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El-Nabulsi RA. Fractal Pennes and Cattaneo-Vernotte bioheat equations from product-like fractal geometry and their implications on cells in the presence of tumour growth. J R Soc Interface 2021; 18:20210564. [PMID: 34465211 PMCID: PMC8437240 DOI: 10.1098/rsif.2021.0564] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2021] [Accepted: 08/02/2021] [Indexed: 11/12/2022] Open
Abstract
In this study, the Pennes and Cattaneo-Vernotte bioheat transfer equations in the presence of fractal spatial dimensions are derived based on the product-like fractal geometry. This approach was introduced recently, by Li and Ostoja-Starzewski, in order to explore dynamical properties of anisotropic media. The theory is characterized by a modified gradient operator which depends on two parameters: R which represents the radius of the tumour and R0 which represents the radius of the spherical living tissue. Both the steady and unsteady states for each fractal bioheat equation were obtained and their implications on living cells in the presence of growth of a large tumour were analysed. Assuming a specific heating/cooling by a constant heat flux equivalent to the metabolic heat generation in the tissue, it was observed that the solutions of the fractal bioheat equations are robustly affected by fractal dimensions, the radius of the tumour growth and the dimensions of the living cell tissue. The ranges of both the fractal dimensions and temperature were obtained, analysed and compared with recent studies. This study confirms the importance of fractals in medicine.
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Affiliation(s)
- Rami Ahmad El-Nabulsi
- Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
- Department of Physics and Materials Science, Faculty of Science, Chiang Mai University 50200, Thailand
- Athens Institute for Education and Research, Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki 10671, Athens, Greece
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Bach V, Delanaud S, Barcat L, Bodin E, Tourneux P, Libert JP. Distal skin vasodilation in sleep preparedness, and its impact on thermal status in preterm neonates. Sleep Med 2019; 60:26-30. [PMID: 30777678 DOI: 10.1016/j.sleep.2018.12.026] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 07/16/2018] [Revised: 12/11/2018] [Accepted: 12/15/2018] [Indexed: 11/29/2022]
Abstract
OBJECTIVE Prior to sleep onset in human adults, distal body temperatures change progressively from wakefulness levels (low skin temperatures and a high core temperature) to sleep levels (high skin temperatures and a low core temperature) due to distal skin vasodilation and greater body cooling. It is not known whether this sleep preparedness exists in preterm neonates, even though sleep has a key role in neonatal health and neurodevelopment. The present study's objectives were to determine whether sleep preparedness (as observed in adults) can be evidenced in preterm neonates, and to assess repercussions on thermal stress. METHODS During a 12-h night-time polysomnography session, skin temperatures (recorded with an infrared camera), sleep, and wakefulness episodes were measured in 18 nine-day-old preterm neonates. RESULTS Fifteen wakefulness episodes were considered. Our results highlighted significant pre-sleep distal skin vasodilation (mainly at the foot: an increase of 0.38 °C in the 20 min preceding sleep onset) for the first time in preterm neonates. This vasodilation occurred even though (1) most factors known to influence pre-sleep vasodilation in adults were not present in these neonates, and (2) the neonates were nursed in a nearly constant thermal environment. The vasodilatation-related increase in body heat loss corresponded to a 0.15°C/h fall in mean body temperature (calculated using partitional calorimetry). CONCLUSION Compensation for this body heat loss and the maintenance of body homeothermia would require a 4% increase in metabolic heat production. In neonates, this type of energy expenditure cannot be maintained for a long period of time.
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Affiliation(s)
- Véronique Bach
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France.
