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Papers by Mariusz Pietruszka

Research paper thumbnail of Erratum to: Application of the effective formula of growth functional to quantitative description of growth of plant cells

Acta Physiologiae Plantarum, 2016

Research paper thumbnail of Application of the effective formula of growth functional to quantitative description of growth of plant cells

Acta Physiologiae Plantarum, 2016

Research paper thumbnail of Chemical Potential Derivative as Hallmark for Phase Transitions

Acta Physica Polonica A, 1999

We study antiferromagnetic properties of the two-band extended s-f model with fluctuating valence... more We study antiferromagnetic properties of the two-band extended s-f model with fluctuating valence in the context of two mutually bound new M. Pieiruszka, M. Matlak

Research paper thumbnail of Effective diffusion rates and cross-correlation analysis of “acid growth” data

Acta Physiologiae Plantarum, 2016

ABSTRACT

Research paper thumbnail of Correction: Ion Frequency Landscape in Growing Plants

Research paper thumbnail of Ion Frequency Landscape in Growing Plants

Research paper thumbnail of On the Quasi-Particle Formulation of Superconductivity for the Periodic Anderson Model

Acta Physica Polonica Series a

The temperature dependent superconducting gap functions are calculated wi quasi-particle formulat... more The temperature dependent superconducting gap functions are calculated wi quasi-particle formulation of the periodic Anderson model. Correlations among localized /-electrons are incorporated in an approximate way into the quasi-partic gators. With the deviation of the chemical potential from the centre of the band of heavy quasi-particles for the formation of the superconducting state gradually d An universal BCS-like behaviour of the gap functions is distinctly modified. The d with respect to the results of other authors are discussed.

Research paper thumbnail of Mathematical modelling of light-induced electric reaction of Cucurbita pepo L. leaves

Research paper thumbnail of Effect of Cadmium Ions on the Photoelectric Potential of Zea mays L. Plants

Acta Societatis Botanicorum Poloniae

was studied.

Research paper thumbnail of Theoretical search for the growth-temperature relationship in plants

General Physiology and Biophysics

In this article we deal with the definition of a new phenomenological model with physical bases f... more In this article we deal with the definition of a new phenomenological model with physical bases for the response of short-term cell expansion growth to temperature. Although the interest on both the biomechanical bases of elongation growth and on temperature responses has a long lasting development in plant biology and biophysics, yet the question of the mode of actions of temperature is a very relevant and still open one. The purpose of our paper was not to deal with all the complexity of the possible effects of temperature on a growing cell but to concentrate on two more focused questions: i) whether it is possible to specify an optimal temperature for growth responses all along development by defining some phenomenological equations for temperature response, ii) can we learn something from that on the temperature dependence of the cell wall expansion process using a minimal analytical modelling? To answer both questions we introduce (by extending Lockhart approach) the notion of temperature by simple thermodynamical reasoning. Assuming incompressibility of water (by the constant molar density n/V ) we also accounted for the role of osmosis and consequently -the role of water uptake in growing cell. This approach allowed us (by comparing theoretical solutions and experimental results) not only to determine the specific (resonance) temperature (or corresponding absorption energy k B T * ) of the optimal growth but also draw conclusions about the cell wall extensibility dependence on temperature and its evolution in time. A straightforward application of our method to determine optimum growth temperature for different plant species in a greenhouse practice (as its simple implication) can also be recommended.

Research paper thumbnail of Effect of temperature on plant elongation and cell wall extensibility

General Physiology and Biophysics

Lockhart equation was derived for explaining plant cell expansion where both cell wall extension ... more Lockhart equation was derived for explaining plant cell expansion where both cell wall extension and water uptake must occur concomitantly. Its fundamental contribution was to express turgor pressure explicitly in terms of osmosis and wall mechanics. Here we present a new equation in which pressure is determined by temperature. It also accounts for the role of osmosis and consequently the role of water uptake in growing cell. By adopting literature data, we also attempt to report theoretically the close relation between plant elongation and cell wall extensibility. This is accomplished by the modified equation of growth solved for various temperatures in case of two different species. The results enable to interpret empirical data in terms of our model and fully confirm its applicability to the investigation of the problem of plant cell extensibility in function of environmental temperature. Moreover, by separating elastic effects from growth process we specified the characteristic temperature common for both processes which corresponds to the resonance energy of biochemical reactions as well as to the rapid softening of the elastic modes toward the high temperature end where we encountered viscoelastic and/or plastic behavior as dominating. By introducing analytical formulae connected with growth and elastic properties of the cell wall, we conclude with the statement how these both processes contribute quantitatively to the resonancelike shape of the elongation curve. In addition, the tension versus temperature "phase diagram" for a living plant cell is presented.

