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Libro de Resúmenes / Book of Abstracts (Español/English)

Libro de Resúmenes / Book of Abstracts (Español/English)

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Resumenes 102<br />

trees are contagious if one <strong>of</strong> them is sick, which can be <strong>de</strong>termined by the<br />

existing distance between the branches <strong>of</strong> the trees. A connected couple are<br />

two immediate trees which mutual contagion is inevitable. 3) A function<br />

exists x(a) that <strong>de</strong>fines the probability <strong>of</strong> which two immediate trees chosen<br />

at random form a connected couple. This one <strong>de</strong>pends basically on the<br />

distance, which implies that on having diminished a, the probability <strong>of</strong><br />

contagion increases. In the language <strong>of</strong> the clusters, this can be seen this<br />

way: if two trees form a connected couple, a wire will represent a union<br />

among them, but if being immediate they do not form connected couple, a<br />

cutting wire will show among them.<br />

A mo<strong>de</strong>l <strong>of</strong> the evolution pre-biological is proposed that explains the<br />

evolutionary processes in the alive beings, and, while greater is the number<br />

<strong>of</strong> critical states or <strong>of</strong> changes <strong>of</strong> phase states <strong>of</strong> a biological process, better<br />

will be the prediction that can be done using the percolation theory, which<br />

can be used for to optimize states futures <strong>of</strong> the alive being, and this has<br />

wi<strong>de</strong> applications in bio-technology.<br />

To simulate these situations, two experiments were realized:<br />

In the first one, there is used a grid that has two electro<strong>de</strong>s wel<strong>de</strong>d to<br />

your si<strong>de</strong>s. This assembly is connected to an electrical circuit. One starts<br />

blocking every no<strong>de</strong> cutting the four wires that connect it, there is done a<br />

study <strong>of</strong> the electrical resistance in conformity with the quantity <strong>of</strong> blocked<br />

no<strong>de</strong>s. The no<strong>de</strong> that it must be submitted to blocka<strong>de</strong> is chosen in random<br />

form. For it there are used random numbers obtained with the Montecarlo<br />

Method for to <strong>de</strong>termine the coordinates <strong>of</strong> all the no<strong>de</strong>s and then by means<br />

<strong>of</strong> a selection there is chosen the no<strong>de</strong> that must be blocked. Also a<br />

computational program <strong>of</strong> simulation has been implemented using LabView.<br />

In the second experiment, there was realized an montage that<br />

consists <strong>of</strong> a group <strong>of</strong> thousand conductive spheres and thousand dielectrics<br />

spheres, and the spheres were located in a container in a random form and<br />

when they were <strong>de</strong>posited the percolation threshold is measuring, that is to<br />

say, the minimal point where it is possible to establish a way <strong>of</strong> conduction<br />

in a random form. The percolation threshold is equal to the number <strong>of</strong><br />

conductive spheres divi<strong>de</strong>d among the total number <strong>of</strong> spheres. When a<br />

greater number <strong>of</strong> spheres were taken, the percolation threshold obtained<br />

was more near <strong>of</strong> the theoretical value. According to the mo<strong>de</strong>l <strong>of</strong> auto<br />

organization <strong>of</strong> the macromolecules, this one is possible if the molecular<br />

system a-biogenic possesses metabolism, auto-reproduction and mutability.<br />

The metabolism means that the system is opened and that in it the<br />

polymerization and <strong>de</strong>composition <strong>of</strong> the polymers occurs. Since the system<br />

is far from the equilibrium, these two processes are not tied by the<br />

condition <strong>of</strong> the microscopic reversibility. For the maintenance <strong>of</strong> the<br />

metabolism is necessary the abundance <strong>of</strong> substances, which possesses an<br />

excess <strong>of</strong> free energy. The auto-reproduction (copies matricial <strong>of</strong> the<br />

polymer) is an autocatalytic process, which the auto-organization assures.<br />

The mutagenesis is necessary for the creation <strong>of</strong> the new information. In<br />

this experiment, there was taken in account that the principal difference<br />

between a biological process and an inert process is the level <strong>of</strong> fluctuations<br />

or instabilities, due to the fact that on having increased the concentration <strong>of</strong><br />

these there is modified the future behavior <strong>of</strong> the alive being (evolution).

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