| | - Stéphane Delanaud
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France
| | - Lucie Barcat
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France; Médecine Néonatale et Réanimation Pédiatrique, Pôle Femme Couple Enfant, CHU Amiens, Amiens, France
| | - Emilie Bodin
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France; Neurologie Pédiatrique, Pôle Femme Couple Enfant, CHU Amiens, Amiens, France
| | - Pierre Tourneux
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France; Médecine Néonatale et Réanimation Pédiatrique, Pôle Femme Couple Enfant, CHU Amiens, Amiens, France
| | - Jean-Pierre Libert
- PériTox, UMR_I 01, Jules Verne University of Picardy, CURS, Présidence UPJV, Amiens, France
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Baddock SA, Purnell MT, Blair PS, Pease AS, Elder DE, Galland BC. The influence of bed-sharing on infant physiology, breastfeeding and behaviour: A systematic review. Sleep Med Rev 2018; 43:106-117. [PMID: 30553183 DOI: 10.1016/j.smrv.2018.10.007] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2018] [Revised: 10/29/2018] [Accepted: 10/30/2018] [Indexed: 11/18/2022]
Abstract
This review aimed to better understand the underlying physiology of the risks and benefits of bed-sharing. Eight databases were searched using terms relating to adult-infant/baby, bed-sharing/co-sleeping combined with outcome terms for physiology, sleep, cardiovascular, respiratory, temperature and behaviour. Of 836 papers identified, 59 papers representing 48 cohorts met inclusion criteria. Objective data using various methodologies were available in 27 papers and subjective data in 32 papers. Diverse measures were reported using variable definitions of bed-sharing. Identified physiological and behavioural differences between bed-sharing and cot-sleeping included increased behavioural arousals, warmer in-bed temperatures and increased breastfeeding duration in bedshare infants as well as differences in infant overnight sleep architecture, cardiorespiratory control and cortisol responses to stress. We concluded that many differences are context-specific, and dependent on the subjective view of the parents and their cultural values. Objective risk arises if the infant is unable to mount an appropriate physiological or behavioural response to their micro-environment. More studies in the bed-sharing setting are needed to identify infant risk, the potential benefits of a safer environment, and how bed-sharing interacts with infant care practices other than sleep.
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Affiliation(s)
| | | | - Peter S Blair
- Bristol Medical School, University of Bristol, United Kingdom
| | - Anna S Pease
- Bristol Medical School, University of Bristol, United Kingdom
| | - Dawn E Elder
- Department of Paediatrics & Child Health, University of Otago, Wellington, New Zealand
| | - Barbara C Galland
- Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand.
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4
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Baddock SA, Tipene-Leach D, Williams SM, Tangiora A, Jones R, Mącznik AK, Taylor BJ. Physiological stability in an indigenous sleep device: a randomised controlled trial. Arch Dis Child 2018; 103:377-382. [PMID: 29030386 DOI: 10.1136/archdischild-2017-313512] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 06/06/2017] [Revised: 09/15/2017] [Accepted: 09/16/2017] [Indexed: 11/03/2022]
Abstract
OBJECTIVE To compare overnight oxygen saturation, heart rate and the thermal environment of infants sleeping in an indigenous sleep device (wahakura) or bassinet to identify potential risks and benefits. DESIGN Randomised controlled trial. SETTING Family homes in low socio-economic areas in New Zealand. PATIENTS 200 mainly Māori mothers and their infants. INTERVENTIONS Participants received a wahakura or bassinet from birth. MAIN OUTCOME MEASURES Overnight oximetry, heart rate and temperature at 1 month. RESULTS Intention-to-treat analysis for 83 bassinet and 84 wahakura infants showed no significant differences between groups for the mean time oxygen saturation (SpO2) was less than 94% (0.54 min, 95% CI -1.36 to 2.45) or less than 90% (0.22 min, 95% CI -0.56 to 1.00), the mean number of SpO2 dips per hour >5% (-0.19, 95% CI -3.07 to 2.69) or >10% (-0.41, 95% CI -1.63 to 0.81), mean heart rate (1.99 beats/min, 95% CI -1.02 to 4.99), or time shin temperature >36°C (risk ratio (RR): 0.63, 95% CI 0.13 to 2.99) or <34°C (RR: 0.89, 95% CI 0.61 to 1.30). A per-protocol analysis of 45 bassinet and 26 wahakura infants and an as-used analysis of 104 infants in a bassinet and 48 in a wahakura found no significant differences between groups for all outcome measures. CONCLUSIONS This indigenous sleep device is at least as safe as the currently recommended bassinet, which supports its use as a sleep environment that offers an alternative way of bed-sharing. TRIAL REGISTRATION NUMBER Australian New Zealand Clinical Trials Registry: ACTRN12610000993099.
