Vestibular Sandbox
Interactive 3D Kinetic Model
Normal physiological operation.
Interactive 3D Kinetic Model
Normal physiological operation.
The vestibular system represents the biological equivalent of an inertial measurement unit (IMU), sensing rotational and linear accelerations to establish a continuous frame of spatial reference. Located within the petrous portion of the temporal bone, the vestibular apparatus functions alongside visual pathways and proprioception to support gaze stabilization, postural control, and spatial orientation. This system consists of two main structures: the three orthogonal semicircular canals and the two otolith organs (the utricle and saccule).
Each semicircular canal (anterior, posterior, and horizontal) is aligned approximately orthogonal to the others, allowing for resolution of rotational velocity vectors along any spatial axis. When the head undergoes angular acceleration, inertia causes the internal endolymph fluid to lag relative to the bony canal walls. This relative fluid shift displaces the cupula—a gelatinous membrane within the ampulla. The physical movement of the cupula bends the hair cell stereocilia, altering the baseline open probability of mechanically gated ion channels. This modulation shifts the resting firing rate of the vestibular portion of Cranial Nerve VIII (the vestibulocochlear nerve).
The otolith organs measure linear forces, including static gravity and translational acceleration. Unlike the semicircular canals, the utricle and saccule use a dense surface layer of calcium carbonate crystals called otoconia. These crystals sit on top of a gelatinous otolithic membrane. When the head tilts or undergoes translational acceleration, the heavier otoconia slide across the sensory macula, bending hair cells to signal tilt angles and linear translation relative to gravity.
This dynamic environment is designed to demonstrate how head motion changes biological pathways. Use the following steps to explore these dynamics:
This simulation runs on a physical model designed to replicate fluid dynamics inside the inner ear. Semicircular canal fluid flow is calculated using a first-order differential model of endolymph drag and cupula elasticity:
In this equation, τ represents the physical relaxation time of the cupula, K_sensitivity is the mechanical scale factor, and α_head is the rotational velocity input. This modeling captures the fluid's inertia, where rapid rotations cause initial displacement that gradually returns to baseline during sustained constant velocity.
Mechanoreceptor hair cells translate this movement using a non-linear sigmoidal transduction curve. This model limits maximum firing rates and prevents negative frequencies, matching biological constraints:
The Vestibulo-Ocular Reflex (VOR) uses these calculated firing rates to drive simulated eye movements. The slow-phase velocity works to rotate the eyes opposite head movement to stabilize the visual field. If the eyes reach their structural limit, they trigger a rapid reset in the opposite direction, creating a simulated nystagmus waveform.
The roadmap for this simulation includes several planned additions to support clinical education: