Integrative Research Proiect for MAT115 Fall 1, 2021 On March 11, 2020, the 1WHO [World Health Organization] declared that COVlD19 was a global pandemic which has had an immense impact on all social, economical, political and STEM arenas. At that point, there were 113,000 confirmed reported cases in 110 countries. China had been the first country with a widespread outbreak in January 2020, and South Korea, Iran and Italy following in February 2020 with their own outbreaks [1]. As of April 5, 2021, the number of reported COVIDA1SI cases around the world has risen to approximately 132 million corresponding to a death toll of 2.3 million [2] The majority of viruses, which attack living cells to reproduce, are composed of genetic material [made of DNA or RNA] which is surrounded by a capsid [composed of proteins] and a lipid layer that protects the genetic material. For the SARSCOV2 virus which causes COVlD19 [CO = corona, 'v'I =virus, D= disease, 19 = discovered in 2019], the genetic material is made of 30,000 repeat RNA units where its proteins protect the RNA and act as spikes to attach itself to a host cell for growthfreplication. The spikes on COVIDlg bind to the outer surface of the host human cells in the heart, kidney, intestines and lungs. It is here where the RNA units of the virus begin to replicate itself and take over the host cell. One aspect to help in the fight against COVlDlg is that researchers have been devoting much effort with computational and empirical experiments to synthesize small molecule compounds that have the correct stereochemistry and size to inhibit SARSCov2 replication. To explore how the mathematical concepts of exponential growth and decay help to explain the spread and slowdown of the coronavirus. We have a simple example to help you understand it. Part 1: Exponential Growth and the Cerenavirus Pandemic Let us assume that transmission of coronavirus spread in the following way; One infected person spreads the coronavirus to two others, who then spread it to two others and so on. This tree diagram shows a potential coronavirus chain of transmission, which can help us model the number of new infections over time. can neip us mover wie number of new infections over time. Coronavirus Chain of Transmission To understand exponential growth, let's take a mathematical look at the tree diagram using the table below. Day (x) New infections (y) 1 2 N 4 4 UT 9 10' fill in the table with the number of new infections each day, based on the number of dots within these first if]I days. ' Describe what happens to the number of new infections over time. ' Graph the scatter point of the data. | Find the exponential function x}: 1:.be that model the problem. ' Use the modeled exponential function to predict the number of new infections after 312) days, after 912) days, then after one year. | Hospitals have limited capacity and bed space. Using the graph, discuss why it was so important in the early stages of the pandemic to follow social distancing guidelines. One way to test the quality of a mathematical model is to compare it to ayailable data. Below is a graphic of the world's coronayirus case count early in the pandemic [March 2421243], Daily New Confirmed Could-19 Cases [World] TQIIHJ WJIHJ 5mm \"JIM! N.\" 201E100 10.033 Daily New Continued timid-19 Cases o 5 m 15 a: 25 Days After March 1st. 202)