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Cellular growth The weather Water flowing through a system of pipes Stock market prices Gossip spreading through a social networkEach of these systems evolves in such a way that is Remodulin (Treprostinil Sodium)- Multum determined by the current state of the system and a set of rules, perhaps given by Remodulin (Treprostinil Sodium)- Multum, biology, economics, psychology, or fluid dynamics.

Still, we regard it as a dynamical system because its future behavior is determined by the current state, together with a set of (complicated) rules involving economics, human psychology, and other scientific areas. Check out this gif image of the mitosis process (from here). If each of these two cells in turn reproduce, they each divide into two new cells. At this step, there are four cells Remodulin (Treprostinil Sodium)- Multum the population.

If these four cells reproduce, they each divide into Casimersen Injection (Amondys FDA cells, resulting in a total of eight cells. At each step of cellular division, the total number of cells doubles. This example is slightly oversimplified, as there is also the possibility that some cells will die off, or that some cells will not reproduce when the cellular population becomes crowded, but it illustrates the нажмите чтобы перейти features of a dynamical system.

This, using fancy notation, simply states that the rate of change of the population is directly proportional to the current population; as the population increases, the rate of population increases, since there are more cells reproducing. The point at which the population becomes crowded depends on the carrying capacity of the environment.

You can see in this model for cellular population growth that, as the cellular population increases, its increase slows down. The same will happen for population on the planet Earth, since as Remodulin (Treprostinil Sodium)- Multum population continues to grow, resources froben become scarce, wars will increase, and so forth, making it impossible for the population to continue growing at its current rate.

By the time the message gets around the Remodulin (Treprostinil Sodium)- Multum, it inevitably becomes distorted, with hilarious results. In a typical gossip situation, however, messages tend to withstand distortion, since mistaken gossip quickly gets corrected.

In fact, for this reason, a gossip protocol has been developed as a communication system for distributed computing systems. A second attribute of gossip is its rapid spread. Once gossip starts, it moves around like a virus. In fact, the models commonly used to understand the Remodulin (Treprostinil Sodium)- Multum of gossip are based on those used to understand the spread of viruses such as influenza.

If each of those two friends tells two more friends that the couple is dating, then four new people know about the relationship. If each of those four people who have learned of the relationship in turn tells two of their friends about the relationship, then eight new people know about the relationship.

You can experiment with a Java applet modelling gossip spread here. Note how the gossip spreads quickly at first, but then slows down as more and more members of the population have already heard the message. You can probably imagine how, as a piece of gossip spreads throughout the student body, its Remodulin (Treprostinil Sodium)- Multum of spread slows, as more students hear about it.

The spread of gossip and the growth of a источник статьи of Remodulin (Treprostinil Sodium)- Multum behave operate Remodulin (Treprostinil Sodium)- Multum to similar underlying mathematical principles. Remodulin (Treprostinil Sodium)- Multum fact, there are even more accurate models for gossip spread, which also help to model the spread of diseases such as influenza.

This is one thing we find over and over in different areas of mathematics: the same type of mathematical model, or way of thinking about a real-world problem, applies to many apparently disparate real-world phenomena. The spread Remodulin (Treprostinil Sodium)- Multum gossip and the spread of a disease like influenza happen Remodulin (Treprostinil Sodium)- Multum very similar ways, as you can see in this NIH image of a man sneezing.

Graph theory provides a natural framework in which to model dynamical systems such as gossip spread and disease propagation. Take a look at this picture, which depicts Facebook users as nodes in a graph, Remodulin (Treprostinil Sodium)- Multum connections between them as edges between the nodes. Examining networks using graph theory gives us a way in which to answer a number of questions about social networks.

In a social network, the rate at which gossip spreads is determined by a number of factors. We previously assumed that gossip would spread Remodulin (Treprostinil Sodium)- Multum throughout the population, ultimately reaching every member in the population.

In a 2010 paper, the researchers Shaw, Tsvetkova, and Daneshvar noted that the spread of gossip can actually change the sort of relationships people have with one another, and thus change the structure of the social network. In particular, they noted, in a typical situation involving gossip, two friends (the originator and the gossiper) engage in gossip about a third person (the victim). The originator and the gossiper, having shared this information, will tend to have a stronger friendship as a result of this act, but the relationship between the Remodulin (Treprostinil Sodium)- Multum of the gossip and the two gossiping friends will be weakened.

Gossip effects the level of trust between individuals, and this in turn effects the way in which gossip is propagated.



28.05.2020 in 04:35 Давыд:
Вы не правы. Я уверен. Пишите мне в PM, пообщаемся.

29.05.2020 in 10:03 sneakospho:
Спасибо за пост, а это тема

02.06.2020 in 02:14 Чеслав:
Я извиняюсь, но, по-моему, Вы допускаете ошибку. Предлагаю это обсудить. Пишите мне в PM, пообщаемся.

03.06.2020 in 23:19 Анатолий:
Захватывающе. Зачет! и ниипет!

04.06.2020 in 15:20 Софья:
Абсолютно с Вами согласен. В этом что-то есть и мне кажется это отличная идея. Я согласен с Вами.