| Literature DB >> 35432772 |
Maurizio Giuseppe Abrignani1, Alberto Lombardo2, Annabella Braschi3, Nicolò Renda4, Vincenzo Abrignani5.
Abstract
Classical risk factors only partially account for variations in cardiovascular disease incidence; therefore, also other so far unknown features, among which meteorological factors, may influence heart diseases (mainly coronary heart diseases, but also heart failure, arrhythmias, aortic dissection and stroke) rates. The most studied phenomenon is ambient temperature. The relation between mortality, as well as cardiovascular diseases incidence, and temperature appears graphically as a ''U'' shape. Exposure to cold, heat and heat waves is associated with an increased risk of acute coronary syndromes. Other climatic variables, such as humidity, atmospheric pressure, sunlight hours, wind strength and direction and rain/snow precipitations have been hypothesized as related to fatal and non-fatal cardiovascular diseases incidence. Main limitation of these studies is the unavailability of data on individual exposure to weather parameters. Effects of weather may vary depending on other factors, such as population disease profile and age structure. Climatic stress may increase direct and indirect risks to human health via different, complex pathophysiological pathways and exogenous and endogenous mechanisms. These data have attracted growing interest because of the recent earth's climate change, with consequent increasing ambient temperatures and climatic fluctuations. This review evaluates the evidence base for cardiac health consequences of climate conditions, and it also explores potential further implications. ©The Author(s) 2022. Published by Baishideng Publishing Group Inc. All rights reserved.Entities:
Keywords: Angina pectoris; Cardiovascular diseases; Climate; Meteorology; Myocardial infarction; Weather
Year: 2022 PMID: 35432772 PMCID: PMC8968453 DOI: 10.4330/wjc.v14.i3.152
Source DB: PubMed Journal: World J Cardiol
Main studies on the relations between weather and general mortality
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| Chung | Fifteen cities in Northeast Asia | 1972-2010 | Cold effects had longer time lags (5–11 d) than heat effects, which were immediate (1–3 d). Both cold and heat effects were more significant for cardiorespiratory mortality than for other causes of death |
| Curriero | Eleven large eastern United States cities | 1973-1994 | Current and recent days' temperatures were the weather components most strongly predictive of mortality. Mortality risk generally decreased as temperature increased from the coldest days to a certain threshold temperature, which varied by latitude, above which mortality risk increased as temperature increased. Strong association of the temperature-mortality relation with latitude, with a greater effect of colder temperatures on mortality risk in more-southern cities and of warmer temperatures in more-northern cities |
| Fernández-Raga | Castile-Leòn, Spain | 1980-1988 | Temperatures with lower death risk for patients with cardiovascular diseases (16.8°C) are apparently lower than those for patients with respiratory diseases (18.1°C) |
| Achebak | 47 major cities in Spain | 1980-2015 | Reduction in relative risks of cause-specific and cause-sex mortality across the whole range of summer temperatures |
| Gemmel | Scotland, United Kingdom | 1981-1993 | A 1°C decrease in mean temperature was associated with a 1% increase in deaths 1 wk later |
| Guo | 400 communities from 18 countries/regions | 1984-2013 | Heat waves had significant cumulative associations with mortality but varied by community. The higher the temperature threshold used to define heat waves, the higher heat wave associations on mortality. The association between heat waves and mortality appeared acutely and lasted for 3 and 4 d. Heat waves had higher associations with mortality in moderate areas than in cold and hot areas |
| Gasparrini | 305 locations in 9 countries: Australia, Canada, China, Italy, Japan, South Korea, Spain, United Kingdom, and United States | 1985-2012 | Strong evidence of a reduction in risk over the season. Relative risks for the 99th percentile versus the minimum mortality temperature were in the range of 1.15–2.03 in early summer. In late summer, the excess was substantially reduced or abated, with relative risks in the range of 0.97–1.41 |
