## About

116

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Introduction

R. R. Poznansky is known for elucidating the starburst amacrine cell’s role in retinal direction selectivity with Australian neuroscientist William R. Levick in 1992. He is a co-author of the book "Mathematical Neuroscience" with Polish mathematician Stanislaw Brzychczy published in 2013. In 2020 together with the Swedish quantum chemist Erkki J. Brändas developed "panexperiential materialism" as a new ontology for understanding the mind based on the material composition of consciousness.

**Skills and Expertise**

## Publications

Publications (116)

A macro-quantum model is developed to describe spontaneous processes in terms of computable equations. The resultant macro-quantum wave equation (Schrödinger-type equation) is solved via a Madelung transformation to yield a complex-valued solution whose real part gives the macro-quantum potential energy. We show that the mechanism responsible for s...

This is an open access article under the CC BY-NC 4.0 license (https://creativecommons.org/licenses/by-nc/4.0/)
The physicality of subjectivity is explained through a theoretical conceptualization of guidance waves informing meaning in negentropically entangled non-electrolytic brain regions. Subjectivity manifests its influence at the microscopi...

We have further developed the two-brains hypothesis as a form of complementarity (or complementary relationship) of endogenously induced weak magnetic fields in the electromagnetic brain. The locally induced magnetic field between electron magnetic dipole moments of delocalized electron clouds in neuronal domains is complementary to the exogenous e...

We present an example of mind-body interaction through the psychophysiology of chronic stress. We show the dynamic pattern of effects on the mind and body associated with chronic stress response and recognize how the mind coordinates the body systems to sustain internal equilibrium for optimal function. In fact many other bodily illnesses are cause...

If the physical mind is located in quantized space of the brain then how does the physical mind become the self? This remains an unresolved problem. It can be restated as how mental representations or mental states get their informational contents, and of doing so in terms of the natural functions brain states have? We call these natural brain func...

In this special issue, we invite quantum chemists, cognitive neuroscientists, and neuropsychiatrists on the topic of the mind and brain from a multiscale perspective. The multiscale perspective emphasizes information and the decoupling between biological informational structures at multiple scales that constitute extraordinary complexity, the outli...

We are pleased to launch the inaugural issue of the Journal of Multiscale Neuroscience (JMN), published by Neural Press.

We are pleased to launch the inaugural issue of the Journal of Multiscale Neuroscience (JMN), published by Neural Press. Why multiscale neuroscience and not multilevel neuroscience? Scales are a more neutral description than levels and refer to dimensions and boundaries instead of distinct forms of organization. The concept of level can denote a ma...

Stress alters neuroendocrine, autonomic, and behavioral processes to cope well with perceived threats that compromise subjective wellbeing. Just as the perception of risk can change the structure and function of brain circuitry, which may result in enduring behavioral changes. There needs to be a greater understanding of how the brain reacts to str...

The relevance of the Two-Brains Hypothesis for induction between peripheral Schwann cells and their axon hosts and for intra-and trans-cranial bioengineering at the human-robotics interface is accompanied by particular attention to its significance for a biological wonder: the involvement of geomagnetism in avian directional behavior in migration,...

This paper proposes biophysical principles for why geometric holonomic effects through the geometric vector potential are sentient when harmonized by quantized magnetic vector potential in phase-space. These biophysical principles are based on molecular level electromagnetic resonances in partially holistic molecules where nonintegrated information...

We define quantum analogs as vibrational excitations of quasi-particles coupled to electromagnetically-mediated resonance energy transfer in water (a crystal lattice). This paper addresses how neural magnetic resonance spectra of the brain's magnetic field influence dipolar oscillation waves in crystal lattices of interfacial water molecules to pro...

We define quantum analogs as vibrational excitations of quasi-particles coupled to electromagnetically-mediated resonance energy transfer in water (a crystal lattice). This paper addresses how neural magnetic resonance spectra of the brain’s magnetic field influence dipolar oscillation waves in crystal lattices of interfacial water molecules to pro...

The relevance of the Two-Brains Hypothesis for induction between peripheral Schwann cells and their axon hosts and for intra- and trans-cranial bioengineering at the human-robotics interface is accompanied by particular attention to its significance for a biological wonder: the involvement of geomagnetism in avian directional behavior in migration,...

We are pleased to launch the inaugural issue of the Journal of Multiscale Neuroscience (JMN), published by Neural Press.

