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A motivational talk promoting the ideas on how mathematics and physics may be applied in the modern world

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  1. 1. Mathematics & Physics in the Real World<br />David Quesada, Ph.D.<br />School of Science, Technology and Engineering<br />Management, St. Thomas University.<br />
  2. 2. Graduated from Moscow State University, M.V. Lomonosov, Russia 1990 <br />M.S. in Physics and Mathematics – Suma Cum Laude – School of Physics<br />
  3. 3. CINVESTAV, Mexico DF<br />Graduated from Universidad de La Habana, Cuba 2000, Ph.D. in <br />Physics, Best young scholar research of the year 2000 – School <br />of Physics<br />Dr. Carlos Trallero-Giner<br />Dr. Rafael Baquero<br />
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  6. 6. What is Mathematics after all?<br />The word mathematics is derived from the Greek word Mathematikos, which means “inclined to learn”. Thus, literally speaking, to be mathematical is to be curious, open-minded, and interested in always learning more !! Do you consider yourself to be either “ math phobic” (fear of mathematics) of “ math loathing” (dislike math )? <br />Many adults harbor fear or loathing of mathematics and, unfortunately, these attitudes are often reinforced by classes that present mathematics as an obscure and sterile subject .<br />Some common misconceptions about <br />Mathematics<br />Mathematics also may be viewed as a tool for<br />creating models, or representations that allow<br />us to study real phenomena<br />1.Learning mathematics requires special and rare abilities. <br />2. Math in modern issues is too complex.<br />3. Math makes you less sensitive, and is irrelevant to my life<br />4. Math makes no allowance for creativity.<br />5. Math provides exact answers.<br />Economics <br />Business Management <br />Financial Analyst<br />Psychology and Sociology <br />Strategic Management and Politics<br />Bioinformatics <br /> Applied Mathematics<br />Biology and Ecology <br />Actuarial Mathematics – Risk & Insurance<br />Medicine and Physiology <br />Atmospheric Physics or Meteorology<br />Physics and Chemistry <br />Engineering <br />Computer science and<br />Artificial Intelligence <br />
  7. 7. What is Quantitative Literacy?<br />Literacy is the ability to read and write, and it comes in varying degrees. Some people can recognize only a few words and write only their names; others read and write in many languages. Today, the abilities to interpret and reason with quantitative information - information that involves mathematical ideas or numbers – are crucial aspects of this literacy. This so called quantitative literacy is essential to understanding modern issues that appear in the news everyday. The process of interpreting and reasoning with quantitative information is called quantitative reasoning.<br />Adapted from Education: The knowledge gap, supplement to The Wall Street Journal, February 9,1990 <br />
  8. 8. Adapted from Education: The knowledge gap, supplement to The Wall Street Journal, February 9,1990 <br />
  9. 9. Mathematics and Art<br />
  10. 10. Mathematics and Business<br />
  11. 11. Mathematics<br /> and<br /> Decision - Making<br />
  12. 12. Theory of Graphs & Networks<br />
  13. 13. Mathematics<br />and Cryptology<br />
  14. 14. Artificial Intelligence<br />
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  16. 16. Rocketry’s Club: The path from School to NASA<br />
  17. 17. Mathematics and Atmospheric Sciences<br />
  18. 18. Most of the Hurricanes follow a parabolic path that can be a motivation for Algebra<br />
  19. 19. Project 1.3: Hurricane’s Science<br />
  20. 20. The WeatherBug Network is the largest weather network in the world. More than 8000 schools across the U.S. operate WeatherBug Tracking Stations, including Saint Thomas University, to integrate live, local weather data and technology into classroom learning. This is accomplished through WeatherBug Achieve, an online teaching tool that automatically embeds live weather readings and images from any source on the WeatherBug Network into lessons.<br />
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  22. 22. Data collected by the weather tracking station in campus. It is interesting to notice; how many parameters may be correlated at once by looking at these graphics.<br />Hail storm took place on May 26, 2005 in the area of Miami Gardens and Opa-Locka. Hails of size an inch and a half were collected that day.<br />
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  24. 24. Visits to the National Hurricane Center <br />
  25. 25. Ongoing research project # 1.1: Climate and Weather Variability<br />Slopes, Trigonometric Functions, Average Values, and Global Warming<br />Range of variation<br />Cloudiness and Random Fluctuations in the weather are responsible for theseirregularities<br />It is worth to notice the periodicity (24 hrs) of these peaks; however it<br />is clear the irregular shape of all these peaks too – Why?<br />
  26. 26. Ongoing research project # 1: Climate and Weather Variability<br />Periodic Patterns in Nature and its Graphical Representation<br />Time Series Analysis<br />Daily variations – Days and Nights <br />Period = T = 24 hr<br />Daily, monthly, and yearly variations - three periods T1= 24 hr, T2= 90 days, T3= 365 days<br />Maximum <br />Mean or Average<br />Minimum<br />Range<br />More complicated behaviors are indicators of <br />hidden dynamical processes to be studied<br />
