Using machine learning with passive wearable sensors to pilot the detection of eating disorder behaviors in everyday life

BACKGROUND

Eating disorders (ED) are serious psychiatric disorders, taking a life every 52 minutes, with high relapse. There are currently no support or effective intervention therapeutics for individuals with an ED in their everyday life. The aim of this study is to build idiographic machine learning (ML) models to evaluate the performance of physiological recordings to detect individual ED behaviors in naturalistic settings.

METHODS

From an ongoing study (Final N = 120), we piloted the ability for ML to detect an individual's ED behavioral episodes (e.g. purging) from physiological data in six individuals diagnosed with an ED, all of whom endorsed purging. Participants wore an ambulatory monitor for 30 days and tapped a button to denote ED behavioral episodes. We built idiographic (N = 1) logistic regression classifiers (LRC) ML trained models to identify onset of episodes (~600 windows) v. baseline (~571 windows) physiology (Heart Rate, Electrodermal Activity, and Temperature).

RESULTS

Using physiological data, ML LRC accurately classified on average 91% of cases, with 92% specificity and 90% sensitivity.

CONCLUSIONS

This evidence suggests the ability to build idiographic ML models that detect ED behaviors from physiological indices within everyday life with a high level of accuracy. The novel use of ML with wearable sensors to detect physiological patterns of ED behavior pre-onset can lead to just-in-time clinical interventions to disrupt problematic behaviors and promote ED recovery.

Microdetermination of proteins with the arsenazo-DBN-Al(III) complex by Rayleigh light-scattering technique and application of the method

The determination of proteins with arsenazo-DBN and Al3+ by Rayleigh light-scattering (RLS) is described. The weak RLS of arsenazo-DBN and BSA can be enhanced greatly by addition of Al3+ in the pH range 5.3-7.0; this resulted in two enhanced RLS signals at 420-440 nm and 460-480 nm. The reaction between arsenazo-DBN, Al3+, and proteins was studied and a new method was developed for quantitative determination of proteins. This method is very sensitive (0.34-41.71 microg mL(-1) for bovine serum albumin, BSA, and 0.29-53.41 microg mL(-1) for human serum albumin, HSA), rapid (< 2 min), simple (one step), and tolerant of most interfering substances. The effects of different surfactants were also examined. When these proteins were determined in four human serum samples the maximum relative error was not more than 2% and the recovery was between 97 and 103%.

Structural characterisation of macromolecular organic material in air particulate matter using Py-GC-MS and solid state 13C-NMR

Organic air particulate matter was analysed by applying the techniques of Py-GC-MS (pyrolysis-gas chromatography-mass spectrometry) and solid state 13C-NMR (nuclear magnetic resonance). Particles dislodged from air particulate filters and humic acid extracted from these filters were studied for structural components. The structural components of the air particles and extracted humic acid consisted of compounds originating from biomacromolecules, namely, lignin, carbohydrates, protein and lipids. The main components identified for each class included: (1) methoxyphenols originating from lignin; (2) furans, aldehydes and ketones from carbohydrates; (3) pyrrole, indoles from protein; and (4) many hydrocarbons from lipid structures. Single ion monitoring (SIM) and tetramethyl ammonium hydroxide (TMAH) methylation were utilised for detection of aliphatic hydrocarbons and acidic components, respectively. Hydrocarbons ranging from C9 to C28 were detected by SIM analysis, while aliphatic acids ranged from C9 to C18. The majority of components analysed directly in the air particles were similar to those from the humic acid extracts. Many of the structural components of air particles were typical of humic substances of soil and aqueous systems and these were attributed to both biogenic and anthropogenic sources.

Increased risk of allergy in children due to formaldehyde exposure in homes

BACKGROUND

Formaldehyde levels were measured in 80 houses in the Latrobe Valley, Victoria, Australia. An association between exposure to formaldehyde and sensitization to common aeroallergens has been suggested from animal trials, but no epidemiologic studies have tested this hypothesis.

METHODS

A total of 148 children 7-14 years of age were included in the study, 53 of whom were asthmatic. Formaldehyde measurements were performed on four occasions between March 1994 and February 1995 with passive samplers. A respiratory questionnaire was completed, and skin prick tests were performed.

