales/metabolismo , Simulación de Dinámica Molecular , Movimiento (Física) , Péptidos/química , Péptidos/metabolismo , Conformación Proteica , Pyrococcus furiosus/metabolismo , Ratas , Receptores de Superficie Celular , Receptores Citoplasmáticos y Nucleares/metabolismo
14.
Nat Commun ; 5: 4994, 2014 Sep 26.
Artículo en Inglés | MEDLINE | ID: mdl-25256292

RESUMEN

Mutations in the ankyrin repeat domain (ARD) of TRPV4 are responsible for several channelopathies, including Charcot-Marie-Tooth disease type 2C and congenital distal and scapuloperoneal spinal muscular atrophy. However, the molecular pathogenesis mediated by these mutations remains elusive, mainly due to limited understanding of the TRPV4 ARD function. Here we show that phosphoinositide binding to the TRPV4 ARD leads to suppression of the channel activity. Among the phosphoinositides, phosphatidylinositol-4,5-bisphosphate (PI(4,5)P2) most potently binds to the TRPV4 ARD. The crystal structure of the TRPV4 ARD in complex with inositol-1,4,5-trisphosphate, the head-group of PI(4,5)P2, and the molecular-dynamics simulations revealed the PI(4,5)P2-binding amino-acid residues. The TRPV4 channel activities were increased by titration or hydrolysis of membrane PI(4,5)P2. Notably, disease-associated TRPV4 mutations that cause a gain-of-function phenotype abolished PI(4,5)P2 binding and PI(4,5)P2 sensitivity. These findings identify TRPV4 ARD as a lipid-binding domain in which interactions with PI(4,5)P2 normalize the channel activity in TRPV4.


Asunto(s)
Fosfatidilinositol 4,5-Difosfato/metabolismo , Canales Catiónicos TRPV/química , Canales Catiónicos TRPV/metabolismo , Animales , Repetición de Anquirina , Pollos , Cristalografía por Rayos X , Humanos , Simulación de Dinámica Molecular , Unión Proteica , Canales Catiónicos TRPV/genética
16.
Phys Rev E Stat Nonlin Soft Matter Phys ; 86(3 Pt 2): 036209, 2012 Sep.
Artículo en Inglés | MEDLINE | ID: mdl-23030999

RESUMEN

Dripping water from a faucet is a typical example exhibiting rich nonlinear phenomena. For such a system, the time stamps at which water drops separate from the faucet can be directly observed in real experiments, and the time series of intervals τn between drop separations becomes a subject of analysis. Even if the mass mn of a drop at the onset of the nth separation, which is difficult to observe experimentally, exhibits perfectly deterministic dynamics, it may be difficult to obtain the same information about the underlying dynamics from the time series τn. This is because the return plot τn-1 vs. τn may become a multivalued relation (i.e., it doesn't represent a function describing deterministic dynamics). In this paper, we propose a method to construct a nonlinear coordinate which provides a "surrogate" of the internal state mn from the time series of τn. Here, a key of the proposed approach is to use isomap, which is a well-known method of manifold learning. We first apply it to the time series of τn generated from the numerical simulation of a phenomenological mass-spring model for the dripping faucet system. It is shown that a clear one-dimensional map is obtained by the proposed approach, whose characteristic quantities such as the Lyapunov exponent, the topological entropy, and the time correlation function coincide with the original dripping faucet system. Furthermore, we also analyze data obtained from real dripping faucet experiments, which also provide promising results.


Asunto(s)
Gravitación , Modelos Teóricos , Dinámicas no Lineales , Agua/química , Simulación por Computador
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