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1.
Food Chem ; 446: 138810, 2024 Jul 15.
Article in English | MEDLINE | ID: mdl-38402769

ABSTRACT

The effect of a high internal phase emulsion (HIPE) on three-dimensional-printed surimi gel inks was studied. Increasing the concentration of collagen peptide decreased the particle size of HIPE droplets and improved the viscoelasticity and stability. For example, when the collagen peptide concentration was 5 wt%, the viscoelasticity of the HIPE was high, as indicated by the presence of small and uniform particles, which formed a monolayer in the outer layer of the oil droplets to form stable a HIPE. A HIPE was used as the filling material to fill the surimi gel network, which reduced the porosity of the network. Surimi protein and peptides have dual emulsifying effects on the stabilization of oil. After adding the emulsion, the texture, gel properties and rheological properties of the surimi were reduced, and its printing adaptability was improved. This study provides new ideas for the production of surimi and its application in 3D printing.


Subject(s)
Fish Oils , Ink , Emulsions/chemistry , Gels/chemistry , Peptides , Printing, Three-Dimensional , Collagen
2.
Gels ; 9(4)2023 Mar 24.
Article in English | MEDLINE | ID: mdl-37102882

ABSTRACT

In this study, the effects of pH and NaCl concentrations on the structure of golden pompano myosin and emulsion gel were analyzed using SEM in combination with molecular dynamics simulations (MDS). The microscopic morphology and spatial structure of myosin were investigated at different pH (3.0, 7.0, and 11.0) and NaCl concentrations (0.0, 0.2, 0.6, and 1.0 M), and their effects on the stability of emulsion gels were discussed. Our results show that pH had a greater effect on the microscopic morphology of myosin than NaCl. The MDS results show that under the condition of pH 7.0 and 0.6 M NaCl, the myosin expanded and experienced significant fluctuations in its amino acid residues. However, NaCl showed a greater effect on the number of hydrogen bonds than pH. Although changes in pH and NaCl concentrations only slightly altered the secondary structures in myosin, they, nevertheless, significantly influenced the protein spatial conformation. The stability of the emulsion gel was affected by pH changes but not NaCl concentrations, which only affect the rheology. The best elastic modulus G″ of the emulsion gel was obtained at pH 7.0 and 0.6 M NaCl. Based on the results, we conclude that pH changes have a greater influence than NaCl concentrations on the spatial structure and conformation of myosin, contributing to the instability of its emulsion gel state. The data from this study would serve as a valuable reference for emulsion gel rheology modification in future research.

3.
Bull Math Biol ; 85(2): 11, 2023 01 05.
Article in English | MEDLINE | ID: mdl-36602636

ABSTRACT

In this paper, we formulate two different network-based epidemic models to investigate the effect of partly effective treatment on disease dynamics. The first network model represents the individuals with heterogeneous number of contacts in a population as choosing a new partner at each moment, whereas the second one assumes the individuals have fixed or stable neighbors. The basic reproduction number [Formula: see text] is computed for each model, using the next generation matrix method. In particular, the critical treatment rate is defined for the model, above which the disease can be eliminated through the treatment. The final epidemic size relations are derived, and the solvability of these implicit equations is studied. In particular, a unique solution of the implicit equation for the final epidemic size is determined, and by rewriting the implicit equation as a suitable fixed point problem, it is proved that the iteration of the fixed point problem converges to the unique solution. Stochastic simulations and numerical simulations, including in comparison with the model outputs and the joint influence of network topology and treatment on the final epidemic size, are conducted to illustrate the theoretical results.


Subject(s)
Communicable Diseases , Epidemics , Humans , Communicable Diseases/epidemiology , Communicable Diseases/therapy , Models, Biological , Mathematical Concepts , Basic Reproduction Number
4.
Food Chem ; 403: 134424, 2023 Mar 01.
Article in English | MEDLINE | ID: mdl-36358074

ABSTRACT

In this study, surimi products rich in lipids were prepared by using myofibril protein (MP) emulsion gel as carriers. The MP emulsion gel (MP concentration, c = 1.5%, oil fraction, ø = 0.68) was prepared by one-step homogenization. The emulsion gel maintained a high elastic modulus (G') after heating and freezing treatment. Confocal laser scanning microscopy revealed that the structure of the emulsion gel was a hybrid network consisting of polymers of cross-linked MP and aggregated protein-stabilized emulsion (W/O/W multiple structures) droplets. The double emulsification of the emulsion gel and MP stabilized the oil droplets in the surimi product, preventing water and oil from leaching out. The microstructure also showed smaller gaps between MPs with increased porosity, while oil droplets were stably embedded in the surimi gel matrix. Moreover, adding MP emulsion gel significantly reduced the surimi gel strength compared to adding oil directly (p < 0.05).