RESULTS

The median indoor formaldehyde level was 15.8 microg/ m3(12.6ppb), with a maximum of 139 microg/m3 (111 ppb). There was an association between formaldehyde exposure and atopy, and the adjusted odds ratio was 1.40 (0.98-2.00, 95% CI) with an increase in bedroom formaldehyde levels of 10 microg/m3. Furthermore, more severe allergic sensitization was demonstrated with increasing formaldehyde exposure. On the other hand, there was no significant increase in the adjusted risk of asthma or respiratory symptoms with formaldehyde exposure. However, among children suffering from respiratory symptoms, more frequent symptoms were noted in those exposed to higher formaldehyde levels.

CONCLUSIONS

Low-level exposure to indoor formaldehyde may increase the risk of allergic sensitization to common aeroallergens in children.

Nitrogen dioxide in Australian homes: levels and sources

Indoor nitrogen dioxide exposure has been associated with respiratory symptoms in children in many studies, but in Australia, levels and sources of nitrogen dioxide in homes have not been well-characterized. Therefore, as part of a larger indoor environmental study, conducted in the Latrobe Valley, Victoria, nitrogen dioxide was monitored using passive samplers in 80 homes. Samples were collected on five occasions over one year. Mean indoor levels were higher than outdoor levels, and a seasonal variation was evident, with highest levels recorded in winter. The overall median level was 11.6 micrograms/m3 (6.0 ppb), ranging from < 0.7 to 246 micrograms/m3 (128 ppb). Major indoor nitrogen dioxide sources were: gas stoves, vented gas heaters, and smoking. Some 67% of variation in indoor nitrogen dioxide levels could be explained by presence of major sources, house age, and outdoor levels. Gas stoves were the main contributors.

Indoor environmental factors associated with house-dust-mite allergen (Der p 1) levels in south-eastern Australian houses

BACKGROUND

Eighty households in the Latrobe Valley, Victoria, Australia, were sampled for house-dust-mite allergen (Der p 1). Allergen levels vary greatly between houses within climate regions. The reasons for this are not well understood.

METHODS

House-dust-mite allergen samples were collected on six occasions between March 1994 and February 1995. All participating households contained at least one child between 7 and 14 years with a total of 148 subjects, 53 of whom were asthmatic. A detailed house survey was performed during every sampling visit, and a dwelling questionnaire was completed. Relative humidity was measured at the time of sample collection.

RESULTS

The median bed allergen level was 30 microg/g during the first sampling period. Significantly higher allergen levels were associated with wool bedding and inner-spring mattresses (P < 0.001). As estimated from a multiple linear regression model, up to 70% reduction in bed allergen levels may be achieved by avoiding wool bedding and inner-spring mattresses. Other risk factors for high allergen levels included high indoor relative humidity, presence of substantial visible mould growth, brick cladding, and concrete slab foundation of the house.

CONCLUSIONS

Avoiding wool bedding and replacing inner-spring mattresses with foam could substantially reduce bed allergen levels.

Respiratory symptoms in children and indoor exposure to nitrogen dioxide and gas stoves

Nitrogen dioxide levels were measured in 80 homes in the Latrobe Valley, Victoria, Australia, using passive samplers. Some 148 children between 7 and 14 yr of age were recruited as study participants, 53 of whom had asthma. Health outcomes for the children were studied using a respiratory questionnaire, skin prick tests, and peak flow measurements. Nitrogen dioxide concentrations were low, with an indoor median of 11.6 microgram/m3 (6.0 ppb), and a maximum of 246 microgram/m3 (128 ppb). Respiratory symptoms were more common in children exposed to a gas stove (odds ratio 2.3 [95% CI 1. 0-5.2], adjusted for parental allergy, parental asthma, and sex). Nitrogen dioxide exposure was a marginal risk factor for respiratory symptoms, with a dose-response association present (p = 0.09). Gas stove exposure was a significant risk factor for respiratory symptoms even after adjusting for nitrogen dioxide levels (odds ratio 2.2 [1.0-4.8]), suggesting an additional risk apart from the average nitrogen dioxide exposure associated with gas stove use. Atopic children tended to have a greater risk of respiratory symptoms compared with nonatopic children with exposure to gas stoves or nitrogen dioxide, but the difference was not significant.

Indoor airborne fungal spores, house dampness and associations with environmental factors and respiratory health in children

BACKGROUND

Children living in a damp house are more likely to suffer from respiratory symptoms and it has been suggested that exposure to fungi is an important contributing factor. However, more knowledge about underlying mechanisms for the association are needed.