The current action potential paradigm considers that all components beneath the neuron membrane are inconsequential. Filamentary communication is
less known to the ionic signal transmission; recently, we have proposed that the
two are intimately linked through time domains. We modified the atom
probe-connected dielectric resonance scanner to ope...

The mental illness or abnormal brain is recorded with EEG, and it records corollary discharge, which helps to identify the schizophrenia spontaneous situation of a patient. The recordings are in a time interval that shows the brain's different nodes normal and abnormal activities. The spiking neural network procedure can be applied here to detect t...

Electroencephalography is the recording of brain electrical activities that can be used to diagnose brain seizure disorders. By identifying brain activity patterns and their correspondence between symptoms and diseases, it is possible to give an accurate diagnosis and appropriate drug therapy to patients. This work aims to categorize electroencepha...

This is an open access article under the CC BY 4.0 license (https://creativecommons.org/licenses/by/4.0/). We review the neurological bases of emotions and anxiety-related behavior, integrating contributions from the medical, biological, cognitive neuroscience, and psychological sciences. In particular, we discuss recent affec-tive neuroscience of...

It is a century-old view that experiential philosophies are not compatible with materialism. In the contextual inconsistency with the reality, that matter is inertly acquiring only a single physical state, philosophers have gained ground in metaphysical beliefs, including dualism, monism, and idealism. We show that a new foundational self-referenti...

This is a short introduction as a complement to the Preface, for those not familiar with the current view of pre-existing quantum biology as a re-evolving subject and its influences concerning the theme “quantum boundaries of life.” We suggest that the information-based quantum Darwinism encapsulates macroscopic quantum potentialities via self-refe...

Understanding psychophysiological disorders of chronic stress on anxiety and depression include multiple levels of interaction from psychological, physiological, and behavioral and the brain is the central mediator. We present an overview of explanation into the physiological and mental processes that when the occurrence of one or more disorders be...

We present an example of mind-body interaction through the psychophysiology of chronic stress. We show the dynamic pattern of effects on the mind and body associated with chronic stress response and recognize how the mind coordinates the body systems to sustain internal equilibrium for optimal function. In fact many other bodily illnesses are cause...

In this paper, we propose a plasmonic circuit based on optical add‐drop multiplexer. A stack of silicon–graphene–gold layers is used at optical add‐drop filter ends. The light input from a laser source at the silicon base of the stack enables ultrafast electrical switching by rapid light‐electron energy conversion. It allows feedback signals monito...

We present a design of micro-conjugate mirror using a nonlinear microring resonator, which is made of GaAsInP/P, is rapidly achieving widespread option in several three-dimensional (3D) imaging applications. By exploiting the conjugate mirror properties, the 3D light probes can be formed by the whispering gallery modes (WGM) in which the WGM probe...

Polaritonic signal processing model and manipulation using a microring successive filtering circuit are proposed. The polariton signals are generated by the coherent light within the microring embedded a gold nanograting island, from which the successive filtering of the polariton signals within the designed on-chip circuit is manipulated by adjust...

We have proposed a model of polariton generation, which is normally generated by the dipole and the strong coupling field interaction. This system consists of a gold grating embedded on the plasmonic island, which is embedded at the center of the nonlinear microring resonator, which is known as a panda-ring resonator. The strong coupling between th...

The on-chip scale microring circuit is proposed to numerically investigate the supercontinuum (SC) generation of light power. The device is formed by the chalcogenide Panda-ring resonator with the nanoscale planar waveguide using Ge11.5As24Se64.5 chalcogenide glass channel waveguide, air-clad and MgF2 glass for lower cladding. The waveguide is desi...

We present a design of micro‐conjugate mirror using a nonlinear microring resonator, which is made of GaAsInP/P, is rapidly achieving widespread option in several three‐dimensional (3D) imaging applications. By exploiting the conjugate mirror properties, the 3D light probes can be formed by the whispering gallery modes (WGM) in which the WGM probe...

A correction to this article has been published and is linked from the HTML version of this paper. The error has been fixed in the paper.

A cable model that includes polarization-induced capacitive current is derived for modeling the solitonic conduction of electrotonic potentials in neuronal branchlets with microstructure containing endoplasmic membranes. A solution of the nonlinear cable equation modified for fissured intracellular medium with a source term representing charge ‘soa...