| Gasparrini | 384 locations in Australia, Brazil, Canada, China, Italy, Japan, South Korea, Spain, Sweden, Taiwan, Thailand, United Kingdom, and United States | 1985-2012 | 7.71% (95%CI: 7.43–7.91) of mortality was attributable to non-optimum temperature in the selected countries within the study period, with substantial differences between countries, ranging from 3.37% (3.06 to 3.63) in Thailand to 11.00% (9.29 to 12.47) in China. The temperature percentile of minimum mortality varied from roughly the 60th percentile in tropical areas to about the 80–90th percentile in temperate regions |
| Aylin | Great Britain | 1986-1996 | Significant association between mortality and temperature with 1.5 higher odds of dying for every 1°C reduction in winter temperature |
| The Eurowinter Group[ | Men and women aged 50–59 and 65–74 in north Finland, south Finland, Baden-Württemburg, the Netherlands, London, and north Italy | 1988-1992 | Percentage increases in all-cause mortality per 1°C fall in temperature below 18°C were greater in warmer regions than in colder regions. High indices of cold-related mortality were associated with high mean winter temperatures ( |
| Rocklöv | Stockholm, Sweden | 1990-2002 | A high rate of respiratory and cardiovascular mortality in winter reduced the heat effect the following summer. The cumulative effect per 1°C increase was 0.95% below and 0.89% above a threshold (21.3°C) after a winter with low cardiovascular and respiratory mortality, but -0.23% below and 0.21% above the threshold after a winter with high cardiovascular and respiratory mortality |
| Ragettli | Switzerland | 1995-2013 | Significant temperature-mortality relationships were found for maximal (1.15; 1.08–1.22); mean (1.16; 1.09–1.23), and minimal (1.23; 1.15–1.32) temperature. Mortality risks were higher at the beginning of the summer. Recent non-significant reduction in the effect of high temperatures on mortality |
| Chen | All deaths among residents in Ontario, Canada | 1996-2010 | In warm seasons, each 5°C increase in daily mean temperature was associated with a 2.5% increase in nonaccidental deaths (95%CI: 1.3%-3.8%) on the day of exposure (lag 0). In cold seasons, each 5°C decrease in daily temperature was associated with a 3.0% (95%CI: 1.8%-4.2%) increase in nonaccidental deaths, which persisted over 7 d. Cold-related effects were stronger for cardiovascular-related deaths (any cardiovascular death: 4.1%, 95%CI: 2.3%-5.9%; CHD: 5.8%, 95%CI: 3.6%-8.1%). Each 5°C change in daily temperature was estimated to induce 7 excess deaths per day in cold seasons and 4 excess deaths in warm seasons |
| Oudin Åström | Eastern Esthonia | 1997-2013 | Immediate increase in mortality associated with temperatures exceeding the 75th percentile of summer maximum temperatures, corresponding to approximately 23°C. This increase lasted for a couple of days |
| Bell | Mexico City, Mexico; Sao Paulo, Brazil; Santiago, Chile | 1998-2002 | Elevated temperatures (in particular same and previous day apparent temperature) are associated with mortality risk |
| Chan | Hong Kong, China | 1998-2006 | An average 18°C increase in daily mean temperature above 28.2°C was associated with a 1.8% increase in mortality. Non-cancer related causes such as cardiovascular and respiratory infection-related deaths were more sensitive to high temperature |
| Xu | Barcelona, Spain | 1999-2006 | The effect of three consecutive hot days was a 30% increase in all-cause mortality (RR = 1.30, 95%CI: 1.24-1.38) |
| Guo | Chiang Mai city, Thailand | 1999-2008 | Both hot and cold temperatures resulted in immediate increase in all mortality types and age groups. Generally, the hot effects on all mortality types and age groups were short-term, while the cold effects lasted longer. The relative risk of mortality associated with cold temperature (19.35°C, 1st centile) relative to 24.7°C (25th centile) was 1.29 (95%CI: 1.16, 1.44) for lags 0–21. The relative risk of mortality associated with high temperature (31.7°C, 99th centile) relative to 28°C (75th centile) was 1.11 (95%CI: 1.00, 1.24) for lags 0–21 |