OBJECTIVE

To identify associations between measures of house dampness, levels of airborne fungal spores, housing factors and health outcomes in children.

METHODS

Eighty households with 148 children between 7 and 14 years of age were recruited in the Latrobe Valley, Victoria, Australia. Some 36% of participating children were asthmatic. Six sampling visits were made to each house between March 1994 and February 1995 on a 2-monthly cycle. Samples for airborne total and viable fungal spores were collected from bedrooms, living rooms, kitchens and outdoors. A detailed dwelling characterization, using a questionnaire and inspection surveys, was carried out. Skin-prick tests were performed with extracts of common aeroallergens and a respiratory questionnaire was completed for each child.

RESULTS

Large airborne fungal spore concentrations were recorded in association with: musty odour, water intrusion, high indoor humidity, limited ventilation through open windows, few extractor fans and failure to remove indoor mould growth. Visible mould growth or condensation evidence was associated with large concentrations of Cladosporium spores, but not with large total spore concentrations. Penicillium exposure was a risk factor for asthma, while Aspergillus exposure was a risk factor for atopy. Fungal allergies were more common among children exposed to Cladosporium or Penicillium in winter or to musty odour. Respiratory symptoms were marginally more common with exposure to Cladosporium or total spores in winter.

CONCLUSION

Indoor exposure to certain fungal genera in winter was a risk factor for asthma, atopy and respiratory symptoms in children. On the other hand, no significant associations were seen between average viable or total spore concentrations and child health. Actual measurements of fungal spores predict health outcomes better than reported dampness.

A rapid method for the measurement of the oxoreductase activity of 11beta-hydroxysteroid dehydrogenase in granulosa-lutein cells from patients undergoing in-vitro fertilization

The presence of 11beta-hydroxysteroid dehydrogenase (11beta-HSD; EC1.1.1.146), the enzyme responsible for the interconversion of cortisol and cortisone, in granulosa-lutein (GL) cells is associated with a poor outcome in in-vitro fertilization (IVF). We have developed a simple method of assessing the reductase component of 11beta-HSD in these cells which is sufficiently rapid to provide data on the enzyme's activity prior to embryo replacement. Cells were pooled from follicular aspirates and challenged with cortisone within 2 h of aspiration. Cortisol secretion was then measured by radioimmunoassay. Conversion of cortisone to cortisol was linear for up to 3 h and was completely inhibited by glycyrrhetinic acid, a specific 11beta-HSD inhibitor. Initial velocity rates were determined for eight cortisone concentrations (range 0.1-8 micromol/l), and the apparent Km calculated (1.6 +/- 0.4 micromol/l). There was no evidence of substrate/product inhibition and conversion of cortisone to cortisol was <2% in all experiments. In subsequent work, cells were challenged with cortisone (6 micromol/l) for 2 h. Cells challenged for 2 h immediately following purification from follicular aspirates produced varying amounts of cortisol (range 25-150 nmol/pooled follicles from each patient, n = 10 patients), while basal outputs were <6 nmol/l. Enzyme activity was also examined in cells on a per follicle basis from individual patients and found to vary considerably (e.g. 19, 53 and 36 nmol/l cortisol/1000 cells, three follicles). Having established the method for assessing 11beta-reductase activity within GL cells, we performed a small prospective study on a series of 20 patients examining the enzyme activity within 110 individual follicles. 11Beta-reductase activity varied greatly from patient to patient and from follicle to follicle ranging from <0.024-0.57 nmol cortisol/microg DNA but at present low patient numbers preclude a meaningful correlation between enzyme activity and pregnancy rate. In summary, we have developed a simple, rapid (<8 h) assay for detecting the reductase activity of 11beta-HSD in GL cells isolated from pooled or individual follicles. This procedure is sufficiently quick to aid in the choice of embryo for replacement.