Research paper thumbnail of Frequency landscape of tip-growing plants

Research paper thumbnail of Experimental Detection of Phase Transitions by Means of the Chemical Potential Measurement

Acta Physica Polonica Series B

We review some recently performed experiments concerning the detection of phase transitions in so... more We review some recently performed experiments concerning the detection of phase transitions in solids with the use of a single measurement of the chemical potential versus temperature. A new method of the indirect measurement of the chemical potential was demonstrated for Gd, Gd5Si4, Cr, TiNi (10% and 15% of deformation) and CuAlNiTiMn samples by means of a simple electrochemical experiment. For most cases the method allowed easily to detect all critical temperatures T{C} (Gd, Gd5Si4), T{N} (Cr) and the structural transition temperatures (TiNi, CuAlNiTiMn). The obtained results were in the exceptionally good agreement with other measurements and entirely supported the theoretical predictions concerning the applicability of the method. Presumably, it is also possible to detect phase transition anomalies, using the method of chemical potential measurement, either by thermoelectric or photoelectric effects.

Research paper thumbnail of Pressure-induced wall thickness variations in multi-layered wall of a pollen tube and Fourier decomposition of growth oscillations

General physiology and biophysics, 2015

The augmented growth equation introduced by Ortega is solved for the apical portion of the pollen... more The augmented growth equation introduced by Ortega is solved for the apical portion of the pollen tube as an oscillating volume, which we approach in the framework of a two-fluid model in which the two fluids represent the constant pressure and the fluctuating features of the system. Based on routine Fourier analysis, we calculate the energy spectrum of the oscillating pollen tube, and discuss the resonant frequency problem of growth rate oscillations. We also outline a descriptive model for cell wall thickness fluctuations associated with small, yet regular variations (~ 0.01 MPa) observed in turgor pressure. We propose that pressure changes must lead to the sliding of wall layers, indirectly resulting in a wave of polarization of interlayer bonds. We conclude that pollen tube wall thickness may oscillate due to local variations in cell wall properties and relaxation processes. These oscillations become evident because of low amplitude/high frequency pressure fluctuations δP being superimposed on turgor pressure P. We also show that experimentally determined turgor pressure oscillates in a strict periodical manner. A solitary frequency f 0 ≈ 0.066 Hz of these (~ 0.01 MPa in magnitude) oscillations for lily pollen tubes was established by the discrete Fourier transform and Lorentz fit.

Research paper thumbnail of Time evolution of the action potential in plant cells

Journal of biological physics, 1997

In this paper we extend and reconsider a solitonic model of the actionpotential in biological mem... more In this paper we extend and reconsider a solitonic model of the actionpotential in biological membranes for the case of plant cells. Aiming togive at least a qualitative description of the K(+),Cl(-) and Ca(2+) driven process of propagation ofthe action potential along plant cells we put forward the hypothesis ofthree scalar fields φ(i) (X), i = 1, 2, 3 which representK(+), Cl(-) and Ca(2+) ions,respectively. The modulus squared of these fields carries the usualquantum-mechanical (probabilistic) interpretation of the wave function. Onthe other hand, the fields are described themselves by the Lagrangiandensities ℒ[Formula: see text]. Moreover, the interaction and self-interaction term ℒ[Formula: see text] between thefields is considered. The Lagrangian densities ℒ[Formula: see text]include a double-well potential (which is proportional toσ(4) (i)) that leads to spontaneous symmetrybreaking which may produce structures with non-zero topological charge, e.g.longitudinal solitons. In or...

