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407 results about "Mathematical relationship" patented technology

A mathematical relation is, a relationship between sets of numbers or sets of elements. Often you can see relationships between variables by simply examining a mathematical equation. Many physical relationships in electrostatics, electrodynamics, thermodynamics, etc. are expressed by mathematical equations.

Method for optical measurements of tissue to determine disease state or concentration of an analyte

A method for collecting optical data at two morphologically similar, substantially non-overlapping, and preferably adjacent, areas on the surface of a tissue, while the temperature in each area is being maintained or modulated according to a temperature program. The optical data obtained are inserted into a mathematical relationship, e.g., an algorithm, that can be used to predict a disease state (such as the diabetes mellitus disease state) or the concentration of an analyte for indicating a physical condition (such as blood glucose level). This invention can be used to differentiate between disease status, such as, for example, diabetic and non-diabetic. The method involves the generation of a calibration (or training) set that utilizes the relationship between optical signals emanating from the skin under different thermal stimuli and disease status, e.g., diabetic status, established clinically. This calibration set can be used to predict the disease state of other subjects. Structural changes, as well as circulatory changes, due to a disease state are determined at two morphologically similar, but substantially non-overlapping areas on the surface of human tissue, e.g., the skin of a forearm, with each area being subjected to different temperature modulation programs. In addition to determination of a disease state, this invention can also be used to determine the concentration of an analyte in the tissues. This invention also provides an apparatus for the determination of a disease state, such as diabetes, or concentration of an analyte, such as blood glucose level, by the method of this invention.
Owner:ABBOTT DIABETES CARE INC

Gamma radiation spectral logging system and method for processing gamma radiation spectra

A gamma ray logging system and a method of calibrating a detected gamma radiation spectrum. The gamma ray logging system includes a gamma ray detector for detecting gamma radiation, an analyzer for generating a detected gamma radiation spectrum from the detected gamma radiation, and a processor which is configured to perform a calibration of the detected gamma radiation spectrum. The method of calibrating the detected gamma radiation spectrum includes selecting at least two data points from the detected gamma radiation spectrum, determining a mathematical relationship from the selected data points, and using the mathematical relationship to generate a calibrated gamma radiation spectrum from the detected gamma radiation spectrum.
Owner:SCHLUMBERGER TECH CORP

Method and apparatus for computer modeling of the interaction between and among cortical and subcortical areas in the human brain for the purpose of predicting the effect of drugs in psychiatric and cognitive diseases

Computer modeling of interactions between and among cortico and subcortical areas of the human brain, for example in a normal and a pathological state resembling schizophrenia which pathological state has inputs representing the effects of a drug(s), for the purpose of using the outputs to predict the effect of drugs in psychiatric and cognitive diseases on one or more clinical scales. Diseases that can be modeled include psychiatric disorders, such as schizophrenia, bipolar disorder, major depression, ADHD, autism, obsessive-compulsive disorder, substance abuse and cognitive deficits therein and neurological disorders such as Alzheimer's disease, Mild Cognitive impairment, Parkinson's disease, stroke, vascular dementia, Huntington's disease, epilepsy and Down syndrome. The computer model preferably uses the biological state of interactions between and among cortico and subcortical areas of the human brain, to define the biological processes related to the biological state of the generic synapse model, the striatum, Locus Coeruleus, Dorsal raphe, hippocampus, amygdala and cortex, as well as certain mathematical relationships related to interactions among biological variables associated with the biological processes.
Owner:CERTARA USA INC

Multifunctional true triaxial rock drilling test system and test method for characterizing the characteristics of rocks

The invention discloses a multifunctional true triaxial rock drilling test system and a test method for characterizing the characteristics of rocks. According to the method, a test piece is drilled for several times to obtain different rock cores, then the rock cores are subjected to single axial tests and triaxial tests so as to obtain a plurality of sets of mechanical property parameters; then a true triaxial rock drilling tester that can directly measure the parameters while drilling is used to obtain a plurality of sets of parameters while drilling; a mathematical relationship between the mechanical property parameters and the parameters while drilling can be established, and thus the mechanical property parameters can be obtained only through measuring the parameters while drilling of rocks according to the mathematical relationship. According to the method, a multifunctional true triaxial rock drilling tester is taken as the preset test apparatus; the tester can perform true triaxial loading on a test piece and is capable of simulating the drilling process when a test piece is pressed from three directions in underground engineering; the relationship between the parameters while drilling and mechanical characteristics of rocks under different pressures on a test piece can be established, and the test method comprises specific steps from sample preparation to data processing.
Owner:SHANDONG UNIV

Method and applications for measurement of object tactile properties based on how they likely feel to humans

A system may measure, store, and recall at least one tactile property of multiple objects. The system may include one or more biomimetic tactile sensors that have mechanical properties and sensor modalities that are similar to those of human fingertips. The system may perform at least one exploratory movement on one of the objects by moving the biomimetic tactile sensors over a surface of the object. The at least one exploratory movement may be of a type that a human would normally perform on the object to discern the at least one tactile property and may have one or more movement parameters. Each of the movement parameters may fall within a range of movement parameters that would normally be exhibited if a human performed the exploratory movement for the at least one tactile property. The system may determine and store a value of the at least one tactile property based on information provided by the biomimetic tactile sensors in response to the exploratory movement. The determining may use an analytical function that specifies a mathematical relationship between the value and the information provided by the biomimetic tactile sensors that is based on physical phenomena, rather than extracted from data sets by an adaptive algorithm. The system may repeat the same exploratory movement performance, the same determining the value using the same analytical function, and the same storing the determined value for each of the other objects.
Owner:SYNTOUCH

Micro-grid small signal stability analyzing and parameter coordinated setting method

The invention discloses a micro-grid small signal stability analyzing and parameter coordinated setting method, and belongs to the technical field of power system micro-grid operation and control. The micro-grid small signal stability analyzing and parameter coordinated setting method comprises the steps of establishing micro-grid mathematical models which comprise a network and load small signal model and an inverter small signal model and are in need of parameterized design, determining each parameter of the micro-grid according to the root-locus method and using the parameters as initial values of the particle swarm algorithm, conducting sensitivity analyzing through a characteristic value, determining a leading parameter, determining the value range of all the parameters or the mathematical relationships among all the parameters, solving the constraint conditions in the process by the utilization of the particle swarm algorithm, determining the initial values, the parameters in need of optimization and the constraint conditions, and conducting parameter optimization and coordinated setting by the utilization of the particle swarm algorithm. By means of the micro-grid small signal stability analyzing and parameter coordinated setting method, determining of each parameter can be realized quickly and accurately in a coordinated mode, the complexity of setting the parameters one by one is avoided, and the system is made to be more stable on the basis of small signal stability; target functions and boundary conditions are flexibly adjusted, the working time is greatly shortened and the efficiency is improved.
Owner:ELECTRIC POWER RESEARCH INSTITUTE, CHINA SOUTHERN POWER GRID CO LTD +2
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