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Affiliation(s)
- Sally A Baddock
- School of Midwifery, Otago Polytechnic, Dunedin, New Zealand.,Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand
| | - David Tipene-Leach
- Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand.,Faculty of Education, Humanities and Health Science, Eastern Institute of Technology, Hawke's Bay, New Zealand
| | - Sheila M Williams
- Department of Preventive and Social Medicine, Dunedin School of Medicine, University of Otago, New Zealand
| | - Angeline Tangiora
- Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand
| | - Raymond Jones
- Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand
| | | | - Barry J Taylor
- Department of Women's and Children's Health, Dunedin School of Medicine, University of Otago, New Zealand.,Department of the Dean, Dunedin School of Medicine, University of Otago, New Zealand
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Galland BC, Elder DE. Sudden unexpected death in infancy: biological mechanisms. Paediatr Respir Rev 2014; 15:287-92. [PMID: 25301029 DOI: 10.1016/j.prrv.2014.09.003] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/15/2014] [Accepted: 09/15/2014] [Indexed: 11/16/2022]
Abstract
Sudden unexpected death in infancy (SUDI) covers both explained and unexplained deaths. Unexplained cases or SIDS are likely to have multiple neural mechanisms contributing to the final event. The evidence ranges from subtle physiological signs related to autonomic control, to findings at autopsy of altered neurotransmitter systems, including the serotonergic system, a network that has an extensive homeostatic role in cardio-respiratory and thermoregulatory control. Processes may be altered by the vulnerability of the infant due to age, poor motor ability, or a genetic predisposition. The fatal event may occur in response to an environmental stress. A single final physiological route to death seems unlikely. An understanding of the reasons for explained SUDI also reminds us that a thorough investigation is required after each death occurs.
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Affiliation(s)
- Barbara C Galland
- Department of Women's & Children's Health, University of Otago, Dunedin, New Zealand.
| | - Dawn E Elder
- Department of Paediatrics & Child Health, University of Otago, Wellington, New Zealand.
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Zornoza-Moreno M, Fuentes-Hernández S, Sánchez-Solis M, Rol MÁ, Larqué E, Madrid JA. Assessment of circadian rhythms of both skin temperature and motor activity in infants during the first 6 months of life. Chronobiol Int 2011; 28:330-7. [PMID: 21539424 DOI: 10.3109/07420528.2011.565895] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
The authors developed a method useful for home measurement of temperature, activity, and sleep rhythms in infants under normal-living conditions during their first 6 mos of life. In addition, parametric and nonparametric tests for assessing circadian system maturation in these infants were compared. Anthropometric parameters plus ankle skin temperature and activity were evaluated in 10 infants by means of two data loggers, Termochron iButton (DS1291H, Maxim Integrated Products, Sunnyvale, CA) for temperature and HOBO Pendant G (Hobo Pendant G Acceleration, UA-004-64, Onset Computer Corporation, Bourne, MA) for motor activity, located in special baby socks specifically designed for the study. Skin temperature and motor activity were recorded over 3 consecutive days at 15 days, 1, 3, and 6 mos of age. Circadian rhythms of skin temperature and motor activity appeared at 3 mos in most babies. Mean skin temperature decreased significantly by 3 mos of life relative to previous measurements (p = .0001), whereas mean activity continued to increase during the first 6 mos. For most of the parameters analyzed, statistically significant changes occurred at 3-6 mos relative to 0.5-1 mo of age. Major differences were found using nonparametric tests. Intradaily variability in motor activity decreased significantly at 6 mos of age relative to previous measurements, and followed a similar trend for temperature; interdaily stability increased significantly at 6 mos of age relative to previous measurements for both variables; relative amplitude increased significantly at 6 mos for temperature and at 3 mos for activity, both with respect to previous measurements. A high degree of correlation was found between chronobiological parametric and nonparametric tests for mean and mesor and also for relative amplitude versus the cosinor-derived amplitude. However, the correlation between parametric and nonparametric equivalent indices (acrophase and midpoint of M5, interdaily stability and Rayleigh test, or intradaily variability and P(1)/P(ultradian)) despite being significant, was lower for both temperature and activity. The circadian function index (CFI index), based on the integrated variable temperature-activity, increased gradually with age and was statistically significant at 6 mos of age. At 6 mos, 90% of the infants' rest period coincided with the standard sleep period of their parents, defined from 23:00 to 07:00 h (dichotomic index I < O; when I < O = 100%, there is a complete coincidence between infant nocturnal rest period and the standard rest period), whereas at 15 days of life the coincidence was only 75%. The combination of thermometry and actimetry using data loggers placed in infants' socks is a reliable method for assessing both variables and also sleep rhythms in infants under ambulatory conditions, with minimal disturbance. Using this methodological approach, circadian rhythms of skin temperature and motor activity appeared by 3 mos in most babies. Nonparametric tests provided more reliable information than cosinor analysis for circadian rhythm assessment in infants.
