PhD in MODELLI E METODI MATEMATICI PER L'INGEGNERIA ... · PhD in MODELLI E METODI MATEMATICI PER...

PhD in MODELLI E METODI MATEMATICI PER

L'INGEGNERIA / MATHEMATICAL MODELS AND

METHODS IN ENGINEERING - 34th cycle

Number of scholarship offered 11

Department DIPARTIMENTO DI MATEMATICA

Description of the PhD Programme

PhD in Mathematical Models and Methods in Engineering Research Description of the researcharea.

All Candidates interested in developing their research in one of the areas of interest of themembers of Department of Mathematics (seehttp://www.mate.polimi.it/index.php?view=ricerca)are invited to apply.They will be allowed to choose their specific research topic when theadmission procedure will be completed. It should be noted that the number of offeredscholarships may be increased before the end of the selection process. The PhD programMathematical Models and Methods in Engineering aims at training young researchers byproviding them with a strong mathematical background and with the ability to apply theirknowledge to the solution of real-world problems arising in various areas of science, technology,industry, finance, management, whenever advanced methods are required in analysis, design,planning, decision and control activities. PhD students carry their research both in thedevelopment of new mathematical methods and in the implementation and improvement ofadvanced techniques in connection with specific contexts and applications. Further informationcan be obtained by consulting the dedicated website http://www.mate.polimi.it/dottorato

Stampato il 16/04/2018 1 / 1




Research Field: DIGITALIZED ALGORITHMS IN THE ACTIVITY AND IN THE FINANCING OF

CORPORATE 4.0

Monthly net income of PhDscholarship (max 36 months)

€ 1325.0In case of a change of the welfare rates during the three-year period, the amount could be modified.

Context of the research activity

Motivation and objectives of the researchin this field

Interdisciplinary PhD GrantThe PhD research will be carried out in collaboration withresearch groups of the PhD programme in"MANAGEMENT ENGINEERING".See http://www.dottorato.polimi.it/index.php?id=242&L=1for further information.

The goal of the research is to analyze the effects of theadoption of digital technologies based on quantitativealgorithms (e.g. cryptocurrency, blockchain technology,smart contract) to financial transactions in the evolvingparadigm from Industry 4.0 to Corporate 4.0 (Impresa4.0). The relevance of this type of transactions is growingand there are several open issues concerning theirefficacy and their efficiency.Smart payments are afundamental element for the development of commercialtransactions and financing contracts. They involve bothcompanies and financial intermediaries. They allow fornew channels of investments and borrowing likecrowdinvesting, peer to peer lending and initial coinofferings that are based on a more inclusive participationin the financial market and they also are associated withnew logistic/distributive channels (like e-commerce) in anIndustry 4.0 environment, since manufacturing innovationis complemented by innovation in services[1]. Smartcontracts is the next step: they allow to define fully

1 / 3

automated contracts, based on the trust ensured by thedistributed ledger technology (DLT), implementingtransactions conditional on some events defined by anoracle.[1] See among others Kim, Y., Choi, J., Park, Y.-J., Yeon,J., The adoption of mobile payment services for "fintech"(2016) International Journal of Applied EngineeringResearch, 11 (2), pp. 1058-1061; Bonneau, J., Miller, A.,Clark, J., Narayanan, A., Kroll, J.A., Felten, E.W. SoK:Research perspectives and challenges for bitcoin andcryptocurrencies (2015) Proceedings - IEEE Symposiumon Security and Privacy, 2015-July, art. no. 7163021, pp.104-121; Zilgalvis, P. The need for an innovation principlein regulatory impact assessment: The case of finance andinnovation in Europe (2014) Policy and Internet, 6 (4), pp.377-392

Methods and techniques that will bedeveloped and used to carry out theresearch

In the context of this proposal, the interdisciplinarymethodologies and techniques adopted by the tworesearch groups are the following ones.First, a properanalysis on the embryonic literature on the topic is needed(drawing from information technology, quantitative andcorporate finance), in order to understand the mostinteresting and innovative topics to be considered. Then,the most promising trials on smart payments (see forexample the case of BNP Paribas) and smart contracts(Dao, ICOs) will be considered, in order to analyze theirimpact on a large scale adoption considering bothmathematical, information technology and managerialimplications. In cooperation with financial intermediaries, aset of data of economic and financial transactions will becollected, in order to develop a suitable theoretical modeland to assess the benefits/criticalities associated with theadoption of smart payments and smart contracts. Then, afocus on specific technological solutions will be provided,addressing (under a multi-disciplinary approach) both thedigital/technical features and the organizationimplications. The aim is to evaluate the impact of suchinnovations on the business activity.

