Method for determining formulation of combination consisting of multiple candidate substrates of smell, taste, or somatic sensation and reproducing smell, taste, or somatic sensation of target substance

A method for determining a formulation of a combination consisting of multiple candidate substrates of smell, taste, or somatic sensation and reproducing a smell, taste, or somatic sensation of a target substance, the method comprising:

• (i) step 1 of setting, with respect to one or multiple desired olfactory, taste, or somatosensory receptors, a function fiT representing a response intensity of the receptor for the target substance;
• (ii) step 2 of setting a function fiR representing a response intensity of the receptor for the combination consisting of the multiple candidate substrates of smell, taste, or somatic sensation and characterized by a concentration of each of the candidate substances;
• (iii) step 3 of setting an error function g characterizing an error between the function fiT and the function fiR for each receptor, wherein the error function is minimized when the function fiT and the function fiR match each other;
• (iv) step 4 of setting a functional F having as arguments all of error functions gi related to each receptor obtained in step 3, wherein the functional F is minimized when the error functions are minimized for all of the receptors;
• and
• (v) step 5 of performing optimization for the functional F, and determining a concentration of each of the candidate substances when the functional F takes an optimal value as a concentration that reproduces the target smell, taste, or somatic sensation,
• wherein the target substance is a single compound or a mixture of multiple compounds.

A method for producing a mixture that reproduces a smell, taste, or somatic sensation of a target substance, from a combination consisting of multiple candidate substrates of smell, taste, or somatic sensation, the method comprising:

• (i) step 1 of setting, with respect to one or multiple desired olfactory, taste, or somatosensory receptors, a function fiT representing a response intensity of the receptor for the target substance;
• (ii) step 2 of setting a function fiR representing a response intensity of the receptor for the combination of the multiple candidate substrates of smell, taste, or somatic sensation and characterized by a concentration of each of the candidate substances;
• (iii) step 3 of setting an error function g characterizing an error between the function fiT and the function fiR for each receptor, wherein the error function is minimized when the function fiT and the function fiR match each other;
• (iv) step 4 of setting a functional F having as arguments all of error functions gi related to each receptor obtained in step 3, wherein the functional F is minimized when the error functions are minimized for all of the receptors;
• (v) step 5 of performing optimization for the functional F, and determining a concentration of each of the candidate substances when the functional F takes an optimal value as a concentration that reproduces the target smell, taste, or somatic sensation, and
• (vi) step 6 of mixing the candidate substances at the concentrations determined in step 5 to produce a mixture,
• wherein the target substance is a single compound or a mixture of multiple compounds.

A computer-readable non-transitory storage medium storing a program for determining a formulation of a combination,

• wherein the program is a program for determining a formulation of a combination consisting of multiple candidate substrates of smell, taste, or somatic sensation and reproducing a smell, taste, or somatic sensation of a target substance, the program causing a computer to implement the steps of:
• (i) setting, with respect to one or multiple desired olfactory, taste, or somatosensory receptors, a function fiT representing a response intensity of the receptor for the target substance;
• (ii) setting a function fiR representing a response intensity of the receptor for the combination consisting of the multiple candidate substrates of smell, taste, or somatic sensation and characterized by a concentration of each of the candidate substances;
• and
• (iii) performing optimization for a functional F, and determining a concentration of each of the candidate substances when the functional F takes an optimal value as a concentration that reproduces the target smell, taste, or somatic sensation, wherein the functional F has as arguments all of error functions gi related to each receptor, and is minimized when the error functions are minimized for all of the receptors, and wherein an error function gi related to each receptor characterizes an error between the function fiT and the function fiR for each receptor, and is minimized when the function fiT and the function fiR match each other,
• wherein the target substance is a single compound or a mixture of multiple compounds.

A system for producing a mixture that reproduces a smell, taste, or somatic sensation of a target substance, from a combination consisting of multiple candidate substrates of smell, taste, or somatic sensation, the system being configured to:

• (i) set, with respect to one or multiple desired olfactory, taste, or somatosensory receptors, a function fiT representing a response intensity of the receptor for the substance of interest;
• (ii) set a function fiR representing a response intensity of the receptor for the combination consisting of the multiple candidate substrates of smell, taste, or somatic sensation and having a concentration of each of the candidate substances as a variable;
• and
• (iii) perform optimization for a functional F, and determine a concentration of each of the candidate substances when the functional F takes an optimal value as a concentration of a recipe for the target smell, taste, or somatic sensation, wherein the functional F has as arguments all of error functions gi related to each receptor, and is minimized when the error functions are minimized for all of the receptors, and wherein an error function gi related to each receptor characterizes an error between the function fiT and the function fiR for each receptor, and is minimized when the function fiT and the function fiR match each other,
• wherein the target substance is a single compound or a mixture of multiple compounds.