Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel which are related to the concentration of each of the individual fluorophores. Morphological processing instructions find biological structures. A display module displays quantitative analysis results to the user. The quantitative analysis display includes histograms of the biological structures, scatter plots of fluorophore concentrations, statistical data, spectral data, image data and still others.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel which are related to the concentration of each of the individual fluorophores. Morphological processing instructions find biological structures. A display module displays quantitative analysis results to the user. The quantitative analysis display includes histograms of the biological structures, scatter plots of fluorophore concentrations, statistical data, spectral data, image data and still others.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel which are related to the concentration of each of the individual fluorophores. Morphological processing instructions find biological structures. A display module displays quantitative analysis results to the user. The quantitative analysis display includes histograms of the biological structures, scatter plots of fluorophore concentrations, statistical data, spectral data, image data and still others.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A biological sample such as a tissue section is stained with one or more quantum dots and possibly other fluorophores (total number of fluorophores N). A camera coupled to a microscope generates an image of the specimen at a plurality of different wavelengths within the emission spectral band of the N fluorophores. An analysis module calculates coefficients C1 . . . CN at each pixel from the set of images and reference spectral data for the N fluorophores. The coefficients C1 . . . CN are related to the concentration of each of the individual fluorophores at each pixel location. Morphological processing instructions find biological structures, e.g., cells, cellular components, genes, etc., in the images of the specimen. Quantitative analysis is performed on the identified biological structures. A display module displays the quantitative analysis results to the user, along with images of the specimen. The images can include images constructed from one or more of the coefficients C1 . . . CN.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) then separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) then reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) then separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) then reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.

Abstract: A method for production of pivalic acid comprising the steps of: (a) reacting isobutylene, carbon monoxide, and a first catalyst to produce a reaction mixture; (b) contacting the reaction mixture with water, thereby producing a crude acid product having pivalic acid and oligomeric neo-carboxylic acid; (c) separating the pivalic acid and the oligomeric neo-carboxylic acid from the crude acid product; (d) reacting the oligomeric neo-carboxylic acid with a source of carbon monoxide at a temperature of less than 200° C. in the presence of a second catalyst to produce a C5 carbocation product, wherein the first and second catalyst are either the same or different; and (e) reacting the C5 carbocation product with water; thereby producing pivalic acid having an overall yield of at least 80 wt. %.