Exogenous steroids and the control of oestradiol secretion by human granulosa-lutein cells by follicle stimulating hormone and insulin-like growth factor-I

This study first examined the relative activities of 17 alpha-hydroxylase, 17,20-lyase and aromatase in human granulosa-lutein cells by challenging the cells with steroid precursors in the oestradiol biosynthetic pathway. When cells from four patients were challenged with precursor steroids on the pathway to oestrogen synthesis (pregnenolone, 17 alpha-hydroxypregnenolone, progesterone, 17 alpha-hydroxyprogesterone and androstenedione at 5 x 10(-6) M), oestradiol (nmol/l) outputs after 1 day of culture were (median, interquartile range) as follows: 4.1 (2.1-8.8; pregnenolone), 3.1 (1.7-6.0; progesterone), 12.5 (6.9-18.1; 17 alpha-hydroxypregnenolone), 8.2 (4.1-16.7; 17 alpha-hydroxyprogesterone) and 251 (140-819; androstenedione). No further increases were seen when the steroid concentration was increased to 1 x 10(-5) M. Basal oestradiol secretion was 3.5 (1.6-8.2) nmol/l. We conclude that the conversion of pregnenolone/progesterone to oestradiol by granulosa-lutein cells is rate limited by 17 alpha-hydroxylase activity but that these cells are capable of oestradiol secretion (in the nmol/l range) in the absence of androstenedione. In the second part of this study we examined the control of granulosa-lutein oestradiol secretion by follicle stimulating hormone (FSH) and insulin-like growth factor-I (IGF-I) in the presence and absence of exogenous androstenedione (10(-6) M). Cells were cultured for up to 6 days and basal oestradiol (nmol/l) fell dramatically over this period both in the presence and absence of androtenedione, e.g. from 339 (223-419) (median and interquartile range, cells from five patients cultured in the presence of androstenedion) after 2 days to 14 (7-59) after 6 days.(ABSTRACT TRUNCATED AT 250 WORDS)

Insulin-like growth factor-I stimulated growth and progesterone production by granulosa-lutein cells. Lack of interaction with physiological concentrations of luteinizing hormone and follicle stimulating hormone

This study examined the effect of physiological concentrations of insulin-like growth factor-I (IGF-I), follicle stimulating hormone (FSH) and luteinizing hormone (LH) alone and in combination on growth and progesterone production by human granulosa-lutein cells. Granulosa-lutein cells were obtained from patients (n > 5) undergoing in-vitro fertilization (IVF) or gamete intra-Fallopian transfer (GIFT) treatment. Cells were cultured for 2 and 4 days in the presence of physiological concentrations of human LH (code 68/40, 5 IU/l), FSH (code 83/575, 20 IU/l), or IGF-I (30 ng/ml) alone and in combination. Medium was changed every 2 days. No change in cell number (relative to each patient's own control) was observed after treatment with FSH or LH alone or in combination at any time. IGF-I alone produced a 117 +/- 8% and 176 +/- 15% (mean +/- SEM, n = 5) increase in cell number after 2 and 4 days respectively. This increase was unaffected by the addition of LH or FSH at any time. Basal progesterone secretion was variable (1633, 975-2409 nmol/l, median and interquartile range, day 2) and decreased with time in culture (564, 375-1089 nmol/l, day 4). After 2 days culture progesterone output increased by 116 +/- 5% of control in response to LH and 153 +/- 13% (mean +/- SEM, n = 5) of control in response to IGF-I. After 4 days, LH and IGF-I stimulated progesterone levels by 279 +/- 52% and 264 +/- 37% (mean +/- SEM, n = 5) respectively.(ABSTRACT TRUNCATED AT 250 WORDS)

Development of embryos from natural cycle in-vitro fertilization: impact of medium type and female infertility factors

Single embryos derived from natural cycle in-vitro fertilization (IVF) were graded during the pre-transfer culture period using morphological criteria. Most embryos developed well in culture with 96% showing continuing division and 68% showing good morphological appearance, although embryo quality tended to decline with an increased incidence of fragmentation and uneven cleavage as division proceeded. Both the pregnancy rate and the distribution of embryo grades were similar among four different culture media used, suggesting that choice of medium had little impact on outcome. In contrast, there were marked differences in pregnancy rate according to the type of infertility, which was not reflected in a decrease in embryo quality. However, although embryos from patients with tubal infertility implanted and formed viable pregnancies irrespective of morphological appearance, only 'good' quality embryos from patients with non-tubal (or 'unexplained') infertility were able to implant. Thus the appearance of the embryo derived from natural cycle IVF in women with unexplained infertility may be of clinical relevance.