Subject(s)
Tilapia , Animals , Emulsions/chemistry , Gels/chemistry , Myofibrils/chemistry , Proteins/analysis , Lipids/chemistry
5.
Article in English | MEDLINE | ID: mdl-36231200

ABSTRACT

Non-suicidal self-injury (NSSI) can be defined as the deliberate destruction of body tissues to generate harm. College students have a higher incidence of NSSI. With the deepening of research on college students' NSSI, the connection between their self-consistency congruence and NSSI has drawn the attention of many scholars. The current study examined the association between self-concordance and NSSI, the mediating function of negative emotions, and the moderating role of gender. We surveyed 1020 college students from three universities in Jiangxi Province using a self-concordant scale, a NSSI questionnaire, and a negative emotion questionnaire. The results showed that self-concordance was negatively correlated with NSSI. There is an obvious negative connection between self-consistency congruence and negative emotions. There was a significant positive correlation between negative emotions and the NSSI scores. Negative emotions could mediate the association between self-consistency congruence and NSSI. Compared to males, females' self-concordant effects on negative emotions are easier to moderate.


Subject(s)
Self-Injurious Behavior , Emotions , Female , Humans , Male , Self-Injurious Behavior/epidemiology , Self-Injurious Behavior/psychology , Students/psychology , Surveys and Questionnaires , Universities
6.
Foods ; 11(12)2022 Jun 10.
Article in English | MEDLINE | ID: mdl-35741902

ABSTRACT

In this study, the physicochemical properties, functional properties and N-glycoproteome of tilapia myofibrillar protein (TMP), golden pompano myofibrillar protein (GPMP) and skipjack tuna myofibrillar protein (STMP) were assessed. The microstructures and protein compositions of the three MPs were similar. TMP and GPMP had higher solubility, sulfhydryl content and endogenous fluorescence intensity, lower surface hydrophobicity and ß-sheet contents than STMP. The results showed that the protein structures of TMP and GPMP were more folded and stable. Due to its low solubility and high surface hydrophobicity, STMP had low emulsifying activity and high foaming activity. By N-glycoproteomics analysis, 23, 85 and 22 glycoproteins that contained 28, 129 and 35 N-glycosylation sites, were identified in TMP, GPMP and STMP, respectively. GPMP had more N-glycoproteins and N-glycosylation sites than STMP, which was possibly the reason for GPMP's higher solubility and EAI. These results provide useful information for the effective utilization of various fish products.

7.
J Sci Food Agric ; 102(4): 1488-1497, 2022 Mar 15.
Article in English | MEDLINE | ID: mdl-34402073

ABSTRACT

BACKGROUND: Acerola cherry is a famous functional fruit containing plentiful antioxidants and other nutrients. However, studies on the variations among nutrients during the ripening process of acerola fruit are scare. RESULTS: Comparative metabolomic and transcriptomic analyses were performed and identified 31 331 unigenes and 1896 annotated metabolite features in acerola cherry fruit. K Kyoto Encyclopedia of Genes and Genomes enrichment analysis showed that several antioxidant and nutrient-related metabolic pathways, such as the flavonoids, vitamins, carotenoids, amino acids, and fatty acids metabolic pathways, were significantly changed during the ripening process. The metabolites related to the vitamin, carotenoid, and fatty acid metabolic pathways were downregulated during the ripening process. Several flavonoid biosynthesis-related genes (including dihydroflavonol 4-reductase, chalcone synthase, flavanone 3-hydroxylase, and anthocyanidin synthase), were significantly upregulated, suggesting their essential functions in the accumulation of flavonoids in mature fruit. CONCLUSION: Most of the vitamin and carotenoid metabolism-related metabolites significantly accumulated in immature fruit, suggesting that immature acerola fruit is a good material for the extraction of vitamins and carotenoids. For macronutrients, most of the amino acids accumulated in mature fruit and most of the fatty acids greatly accumulated in immature fruit. Our data revealed the differential accumulation of antioxidants and nutrients during the ripening process of acerola cherry fruit. © 2021 Society of Chemical Industry.