Local stability analysis.
(PDF)

Energy dissipation.
(PDF)

Determination of amplitudes.
(PDF)

Using steady-state electrical properties of non-ohmic dendrite based on cable theory, we derive electrotonic potentials that do not change over time and are localized in space. We hypothesize that clusters of such stationary, local and permanent pulses are the electrical signatures of enduring memories which are imprinted through nonsynaptic plasti...

Based on the energy conservation law, a new formula for the photon momentum was proposed in [1]. In this work, some defects of this new proposal are discussed. It is shown that this new proposal can lead to negative energy of photons. In addition, the group velocity of massive particles exceeds the light velocity which violates the causality princi...

A model of solitonic conduction in neuronal branchlets with microstructure is presented. The application of cable theory to neurons with microstructure results in a nonlinear cable equation that is solved using a direct method to obtain analytical approximations of traveling wave solutions. It is shown that a linear superposition of two oppositely...

The huge number of voxels in fMRI over time poses a major challenge to for effective analysis. Fast, accurate, and reliable classifiers are required for estimating the decoding accuracy of brain activities. Although machine-learning classifiers seem promising, individual classifiers have their own limitations. To address this limitation, the presen...

The current state of knowledge portrays either a reductionist view of consciousness, for ex. , the seat of consciousness is characterized as quantum gravity affects in microtubules (of the cytoskeleton) or a more recent viewpoint is that consciousness is the result of a large-scale integration of information in the brain. The reductionist theories...

The starburst amacrine cell (SAC) plays a fundamental role in retinal motion perception. In the vertebrate retina, SAC dendrites have been shown to be directionally selective in terms of their Ca2+ responses for stimuli that move centrifugally from the soma. The mechanism by which SACs show Ca2+ bias for centrifugal motion is yet to be determined w...

Great advances have been made in signaling information on brain activity in individuals, or passing between an individual and a computer or robot. These include recording of natural activity using implants under the scalp or by external means or the reverse feeding of such data into the brain. In one recent example, noninvasive transcranial magneti...

Functional magnetic resonance imaging (fMRI) makes it possible to detect brain activities in order to elucidate cognitive-states. The complex nature of fMRI data requires under-standing of the analyses applied to produce possible avenues for developing models of cognitive state classification and improving brain activity prediction. While many mode...

Biophysics of Consciousness is the first book to elucidate the biophysical basis of consciousness for the development of conscious artifacts

Great advances have been made in signaling information on brain activity in individuals, or passing between an individual and a computer or robot. These include recording of natural activity using implants under the scalp or by external means or the reverse feeding of such data into the brain. In one recent example, noninvasive transcranial magneti...

Construction of upper and lower solutions for finite systems and the extension of these methods to the more general infinite systems of equations are carried out to prove the existence of solutions of many types of partial differential equations arising in neuroscience. A procedure which makes use of the comparison principle is used in the construc...

This chapter begins with a description of coupled infinite systems of partial differential equations arising from a tapering cable representing a single branch of a dendritic tree to form dendritic trees, networks of dendritic trees, systems of networks, and so on. The coupling arises from both the connectivity between branches of a dendritic tree...

To examine the existence and uniqueness of solutions for initial-boundary value problems, various monotone iterative methods are described for the case of infinite systems of equations. The monotone iterative methods are quite useful for computation of numerical solutions of finite systems of equations. Different variants of the monotone iterative...

To study the existence and uniqueness of a solution of the considered nonlinear problems arising in neuroscience, use of the topological fixed point method is considered to be an important technique in the tool kit of nonlinear analysis. Considering partially ordered Banach space of continuous mappings natural sufficient conditions for the existenc...

Since it is not possible in practice to directly solve infinite systems, an infinite system is replaced by a finite system. Such a transition from infinite to finite systems is known as truncation. One of the ways to describe the truncation process is to assume a projection from an infinite-dimensional space onto its finite-dimensional subspaces. T...

The development of a framework that underpins the understanding of infinite systems in general requires a number of assumptions and conditions to be made with respect to the topology and vector spaces. This chapter concludes with a definition of stability of solutions of infinite systems.

Infinite countable or uncountable systems of nonlinear ordinary and partial differential equations, which are discrete and continuous models, respectively, are analyzed in infinite-dimensional vector spaces.