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Baddock SA, Galland BC, Beckers MGS, Taylor BJ, Bolton DPG. Bed-sharing and the infant's thermal environment in the home setting. Arch Dis Child 2004; 89:1111-6. [PMID: 15557043 PMCID: PMC1719737 DOI: 10.1136/adc.2003.048082] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Abstract
AIMS To study bed-sharing and cot-sleeping infants in the natural setting of their own home in order to identify differences in the thermal characteristics of the two sleep situations and their potential hazards. METHODS Forty routine bed-sharing infants and 40 routine cot-sleeping infants aged 5-27 weeks were individually matched between groups for age and season. Overnight video and physiological data of bed-share infants and cot-sleeping infants were recorded in the infants' own homes including rectal, shin, and ambient temperature. RESULTS The mean rectal temperature two hours after sleep onset for bed-share infants was 36.79 degrees C and for cot-sleeping infants, 36.75 degrees C (difference 0.05 degrees C, 95% CI -0.03 to 0.14). The rate of change thereafter was higher in the bed-share group than in the cot group (0.04 degrees C v 0.03 degrees C/h, difference 0.01, 0.00 to 0.02). Bed-share infants had a higher shin temperature at two hours (35.43 v 34.60 degrees C, difference 0.83, 0.18 to 1.49) and a higher rate of change (0.04 v -0.10 degrees C/h, difference 0.13, 0.08 to 0.19). Bed-sharing infants had more bedding. Face covering events were more common and bed-share infants woke and fed more frequently than cot infants (mean wake times/night: 4.6 v 2.5). CONCLUSIONS Bed-share infants experience warmer thermal conditions than those of cot-sleeping infants, but are able to maintain adequate thermoregulation to maintain a normal core temperature.
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Affiliation(s)
- S A Baddock
- Department of Women's & Children's Health, Dunedin School of Medicine, University of Otago, Dunedin, New Zealand.
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Lindsley G, Dowse HB, Burgoon PW, Kolka MA, Stephenson LA. A persistent circhoral ultradian rhythm is identified in human core temperature. Chronobiol Int 1999; 16:69-78. [PMID: 10023577 DOI: 10.3109/07420529908998713] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
There have been inconclusive reports of intermittent rhythmic fluctuations in human core temperature, with the fluctuations having a period of about an hour. However, there has been no definitive demonstration of the phenomenon. This is likely due to the intermittency and seeming instability of the events. They have been assumed to be secondary rather than autonomous phenomena, putatively arising from the oscillation between rapid eye movement (REM) and non-REM (NREM) sleep. In this study, we report identification of a clear, persistent circhoral ultradian rhythm in core temperature with a period for this study sample of 64 +/- 8 minutes. It appeared simultaneously with an intact circadian core temperature rhythm, persisted despite complex perturbations in core temperature brought about by the sequelae of 40 h of sleep deprivation, and could not be attributed to sleep stage alternation or other endogenous or exogenous factors. Analysis of power spectra using the maximum entropy spectral analysis (MESA) method, which can uncover hidden rhythmicities, demonstrated that the apparent intermittency of the rhythm is due to periodic interference of this rhythm by other rhythmic events. The persistence of this oscillation suggests that, in this system as in the endocrine system, circhoral regulation is an integral component of thermoregulatory control. Identifying the source and functional role of this novel rhythm warrants further work.