Subject(s)
Malpighiaceae , Antioxidants , Ascorbic Acid , Fruit/genetics , Gene Expression Regulation, Plant , Malpighiaceae/genetics , Transcriptome
8.
J Food Sci ; 86(10): 4316-4329, 2021 Oct.
Article in English | MEDLINE | ID: mdl-34519066

ABSTRACT

Squid are commercial marine species that have high nutritional value. This study aimed to compare the influences of vacuum frying and atmospheric frying on the physicochemical properties and protein oxidation of three main parts (ring, tentacle, and fin) of the squid Loligo chinensis. The results showed that the vacuum-fried (VF) group had lower moisture and total fat contents and looser microstructures than the atmospheric-fried (AF) group. The amino acid contents and molecular weight revealed that the proteins were well preserved during vacuum frying. Carbonyl content in the VF ring, tentacle, and fin samples increased nearly 2.53-, 1.54-, and 2.56-fold, respectively, compared to that in the corresponding fresh group, but these increases were lower than those of the corresponding AF group. In addition, the secondary structures of proteins revealed a slight decrease in the α-helix and ß-turn contents and a significant increase in the ß-sheet content during vacuum frying. Therefore, vacuum frying can be used as an efficient processing method to conserve the high nutritive quality of the product. PRACTICAL APPLICATION: As a developing alternative technology to prepare healthier fried products, vacuum frying has been the focus of recent researches. Vacuum frying produced squid products that had lower TBARS values, carbonyl contents, and Schiff base substances compared to atmospheric frying. And the protein secondary structures of the vacuum-fried group retained better. The study proved that vacuum frying could be an effective method with the advantages of high protein stability and product quality.


Subject(s)
Cooking , Decapodiformes , Dietary Proteins , Food Quality , Loligo , Animals , Decapodiformes/chemistry , Dietary Proteins/metabolism , Food Analysis , Loligo/chemistry , Oxidation-Reduction , Vacuum
9.
J Food Sci ; 85(11): 3679-3689, 2020 Nov.
Article in English | MEDLINE | ID: mdl-32990386

ABSTRACT

Sea urchin Mesocentrotus nudus, Glyptocidaris crenularis, and Strongylocentrotus intermedius gonad protein isolates (mnGPIs, gcGPIs, and siGPIs) were extracted by isoelectric solubilization/precipitation (ISP) from the defatted gonads, and their functional properties were compared. Sodium dodecyl sulfate polyacrylamide gel electrophoresis results showed the similar protein pattern between each protein isolate and defatted gonad, indicating the high efficiency of ISP processing for protein recovery. Amino acid profileconfirmed that the mnGPIs and siGPIs could be potential sources of essential amino acid in nature. As regard to functional properties, mnGPIs showed higher water- and oil- holding capacities followed bysiGPIs and gcGPIs and all protein isolates presented great foaming property. As for emulsifying activity index (EAI), mnGPIs, gcGPIs, and siGPIs showed the minimum solubility and EAI at pH 5, 3, and 4, respectively, and behaved a pH-dependent manner. The gcGPIs revealed the highest EAI from pH 6 to 8 among the samples. In addition, circular dichroism showed increased content of ß-sheet at the expense of α-helix and ß-turn, suggesting the structure denaturation of the protein isolates. Indeed, no statistical difference was observed between secondary structure of mnGPIs and siGPIs. Moreover, ISP processing increased free sulfhydryl content of sea urchin protein isolates, but no difference was observed among the samples. Furthermore, siGPIs revealed the highest amount of total sulfhydryl and disulfide bonds, whereas both defatted gonads and protein isolates from G. crenularis presented the maximum surface hydrophobicity. These results suggest that gonad protein isolates from three species of sea urchin possess various functionalities and therefore can be potentially applied in food system. PRACTICAL APPLICATION: Sea urchin M. nudus, G. crenularis, and S. intermedius gonads are edible, whereas the functional properties of protein isolates from sea urchin gonad remain unknown. In this case, the extraction and comparison of three species of sea urchin gonad protein isolates will not only confirm functional properties but also screen food ingredients with suitable functions. In this study, functionalities of protein isolates derived from M. nudus, G. crenularis, and S. intermedius gonads would provide potential application in bakery food and meat products or as emulsifier candidates in food system.


