A computer-implemented method of graphically communicating, to a user, patient risks for an individual patient, the method comprising: receiving, from a device, data relating to a plurality of possible clinical patient states in which the patient may be classified; causing the display, on a display device, of a plurality of graphical indicators, each of the plurality of graphical indicators corresponding to one of the plurality of possible clinical patient states, each of the plurality of graphical indicators graphically identifying the probability that the patient is in a corresponding clinical patient state at a given point in a range of time, the plurality of graphical indicators configured to indicate a hazard level; and causing the display, on the display device, of a timeline controller configured to allow a user to dynamically select a plurality of points in time over the range of time, the graphical indicators changing dynamically in response to a specification by the user of one of the plurality of points in time to display the evolution of the plurality of possible patient states over the range of time; and determining the utility of a particular invasive catheter measurement m i, by: submitting an instruction to a physiology observer module to simulate physiology observer module output (probability density functions of internal state variables) from a point back from the current time (t current -T) to the current time (t current) with removal of measurement m i; in a clinical trajectory interpreter module, simulate a state probability estimation given the simulated output of the physiology observer module, to arrive at a set of patient state probabilities P sim (S 1 (t current)), P sim (S 2 (t current))... P sim (S n (t current)); in the clinical trajectory interpreter module, using state probabilities determined from all available measurements P(S 1 (t current), P(S 2 t current),... P(S n (t current), calculating the utility [U(mi)] of the measurement m i using the formula: U m i = D P sim | P = ∑ i = 1 n P S i t current log P S i t current P sim S i t current, and; displaying a graphical indicator configured to represent the utility of the invasive measurement. receiving, from a device, data relating to a plurality of possible clinical patient states in which the patient may be classified; causing the display, on a display device, of a plurality of graphical indicators, each of the plurality of graphical indicators corresponding to one of the plurality of possible clinical patient states, each of the plurality of graphical indicators graphically identifying the probability that the patient is in a corresponding clinical patient state at a given point in a range of time, the plurality of graphical indicators configured to indicate a hazard level; and causing the display, on the display device, of a timeline controller configured to allow a user to dynamically select a plurality of points in time over the range of time, the graphical indicators changing dynamically in response to a specification by the user of one of the plurality of points in time to display the evolution of the plurality of possible patient states over the range of time; and determining the utility of a particular invasive catheter measurement m i, by: submitting an instruction to a physiology observer module to simulate physiology observer module output (probability density functions of internal state variables) from a point back from the current time (t current -T) to the current time (t current) with removal of measurement m i; in a clinical trajectory interpreter module, simulate a state probability estimation given the simulated output of the physiology observer module, to arrive at a set of patient state probabilities P sim (S 1 (t current)), P sim (S 2 (t current))... P sim (S n (t current)); in the clinical trajectory interpreter module, using state probabilities determined from all available measurements P(S 1 (t current), P(S 2 t current),... P(S n (t current), calculating the utility [U(mi)] of the measurement m i using the formula: U m i = D P sim | P = ∑ i = 1 n P S i t current log P S i t current P sim S i t current, and; submitting an instruction to a physiology observer module to simulate physiology observer module output (probability density functions of internal state variables) from a point back from the current time (t current -T) to the current time (t current) with removal of measurement m i; in a clinical trajectory interpreter module, simulate a state probability estimation given the simulated output of the physiology observer module, to arrive at a set of patient state probabilities P sim (S 1 (t current)), P sim (S 2 (t current))... P sim (S n (t current)); in the clinical trajectory interpreter module, using state probabilities determined from all available measurements P(S 1 (t current), P(S 2 t current),... P(S n (t current), calculating the utility [U(mi)] of the measurement m i using the formula: U m i = D P sim | P = ∑ i = 1 n P S i t current log P S i t current P sim S i t current, displaying a graphical indicator configured to represent the utility of the invasive measurement.