Educational objectives Provide courses that cover both methodological andapplied topics on digitalized payments/finance that

2 / 3

are useful for corporates in an Industry 4.0.

Job opportunitiesResearch in academica, Developers of Fintechstartups, Finance industry, Service industry

Composition of the research group

2 Full Professors3 Associated Professors0 Assistant Professors0 PhD Students

Name of the research directors Emilio Barucci e Giancarlo Giudici

Contacts

Prof. Emilio Barucci / [email protected] Prof. Giancarlo Giudici / [email protected]

Additional support - Financial aid per PhD student per year (gross amount)

Housing - Foreign Students

1st year 2nd year 3rd year1500.0 €

per student0.0 €

per student0.0 €

per student

max number of financial aid available: 3, given in order of merit ..

Housing - Out-of-town residents(more than 80Km out of Milano) --

Additional information: educational activity, teaching assistantship, computer availability, desk availability,any other information

1st year: max 0,00 euros per student2nd year: max 1.534,33 euros per student3rd year: max1.534,33 euros per studentThere are various forms of financial aid for activities of support to the teaching practice.The PhDstudent is encouraged to take part in these activities, within the limits allowed by the regulations.1individual PC per student + several shared PCAccess to one cluster with 32 processors and 384GB RAM, and to several multi-processor servers.1 individual desk per student

3 / 3




Research Field: FUNCTIONAL DATA ANALYSIS METHODS AND ALGORITHMS FOR OIL

AND GAS RESERVOIR MODELING





For oil and gas reservoir management, it is of paramountimportance to have access to reliable predictions on thefuture behavior of large dimension reservoir with a knownhistory. Calibration of commonly used full-physics modelsfor fields with a long history and many wells is difficultbecause of technical and computational issues. Even withHPC, a reliable and robust post-calibration optimizationusually requires huge computational times. In the face ofthis difficulty, large masses of both static and dynamicaldata are often available and not yet suitably exploited forreservoir modeling; this will be the main goal of thisresearch project.


The research will develop statistical methods andalgorithms for making predictions on the long termbehavior of the reservoir based only on the analysis oflarge amounts of historical data. Moreover methods forintegrating some large scale physical phenomena will beconsidered. Comparison with more traditional methods ofpredictions will be established and pilot studies will beproduced. The methods will be those of Functional DataAnalysis for Spatial Statistics applied to the specificsetting of oil and gas reservoir management.

Educational objectives The project will be carried out in collaboration with a team

1 / 2

of researchers in Eni S.p.A. Within this lively andstimulating academic and research environment, thedoctoral student will be trained to become a skilfulresearcher in Data Science and Applied Statistics.

Job opportunities

As Data Sciences are increasingly pursued by allcompanies in all industrial sectors, the demand for datascientists and analytics experts continues to outpacesupply and dominates both the US and the European jobmarket.



Name of the research directors Piercesare Secchi

Contacts

e-mail: [email protected]: +390223994592web-page:https://www.mate.polimi.it/?view=pp&id=85&lg=it




per student0.0 €

per student0.0 €

per student




Foreign students*1st year: 1500,00 euros per student 2nd year: 0,00 euros per student 3rd year:0,00 euros per student (max number of financial aids available 3, given in order of merit) Educational activities: 1st year: max 0,00 euros per student2nd year: max 1.534,33euros perstudent3rd year: max 1.534,33 euros per studentThere are various forms of financial aid for activities of support to the teaching practice.The PhDstudent is encouraged to take part in these activities, within the limits allowed by the regulations.

2 / 2




Research Field: MATHEMATICAL AND NUMERICAL MODELING FOR THE SIMULATION OF

THE CARDIAC FUNCTION





The research topic is in the framework of the ERCAdvanced Grant project iHEART "An Integrated HeartModel for the simulation of the cardiac function", PI Prof.A. Quarteroni. The goal of the iHEART project is toconstruct, mathematically analyze, numericallyapproximate, computationally solve, and validate onclinically relevant cases a mathematically-basedintegrated heart model for the human cardiac function.The project will provide researchers from appliedmathematics and life sciences, cardiologists, and cardiacsurgeons with a powerful tool for both the qualitative andquantitative study of cardiac function and dysfunction.