Subject(s)
Gonads/chemistry , Proteins/chemistry , Sea Urchins/chemistry , Animals , Sea Urchins/classification , Strongylocentrotus/chemistry
10.
Food Res Int ; 130: 108915, 2020 04.
Article in English | MEDLINE | ID: mdl-32156365

ABSTRACT

Acerola cherry (Malpighia emarginata D.C.) is a tropical fruit of great economic and nutritional value due to its high content of vitamin C. However, there is little information available about which ripening stage of Acerola cherry can provide the best nutrients. In the current study, the chemical variation at two developmental stages (immature and mature) were investigated by metabolic profiling, and the biological properties of Acerola cherry and its antioxidant assays at four developmental stages were measured, respectively. Through comprehensive metabolites analysis via ultra-high-performance liquid chromatography coupled with quadrupole-time-of-flight mass spectrometry system (UPLC-QTOF), 1896 annotated metabolite features were obtained, and 133 metabolites were finally identified according to the MS/MS fragments compared with these standards in in-house database. Statistically differences in the levels of amino acids, flavonoids, lipids, terpenoids and ascorbic acids were found between mature and immature fruits. Interestingly, most of differential accumulated amino acids, flavonoids, lipids, and terpenoids predominantly accumulated in the mature fruits and ascorbic acid predominantly accumulated in the immature fruits. On the other hand, their antioxidant activities were compared. The alcoholic extract of immature acerola fruit possessed better scavenging ability of DPPH and ABTS than the mature one. The well correlations were found between the antioxidant potential with its content of ascorbic acid (r = 0.9803 and 0.9897, respectively). In conclusion, Acerola cherry showed very different metabolite profile and antioxidant activities during the fruit ripening development. The maturity of Acerola cherry has to be considered when it is being used for health food products.


Subject(s)
Antioxidants/metabolism , Fruit/metabolism , Malpighiaceae/metabolism , Metabolomics/methods , Tandem Mass Spectrometry/methods , Antioxidants/chemistry , Chromatography, Liquid/methods , Fruit/chemistry , Malpighiaceae/chemistry
11.
Mar Drugs ; 17(7)2019 Jul 05.
Article in English | MEDLINE | ID: mdl-31284417

ABSTRACT

To investigate the variation in the condition factor of the sea urchin Strongylocentrotus nudus (S. nudus), gonads were collected in May (MAY), June (JUN), and July (JUL), at the beginning (AUG-b) and end of August (AUG-e). Sodium dodecyl sulfate polyacrylamide gel electrophoresis (SDS-PAGE) detection of the gonads revealed an obvious enhancement of the band at about 37 kDa from July, which was identified as transforming growth factor-beta-induced protein ig-h3 (TGFBI) by nanoLC-ESI-MS/MS. Gonadal proteins were identified by isobaric tagging for relative and absolute quantitation (iTRAQ), and regulation of the identified proteins in pairs of the collected groups was observed. A total of 174 differentially expressed proteins (DEPs) were identified. Seven of the DEPs showed significant correlations with both the gonad index (GI) and protein content. These correlations included 6-phosphogluconate dehydrogenase, decarboxylating isoform X2 (6PGD), CAD protein, myoferlin isoform X8, ribosomal protein L36 (RL36), isocitrate dehydrogenase [NADP], mitochondrial isoform X2 (IDH), multifunctional protein ADE2 isoform X3, sperm-activating peptides (SAPs) and aldehyde dehydrogenase, and mitochondrial (ALDH). However, TGFBI had no correlation with gonad index (GI) or protein content. 6PGD, IDH, multifunctional protein ADE2 isoform X3, and ALDH were shown to interact with each other and might play key roles in changing the condition factor of S. nudus gonads.


Subject(s)
Proteome/metabolism , Sea Urchins/metabolism , Strongylocentrotus/metabolism , Animals , Extracellular Matrix Proteins/metabolism , Gonads/metabolism , Seasons , Transforming Growth Factor beta/metabolism
12.
Fish Shellfish Immunol ; 81: 130-134, 2018 Oct.
Article in English | MEDLINE | ID: mdl-30006041