Profiles of hypoxanthine guanine phosphoribosyl transferase and adenine phosphoribosyl transferase activities measured in single preimplantation human embryos by high-performance liquid chromatography

The profiles of hypoxanthine guanine phosphoribosyl transferase (HGPRT) and adenine phosphoribosyl transferase (APRT) activities were examined in normally fertilized human embryos developing at the normal rate in vitro between the 2-4-cell stage on Day 2 and the blastocyst stage on Day 6 after insemination. The activities of both enzymes were assayed simultaneously in extracts of single embryos by measuring the rate of production of the reaction products, inosine monophosphate (IMP) and adenine monophosphate (AMP), separated by high-performance liquid chromatography (HPLC). The activity profiles of the two enzymes over this period showed marked differences. The activity of HGPRT, coded by the X chromosome, increased between Days 2 and 4 (P less than 0.01) but declined sharply by Day 6 (P less than 0.001), whereas autosome-coded APRT activity remained low between Days 2 and 5, but increased on Day 6 (P less than 0.05). The profile of HGPRT activity may reflect a combination of decreasing levels of maternal enzyme inherited from the oocyte and the initiation of embryonic gene expression followed by X inactivation at the blastocyst stage on Day 6.

The eye and the hand: a clinical review

The visual system is highly susceptible to involvement in many systemic disorders. Disorders of tissues common to the eye and the hand, such as vascular, connective and neural, may have striking clinical signs in both. Thus signs in the hand may provide useful diagnostic clues in the assessment of disorders of the visual system. The hand may even be causative in traumatic or infective eye diseases. This review provides a schema for a suitable hand examination and documents the eye and hand features of various common and uncommon disorders. The importance to the ophthalmologist of a careful hand examination is emphasised.

Non-invasive measurement of glucose and pyruvate uptake by individual human oocytes and preimplantation embryos

Pyruvate and glucose uptake by 73 individual human oocytes and preimplantation embryos was measured non-invasively, using an ultramicrofluorescence assay to analyse changes in substrate levels in microdroplets of culture medium. The uptake of both substrates was measured over successive daily incubations between days 1 (unfertilized oocytes) or 2 ('spare' embryos which were not transferred) and day 6 (day 0 = day of insemination). Under these conditions, 58% (25/43) of fertilized embryos with two pronuclei on day 1 developed to the blastocyst stage by day 6. The pyruvate uptake of these embryos increased from approximately 28 to a maximum of 40 pmol/embryo/h between days 2.5 and 4.5. Similarly, glucose uptake increased from approximately 8 to 14 pmol/embryo/h between days 2.5 and 4.5, but then increased further to 24 pmol/embryo/h on day 5 at the blastocyst stage. [corrected] The pyruvate uptake of fertilized embryos which arrested at cleavage stages was significantly lower than for those which developed to the blastocyst stage. Polyspermic and parthenogenetic embryos, and unfertilized oocytes also had lower pyruvate uptakes at later stages. The glucose uptake of unfertilized oocytes and abnormal embryos never reached the level of fertilized embryos at the blastocyst stage on day 5.5. Non-invasive measurement of pyruvate uptake before embryo transfer may provide a valuable functional criterion for the selection of viable embryos capable of developing to the blastocyst stage.

Uptake of pyruvate by early human embryos determined by a non-invasive technique

Normal levels of pyruvate in freshly collected follicular fluid were found to be 0.45 mM, a value approximately 4 X that of serum. The utilization of pyruvate by human oocytes and early embryos has been measured, non-invasively, using two similar but separate analytical methods. The mature oocyte has a high level of pyruvate uptake (36 pmol/embryo/h). After fertilization this value falls, and then slowly increases to reach a peak just prior to the morula stage of 27 pmol/embryo/h before decreasing. Degenerating oocytes and embryos demonstrated much lower pyruvate uptake rates. The possible usefulness of this method for assessing embryo viability is discussed.

Generalized van der Waals theory. IV. Variational determination of the hard-sphere diameter

The generalized van der Waals theory is here extended by incorporating the hard-sphere diameter as a variational parameter. Moreover, the entropy functional has been chosen so as to accurately reflect the density dependence of the excluded volume revealed by the hard-sphere equation of state. The combined effect of these two improvements yields a theory capable of describing the equation of state of the Lennard- Jones model of classical fluids to an accuracy comparable to that of the pair correlation theories. The results presented here include critical parameters and coexistence and vapour pressure curves.