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Affiliation(s)
- G Lindsley
- U.S. Army Research Institute of Environmental Medicine, Natick, Massachusetts, USA
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Tappin DM, Ford RP, Nelson KP, Price B, Macey PM, Dove R, Larkin J, Slade B. Breathing, sleep state, and rectal temperature oscillations. Arch Dis Child 1996; 74:427-31. [PMID: 8669959 PMCID: PMC1511530 DOI: 10.1136/adc.74.5.427] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
Overheating may cause terminal apnoea and cot death. Rectal temperature and breathing patterns were examined in normal infants at home during the first 6 months of life. Twenty one infants had continuous overnight rectal temperature and breathing recordings for 429 nights (mean 20.4 nights, range 7-30) spaced over the first six months of life. Periods when breathing was 'regular' were directly marked on single night records. Sleep state was determined from respiratory variables. 'Regular' breathing was a reliable marker of 'quiet' sleep (specificity 93%). The duration of 'quiet' sleep increased from 6 to 22 minutes from two weeks to three months of age and then remained static, as did the proportion of sleep spent in the quiet phase (9% to 34%). Rectal temperature fell during 66% of quiet sleep and usually rose during rapid eye movement (REM) sleep. The drop in rectal temperature was maximal at the start of quiet sleep, whereas the maximum rise during REM sleep was reached after 10 to 15 minutes. Oscillations in rectal temperature are associated with changes in sleep and breathing state. The maturation of rectal temperature patterns during the first six months of life are closely related to a maturation of sleep state and breathing patterns.
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Affiliation(s)
- D M Tappin
- Community Paediatric Unit, HealthLink South, Christchurch, New Zealand
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Abstract
The recordings of 1197 overnight rectal temperatures from infants of up to 24 weeks of age have been analysed with respect to 12 variables, including a number of risk factors for sudden infant death syndrome. Multivariable regression was used to identify if parental smoking, bottle feeding, sleeping position, and birth weight affect the overnight rectal temperature of infants. The rectal temperature, averaged over the period from three to five hours after the infants were put to bed, correlated well (R = 0.36) with the collected variables. An increase in the infant's age, birth weight, and the supine sleeping position all decreased the night time rectal temperatures. However, an increase in the night time room temperature, weight, and the combination of bottle feeding and parental smoking produced an increase in rectal temperature. The individual effects of bottle feeding and parental smoking were not significant. The results show that some of the major risk factors have the effect of raising the rectal temperature of sleeping infants.
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Affiliation(s)
- C S Tuffnell
- Department of Child Health and Pre-Clinical Sciences, University of Leicester
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Abstract
The heat loss coefficients of a group of infants have been calculated and compared to see if there is a difference in the ability to lose heat between prone and non-prone sleeping infants. For a group of 43 infants aged 4-29 weeks, a simple mathematical model of exponential cooling in a body has been fitted to the fall in rectal temperature which occurs in infants at bedtime. One of the parameters yielded by the fitting process is the coefficient of thermal heat loss. After validation against the estimated heat loss from supine sleeping infants, the heat loss coefficient was compared at different sleep positions and gender. The mean heat loss coefficient, measured from the non-prone sleeping infants (0.269 W/degrees C, S.D. 0.197) agreed well with the value calculated for supine sleepers with the same tog levels (0.4 W/degrees C). Prone sleeping infants were found to have a considerably smaller heat loss coefficient which was approximately 60% of the value for non-prone sleeping infants (P = 0.000097). Female infants were found to have a heat loss coefficient that was approximately 70% of that of male infants but this gender difference was only significant (P = 0.025) for non-prone sleeping infants. These results suggest that infants sleeping in the prone position may be unable to lose heat as rapidly as those infants sleeping non-prone.
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Affiliation(s)
- C S Tuffnell
- Department of Pre-Clinical Sciences, University of Leicester, UK
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Griggs SD, Tappin DM, Ford RP, Wailoo MP. Overnight oscillations of rectal temperature. Arch Dis Child 1995; 73:277. [PMID: 7492185 PMCID: PMC1511293 DOI: 10.1136/adc.73.3.277] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
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Burgner D, Kakakios A. Diagnosis of mycobacterial lymphadenopathy. Arch Dis Child 1995; 73:276-7. [PMID: 7492182 PMCID: PMC1511274 DOI: 10.1136/adc.73.3.276-c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
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