| Oudin Åström | Population over 50 years in Rome, Italy, and Stockholm, Sweden | 2000-2008 | The percent increase in daily mortality during heat waves as compared to normal summer days was 22% (95%CI: 18%-26%) in Rome and 8% (95%CI: 3%-12%) in Stockholm |
| Zafeiratou | 42 Municipalities within the Greater Athens Area, Greece | 2000-2012 | Significant effects of daily temperature increase on all-cause, cardiovascular, and respiratory mortality ( |
| Fu | India | 2001–2013 | Mortality from all medical causes, stroke, and respiratory diseases showed excess risks at moderately cold temperature and hot temperature. Moderately cold temperature was estimated to have higher attributable risks [6.3% (95% empirical CI 1.1 to 11.1) for all medical deaths, 27.2% (11.4 to 40.2) for stroke, 9.7% (3.7 to 15.3) for IHD, and 6.5% (3.5 to 9.2) for respiratory diseases] than extremely cold, moderately hot, and extremely hot temperatures |
| Zeng | 15973 elderly residents of 866 counties and cities, China | 2002-2005 | Low seasonal temperatures increase the odds of mortality |
| Argaud | Lyon, France | 2003 | Independent contribution to mortality from heatstroke if patients used long-term antihypertensive medication (HR, 2.17; 95%CI: 1.17-4.05), or presented at admission with cardiovascular failure (HR, 2.43; 95%CI: 1.14-5.17) |
| Zhang | Wuhan, China | 2003-2006 | U-shaped relationship between temperature and mortality. Cold effect was delayed, whereas hot effect was acute, both of which lasted for several days. For cold effects over lag 0–21 d, a 1°C decrease in mean temperature below cold thresholds was associated with a 2.39% (95%CI: 1.71, 3.08) increase in non-accidental mortality, 3.65% (95%CI: 2.62, 4.69) increase in cardiovascular mortality, 3.87% (95%CI: 1.57, 6.22) increase in respiratory mortality, 3.13% (95%CI: 1.88, 4.38) increase in stroke mortality, and 21.57% (95%CI: 12.59, 31.26) increase in CHD mortality. For hot effects over lag 0–7 d, a 1 °C increase in mean temperature above the hot thresholds was associated with a 25.18% (95%CI: 18.74, 31.96) increase in non-accidental mortality, 34.10% (95%CI: 25.63, 43.16) increase in cardiovascular mortality, 24.27% (95%CI: 7.55, 43.59) increase in respiratory mortality, 59.1% (95%CI: 41.81, 78.5) increase in stroke mortality, and 17.00% (95%CI: 7.91, 26.87) increase in CHD mortality |
| Gómez-Acebo | Cantabria (northern Spain) | 2003-2006 | Raising maximum or minimum temperatures by 1ºC was associated with a 2% excess in mortality risk throughout the warm period. No effect in mortality on the cold season |
| Gómez-Acebo | Cantabria (northern Spain) | 2004-2005 | The higher OR for cancer mortality was seen on the first day of exposure (OR = 4.91; 95%CI: 1.65–13.07 in the whole population). Cardiovascular (OR = 2.63; 95%CI: 1.88–3.67) and respiratory mortality (OR = 2.72; 95%CI: 1.46–5.08) showed a weaker effect |
| Analitis | 9 European cities | 2004-2010 | In the warm season, the percentage increase in all deaths from natural causes per ◦C increase in ambient temperature tended to be greater during high ozone days. For the cold period, no evidence for synergy was found. |
| McMichael | Urban populations in Delhi, Monterrey, Mexico City, Chiang Mai, Bangkok, Salvador, Sao Paulo, Santiago, Cape Town, Ljubljana, Bucharest and Sofia. | 2007 | Most cities showed a U-shaped temperature-mortality relationship, with clear evidence of increasing death rates at colder temperatures and with increasing heat. Heat thresholds were generally higher in cities with warmer climates, while cold thresholds were unrelated to climate |
| Rabczenko | Warsaw, Poland | 2008-2013 | Analysis of dependence between temperature and mortality for whole population as well as for subpopulations with respect to sex and age demonstrated its similar U-shape. Comfort varied between 20 and 24°C, with slight tendency to be higher for woman |
| Can | Istanbul, Turkey | 2013-2017 | Three extreme heat waves in summer months of 2015, 2016, and 2017, which covered 14 days in total, significantly increased the mortality rate and caused 419 excess deaths in 23 d of exposure |
| Oray | Izmir province, Turkey | 2016 | During the study period, the mean number of ED visits and mortality rates were significantly higher than the previous year's same period [320 ± 30/d |
CHD: Coronary heart disease; CI: Confidence interval; OR: Odds ratio.
