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State Complexity of Union and Intersection for Two-Way Nondeterministic Finite Automata

100%

Kunc M. , Okhotin A.

2011

tom Vol. 110, nr 1-4

231-239

The number of states in a two-way nondeterministic finite automaton (2NFA) needed to represent the intersection of languages given by an m-state 2NFA and an n-state 2NFA is shown to be at least m + n and at most m + n + 1. For the union operation, the number of states is exactly m + n. The lower bound is established for languages over a one-letter alphabet. The key point of the argument is the following number-theoretic lemma: for all m, n > 2 with m, n 6≈6 (and with finitely many other exceptions), there exist partitionsm = p1+. . .+pk and n = q1+. . .+ql, where all numbers p1, . . . , pk, q1, . . . , ql > 2 are powers of pairwise distinct primes. For completeness, an analogous statement about partitions of any two numbers m, n∉ {4, 6} (with a fewmore exceptions) into sums of pairwise distinct primes is established as well. Keywords: Finite automata, two-way automata, state complexity, partitions into sums of primes.

Analysis of tremor in motor learning task

80%

Walecki P. , Lasoń W. , Kunc M. , Gorzelańczyk E. J.

Bio-Algorithms and Med-Systems

2013

tom Vol. 9, no. 1

45--52

Hand-eye coordination is required in many skilled tasks. Individual differences affect the performance of people at work and leisure, for example, during assembly jobs or sports. The aim of this study was to determine whether motor learning can change the physiological action of hand tremor. Tremor is a repetitive and stereotyped movement, with regular frequency and amplitude, but there are different types of tremors with pattern variation. The results were calculated by participants’ time-on and time-off the target, the average distance from the center of the target, and the frequency of oscillatory movement of a cursor (tremor). The results of this study indicate a statistically significant (p<0.05) influence of effect of task repetition on improvement of motor control and reduction of a high-amplitude tremor and an increase of a low-amplitude tremor. The assessed individuals achieved more than 50% better outcomes of a hand-eye coordination task in the final trials when compared with the initial trials. The dynamics of motor learning tend to rise, with a steady level of a 1-h interval between trials.

Microbiome impact on metabolism and function of sex, thyroid, growth and parathyroid hormones

80%

Kunc M. , Gabrych A. , Witkowski J. M.

Acta Biochimica Polonica

2016

tom 63

nr 2

Computer-based system to capture, collect, process and analyze data in psychomotor tests

70%

Faron P. , Lasoń W. , Walecki P. , Kunc M. , Gorzelańczyk E. J.

Bio-Algorithms and Med-Systems

2013

tom Vol. 9, no. 3

147--154

The article explains the principles and goals in creating a computer-based system for the measurement of psychomotor functioning, its functionality, and user interface. To illustrate the capabilities of the system, the results of analysis of the selected psychomotor tests performed in different groups of patients are presented. The usefulness of the presented tool in the quantitative study of psychomotor functioning is assessed.

Early effect of thalamotomy on cognitive function in patients with Parkinson’s disease

70%

Gorzelańczyk E. J. , Ackermann-Szulgit D. , Kunc M. , Harat M. , Walecki P.

Bio-Algorithms and Med-Systems

2018

tom Vol. 14, no. 1

art. no. 20180005

Thalamotomy is a neurosurgical procedure used in the treatment of advanced Parkinson’s disease (PD). The aim of our research is to evaluate the early impact of a lesion in the ventrointermedial nucleus (VIM) of the thalamus on cognitive and motor function in people with PD. Sixty patients who qualified for right- or leftsided VIM thalamotomy were involved in the study. The cognitive and motor functions of each patient were assessed both prior to and following the surgical procedure. Twenty-nine PD patients without ablative treatment were qualified for the comparison group, and 57 neurologically healthy individuals were assigned to the control group. The following tests were carried out: Mini Mental State Examination, Benton Visual Retention Test, Stroop Color and Word Test, Trail Making Test A&B, and Rey Auditory Verbal Learning Test. Statistically significant differences were found in reaction time, visual-spatial working memory, auditory-verbal memory, and overall level of cognitive function when comparing the results of tests carried out before and after thalamotomy and when comparing patients who had undergone surgery with untreated or healthy individuals. In patients with right-sided and left-sided thalamotomy differences were also found in the mean number of perseverative errors and recalled words.