Period Concatenation in The Brain, And The Synthesis of Beta 1 Rhythm

The principles of generation of EEG waves in the brain are still ill understood. Although the general mechanism of cortical dipoles and thalamocortical oscillations behind the generation holds true; there has been speculations that the alpha waves could actually be originating in the heart- the cardiac electromechanical hypothesis, which states that the arterial pulse ‘shocks’ the skull-brain mass (and interacts electrically and mechanically) to oscillate at its naturally resonant frequency of approximately 10 Hz.

Now, Kramer et al propose that beta 1 rhythm could be the result of a process called period concatenation (concatenation means chain forming or serial addition). Beta rhythms (18-30 Hz) were thought to be harmonics (integer multiples of the fundamental frequency) of alpha rhythms (8-12 Hz). Kramer et al observed that application of 400 nanomolar kainate to rat somatosensory cortex produced gamma rhythm in the superficial cortical layers and beta2 rhythms in the deep cortical layers.

They observed that after an initial interval of simultaneous gamma (~25 ms period) and beta2 (~40 ms period) rhythms in the superficial and deep cortical layers respectively, a resultant, synchronous beta1 (~65 ms period) rhythm in all cortical layers occurred. They concluded that the time period (the inverse of frequency, or 1/f) of gamma wave (25ms) concatenated with that of beta2 (40ms), to form the time period of 65 ms (40+25). That was the time period of the beta1 rhythm, which resulted as a consequence of this concatenation. They concluded that neural activity in the superficial and deep cortical layers of the brain could combine over time to generate a slower oscillation.

Frequency synthesis would, naturally, have both energy and space saving implications for the system concerned. That the brain economizes is not new in computational biology and electronics. For example, in the simplest and realistic model of the 40 Hz gamma rhythm, only 2 neurons (one excitatory and the other inhibitory) interconnected by reciprocal paths are required. The excitatory neuron will ‘charge’ the inhibitory neuron. The inhibitory neuron will suppress (inhibit) the activity of the excitatory neuron as a result, and any oscillation will be dampened. Hence, a decay in the inhibitory synapse will not inhibit the excitatory neuron anymore and thus cause oscillation; and clearly, the frequency of rhythm will depend on the decay time. This “gamma-motif” resembles a lot with the ‘flip-flop’ circuits in digital electronics.

Its not surprising that the human brain which had evolved as a result of nature’s selection process will learn to compute things so that the metabolic costs of additional neural pacemakers were curtailed to the bare minimum.

Last modified: never
References: Mark A. Kramer, Anita K. Roopun, Lucy M. Carracedo, Roger D. Traub, Miles A. Whittington, Nancy J. Kopell (2008). Rhythm Generation through Period Concatenation in Rat Somatosensory Cortex PLoS Computational Biology, 4 (9) DOI: 10.1371/journal.pcbi.1000169

A Cardiac Hypothesis for the Origin of EEG Alpha
Castillo, Horace T.
Digital Object Identifier: 10.1109/TBME.1983.325080

Phase Alignment of Neocortical Gamma Oscillations by Hippocampal Theta Waves

An empty brain is the devil’s workshop, goes the proverb. Actually, the brain is never empty. Even in our deepest slumber, the brain continues to weave waves of electrical rhythms that can be seen with the aid of electroencephalogram or EEG. When we place electrodes on the scalp or on the cortex (inside the skull), and amplify the faint signals via bioinstrumentation amplifier, we can lay our hands on these fluctuating rhythms. (More on the electronics of EEG may be found at the OpenEEG project site).

We have as many as 100 billion neurons in the brain. In the superficial layers of the cortex, the neurons have numerous dendrites branching out from the soma or cell body (shown in grey oval in this picture).These neurons have been compared to a forest of trees where the branches are the dendrites and the trunk the axon. These dendrites make extensive connections among each other. They also get connections from the axon collaterals of neighboring axons (i.e. the 'trunks' of other trees connect to these 'twigs' by offshoot from the trunks). Since there are a lot of axons converging on the dendrites of each neuron, and given the fact that these axons can be excitatory (red) or inhibitory (green) depending on the neurotransmitter, the sum of input may be either negative or positive (with respect to the cell body). Thus an alternating current (cortical dipole) will flow between the shifting dendrites and the soma. This along with thalamocortical oscillations produces the EEG waves.

The brain doesn’t churn out the rhythm just like that. Had the neurons fired randomly the oscillations would have cancelled out.EEG waves occur due to synchronous discharge of neurons producing the alpha, beta, theta, gamma and other telltale waves. Like all other electrical waves, they too have a frequency and amplitude. Alpha waves, for example, have a frequency of 8-12 Hz (cycles per second) and an amplitude ranging from 50-100 microvolt when recorded from the scalp, and it is found when a person is resting comfortably with eyes closed and the mind wandering. On the other hand, gamma rhythm has a frequency of 30-80 Hz, and it is found when a person is deeply engrossed on some work.

It was known for a long time that the hippocampus exerted a role in learning by fostering long term potentiation (LTP) by aligning the neocortex, where memories are stored. The mechanisms behind this are now emerging. Sirota et al and Siapas et al have analyzed rat brains and found out that there were many localized gamma oscillators within the brain that gave rise to neocortical gamma bursts. These oscillators had varying frequencies but they phase aligned themselves with the arrival of hippocampal theta waves. A large fraction of pyramidal cells and interneurons too were phase aligned to the hippocampal theta rhythm.This is similar to a bar magnet aligning iron dust or other ferromagnetic materials by virtue of its magnetic field. Apart from the cerebral cortex, the cerebellar cortex and the hippocampus too can generate brain waves. Such a mechanism may explain the orchestration of many parts of the cortex (and hence the memory engrams they contain); and data synchronization and downloading to the hippocampus for memory retrieval. It also shows how hippocampus does the ‘indexing’ of cortical contents. These experiments throw light on neuronal plasticity and information flow, and may be someday they could help clinicians in fighting memory loss as it occurs in neurodegenerative diseases like Alzheimer’s disease.

Last modified: never
References:

Prefrontal Phase Locking to Hippocampal Theta Oscillations
Athanassios G. Siapas, Evgueniy V. Lubenov and Matthew A. Wilson. doi:10.1016/j.neuron.2005.02.028
A SIROTA, S MONTGOMERY, S FUJISAWA, Y ISOMURA, M ZUGARO, G BUZSAKI (2008). Entrainment of Neocortical Neurons and Gamma Oscillations by the Hippocampal Theta Rhythm Neuron, 60 (4), 683-697 DOI: 10.1016/j.neuron.2008.09.014