  27. 27. How far weather variability influences seasonal asthma episodes: Three years of correlations in Miami Dade, Florida<br />David Quesada<br />School of Science, Technology and Engineering Management,<br />St. Thomas University, Miami Gardens FL 33054<br />Climatic and environmental changes occurring since the middle of the Twentieth Century as well as the aggravating pollution levels in megacities are exacerbating asthma episodes and the number of hospitalizations due to this disease. Since 1999, in Miami Dade County the hospitalization rates were doubling the Healthy People 2010 objectives in every age group. A comprehensive weather database including outdoor temperature (T), humidity (H), barometric pressure (P), wind direction (θw) and speed (vw) as well as the values of maximum and minimum and the range of all these variables has been created. As a result, a seasonal pattern emerged, with a maximum appearing around the middle of December and a minimum around the middle of March every year for the three years of analysis. <br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  28. 28. Why to study Asthma? How far Bio-Meteorology may help with?<br />Asthma Statistics Worldwide<br />Number of people diagnosed: more than 150 M<br />Europe: the # of cases has doubled<br />USA: the number of cases has increased more <br />than 60%<br />India: between 15 and 20 M<br />Africa: between 11 and 18% population<br />Number of deaths yearly: around 180,000<br />Miami Dade County, Florida<br />7.1% Middle and HS children were reported with <br />asthma<br />The number of hospitalizations due to asthma <br />has doubled.<br />The number 1 cause of school absences and 35 % <br />of parents missed work<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  29. 29. Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  30. 30. Seasonal Variations in Asthma Hospital Admissions in the United States<br /><ul><li>Asthma seasonal variations confirmed
  31. 31. Larger seasonal variation associated with a decrease in age. </li></ul>AichatouHassane, UNH; Robert Woodward, PhD, UNH; Ross Gittell, PhD, UNH - May 27, 2004<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  32. 32. Miami Dade Asthma Snapshot<br />Areas of major incidence<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  33. 33. Zip codes patients came from<br /> WeatherBug Mesonet stations<br /> NWS stations, MIA & Tamiami<br />
  34. 34. Seasonal Variations of Asthma diagnosed cases by the <br />Kendall Medical Group in Miami Dade, FL<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  35. 35. Seasonal Variations of Asthma diagnosed cases <br />in standard units Z = (N – Nave)/S<br />by the Kendall Medical Group in Miami Dade, FL<br />
  36. 36. Tmax<br />Tmin<br />Tmean=(Tmax+Tmin)/2<br />
  37. 37. ΔT=Tmax-Tmin<br />ΔT/Tmean<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  38. 38. Pmean<br />Pmax<br />Pmin<br />dPmean/dt<br />
  39. 39. Hmax<br />Hmin<br />Hmean<br />dHmean/dt = H[i+1] - H[i]<br />
  40. 40. Correlations between the number of cases and the given set of variables <br />(IBM-SPSS-19)<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  41. 41. Factors affecting respiratory gas exchange<br />Concentration Gradient == CG<br />Temperature == T<br />Surface Area == S<br />Molecular size == MS<br />Distance == d<br />Diffusion Rate == D<br />D = [CG x T x S] / [MS x d]<br />Ventilation – Perfusion ratio == V/Q<br />V/Q < 1 hypoventilation<br />Florida Academy of Sciences, 75th Anniversary Meeting, FIT - Melbourne FL March 2011<br />
  42. 42. <ul><li>Mathematical modeling of the episode of </li></ul>Asthma by using dynamical system theory<br />Systems Theory and System Biology<br />Macroscopic<br />Dynamics of<br />breathing<br />Mesoscopic<br />Immune <br />cells population<br />dynamics<br />Microscopic<br />Genes<br />Cooperative effect – Emergent properties<br />
  43. 43. Macroscopic Mechanical <br /> Description of Breathing<br />Bronchial Hyper-responsiveness: <br />Excessive constriction of smooth muscle that surrounds bronchi and bronchioles, resulting in narrowed airway passage and airflow limitation.<br />Mathematical expressions appealing to basic laws <br />of aerodynamics describe the basics of breathing <br />and disorders within the lung functioning.<br />Atopy: A genetically determined state of hypersensitivity to environmental allergens that is detected by increased serum immunoglobulin E and/or positive dermal allergen tests<br />
  44. 44. Mesoscopic immune description of an asthma episode<br />A system of differential equations describes the population dynamics of each one of the cells involved in an asthma episode.<br />In asthmatic individuals, antigen presentation is thought to results in the polarization of T-cells towards a Th2 patterns whereas T cells from non atopic, non-asthmatic individuals show the opposing Th1 (interferon-γ and IL2) pattern of cytokine secretion<br />A very complicated Network of cells (IL4, IL3, IL5, IL13- Cytokines, IgE – Immunoglobuline)Interacting and Competing.<br />
  45. 45. Microscopicgenetic analysis of asthma incidence<br /> Bio-informatics of Asthma<br />The multigenic nature of asthma has greatly hampered efforts to identify the specific genes involved. Genetic heterogeneity across populations, variability in disease expression, phenocopies and uncontrolled environmental influences confound the analysis of asthma and other complex genetic disorders.<br />
  46. 46. 90th Annual Meeting of AMS, Atlanta 2010<br />