Clusterization, frustration and collectivity in random networks

We consider the random Erd{\H o}s--R\'enyi network with enhanced clusterization and Ising spins $s=\pm 1$ at the network nodes. Mutually linked spins interact with energy $J$. Magnetic properties of the system as dependent on the clustering coefficient $C$ are investigated with the Monte Carlo heat bath algorithm. For $J>0$ the Curie temperature $T_c$ increases from 3.9 to 5.5 when $C$ increases from almost zero to 0.18. These results deviate only slightly from the mean field theory. For $J<0$ the spin-glass phase appears below $T_{SG}$; this temperature decreases with $C$, on the contrary to the mean field calculations. The results are interpreted in terms of social systems.Comment: 10 pages, 6 figures; serious change of result

Clustering in random line graphs

We investigate the degree distribution $P(k)$ and the clustering coefficient $C$ of the line graphs constructed on the Erd\"os-R\'enyi networks, the exponential and the scale-free growing networks. We show that the character of the degree distribution in these graphs remains Poissonian, exponential and power law, respectively, i.e. the same as in the original networks. When the mean degree $$ increases, the obtained clustering coefficient $C$ tends to 0.50 for the transformed Erd\"os-R\'enyi networks, to 0.53 for the transformed exponential networks and to 0.61 for the transformed scale-free networks. These results are close to theoretical values, obtained with the model assumption that the degree-degree correlations in the initial networks are negligible.Comment: 9 pages, 4 figure

The prevalence of orodental trauma during epileptic seizures in terms of dental treatment – Survey study

Introduction Epilepsy is one of the most common neurological disorders. Seizures that occur during attacks may lead to head injuries. It is crucial to establish proper prophylactic management against trauma occurrence, as nowadays prevention is not sufficient. Aim Assessment of the frequency of head and intraoral trauma during epileptic seizures and to evaluate factors that may predispose to injuries. Material and Methods The questionnaire was carried out among 106 patients with epilepsy. Survey conducted questions regarding development of the disease and occurrence of orodental and head trauma. Results were statistically analyzed with the chi-square test (p&lt;0.05). Results 52.4% of subjects admitted the occurrence of oral trauma during epileptic seizures. The most common were lips, tongue or cheeks injuries. 18% patients suffered from tooth crack and 17% from tooth fracture. 50% of respondents suffered from head trauma during seizures: 41% patients reported bruises, 39% burns, 37% wounds, 10% nose fractures, 7% eye socket trauma and 3% skull crack. 14.1% of respondents experienced dentist refusal to undertake treatment, while 4% of patients had epileptic attack during dental procedures. Conclusions Dental trauma is common result of epileptic seizures. It is necessary to implement prophylactic management to prevent hard and soft tissues injuries, for example by using custom-made mouthguards. Moreover, specially designed dental programs for this group of patients should be provided

Affective State during Physiotherapy and Its Analysis Using Machine Learning Methods

Invasive or uncomfortable procedures especially during healthcare trigger emotions. Technological development of the equipment and systems for monitoring and recording psychophysiological functions enables continuous observation of changes to a situation responding to a situation. The presented study aimed to focus on the analysis of the individual’s affective state. The results reflect the excitation expressed by the subjects’ statements collected with psychological questionnaires. The research group consisted of 49 participants (22 women and 25 men). The measurement protocol included acquiring the electrodermal activity signal, cardiac signals, and accelerometric signals in three axes. Subjective measurements were acquired for affective state using the JAWS questionnaires, for cognitive skills the DST, and for verbal fluency the VFT. The physiological and psychological data were subjected to statistical analysis and then to a machine learning process using different features selection methods (JMI or PCA). The highest accuracy of the kNN classifier was achieved in combination with the JMI method (81.63%) concerning the division complying with the JAWS test results. The classification sensitivity and specificity were 85.71% and 71.43%

Wpływ frustracji na własności sieci Erdősa-Rényi z oddziaływaniem antyferromagnetycznym w modelu Isinga praca doktorska /

Praca doktorska. Akademia Górniczo-Hutnicza im. Stanisława Staszica (Kraków), 2011.Zawiera bibliogr.Dostępna także w wersji drukowanej.Tryb dostępu: Internet.Sieci przypadkowe, teoria, model Erdösa-Rényi, sieć Wattsa-Strogatza, grafy ze sterowanym stopniem klasteryzacji, sterowanie współczynnikiem klasteryzacji w modelu sieci Barabasi’ego-Alberta, BA, zwiększenie stopnia klasteryzacji w sieciach przypadkowych, sieci dekorowane spinami, ferromagnetyzm, model Isinga, model niezależnych par, łańcuch spinów, model jednowymiarowy, regularna siec Bethego, drzewo przypadkowe, antyferromagnetyzm, ciepło właściwe, podatność magnetyczna, szkło spinowe, parametr Edwardsa-Andersona, przekrywania, algorytmy numeryczne, metoda Monte Carlo, algorytm Metropolisa, kąpieli cieplnej, modelowanie sieci, symulacje własności magnetycznych sieci, algorytmy obliczeń, ciepło właściwe, sieć przypadkowa, wyniki numeryczne, budowa grafu, rozkład stopnia wierzchołka, spiny sprzężone ferromagnetycznie, badanie stanu równowagi, temperatura Curie, spiny sprzężone antyferromagnetycznie, podatność magnetyczna, porównanie wyników symulacji z teoretycznymi przewidywaniami temperatury przejścia fazowego, siec regularna, budowa, magnetyzm sieci regularnej, temperatura przejścia, teoretyczne przewidywania, sieć pseudoregularna, przestrzenna, rzeczywiste próbki magnetyczne, grafy linków, rozkład stopnia wierzchołka, klasteryzacja, asortatywność, magnetyzm sieci przetransformowane