Main studies on the relations between weather and cardiovascular mortality
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| Gyllerup | Men aged 40–64 from 259 municipalities in Sweden | 1975-1984 | Coronary mortality is more strongly associated with cold climate than with other explanatory factors such as cholesterol, socioeconomic factors, or tobacco |
| Crawford | Deaths in Northern Ireland, United Kingdom | 1979-1998 | Low temperature is associated with highest mortality rates from myocardial infarction |
| Gerber | Olmsted County, Minnesota, United States | 1979-2002 | RR of sudden death, but not of myocardial infarction, was increased in low temperatures (1.20, 95%CI: 1.07-1.35, for temperatures below 0°C |
| Wichmann | Gothenburg, Sweden | 1985-2010 | No evidence of association between temperature and CHD deaths in the entire year, warm or cold periods |
| Enquselassie | Australian community-based register of heart disease (the WHO MONICA Project) | 1992 | Coronary deaths were more likely to occur on days of low temperature (and to a much lesser extent, of high temperature. Patterns of sudden and non-sudden deaths were not associated with weather conditions. Both longer-term seasonal effects and daily temperature effects exist |
| Dilaveris | AMI deaths in Athens, Greece | 2001 | The best predictor was the average temperature of the previous 7 d; the relation between daily myocardial infarction deaths and 7-d average temperature (R2 0.109, |
| Zhang | District of Wuhan, China | 2003-2010 | For cold effects over lag 0–21 d, a 1°C decrease in mean temperature below the cold thresholds was associated with a 3.65% (95%CI: 2.62, 4.69) increase in cardiovascular mortality and 21.57% (95%CI: 12.59, 31.26) increase in CHD mortality. For hot effects over lag 0–7 d, a 1°C increase in mean temperature above the hot thresholds was associated with a 34.10% (95%CI: 25.63, 43.16) increase in cardiovascular mortality and 17.00% (95%CI: 7.91, 26.87) increase in CHD mortality |
| Wang X et al[ | Beijing and Shanghai, China | 2007–2009 | The cold effects on cause-specific cardiovascular mortality reached the strongest at lag 0–27, while the hot effects reached the strongest at lag 0–14 |
| Yang J et al[ | Nine Chinese mega-cities | 2007–2013 | Statistically significant nonlinear associations between temperature and mortality were observed, with a total of 50658 deaths from myocardial infarction attributable to non-optimal temperatures |
| Yin Q, Wang J[ | Beijing, China | 2010-2012 | When extremely high temperatures occur continuously, at varying temperature thresholds and durations, adverse effects on CVD mortality vary significantly. The longer the heat wave lasts, the greater the mortality risk is. When the daily maximum temperature exceeded 35 °C from the fourth day onward, the RR attributed to consecutive days’ high temperature exposure saw an increase to about 10% ( |
AMI: Acute myocardial infarction; CHD: Coronary heart disease; CVD: Cardiovascular diseases; CI: Confidence Interval; OR: Odds ratio; RR: Relative risk.
Main studies on the relations between weather and hospital admissions
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| Ebi | Three Californian regions, United States | 1983-1998 | Association between temperature and hospitalizations varied by region, age, and gender |
| Michelozzi | Twelve European cities participating in the Assessment and Prevention of Acute Health Effects of Weather Conditions in Europe (PHEWE) project | 1990-2001 | For an 18°C increase in maximum apparent temperature above a threshold, respiratory admissions increased by 14.5% (95%CI: 1.9–7.3) and 13.1% (95%CI: 0.8–5.5) in Mediterranean and North-Continental cities, respectively. In contrast, the association between temperature and cardiovascular and cerebrovascular admissions tended to be negative and did not reach statistical significance |
| Vaneckova and Bambrick[ | Sidney, Australia | 1991-2009 | On hot days, hospital admissions increased for all major categories. This increase was not shared homogeneously across all diseases. Admissions due to some major categories increased one to three days after a hot day (e.g., respiratory and cardiovascular diseases) and on two and three consecutive days |
| Goldie | Darwin, Australia | 1993-2011 | Nighttime humidity was the most statistically significant predictor ( |
