Friday 21 September 2012

Communicating the Doubts to my External Guide

11:07 pm

1) What is the expected input to the project?
2) What is the expected output from the project?
3) The problems with the solution to the data acquisition problem. solution?
4) My suggestion : ASP inverse problem
5) advantages, and paper to be referred.

Don't have an idea about how the conversation regarding first 2 questions will go, but here's my argument to defend my proposal.

3) Are we looking at real life scale replication model of the umbilical or middle cerebral artery flow? 
If so, according to this paper the mean umbilical artery diameter is always less than or equal to 4 mm, and according to this paper mean middle cerebral artery diameter is 0.83 mm around the 32nd gestational week when we usually do the Umbilical Artery or the Middle Cerebral Artery Ultrasound. The most feasible diameter is then Umbilical artery, 4 mm diameter pipe.

According to this, a pulsatile flow pump and a ultrasonic doppler flow meter should be available. According to this catalog the, the flowmeter can support a syringe of a minimum of 177.8 mm. Is it the right paper I should be looking at? I've got no idea. My external guide didn't mention anything about the pump. All he talked about was the the ultrasound doppler flowmeter.
Thus, according to these specifications the ultrasound doppler flowmeter supports pipe with the diameter of minimum 20 mm.

----> So we see that, real life scale replication of even the Umbilical Artery isn't possible!

Thus if we have to do this, we have change the scale of everything. Doesn't that invalidate the entire motive? Solution?

4) Even if the above argument is not convincing enough, I feel the need to propose another model which can simulate the fetal-Placental artery system.

This is a computer simulation based on Inverse Modelling. In inverse modeling, the model is a black box with unknown characteristic values. Given a set of outputs, the task is to identify these unknown characteristic values that produce outputs that match the given output to complete the model.
In our case the simulation output is the velocity profile of the blood or the blood flow. The inversion task is to identify the corresponding parameter values in the fetal-placental artery system to produce that blood flow.

Also, in our case, what affects the fetal-placental blood flow is :
i)   the values of the fetal heart rate,
ii)  the placental resistance
iii) the brain resistances

Based on the information, we can analyze the correlation between fetal heart rate and blood flow in the compensatory fetus.

Now, how do we find these characteristic values? We use the Genetic Algorithm. Genetic algorithm mimics the process of evolution. This is as follows :
i)   Start with a population of randomly generated individuals,
ii)  Find the fitness of all the individuals in this generation,
iii) Select multiple, say 2 individuals from this population with highest level of fitness
iv) Mutate them to form the next generation
v)  Repeat the process till satisfactory level of fitness has been reached.

Applying this to our case, the each characteristic represents the individual in the generation, then we define the fitness level, in terms of how close the values of the simulated output should be to the expected output. And thus we implement the algorithm using various techniques of mutation, or crossover, and repeat the process till the fitness level is reached.

The black box then represents our system.

This has been implemented before, and I have this paper (please refresh to download or view) for help. Additionally, the entire theory is easily available for study. And trustworthy.

Once we have established the characteristics of the system to get certain output, we can give it various input to generate fetal-placental flow with various conditions. This can become the input to another signal processing system which will classify it, and determine which condition exists. This will validate our signal processing system.

Ya? ATB!

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