Abstract: A method of trajectory optimization for radiotherapy treatment includes providing a patient model having one or more regions of interest (ROIs), defining a delivery coordinate space (DCS), for each ROI, solving an adjoint transport to obtain an adjoint solution field from the ROI, for each vertex in the DCS, evaluating an adjoint photon fluence by performing ray tracing of the adjoint solution field, evaluating a dose of the ROI using the adjoint photon fluence, for each vertex in the DCS, evaluating a respective beam's eye view (BEV) score of each pixel of a BEV plane using the doses of the one or more ROIs, determining one or more BEV regions in the BEV plane based on the BEV scores, determining a BEV region connectivity manifold based on the BEV regions, and determining one or more optimal treatment trajectories based on the BEV region connectivity manifold.

Abstract: Improved systems, methods, and devices for treating sleep apnea are provided herein. In one aspect, an intraoral appliance for treating sleep apnea in a patient comprises an appliance shell comprising a plurality of cavities shaped to receive teeth of a jaw of the patient. The appliance shell can comprise an advancement structure arranged to interact with an opposing jaw of the patient so as to displace the lower jaw anteriorly relative to the upper jaw. The plurality of cavities can comprise cavity geometries shaped to reduce repositioning of one or more received teeth elicited by displacement of the lower jaw anteriorly relative to the upper jaw.

Abstract: A set of primer appliances and a set of treatment appliances to be worn by a subject are provided. The primer appliances are first worn to prepare the local environment of the teeth for further repositioning of the teeth by the treatment appliances. The primer appliances may apply compression or force to one or more support structures of the teeth in a direction favorable for inducing a biological response of the one or more support structures that prepare the teeth for repositioning, for example by relaxing the tissue of the one or more support structures of the teeth. The primer appliances may cause minimal or no repositioning of the teeth. The treatment appliances are worn to reposition the teeth from an initial position to an end position of a treatment stage. The primer appliances can improve the efficiency and accuracy of tooth movement by the treatment appliances.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A series of patient-customized orthodontic aligners may be produced by a process including receiving a digital model of a patient's tooth, determining a force system for eliciting a tooth movement, and designing a patient-customized attachment configured to engage at least one of the series of patient-customized orthodontic aligners when worn by a patient and apply a repositioning force to the patient's tooth corresponding to the force system. The process may also include designing the at least one of the patient-customized orthodontic aligners to engage the patient-customized attachment when worn by the patient, the at least one of the patient-customized orthodontic aligners having a shape customized responsive to the attachment, the digital model and the force system. The process may also include fabricating the series of patient-customized orthodontic aligners including the at least one of the patient-customized orthodontic aligners.

Abstract: A method of attachment design may include placing a virtual attachment having a shape at a location on a virtual tooth, generating attachment shape parameters for the virtual attachment, and determining whether the virtual attachment at the location and having the shape generates a solution that results in a desired movement of the virtual tooth for a stage of treatment in a treatment plan. The method may also include modifying, based on the determining, the shape of the virtual attachment or the location of the virtual attachment.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: Orthodontic systems and related methods are disclosed for designing and providing improved or more effective tooth moving systems for eliciting a desired tooth movement and/or repositioning teeth into a desired arrangement. Methods and orthodontic systems of the invention include tooth attachments having improved or optimized parameters selected or modified for more optimal and/or effective application of forces for a desired/selected orthodontic movement. Attachments of the present invention can be customized to a particular patient (e.g., patient-customized), a particular movement, and/or a sub-group or sub-set of patients, and configured to engage an orthodontic tooth positioning appliance worn by a patient, where engagement between the attachment and orthodontic appliance results in application of a repositioning force or series/system of forces to the tooth having the attachment and will generally elicit a tooth movement.

Abstract: Methods for and media with instruction to cause acquiring known dimensions of a tooth, applying a multivariant regression model using the known dimensions to calculate projected dimensions of the unerupted or erupting tooth, customizing a standard virtual geometry and/or a predefined virtual geometry using the projected dimensions of the unerupted or erupting tooth, and inserting the customized virtual geometry into a virtual model of the patient's jaw, and planning the movement of the teeth of the patient and designing a series of removable orthodontic aligners using the virtual model, the series of removable orthodontic aligners configured to be worn by the patient to incrementally align the teeth according to the planned movement.

Abstract: Processor elements are described herein. A processor element comprises a silicon layer. The processor element further comprises one or more conductive electrodes. The processor element further comprises dielectric material having a non-uniform thickness, the dielectric material disposed at least between the silicon layer and the one or more conductive electrodes. In use, when a bias potential is applied to one or more of the conductive electrodes, the positioning of the one or more conductive electrodes and the non-uniform thickness of the dielectric material together define an electric field profile to induce a quantum dot at an interface between the silicon layer and the dielectric layer. Methods are also described herein.

Abstract: A set of primer appliances and a set of treatment appliances to be worn by a subject are provided. The primer appliances are first worn to prepare the local environment of the teeth for further repositioning of the teeth by the treatment appliances. The primer appliances may apply compression or force to one or more support structures of the teeth, in a direction favorable for inducing a biological response of the one or more support structures that prepares the teeth for repositioning, for example by relaxing the tissue of the one or more support structures of the teeth. The primer appliances may cause minimal or no repositioning of the teeth. The treatment appliances are worn to reposition the teeth from an initial position to an end position of a treatment stage. The primer appliances can improve the efficiency and accuracy of tooth movement by the treatment appliances.