| Linares and Diaz[ | Daily emergency admissions between May and September in the Hospital General Universitario Gregorio Maranòn, Madrid, Spain | 1995-2000 | The temperature above which hospital admissions soar coincides with the temperature limit above which mortality sharply rises, which, in turn, coincides with 95th percentile of the maximum daily temperature series |
| Chan | Hong Kong, China | 1998-2009 | During summer, admissions increased by 4.5% for every increase of 1°C above 29°C; during winter, admissions increased by 1.4% for every decrease of 1°C within the 8.2–26.9 °C range. Admissions for respiratory and infectious diseases increased during extreme heat and cold, but cardiovascular disease admissions increased only during cold temperatures. During winter, for every decrease of 1°C within the 8.2–26.9 °C range, admissions for cardiovascular diseases rose by 2.1% |
| Yitshak-Sade | Respiratory, cardiac and stroke admissions of adults ≥ 65 (2015660), New England, United States | 2001-2011 | The short-term temperature effect was higher in months of higher temperature variability as well. For cardiac admissions, the PM2.5 effect was larger on colder days (0.56% versus −0.30%) and in months of higher temperature variability (0.99% |
| van Loenhout | the Netherlands | 2002-2007 | Positive relationship between increasing temperatures above 21 °C and the risk for urgent emergency room admissions for respiratory diseases. For admissions for circulatory diseases, there is only a small significant increase of risk within the 85+ age group for moderate heat, but not for extreme heat |
| Ponjoan | Catalonia, Spain | 2006-2016 | The overall incidence of cardiovascular hospitalizations significantly increased during cold spells (RR = 1.120; 95%CI: 1.10–1.30) and the effect was even stronger in the 7 d after the cold spell (RR = 1.29; 95%CI: 1.22–1.36). Conversely, cardiovascular hospitalizations did not increase during heatwaves |
| Shiue | Ten percent of daily hospital admissions across Germany | 2009-2011 | Admissions due to diseases of pericardium, nonrheumatic mitral and aortic valve disorders, cardiomyopathy, atrioventricular block, other conduction disorders, atrial fibrillation and flutter, and other cardiac arrhythmias peaked when physiologically equivalent temperature was between 0 and 10°C |
| Tian | 184 cities in China | 2014-2017 | a 1˚C increase in short-term temperature variability (calculated from the SD of daily minimum and maximum temperatures) at 0–1 days was associated with a 0.44% (0.32%–0.55%), 0.31% (0.20%–0.43%), 0.48% (0.01%–0.96%), 0.34% (0.01%–0.67%), and 0.82% (0.59%–1.05%) increase in hospital admissions for cardiovascular disease, ischemic heart disease, heart failure, heart rhythm disturbances, and ischemic stroke, respectively |
CHD: Coronary heart disease; CVD: Cardiovascular diseases; CI: Confidence interval; PM: Particulate matter; RR: Relative risk; SD: Standard deviation.
Main studies on the relations between weather and acute coronary syndromes
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| Mirić | Coastal part of middle Dalmatia (Croatia) | 1981-1987 | Significant association of acute myocardial infarction incidence with increased air temperature four days before, and on the day of the incident ( |
| Danet | Morbidity registry (Lille-WHO MONICA Project) monitoring 257000 men Aged 25-64 years. | 1985-1994 | The events rate decreased linearly with increasing atmospheric temperature: a 10°C decrease was associated with a 13% increase in event rates |
| Wichmann | AMI hospitalisationsin Gothenburg, Sweden | 1985-2010 | A linear exposure-response corresponding to a 3% and 7% decrease in AMI hospitalisations was observed for an inter-quartile range increase in the 2-d cumulative average of temperature during the entire year and the warm period, respectively |
| Abrignani | Hospital admissions for acute myocardial infarction in Trapani, Italy | 1987-1998 | Significant association as regards the incidence relative ratio between daily number of myocardial infarction hospital admission and minimal daily temperature |
| Abrignani | Hospital admissions for angina pectoris in Trapani, Italy | 1987-1998 | Significant association between daily number of angina hospital admission and temperature. Significant incidence relative ratios (95%CI) were, in males, 0.988 (0.980–0.996) ( |
| Marchant | 633 consecutive patients with myocardial infarction admitted to a coronary care unit in London, United Kingdom | 1988-1991 | Excess of infarctions on colder days in both winter and summer |
