matalb task question number one needed in urgent basis

Temporal (De-)Recruitment Level: Challenge/ Demanding/ Difficult Task: In the lectures you have learnt about recruitment of lung units and its effect on the compliance of the lung. An event driven model was introduced (Hickling model), that was able to simulate pressure- volume relations in an ARDS lung. The lung is divided into 30 layers, that open on different pressure levels. This opening process is either immediate when the pressure threshold is passed, or following a uniform distribution in a predefined pressure range (between Opmin and Opmax). In the literature it is reported that recruitment is temporal process i.e. is often not instantaneous, but delayed because the gas must remove fluid from a bronchiole before reaching the alveolus. Thus, your task is to create a layered dynamic recruitment model, which opens Alveolar layers according to a Gaussian distribution instead of a uniform one. Task 1 should be done together, tasks 2-4 individually and task 5 together again. Please make sure that responsibility for the tasks 2-4 are clearly marked in the final report. Approach: 1. Implement a derecruitment process in a simple dynamic lung model (FOM) during the expiration phase, by substituting the constant compliance term with a pressure driven (de-)recruitment process (Hickling deflation). Use a passive expiration mode (unloading of a compliance) for the simulation setup. Test your software to check if it produces reasonable results. Run your FOM simulation and the Hickling model separately before combining them. Document the test results. 2. Modify the "Hickling model" with a time dependent opening and closing process, i.e. the opening of alveoli on a layer is not purely based on pressure but on the pressure-time integral. Just in case that pressure is long enough present, an opening of alveoli is enforced. a. Implement a mechanism to calculate and store for every layer the duration of effective pressure. Hint: please consider an auxiliary variable ("Open") which integrates the weighted pressure-difference of current airway pressure (P(t)) and critical pressure (P_crit = SP+TOP with the superimposed pressure (SP); threshold opening pressure (TOP) for a given layer).