Abstract: Systems for orthodontic treatments are provided. In some embodiments, a system includes an attachment configured to be coupled to a tooth of a patient, the attachment having a first elasticity. The system can also include an orthodontic appliance having a shell with a plurality of teeth-receiving cavities shaped to reposition the patient's teeth from a first arrangement toward a second arrangement. The shell can have a second elasticity less than the first elasticity. The orthodontic appliance can include an attachment-receiving well formed in the shell. When the orthodontic appliance is worn on the patient's teeth, the attachment-receiving well can engage the attachment to effect a movement of at least one tooth of the patient.

Abstract: Methods and systems for dental treatment are provided. In some embodiments, a method includes receiving a plurality of treatment stages for repositioning a patient's teeth from an initial tooth arrangement toward a target tooth arrangement, where each treatment stage is associated with a target position for a tooth of the patient. The method can include determining, for one or more treatment stages, an overcorrected movement corresponding to an overcorrected position for the tooth that is different from the target position, where at least some of the one or more treatment stages include different magnitudes of overcorrected movements. The method can further include outputting fabrication instructions for one or more dental appliances corresponding to the one or more treatment stages, each dental appliance including an overcorrected tooth receiving cavity corresponding to the overcorrected position for the respective treatment stage.

Abstract: A series of appliances including a first shell and a second shell can be designed to incrementally implement a treatment plan. The first and second shells can have cavities designed to receive teeth of a jaw. A first number of bite adjustment structures can be formed of a same material as the first shell, extending therefrom and designed to interface with teeth of a second jaw. The first number of bite adjustment structures can have a first shape and location specific to a first stage of the treatment plan. A second number of bite adjustment structures can be formed of a same material as the second shell, extending therefrom and designed to interface with teeth of the second jaw. The second number of bite adjustment structures can have a second shape and location, different than the first shape and location, specific to a second stage of the treatment plan.

Abstract: A series of appliances including a first shell and a second shell can be designed to incrementally implement a treatment plan. The first and second shells can have cavities designed to receive teeth of a jaw. A first number of bite adjustment structures can be formed of a same material as the first shell, extending therefrom and designed to interface with teeth of a second jaw. The first number of bite adjustment structures can have a first shape and location specific to a first stage of the treatment plan. A second number of bite adjustment structures can be formed of a same material as the second shell, extending therefrom and designed to interface with teeth of the second jaw. The second number of bite adjustment structures can have a second shape and location, different than the first shape and location, specific to a second stage of the treatment plan.

Abstract: A dental appliance may include a first plurality of tooth receiving cavities for anterior teeth and a first plurality of attachment receiving cavities shaped to impart a first plurality of forces and a first counter moment to the anterior teeth, the first plurality of forces being to direct at least one tooth in a posterior direction. The dental appliance may include a second plurality of tooth receiving cavities for posterior teeth and a second plurality of attachment receiving cavities to impart a second plurality of forces and a second counter moment the posterior teeth, the second counter moment being in a direction opposing the first counter moment. At least a portion of the second plurality of forces may be configured to oppose the first plurality of forces. The first counter moment and the second counter moment may be configured to be coupled to form a differential moment.

Abstract: Orthodontic systems and related methods are disclosed for designing and providing improved or more effective tooth moving systems for eliciting a desired tooth movement and/or repositioning teeth into a desired arrangement. Methods and orthodontic systems include the generation of an overcorrection in the tooth-receiving cavities of an appliance worn in the dentition. The overcorrection may provide an improved and more accurately applied force or moment applied to a tooth. The overcorrected force or moment can move a tooth closer to a desired position than if not overcorrected as sufficient force can still applied to the tooth as it gets closer to the desired position. The overcorrected force or moment may also better target the root of the tooth where the biological response to tooth movement occurs. The overcorrection may be calculated in various ways as described herein.

Abstract: A device for quantum information processing is disclosed herein. According to examples, the device comprises a first plurality of confinement regions for confining spinful charge carriers for use as data qudits. The device further comprises a second plurality of confinement regions for confining spinful charge carriers for use as ancillary qudits, each confinement region of the second plurality of confinement regions couplable to measurement apparatus for measuring an ancillary qudit. The device further comprises a third plurality of confinement regions for confining spinful charge carriers, each confinement region of the third plurality of confinement regions situated between a first confinement region of the first plurality of confinement regions and a second confinement region of the second plurality of confinement regions and for use in mediating interactions between a data qudit of the first confinement region and an ancillary qudit of the second confinement region.

Abstract: Methods are disclosed for controlling charge stability in a device for quantum information processing. According to examples, a device for quantum information processing comprises a first plurality of confinement regions confining spinful charge carriers for use as qudits. The device further comprises a second plurality of confinement regions confining spinful charge carriers, each confinement region of the second plurality of confinement regions adjacent to a confinement region of the first plurality of confinement regions. The device further comprises one or more charge reservoirs, wherein each confinement region of the second plurality of confinement regions is attachable to a charge reservoir.

Abstract: Polymeric shell appliances are provided in which the polymeric shell appliances are configured to provide one or more activation forces to facilitate tooth movement. In many embodiments, the activation forces are arranged to provide force in a direction opposite to an intended direction of tooth movement. The polymeric shell appliances may comprise one or more tooth receiving cavities, in which each of the plurality of tooth receiving cavities is shaped and arranged to provide a counter moment of each of the plurality of teeth.