Calculation of gaseous biomarker concentration in tissue via an inverse boundary problem

A sensor system comprising:

• a probe sensitive to an analyte, the probe having a body including a first surface and an opposite second surface;
• a photon source configured to direct photons at the probe, the probe emitting light in response to receiving photons from the photon source;
• a photodetector configured to detect the light emitted from the probe;
• and
• a controller in communication with the photon source and the photodetector, the controller being configured to execute a program stored in the controller to:
• (i) cause the photon source to direct photons at the probe and excite the probe to emit light in response to receiving the photons,
• (ii) receive optical data from the photodetector based on the interaction between the light emitted from the probe and the photodetector,
• (iii) determine, based on the optical data from the photodetector, a gradient of a parameter of the analyte extending from a first location adjacent the first surface of the probe to an intermediate location between the first location and a second location adjacent the second surface of the probe, and
• (iv) calculate, based on the gradient, a level of the parameter of the analyte adjacent the second surface of the probe.

A method for determining a level of a parameter of an analyte, the method comprising:

• (a) positioning a probe proximate to a surface to monitor an analyte;
• (b) positioning a photon source to deliver photons to the probe to excite the probe;
• (c) positioning a photodetector to receive light emitted by the probe in response to being emitted by the photon source;
• (d) causing the photon source to direct photons at the probe and excite the probe to emit light in response to receiving the photons;
• (e) collecting optical data from the photodetector based on the interaction between the light emitted from the probe and the photodetector;
• (f) determining a difference between a first level of a parameter of the analyte at a first location adjacent the first surface of the probe and an intermediate level of the parameter of the analyte at an intermediate location between the first location and a second location adjacent the second surface of the probe, wherein the intermediate level of the parameter of the analyte at the intermediate location is determined based on the optical data from the photodetector;
• and
• (g) determining a second level of the parameter of the analyte adjacent the second surface of the probe based on the difference between the first level of the parameter of the analyte and the intermediate level of the parameter of the analyte.

A method for determining a level of a parameter of an analyte, the method comprising:

• (a) positioning a probe proximate to a surface to monitor an analyte;
• (b) positioning a photon source to deliver photons to the probe to excite the probe;
• (c) positioning a photodetector to receive light emitted by the probe in response to being emitted by the photon source;
• (d) causing the photon source to direct photons at the probe and excite the probe to emit light in response to receiving the photons;
• (e) collecting optical data from the photodetector based on the interaction between the light emitted from the probe and the photodetector;
• (f) determining, based on the optical data from the photodetector, a gradient of a parameter of the analyte extending from a first location adjacent the first surface of the probe to an intermediate location between the first location and a second location adjacent the second surface of the probe;
• and
• (g) calculating, based on the gradient, a level of the parameter of the analyte adjacent the second surface of the probe.

A computer system comprising instructions stored on a non-transitory computer readable medium to cause at least one processor on a computer to:

• (i) cause a photon source to direct photons at a probe sensitive to an analyte and excite the probe to emit light in response to receiving the photons, the probe having a body including a first surface and an opposite second surface;
• (ii) receive optical data from a photodetector based on the interaction between the light emitted from the probe and the photodetector;
• (iii) determine a difference between a first level of a parameter of the analyte at a first location adjacent the first surface of the probe and an intermediate level of the parameter of the analyte at an intermediate location between the first location and a second location adjacent the second surface of the probe, wherein the intermediate level of the parameter of the analyte at the intermediate location is determined based on the optical data from the photodetector;
• and
• (iv) determine a second level of the parameter of the analyte adjacent the second surface of the probe based on the difference between the first level of the parameter of the analyte and the intermediate level of the parameter of the analyte.

A computer system comprising instructions stored on a non-transitory computer readable medium to cause at least one processor on a computer to:

• (i) cause a photon source to direct photons at a probe sensitive to an analyte and excite the probe to emit light in response to receiving the photons, the probe having a body including a first surface and an opposite second surface;
• (ii) receive optical data from a photodetector based on the interaction between the light emitted from the probe and the photodetector;
• (iii) determine, based on the optical data from the photodetector, a gradient of a parameter of the analyte extending from a first location adjacent the first surface of the probe to an intermediate location between the first location and a second location adjacent the second surface of the probe;
• and
• (iv) calculate, based on the gradient, a level of the parameter of the analyte adjacent the second surface of the probe.