Possible topics of the research will be described in whatfollows.New approximation methods for cardiacelectrophysiology will be extensively proposed andcritically analyzed. High order methods will be developed,as they reduce the numerical dissipation and, above all,the dispersion errors associated to high speed wavefrontspropagating in the tissue. Solutions of solid mechanicsproblems in the ventricular muscle and valves arecharacterized by large displacements with nearlyincompressible deformations, which may lead toinaccurate results, especially if associated to lowpolynomial degrees. To prevent the phenomenon ofnumerical volumetric locking, high order methods will be

1 / 3

developed and mixed formulations for low order FiniteElement approximations of nearly incompressibletransient solid dynamics will be applied to cardiacproblems. Suitable numerical techniques for the fluid-structure interaction coupling in the valve context will bealso investigated. The mathematical and numericalmodeling of blood perfusion will be another topic of greatimportance in view of studying the effect of a coronarystenosis on the cardiac function. Another important topicis the ventricle fluid-dynamics characterized by transitionto turbulence also in physiological conditions and by theneed of considering large displacements of thecomputational domain. Another important field is providedby the inclusion of uncertainty in the mathematicalmodeling and by the related numerical techniques for anaccurate and efficient solution of such problems, asprovided for example by the reduced basis method. Mathematical and numerical models will find applicationin the clinical context by exploiting ongoing and newclinical collaborations. We will pursue a computationalpipeline starting from the acquisition of medical images,as well as biological and functional data, for the corecardiac models and the integrated heart model. In return,the outputs generated by the computational procedure willprovide useful information for the treatment of clinicallyrelevant cases and, more generally, for the enhancementof medical knowledge. We will also identify a set ofbenchmark problems referring to both physiological andpathological cardiac conditions.

Educational objectives

The program will lead the student through acomprehensive and qualified vision on top-level researchin Mathematics - specifically in Applied Mathematics,Numerical Analysis, and Scientific Computing - withapplication to Life Sciences, through a constant contactwith real cases analysis and comparison with clinicians.Students will benefit from exchange of knowledge andcooperation among the other members of the iHEARTgroup and MOX at large. Teamwork, an extensiveprogram of comparison among researchers, and activeparticipation to dissemination events on the researchsubjects will be a qualifying part of the educational

2 / 3

objectives.

Job opportunities

The research is a top field in the world of AppliedMathematics and Bioengineering, and thanks to the large-view approach and the versatility of the applied methods,exiting PhD students will surely be appreciated in thebroad ensemble of research activities, both industrial andacademic, on these topics.



Name of the research directors Alfio Quarteroni

Contacts

[email protected]@polimi.it02 2399 4525http://iheart.polimi.it




per student0.0 €

per student0.0 €

per student




Foreign students*1st year: 1.500,00 euros per student 2nd year: 0,00 euros per student3rd year:0,00 euros per student (max number of financial aids available 3, given in order of merit) Educational activities: 1st year: max 0,00 euros per student 2nd year: max 1.534,33 euros perstudent 3rd year: max 1.534,33 euros per student There are various forms of financial aid for activities of support to the teaching practice.The PhD student is encouraged to take part in these activities, within the limits allowed by theregulations.1 individual PC per student + several shared PCAccess to a HPC cluster with 512 cores and 1 TBRAM, and to several multi-processor servers.1 individual desk per student

3 / 3




Research Field: MATHEMATICAL MODELS AND METHODS IN ENGINEERING





This Research Area covers all the topics of interest of thePhD program. All candidates interested in developing theirresearch in one of the areas of interest of the Departmentof Mathematics (seehttp://mate.polimi.it/index.php?view=ricerca) are invited toapply to the grants in this Area, which allow them tochoose their specific research topic when the admissionprocedure is completed.


The PhD program aims at training young researchers byproviding them with a strong mathematical backgroundand with ability to apply their knowledge to the solution ofreal-world problems that arise in various areas of science,technology, industry, finance, management, wheneveradvanced methods are required in analysis, design,planning, decision and control activities.


The PhD students carry their research both in thedevelopment of new mathematical methods and in theimplementation and improvement of advanced techniquesin connection with specific contexts and applications.Further information can be obtained by consulting thededicated website http://www.mate.polimi.it/dottorato

Job opportunities Job opportunities are in companies and researchagencies which are leaders in their respective fields.

