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An improvement of the Waliszewski and Konarski approach ([2002] Synapse 43:252-258) to determine the temporal fractal dimension b(t) and scaling factor a(t) for the process of neuronal differentiation and synapse formation in the fractal space-time is presented. In particular the analytical formulae describing the time-dependence of b(t)(t) and a(t)(t),… (More)

We report that both space and time, in which a system of interacting cells exists, possess fractal structure. Each single cell of the system can restore the hierarchical organization and dynamic features of the entire tumor. There is a relationship between dynamics of gene expression and connectivity (i.e., interconnectedness which denotes the existence of… (More)

Quantum-chemical computations were used to investigate the structure-antioxidant parameter relationships of α-lipoic acid and its natural metabolites bisnorlipoic acid and tetranorlipoic acid in their oxidized and reduced forms. The enantiomers of lipoic and dihydrolipoic acid were optimized using the B3LYP/6-311+G(3df,2p), B3LYP/aug-cc-pVDZ and… (More)

An extension of the Stevens' power law, widely used in psychophysics to relate a physical magnitude of a stimulus (e.g. taste, luminance, weight, sound pressure) with the corresponding experienced magnitude (saltiness, brightness, heaviness, loudness etc.) has been proposed. It takes into account the fact that psychophysical functions are basically of a… (More)

The Matsuno model of the muscle contraction is considered in the framework of the two-wave Corben's theory of composite objects built up of both time- and space-like components. It has been proved that during muscle contraction the locally coherent aggregates distributed along the actin filament interact by means of space-like fields, which are solutions of… (More)

An analytical approach to determination of time-dependent temporal fractal dimension b(t)(t) and scaling factor a(t)(t) for the Gompertzian growth in the fractal space-time is presented. The derived formulae take into account the proper boundary conditions and permit a calculation of the mean values b(t)(t) and a(t)(t) at any period of time. The formulae… (More)

- Marcin Molski
- 2016

The models relating the intensity of perception to the stimulus are of great importance in sensorial analysis and practical applications. For example, in olfactometry they have been employed to determine: the odour threshold and suprathreshold, hedonic scale assessment and the degree of appreciation. The perceived intensity of a stimuli should be expressed… (More)

- Marcin Molski
- 2015

The West-Brown-Enquist universal growth curve has been mapped on the power law function with the time-dependent scaling factor and exponent representing the temporal fractal dimension of the growth of species like mammals, birds, fish, crustaceans, regardless of taxon, cellular metabolic rate and body size. The results obtained permit formulation of three… (More)

- Marcelo A. Savi, Katerina Tsakalaki, Manolis A. Christodoulou, Georgios P. Pavlos, Igor N. Sinitsyn, Marcin Molski +5 others
- 2012

Chaotic behaviour induced by modulated illumination in the Lengyel-Epstein model under Turing considerations (pp 45-51) Detection of jet axis in a horizontal turbulent jet via nonlinear analysis of minimum/maximum temperature time series (pp 205-217)

- Marcin Molski
- 2011

Notion quasi-quantum refers to possibility of application of the quantum formalism in investigation of macroscopic systems. It is complementary to the semi-classical approach to quantum systems within the classical (e.g. Wentzel– Kramers–Brillouin) scheme as presented on the diagram below Makro Mikro semi classical quasi quantum − − ⎯⎯⎯⎯⎯ → ←⎯⎯⎯⎯ ⎯ The… (More)