Research paper thumbnail of Check Sum Computing in Doubly Frustrated Microtubule Clusters

Research paper thumbnail of Conscious Events as Possible Consequence of Topological Frustration in Microtubules

NeuroQuantology, 2013

The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of a... more The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of anharmonic potential, which after a simple transformation may yield a so called 'double well potential'. Because of possible links with conformational changes taking place in microtubules (MT) of human brain neuronal system, to start with, we have calculated the shift of energy levels of a double well potential with respect to the infinite square double well. We conjecture that the dynamic instability of MTs, which has not been elucidated yet, may be the effect of recently proposed mechanism of geometrical frustration, which can also be utilized in case of tubulin dimers forming parallel protofilament subunits in MTs and for modeling the cognitive brain processes.

Research paper thumbnail of Derivation of Practical Kedem - Katchalsky Equations for Membrane Substance Transport

Old and New Concepts of Physics, 2008

The following paper includes a derivation of practical Kedem-Katchalsky (K-K) equations for the v... more The following paper includes a derivation of practical Kedem-Katchalsky (K-K) equations for the volume flow Jnu and the solute flow Js for non-electrolytes. This derivation makes the equations clearer and consequently their interpretation also becomes easier. The equations have been derived on the basis of the analysis of the membrane transport generated by simultaneous action of two thermodynamic stimuli: the hydrostatic pressure difference Deltap and the osmotic pressure difference DeltaPi. Furthermore, the derivation of the solute permeability coefficient omega, which results from K-K equations, is also presented in this paper. The formulas for coefficients characterizing membrane permeability, omegad and omegak, as well as their derivation and physical interpretation are also presented below. Finally, a formula for the membrane coefficient LD, which represents a diffusional mobility, is derived.

Research paper thumbnail of Reentrant and nonreentrant properties of magnetic superconductors. Critical electron redistribution

Physica C: Superconductivity, 1999

We consider an array of magnetically ordered 4f ions forming sc lattice. In the center of each cu... more We consider an array of magnetically ordered 4f ions forming sc lattice. In the center of each cube, we place oneeffective'nonmagnetic ion and we consider a model taking into account all necessary interactions of electrons belonging to both sorts of ions leading to a ...

Research paper thumbnail of Experimental method to detect phase transitions via the chemical potential

Physical Review B, 2001

ABSTRACT

Research paper thumbnail of Erratum to: Application of the effective formula of growth functional to quantitative description of growth of plant cells

Acta Physiologiae Plantarum, 2016

Research paper thumbnail of Application of the effective formula of growth functional to quantitative description of growth of plant cells

Acta Physiologiae Plantarum, 2016

Research paper thumbnail of Chemical Potential Derivative as Hallmark for Phase Transitions

Acta Physica Polonica A, 1999

We study antiferromagnetic properties of the two-band extended s-f model with fluctuating valence... more We study antiferromagnetic properties of the two-band extended s-f model with fluctuating valence in the context of two mutually bound new M. Pieiruszka, M. Matlak

Research paper thumbnail of Effective diffusion rates and cross-correlation analysis of “acid growth” data

Acta Physiologiae Plantarum, 2016

ABSTRACT

Research paper thumbnail of Correction: Ion Frequency Landscape in Growing Plants

Research paper thumbnail of Ion Frequency Landscape in Growing Plants

Research paper thumbnail of On the Quasi-Particle Formulation of Superconductivity for the Periodic Anderson Model

Acta Physica Polonica Series a

The temperature dependent superconducting gap functions are calculated wi quasi-particle formulat... more The temperature dependent superconducting gap functions are calculated wi quasi-particle formulation of the periodic Anderson model. Correlations among localized /-electrons are incorporated in an approximate way into the quasi-partic gators. With the deviation of the chemical potential from the centre of the band of heavy quasi-particles for the formation of the superconducting state gradually d An universal BCS-like behaviour of the gap functions is distinctly modified. The d with respect to the results of other authors are discussed.

Research paper thumbnail of Mathematical modelling of light-induced electric reaction of Cucurbita pepo L. leaves

Research paper thumbnail of Effect of Cadmium Ions on the Photoelectric Potential of Zea mays L. Plants

Acta Societatis Botanicorum Poloniae

was studied.