| Bayentin | Quebec, Canada | 1989-2006 | Cold temperatures during winter and hot episodes during summer are associated with an increase of up to 12% in the daily hospital admission rate for CHD. In most regions, exposure to a continuous period of cold or hot temperature was more harmful than just one isolated day of extreme weather |
| Wolf | Myocardial infarctions and coronary deaths in the Monitoring Trends and Determinants on Cardiovascular Diseases/Cooperative Health Research in Augsburg (MONICA/KORA) Registry, Germany | 1995-2004 | A 10°C decrease in 5-d average temperature was associated with a relative risk of 1.10 (95%CI: 1.04-1.15). Effect of temperature on the occurrence of nonfatal events showed a delayed pattern, whereas the association with fatal forms was more immediate |
| Madrigano | Patients with a possible discharge diagnosis of AMI in 11 acute care general hospitals serving residents of the Worcester metropolitan area (Worcester Heart Attack Study), United Kingdom | 1995, 1997, 1999, 2001, 2003 | A decrease in an interquartile range in apparent temperature was associated with an increased risk of acute myocardial infarction on the same day [HR = 1.15 (95%CI: 1.01–1.31)]. Extreme cold during the 2 d prior was associated with an increased risk of acute myocardial infarction [1.36 (1.07–1.74)]. Exposure to heat increased the risk of dying after an AMI |
| Mohammad | All myocardial infarctions reported to the Swedish Web-System for Enhancement and Development of Evidence-Based Care in Heart Disease Evaluated According to Recommended Therapies (SWEDEHEART) | 1998-2013 | The most pronounced association was observed for air temperature, where a 1-SD increase (7.4°C) was associated with a 2.8% reduction in risk of myocardial infarction (incidence ratio, 0.972; 95%CI: 0.967-0.977; |
| Messner | Subarctic area of Northern Sweden | 2001 | A 1°C temperature rise was associated with an 1.5% increase in the number of nonfatal acute myocardial infarctions |
| Chang | Myocardial infarctions among women aged 15–49 from 17 different countries in Africa, Asia, Europe, Latin America, and the Caribbean | 2003 | Overall, a 5°C drop in temperature was associated with a 12% increase in admissions for heart attack (incidence rate ratio 0.88 (95%CI: 0.8-0.97) |
| Misailidou | Five rural Greek regions (Karditsa, Lamia, Chalkida, Kalamata and Zakinthos) | 2003-2004 | For an 18°C decrease in temperature there was a 1.6% (95%CI: 0.9%–2.2%) increase in admissions for CHD |
| Bhaskaran | 84010 hospital admissions for myocardial infarction in the Myocardial Ischaemia National Audit Project (15 conurbations in England and Wales, United Kingdom) | 2003-2006 | Broadly linear relation between temperature and myocardial infarction, without a threshold: each 1°C reduction in daily mean temperature was associated with a 2.0% (95%CI: 1.1%-2.9%) cumulative increase in risk of myocardial infarction over the current and following 28 d, the strongest effects being estimated at intermediate lags of 2-7 and 8-14 d. Heat had no detrimental effect |
| Nastos | Crete, Greece | 2004-2007 | The impact of weather variability on the ACS incidence is not statistically significant |
| Ravljen | ACS treated with coronary emergency catheter interventions in Slovenia | 2008-2011 | Daily average temperature, atmospheric pressure and relative humidity all have relevant and significant influences on ACS incidences for the entire population. However, the ACS incidence for population over 65 is only affected by daily average temperature |
| Hori | Japan | 2010 | Every 1°C decrease in mean temperature was associated with an increase in the daily number of emergency admissions for ACS by 7.83% (95%CI: 2.06-13.25) |
| García-Lledó | Madrid, Spain | 2013-2017 | The minimum incidence rate of myocardial infarction was observed at the maximum temperature of 18°C. Warmer temperatures were not associated with a higher incidence (RR, 1.03; 95%CI: 0.76-1.41), whereas colder temperatures were significantly associated with an increased risk (IRR, 1.25; 95%CI: 1.02-1.54) |
| Lin | Hospitalizations for CHD in New York State, United States | 2015 | Extremely low universal apparent temperature in winter was associated with increased risk of AMI, especially during lag4-lag6 |
| Sharif Nia | Hospital admission for AMI in Mazandaran Province, Iran | 2015-2016 | Daily minimum temperature correlated with ACS events [RR = 0.942 (95%CI: 0.927-0.958), |
ACS: Acute coronary syndromes; AMI: Acute myocardial infarction; CHD: Coronary heart disease; CI: Confidence interval; RR: Relative risk; SD: Standard deviation.