The extracellular amyloid plaques, whose primary component is the amyloid-beta peptide (A$\beta$), are a key hallmark of Alzheimerโs disease. A four-compartment mathematical model for the A$\beta$ movements and aggregation processes has been proposed in [1]. The growth of the amyloid plaques is assumed to depend on their surface area, using an area-to-volume shape index. In this talk, at...
Epilepsy is a dynamic complex disease involving a paroxysmal change in the activity of millions of neurons, often resulting in seizures. Tonic-clonic seizures are a particularly important class of these and have previously been theorised to arise in systems with an instability from one temporal rhythm to another via a quasi-periodic transition. We show that a recently introduced class of next...
Our lab uses multi-electrode probes to monitor the electrical activity from
populations of neurons in the gustatory cortex of the mouse as it drinks a liquid. We
simultaneously measure when licks occur. Is it possible to use the neural recordings
to determine when licks occur or what tastant is presented at various time points? We
describe a new method for doing this using functional...
Alzheimerโs disease is a progressive neurodegenerative disorder characterized by the irreversible loss of neurons. Under normal conditions, ATM proteins exist as inactive homodimers in the cytoplasm. When oxidative stress occurs, these dimers dissociate into monomers that migrate to the nucleus, where they detect and repair double-strand DNA breaks. However, recent findings indicate that in...
Alzheimerโs disease (AD) is a complex, multifactorial, and currently incurable neurodegenerative disorder. Existing treatments can only slow disease progression, highlighting the urgent need for reliable biomarkers for early diagnosis. Among the most promising candidates are iron and amyloid-beta 42 (Aฮฒ42), which can be measured both in blood and cerebrospinal fluid (CSF).
One of the...
Astrocytic calcium responses under glutamate or ATP stimuli are highly heterogeneous, ranging from oscillatory dynamics to sustained plateau-like signals [1]. In the case of multi-peaks-type responses, experimental observations consistently report a delay preceding the onset of large amplitude cytosolic calcium oscillations (LAO). This delay is captured by a novel astrocyte model based on [2],...
Breathing is a vital, involuntary behavior that must remain robust while adapting to changing physiological demands. This poses a challenge for the control of breathing. The preBรถtzinger complex (preBรถtC) is a heterogeneous neuronal network responsible for driving the inspiratory rhythm. While neuromodulators such as norepinephrine (NE) allow it to be both robust and flexible for all living...
Chemical Reaction Networks (CRNs) provide a rigorous mathematical framework to represent molecular interactions along signaling pathways by large systems of ordinary differential equations, exploiting the mass-action law. This framework enables a deeper understanding of the mechanisms underlying different diseases by analyzing the dynamics of the concentrations of the involved chemical species...
Understanding brain function requires integrating processes across multiple spatial and temporal scales from neuronal and synaptic dynamics to large neural networks. Mathematical and theoretical modeling is crucial for linking these scales and for providing mechanistic insight into how normal brain function arises and how it is disrupted in disease.
This minisymposium focuses on...