Research paper thumbnail of Theoretical search for the growth-temperature relationship in plants

General Physiology and Biophysics

In this article we deal with the definition of a new phenomenological model with physical bases f... more In this article we deal with the definition of a new phenomenological model with physical bases for the response of short-term cell expansion growth to temperature. Although the interest on both the biomechanical bases of elongation growth and on temperature responses has a long lasting development in plant biology and biophysics, yet the question of the mode of actions of temperature is a very relevant and still open one. The purpose of our paper was not to deal with all the complexity of the possible effects of temperature on a growing cell but to concentrate on two more focused questions: i) whether it is possible to specify an optimal temperature for growth responses all along development by defining some phenomenological equations for temperature response, ii) can we learn something from that on the temperature dependence of the cell wall expansion process using a minimal analytical modelling? To answer both questions we introduce (by extending Lockhart approach) the notion of temperature by simple thermodynamical reasoning. Assuming incompressibility of water (by the constant molar density n/V ) we also accounted for the role of osmosis and consequently -the role of water uptake in growing cell. This approach allowed us (by comparing theoretical solutions and experimental results) not only to determine the specific (resonance) temperature (or corresponding absorption energy k B T * ) of the optimal growth but also draw conclusions about the cell wall extensibility dependence on temperature and its evolution in time. A straightforward application of our method to determine optimum growth temperature for different plant species in a greenhouse practice (as its simple implication) can also be recommended.

Research paper thumbnail of Effect of temperature on plant elongation and cell wall extensibility

General Physiology and Biophysics

Lockhart equation was derived for explaining plant cell expansion where both cell wall extension ... more Lockhart equation was derived for explaining plant cell expansion where both cell wall extension and water uptake must occur concomitantly. Its fundamental contribution was to express turgor pressure explicitly in terms of osmosis and wall mechanics. Here we present a new equation in which pressure is determined by temperature. It also accounts for the role of osmosis and consequently the role of water uptake in growing cell. By adopting literature data, we also attempt to report theoretically the close relation between plant elongation and cell wall extensibility. This is accomplished by the modified equation of growth solved for various temperatures in case of two different species. The results enable to interpret empirical data in terms of our model and fully confirm its applicability to the investigation of the problem of plant cell extensibility in function of environmental temperature. Moreover, by separating elastic effects from growth process we specified the characteristic temperature common for both processes which corresponds to the resonance energy of biochemical reactions as well as to the rapid softening of the elastic modes toward the high temperature end where we encountered viscoelastic and/or plastic behavior as dominating. By introducing analytical formulae connected with growth and elastic properties of the cell wall, we conclude with the statement how these both processes contribute quantitatively to the resonancelike shape of the elongation curve. In addition, the tension versus temperature "phase diagram" for a living plant cell is presented.

Research paper thumbnail of Frequency landscape of tip-growing plants

Research paper thumbnail of Experimental Detection of Phase Transitions by Means of the Chemical Potential Measurement

Acta Physica Polonica Series B

We review some recently performed experiments concerning the detection of phase transitions in so... more We review some recently performed experiments concerning the detection of phase transitions in solids with the use of a single measurement of the chemical potential versus temperature. A new method of the indirect measurement of the chemical potential was demonstrated for Gd, Gd5Si4, Cr, TiNi (10% and 15% of deformation) and CuAlNiTiMn samples by means of a simple electrochemical experiment. For most cases the method allowed easily to detect all critical temperatures T{C} (Gd, Gd5Si4), T{N} (Cr) and the structural transition temperatures (TiNi, CuAlNiTiMn). The obtained results were in the exceptionally good agreement with other measurements and entirely supported the theoretical predictions concerning the applicability of the method. Presumably, it is also possible to detect phase transition anomalies, using the method of chemical potential measurement, either by thermoelectric or photoelectric effects.

Research paper thumbnail of Pressure-induced wall thickness variations in multi-layered wall of a pollen tube and Fourier decomposition of growth oscillations

