A. V. Kuznetsov

The growth rate of senile plaques is determined by the competition between the rate of deposition of free Aβ aggregates into plaques and the autocatalytic production of free Aβ aggregates

This study models the growth of senile plaques in Alzheimer's disease, finding that plaque growth depends on the balance between Aβ aggregate deposition and autocatalytic production.

Effects of time-dependent ATP consumption caused by neuron firing on ATP concentrations in synaptic boutons containing and lacking a stationary mitochondrion

This paper models ATP concentration dynamics in presynaptic boutons with and without stationary mitochondria, finding that ATP levels remain sufficient for synaptic activity even without mitochondria.

Numerical modeling of senile plaque development under conditions of limited diffusivity of amyloid-β monomers

This paper develops a numerical model to simulate senile plaque development under limited amyloid-β monomer diffusivity, showing how plaque radius and aggregate concentrations depend on key dimensionless parameters.

Modeling the growth of cytosolic TDP-43 inclusion bodies and accumulated neurotoxicity of misfolded oligomers in neurons

This paper develops a mathematical model to predict TDP-43 inclusion body growth and neurotoxicity over time, showing radius increases with cube root of time and toxicity increases linearly.

Lewy Body Radius Growth: The Hypothesis of the Cube Root of Time Dependency

The paper develops a model for Lewy body growth, finding that their radius grows proportionally to the cube root of time, driven by lipid fragment and alpha-synuclein production rates.

Numerical and analytical simulation of the growth of amyloid-β plaques

This study models amyloid-β plaque growth, finding that plaque size increases proportionally to the cube root of time and is limited by monomer production/degradation rates.

Effect of diffusivity of amyloid beta monomers on the formation of senile plaques

This study models how Aβ monomer diffusion and production rates affect the formation of senile plaques, predicting a 7-year timeline to reach neurotoxic concentrations.

Mitochondrial Transport in Symmetric and Asymmetric Axons with Multiple Branching Junctions: A Computational Study

This study models mitochondrial age and distribution in symmetric and asymmetric axons with branching junctions, finding that uneven flux splitting increases mitochondrial system age in asymmetric axons.

ATP diffusional gradients are sufficient to maintain bioenergetic homeostasis in synaptic boutons lacking mitochondria

The paper models ATP diffusion in synaptic boutons without mitochondria and finds that diffusional gradients provide sufficient ATP for exocytic function.

Effect of mitochondrial circulation on mitochondrial age density distribution

The paper models mitochondrial circulation in axons and finds that reducing mitochondrial anchoring can lower their mean age, potentially aiding injured neurons.

Computational investigation of the effect of reduced dynein velocity and reduced cargo diffusivity on slow axonal transport

The paper uses a computational model to study how reduced dynein velocity and cargo diffusivity affect slow axonal transport, finding that bidirectional transport is necessary for non-uniform protein distribution.

Why slow axonal transport is bidirectional - can axonal transport of tau protein rely only on motor-driven anterograde transport?

The paper investigates whether anterograde motor-driven transport alone can explain tau protein distribution in axons, finding it insufficient and highlighting the necessity of retrograde transport.

Dynein dysfunction prevents maintenance of high concentrations of slow axonal transport cargos at the axon terminal: a computational study

This paper uses computational models to show that dynein dysfunction disrupts slow axonal transport by preventing concentration gradients from being maintained at the axon terminal.

An analytical solution simulating growth of Lewy bodies

The paper presents a minimal model simulating Lewy body growth with analytical solutions for core and halo expansion.

Effects of axon branching and asymmetry between the branches on transport, mean age, and age density distributions of mitochondria in neurons: a computational study

This study investigates how axon branching and asymmetry affect mitochondrial transport, mean age, and age density distributions in neurons using computational models.

Computation of the mitochondrial age distribution along the axon length

The paper models mitochondrial transport in axons to predict age distribution, finding mitochondria age increases linearly with distance from the soma.

Can the lack of fibrillar form of alpha-synuclein in Lewy bodies be explained by its catalytic activity?

The paper proposes a mathematical model to explain the absence of alpha-synuclein fibrils in Lewy bodies by suggesting their catalytic role in LB formation and investigates the implications for Parkinson's disease progression.

Simulation of a sudden drop-off in distal dense core vesicle concentration in Drosophila type II motoneuron terminals

The paper develops a mathematical model to explain a sudden drop-off in distal dense core vesicle concentration in Drosophila type II motoneuron terminals by simulating DCV flux and capture dynamics.

Bidirectional, unlike unidirectional transport, allows transporting axonal cargos against their concentration gradient

This paper develops mathematical models to explain how bidirectional axonal transport can maintain high cargo concentrations at axon terminals despite being less efficient than unidirectional transport.