The basic tools of proving theorems are differential inequalities and comparison theorems for infinite systems and particularly what is known as the positivity lemma, which directly follows from the maximum principle.

A variant of the Chaplygin method is used to guarantee the existence of stable solutions for infinite systems. The purpose of this chapter is to give some conditions which will guarantee the existence of a stable solution for infinite systems. We show that the limit of the solution in the steady state is the solution of an associated time-independe...

Reaction-diffusion equations arise in neuroscience to describe a variety of neural phenomena from action potential propagation to facilitated diffusion. General theory of quasilinear reaction-diffusion equations is essential to explore a wide range of behaviors of importance in neuroscience.

This chapter introduces the reader to infinite systems in neuroscience. Why are infinite systems so important? Infinite systems of partial differential equations are continuous dynamical representations. Infinite systems allow for integration to take place continuously, so that processes of a particular neural system at each hierarchical level can...

A theoretical framework is developed based on the premise that brains evolved into sufficiently complex adaptive systems capable of instantiating genomic consciousness through self-awareness and complex interactions that recognize qualitatively the controlling factors of biological processes. Furthermore, our hypothesis assumes that the collective...

Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models...

Passive dendrites become active as a result of electrostatic interactions by dielectric polarization in proteins in a segment of a dendrite. The resultant nonlinear cable equation for a cylindrical volume representation of a dendritic segment is derived from Maxwell's equations under assumptions: (i) the electric field is restricted longitudinally...

Application of comparison theorem is used to examine the validitiy of the "lumped parameter assumption" in describing the behavior of solutions of the continuous cable equation U(t) = DU(xx)+f(U) with the discrete cable equation dV(n)/dt = d*(V(n+1) - 2V(n) + V(n-1)) + f(V(n)), where f is a nonlinear functional describing the internal diffusion of...

In earlier models, synaptic plasticity forms the basis for cellular signaling underlying learning and memory. However, synaptic computation of learning and memory in the brain remains controversial. In this paper, we discuss ways in which synaptic plasticity remodels subcellular networks by deflecting trajectories in neuronal state-space as regulat...

The electrodynamics of action potentials represents the fundamental level where information is integrated and processed in neurons. The Hodgkin-Huxley model cannot explain the nonstereotyped spatial charge density dynamics that occur during action potential propagation. Revealed in experiments as spike directivity, the non-uniform charge density dy...

Coupling ratio analysis using dual intracellular recording combined with ultrastructural examination of particles in plaques corresponding to gap-junctional channels is a quantitative measure of electrotonic coupling. The difficulty in combining both electrophysiological and morphological methods in determining the gap-junctional conductance of ele...

Optical imaging of dendritic calcium signals provided evidence of starburst amacrine cells exhibiting calcium bias to somatofugal motion. In contrast, it has been impractical to use a dual-patch clamp technique to record membrane potentials from both proximal dendrites and distal varicosities of starburst amacrine cells in order to unequivocally pr...

A reaction-diffusion model is presented to encapsulate calcium-induced calcium release (CICR) as a potential mechanism for somatofugal bias of dendritic calcium movement in starburst amacrine cells. Calcium dynamics involves a simple calcium extrusion (pump) and a buffering mechanism of calcium binding proteins homogeneously distributed over the pl...

An assumption commonly used in cable theory is revised by taking into account electrical amplification due to intracellular capacitive effects in passive dendritic cables. A generalized cable equation for a cylindrical volume representation of a dendritic segment is derived from Maxwell's equations under assumptions: (i) the electric-field polariza...

The continuity of the mind is suggested to mean the continuous spatiotemporal dynamics arising from the electrochemical signature of the neocortex: (i) globally through volume transmission in the gray matter as fields of neural activity, and (ii) locally through extrasynaptic signaling between fine distal dendrites of cortical neurons. If the conti...

In order to elucidate the relationships between hierarchical structures within the neocortical neuropil and the information carried by an ensemble of neurons encompassing a single voxel, it is essential to predict through volume conductor modeling LFPs representing average extracellular potentials, which are expressed in terms of interstitial poten...

We commemorate the 40th anniversary of the classical study undertaken by Barlow-Levick with a new challenge: to show how direction selectivity in the dendritic plexus of starburst amacrine cells is being computed. In the rabbit retina, although the cellular locus of direction selectivity is known to occur predominantly in the dendrites of starburst...