General physiology and biophysics, 2015

The augmented growth equation introduced by Ortega is solved for the apical portion of the pollen... more The augmented growth equation introduced by Ortega is solved for the apical portion of the pollen tube as an oscillating volume, which we approach in the framework of a two-fluid model in which the two fluids represent the constant pressure and the fluctuating features of the system. Based on routine Fourier analysis, we calculate the energy spectrum of the oscillating pollen tube, and discuss the resonant frequency problem of growth rate oscillations. We also outline a descriptive model for cell wall thickness fluctuations associated with small, yet regular variations (~ 0.01 MPa) observed in turgor pressure. We propose that pressure changes must lead to the sliding of wall layers, indirectly resulting in a wave of polarization of interlayer bonds. We conclude that pollen tube wall thickness may oscillate due to local variations in cell wall properties and relaxation processes. These oscillations become evident because of low amplitude/high frequency pressure fluctuations δP being superimposed on turgor pressure P. We also show that experimentally determined turgor pressure oscillates in a strict periodical manner. A solitary frequency f 0 ≈ 0.066 Hz of these (~ 0.01 MPa in magnitude) oscillations for lily pollen tubes was established by the discrete Fourier transform and Lorentz fit.

Research paper thumbnail of Time evolution of the action potential in plant cells

Journal of biological physics, 1997

In this paper we extend and reconsider a solitonic model of the actionpotential in biological mem... more In this paper we extend and reconsider a solitonic model of the actionpotential in biological membranes for the case of plant cells. Aiming togive at least a qualitative description of the K(+),Cl(-) and Ca(2+) driven process of propagation ofthe action potential along plant cells we put forward the hypothesis ofthree scalar fields φ(i) (X), i = 1, 2, 3 which representK(+), Cl(-) and Ca(2+) ions,respectively. The modulus squared of these fields carries the usualquantum-mechanical (probabilistic) interpretation of the wave function. Onthe other hand, the fields are described themselves by the Lagrangiandensities ℒ[Formula: see text]. Moreover, the interaction and self-interaction term ℒ[Formula: see text] between thefields is considered. The Lagrangian densities ℒ[Formula: see text]include a double-well potential (which is proportional toσ(4) (i)) that leads to spontaneous symmetrybreaking which may produce structures with non-zero topological charge, e.g.longitudinal solitons. In or...

Research paper thumbnail of Check Sum Computing in Doubly Frustrated Microtubule Clusters

Research paper thumbnail of Conscious Events as Possible Consequence of Topological Frustration in Microtubules

NeuroQuantology, 2013

The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of a... more The phenomenon of persistent frustration of pollen tubes led us to recognition of a new form of anharmonic potential, which after a simple transformation may yield a so called 'double well potential'. Because of possible links with conformational changes taking place in microtubules (MT) of human brain neuronal system, to start with, we have calculated the shift of energy levels of a double well potential with respect to the infinite square double well. We conjecture that the dynamic instability of MTs, which has not been elucidated yet, may be the effect of recently proposed mechanism of geometrical frustration, which can also be utilized in case of tubulin dimers forming parallel protofilament subunits in MTs and for modeling the cognitive brain processes.

Research paper thumbnail of Derivation of Practical Kedem - Katchalsky Equations for Membrane Substance Transport

Old and New Concepts of Physics, 2008

The following paper includes a derivation of practical Kedem-Katchalsky (K-K) equations for the v... more The following paper includes a derivation of practical Kedem-Katchalsky (K-K) equations for the volume flow Jnu and the solute flow Js for non-electrolytes. This derivation makes the equations clearer and consequently their interpretation also becomes easier. The equations have been derived on the basis of the analysis of the membrane transport generated by simultaneous action of two thermodynamic stimuli: the hydrostatic pressure difference Deltap and the osmotic pressure difference DeltaPi. Furthermore, the derivation of the solute permeability coefficient omega, which results from K-K equations, is also presented in this paper. The formulas for coefficients characterizing membrane permeability, omegad and omegak, as well as their derivation and physical interpretation are also presented below. Finally, a formula for the membrane coefficient LD, which represents a diffusional mobility, is derived.

Research paper thumbnail of Reentrant and nonreentrant properties of magnetic superconductors. Critical electron redistribution

Physica C: Superconductivity, 1999

We consider an array of magnetically ordered 4f ions forming sc lattice. In the center of each cu... more We consider an array of magnetically ordered 4f ions forming sc lattice. In the center of each cube, we place oneeffective'nonmagnetic ion and we consider a model taking into account all necessary interactions of electrons belonging to both sorts of ions leading to a ...

Research paper thumbnail of Experimental method to detect phase transitions via the chemical potential

Physical Review B, 2001

ABSTRACT