arXiv subjects

Mahendra Kavdia

Publications and source records attributed to Mahendra Kavdia.

2 recordsLinked to original sources

arXiv2026

Neuronal electricality founded in murburn-thermodynamic principles: 1. Background and basic theoretical formulation

Trans-membrane ion-gradients and fluxes are central to conventional electrical activity in aerobic cells/organelles. The Murburn concept offers novel physico-chemical models for various metabolic, bioenergetic and electrophysiological phenomena. Here, we develop a foundational framework for neuronal electrical activity and axonal signal propagation using the electron-holding potential (EHP), a dimensionless field related logarithmically to electron chemical potential. By combining local redox relaxation dynamics with spatial transport driven by thermodynamic gradients, we derive a unified reaction-transport-relaxation equation that accounts for resting potential, excitability, waveform generation, and signal propagation within a single formalism. Nonlinear local redox kinetics yield a stable resting state and graded responses from a single scalar field; extending it to the two-variable excitable (FitzHugh Nagumo) form, a bistable reaction with a slow recovery variable, further yields a genuine threshold, all-or-none spikes, a refractory period and a propagating action potential. The framework accommodates known physiological variability of neurons and provides a direct bridge between metabolic/redox state and electrophysiology. This framework offers testable predictions for neuronal dynamics (such as velocity, waveform morphology, and environmental conditions) across biological systems. We derive and solve the equations to obtain the transmembrane potential as a function of time, and the neuronal conduction velocity as a function of parameters like ionic strength, temperature, axon diameter, myelination, and driving potential. In the second part of this work, we present comparative analyses, simulations, and experimental strategies for validation and falsification.

q-bio.NC↗

arXiv2026

Neuronal electricality founded in murburn-thermodynamic principles: 2. Comparisons, evidenced explanations, and predictions

The analyses presented herein demonstrate that neuronal electrical activity can be consistently interpreted as a manifestation of murburn redox-mediated electronic dynamics rather than as a process fundamentally driven by transmembrane ionic flux. By integrating comparison with established models, quantitative predictions, and diverse experimental observations, the murburn framework emerges as a unified and chemically grounded description of excitability. A key strength of the model lies in its predictive structure. Unlike phenomenological frameworks that rely on parameter fitting, the murburn formulation links measurable electrophysiological outputs: such as conduction velocity, waveform morphology, and threshold behavior; to physically interpretable variables including redox kinetics, transport efficiency, and environmental conditions. This enables direct experimental validation through perturbations in oxygen availability, redox balance, solvent properties, ionic strength, and external fields. Importantly, the framework extends beyond neurons to a broader class of excitable systems, including cardiac tissue, photoreceptors, and artificial redox-active materials, suggesting that excitability is a general physicochemical phenomenon rooted in reaction-transport dynamics. While the present work establishes the mid-scale dynamics of neuronal electricality, further developments are required to connect quantum-level electron transfer processes with macroscopic electrophysiological signals such as EEG and EMG. These extensions, along with targeted experimental tests, will determine the ultimate scope and applicability of the murburn paradigm.

q-bio.NC↗