Generalized van der Waals theory. V. Equation of state of two-dimensional simple fluid

We have investigated the two-dimensional gas-liquid condensation of a LJ(12-6) system with relevance to monolayer adsorption. A recently developed generalized van der Waals theory has been used to calculate critical parameters, coexistence curves, vapour pressure curves and other thermodynamic information partially as an investigation into the validity of the theory. Two aspects are of particular concern. Firstly, we are interested in the temperature and density dependence of the excluded volume effect. The effective hard-disc diameter is determined variationally so as to minimize the free energy. Secondly, we apply a simple means of quantizing the theory to estimate shifts in the thermodynamic properties of light fluids due to the quantum character of the translational motion. Apparently useful accuracy is obtained.

Generalized van der Waals theory. II. Quantum effects on the equation of state

The light gases deviate markedly from the Law of Corresponding States approximately obeyed by the heavier gases. This is due, at least in part, to the quantization of translational motion at higher densities. This effect has been studied within the framework of a generalized van der Waals model. Each particle is treated as moving within a cubic volume determined by the surrounding particles. Changes to the critical parameters and to the shapes of the coexistence and vapour pressure curves are calculated and compare well with experiment, considering the simplicity of our model.

Vibrational spectra of some Group Vb halides. III. A far-infrared and Raman spectral study of some Hexahalogeno-, Pentahalogeno-, and Tetrahalogeno-bismuthate(III) and -antimonate(III) salts

Vibrational spectra of a series of halogeno-complex ions of antimony(III) and bismuth(III) are reported. Results of crystal spectra are discussed in terms of the structural environment and a comparative study of Raman solution and solid state spectra is given. Some force constants for hexahalogeno species on a modified Urey-Bradley force field have been calculated and their significance is discussed.

Vibrational spectra of halomercurate(II) complexes in solution

The Raman spectra of solutions in acetone of crystalline salts with anionic stoicheiometries HgX3-, HgX42-, Hg2X5-, and Hg3X82- (where X = Cl, Br, or I) were determined. The dominant species identified in all cases except (pyH)2HgI4 was HgX3- which probably had a bent (C3v) configuration. The species Hg2I5- was also identified in solutions of Me4NHg.2I5. The disproportionation reactions are discussed in terms of ion-solvent interactions.

Vibrational spectra of crystalline halomercurate(II) complexes

The vibrational spectra of crystalline halomercurate salts with anionic stoicheiometries HgX3-, HgX42-, Hg2X5-, Hg3X82- (where X = Cl, Br, I) have been studied. The cations Me4N+, Et4N+, Ph4As+, and pyH+ were used as necessary. The effect of crystalline symmetry and packing on the spectra of both anion and cation are discussed and the spectra are used to deduce the most probable crystalline packing for salts containing the Hg2X5- and Hg3X82- species. The spectra of the cations Me4N+ and Et4N+ are assigned and discussed.

Vibrational spectra of arsenic triiodide

The Raman spectrum of AsI3 has been determined in solution in CS2 and in the solid state. For the solution the assignment of Stammreich, Forneris, and Tavares has been confirmed by polarization studies. In the solid state it is shown that assignment of the spectrum is only possible on the basis of space group symmetry and an earlier assignment based on point group C3v is in error. The solid state frequencies (R3 symmetry) are v1(Ag) 185 cm-l, v2(Ag) 75 cm-l, v3(Au) 201 cm-l, v4(Au) 102 cm-1, v5(Eg) 205 cm-1, v6(Eg) 50 cm-l, v7(Eg) 216 cm-1, v8(Eg) 74 cm-1.

Raman spectra of mercury(I) and mercury(II) iodides in the solid state

The Raman spectrum of yellow Hg2I2 contains features at 110 and 192 cm-l assignable to Hg-Hg stretching and Hg-1 stretching respectively. The spectrum of yellow HgI2 at c. 150� shows bands at 33 cm-1 (I-Hg-1 bending) and 133 cm-1 (Hg-I stretching). The Raman shifts for red HgI2 are 24, 111, and 137 cm-l, attributable to I-Hg-1 bending, symmetric and asymmetric Hg-1 stretching respectively. Assignments are made on the basis of factor group analyses on the Bravais unit cells. Some force constants are calculated.