ABSTRACT

The large yellow croakers (Larimichthys crocea) are mainly present in the Chinese coast and near seas with high economic importance, but vulnerable to many diseases, especially in the breeding and aquaculture. The purpose of this research was to boost the innate immune system of the large yellow croaker by administering bitter peptides into their peritoneal cavity. Total 120 Juvenile of large yellow croakers in very even weight of 60 g were divided into 4 different groups in 200/300 L of water tank, respectively. Fish growth were observed for 3 months before and after different treatments. The bitter peptides from pepsin hydrolysis were applied because they possess the highest bitter sensory scores. The blood of fish from the different groups was collected and tested for different immune parameters to evaluate the effectiveness of bitter peptides as immune stimulants after administration for 8 weeks. The average ratio of leukocytes/total blood cells (%) for control was found at 14.6%, for the low dose of bitter peptides 0.6 mg/fish was at 29.3%, for middle dose of 1.2 mg/fish was at 35%, and high dose of 2.4 mg/fish was at 30%. The lysozyme assay showed that the OD (optical density) units of relative progress lysis activity at 60 min were 0.17, 0.101, 0.307 and 0.198, respectively. Similarly in the same order as in phagocyte assay, most importantly the middle dose (1.2mg/fish) gave the highest survival rate throughout the assay. The results showed that bitter peptides can be used as immune boosters for the yellow croakers and the optimum dose was 1.2 mg/fish due to both leukocytes and lysozyme activity in the treated samples increased significantly compared with the control group. According to the results obtained, we suggest that the incorporation of middle dose of bitter peptides into fish feeds may reduce the fish diseases in aquaculture, at least for large yellow croakers.


Subject(s)
Adjuvants, Immunologic/pharmacology , Immunity, Innate , Leukocytes/drug effects , Peptides/pharmacology , Perciformes/immunology , Adjuvants, Immunologic/administration & dosage , Animals , Fish Diseases/immunology , Hydrolysis , Leukocytes/immunology , Muramidase/metabolism , Pepsin A/metabolism , Peptides/administration & dosage , Phagocytosis
13.
Anticancer Agents Med Chem ; 18(7): 1025-1031, 2018.
Article in English | MEDLINE | ID: mdl-29318977

ABSTRACT

BACKGROUND: Different saponins from herbs have been used as tonic or functional foods, and for treatment of various diseases including cancers. Although clinical data has supported the function of these saponins, their underlying molecular mechanisms have not been well defined. METHODS: With the simulated hypoxia created by 8 hours of Cu++ exposure and following 24 hour incubation with different concentration of saponins in HepG2 cells for MTT assay, migration and invasion assays, and for RT-PCR, and with each group of cells for immunofluorescence observation by confocal microscopy. Results:ZC-4 had the highest rate of inhibition of cell proliferation by MTT assay, and the highest inhibition of migration rate by in vitro scratch assay, while ZC-3 had the highest inhibition of invasion ratio by transwell assay. Under the same simulated hypoxia, the molecular mechanism of saponin function was conducted by measuring the gene expression of Hypoxia Inducible Factor (HIF)-1α through RT-PCR, in which ZC-3 showed a potent inhibition of gene HIF-1α. For the protein expression by immunofluorescence staining with confocal microscopy, HIF-1α was also inhibited by saponins, with the most potent one being ZC-4 after eight hours' relatively hypoxia incubation. CONCLUSION: Saponins ZC-4 and ZC-3 have the potential to reduce HepG2 cell proliferation, migration and invasion caused by hypoxia through effectively inhibiting the gene and protein expression of HIF-1α directly and as antioxidant indirectly.


Subject(s)
Antineoplastic Agents, Phytogenic/pharmacology , Carcinoma, Hepatocellular/drug therapy , Hypoxia-Inducible Factor 1, alpha Subunit/metabolism , Liver Neoplasms/drug therapy , Neoplasm Invasiveness/prevention & control , Saponins/pharmacology , Antineoplastic Agents, Phytogenic/chemistry , Carcinoma, Hepatocellular/metabolism , Carcinoma, Hepatocellular/pathology , Cell Movement/drug effects , Gynostemma/chemistry , Hep G2 Cells , Humans , Liver Neoplasms/metabolism , Liver Neoplasms/pathology , Neoplasm Invasiveness/pathology , Panax/chemistry , Saponins/chemistry , Tumor Hypoxia/drug effects
14.
J Comput Phys ; 245: 84-106, 2013 Jul 01.
Article in English | MEDLINE | ID: mdl-23913979

ABSTRACT

This paper extends the image charge solvation model (ICSM) [J. Chem. Phys. 131, 154103 (2009)], a hybrid explicit/implicit method to treat electrostatic interactions in computer simulations of biomolecules formulated for spherical cavities, to prolate spheroidal and triaxial ellipsoidal cavities, designed to better accommodate non-spherical solutes in molecular dynamics (MD) simulations. In addition to the utilization of a general truncated octahedron as the MD simulation box, central to the proposed extension is an image approximation method to compute the reaction field for a point charge placed inside such a non-spherical cavity by using a single image charge located outside the cavity. The resulting generalized image charge solvation model (GICSM) is tested in simulations of liquid water, and the results are analyzed in comparison with those obtained from the ICSM simulations as a reference. We find that, for improved computational efficiency due to smaller simulation cells and consequently a less number of explicit solvent molecules, the generalized model can still faithfully reproduce known static and dynamic properties of liquid water at least for systems considered in the present paper, indicating its great potential to become an accurate but more efficient alternative to the ICSM when bio-macromolecules of irregular shapes are to be simulated.

15.
Phys Rev E Stat Nonlin Soft Matter Phys ; 83(5 Pt 2): 056709, 2011 May.
Article in English | MEDLINE | ID: mdl-21728695

ABSTRACT

This paper concerns a basic electrostatic problem: how to calculate generalized Coulomb and self-polarization potentials in heterogeneous dielectric media. In particular, with simulations of ellipsoidal semiconductor quantum dots and elongated biomacromolecules being its target applications, this paper extends the so-called three-layer dielectric models for generalized Coulomb and self-polarization potential calculation from the spherical and the spheroidal geometries to the triaxial ellipsoidal geometry. Compared to the simple steplike dielectric model, these three-layer dielectric models can overcome the mathematical divergence in the self-polarization energy by employing continuous radial dielectric functions. More specifically, in this paper, the quasiharmonic three-layer dielectric model for the ellipsoidal geometry is discussed, and the explicit analytical series solutions of the corresponding electrostatic problem are obtained in terms of the ellipsoidal harmonics. Then a robust numerical procedure working for general three-layer dielectric models is developed. The key component of the numerical method is to subdivide the transition layer of the underlying three-layer model into multiple sublayers and then in each one of them approximate the select dielectric function of the transition layer by one of the quasiharmonic functional form rather than simply by a constant value as one would normally do. As a result, the numerical method has no numerical divergence.


Subject(s)
Models, Theoretical , Electric Impedance
16.
Phys Rev E Stat Nonlin Soft Matter Phys ; 81(1 Pt 2): 016701, 2010 Jan.
Article in English | MEDLINE | ID: mdl-20365496

ABSTRACT

This paper extends the three-dielectric-layer hybrid solvation model for treating electrostatic interactions in biomolecular simulations from the spherical geometry [Comm. Comp. Phys. 6, 955 (2009)] to the prolate/oblate spheroidal geometries. In the resulting model, the inner spheroidal cavity of a low dielectric constant epsilon(i) contains an irregular-shaped solute and some explicit solvent molecules, while the unbounded outer layer is used to implicitly model the bulk solvent as a dissimilar continuum medium of a high dielectric constant epsilon(o). The thin intermediate translation layer, which also consists of explicit solvent molecules, assumes a continuous variation of the dielectric permittivity epsilon(r) changing smoothly from epsilon(i) to epsilon(o). In particular, the so-called quasiharmonic dielectric permittivity profile is introduced based on a harmonic interpolation, thus allowing analytical series solutions of the generalized Coulomb potential and the self-polarization energy in terms of the associated Legendre functions. A key advantage of the proposed quasiharmonic dielectric model lies in the fact that it overcomes the inherent mathematical divergence in the self-polarization energy that exists in the simple and widely used steplike dielectric model. Numerical examples are included to show some simulated behaviors of the quasiharmonic dielectric model and the corresponding analytical solution.


Subject(s)
Computer Simulation , Models, Chemical , Solvents/chemistry , Algorithms , Static Electricity
17.
Comput Phys Commun ; 178(3): 171-185, 2008 Feb 01.
Article in English | MEDLINE | ID: mdl-21152363

ABSTRACT

A recent article by Deng and Cai (Extending the fast multipole method for charges inside a dielectric sphere in an ionic solvent: High-order image approximations for reaction fields, to appear in J. Comput. Phys.) introduced two fourth-order image approximations to the reaction field for a charge inside a dielectric sphere immersed in a solvent of low ionic strength. To represent such a reaction field, the image approximations employ a point charge at the classical Kelvin image point and two line charges that extend from this Kelvin image point along the radial direction to infinity, with one decaying to zero and the other growing to infinity. In this paper, alternative versions of the fourth-order image approximations are presented, using the same point charge but three different line charges, all decaying to zero along the radial direction. Similar discussions on how to approximate the line charges by discrete image charges and how to apply the resulting multiple discrete image approximations together with the fast multipole method are also included.

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