1 / 2



Name of the research directors Irene Maria Sabadini

Contacts

Program Chairman: Professor Sabadini Irene Maria e-mail: [email protected]:+3902/2399.4581 https://www.mate.polimi.it/?view=pp&id=114&lg=it#ann




per student0.0 €

per student0.0 €

per student




1st year: max 0,00 euros per student2nd year: max 1.534,33 euros per student3rd year: max1.534,33 euros per studentThere are various forms of financial aid for activities of support to the teaching practice.The PhDstudent is encouraged to take part in these activities, within the limits allowed by the regulations.1individual PC per student + several shared PCAccess to one cluster with 32 processors and 384GB RAM, and to several multi-processor servers.1 individual desk per student

2 / 2




Research Field: NUMERICAL METHODS FOR THE ELECTRICAL ACTIVITY OF VENTRICLES

AND ATRIA WITH APPLICATION TO CASES OF CLINICAL INTEREST





Cardiac failure (CF) represents the principal cause ofclinical recovery in Italy after 65 years old. The morbidityand mortality due to CF are very high. In particular, agreat attention has been paid in the last year to theventricular dyssynchrony (VD) as a possible cause oraggravating factor of CF. Recently, a non-farmacologictherapy for VD has been established, i.e. the cardiacresynchronization therapy (CRT), obtained by stimulatingboth the ventricles with two electrodes inserted throughcatheters and stimulated by an electric implantabledevice, with the aim of restoring the physiological electricsynchrony. CRT, studied in several clinical trials, is aneffective strategy in view of improving the quality of lifeand the survival of patients with CF and VD. For thisreason, it is now included in all the official clinicalindications of the scientific societies. One of the electricpathologies leading to intra-ventricular dyssynchrony isthe left bundle branch block (LBBB), consisting in theblockage of the left branch in the heart conduction system(Purkinje network).When LBBB is treated with CRT, thetwo electrodes are usually located on the endocardium ofthe right ventricle, at the level of the intra-ventricularseptum (right electrode) and in one of the left coronaryveins (left electrode). The choice of the site of stimulationby means of the electrodes is crucial in order to obtain asyncronized contraction of the left ventricle. While the site

1 / 4

of stimulation of the right electrode is standard, a greatdegree of uncertainty is still present for the left one, andclinicians should choice the best location for the patient athand. Indeed, recent studies have shown that thevariability of the electrical propagation in presence ofLBBB is very large, so that it is not possible to identify apriori a standard optimal choice for the location of the leftelectrode. In order to provide useful indications to theclinicians, it has been recently proposed to realize anelectrical mapping of the coronary veins (left epicardicmapping) during the sinus rhythm, with the aim ofidentifying the point characterized by the latest activation.This point is chosen for the positioning of the leftelectrode. However, this choice is nowadays still empiricaland we are far to consider it as optimal. The aim of thisproject consists in acquiring and utilizing data comingfrom the electrical mapping in patients with LBBB anddeveloping computational tools with the final goal ofoptimizing the location of the left electrode during CRT .


The units involved in this project are: APSS Unit -Divisione di Cardiologia dell'Ospedale S. Maria delCarmine di Rovereto and Dipartimento diRadiodiagnostica della APSS del Trentino; POLIMI Unit -MOX, Dipartimento di Matematica, Politecnico di Milano.APSS Unit will study patients with suspected VD,acquiring for each of them morphological data by meansof MRI or CT, ECG, and data of the electrical activation onthe endocardium and epicardium by means of the NavXsystem. These data will be given to the POLIMI Unit,which will process them allowing to obtain thecomputational geometries and the electrical maps.Starting from these elaborated data, POLIMI Unit willrealize a computational study with the aim of investigatingthe effectiveness of CRT for different left electrodelocations. To this aim, numerical approximation of partialdifferential equations to describe the electro-mechanicalproblem characterizing the ventricle function will beconsidered. In particular, the Finite Elements methods willbe used to solve such problems in the patient-specificscenarios obtained by the process of the clinical data. Inparticular, the following scenarios will be compared: 1)

2 / 4

Healthy case. This will be virtually simulated byeliminating the block and the regions of damagedpropagation; 2) Sinus case. This is the "true" case, i.e. inpresence of LBBB; 3) CRT with left electrode located inthe point with the latest activation during the sinus rhythm;4) CRT with left electrode located in the point with thelatest activation during a stimulation with the rightelectrode solely; 5) Optimized CRT, i.e. with left electrodelocated in the best point (among the anatomicaladmissible ones) which guarantees the bestsynchronization. In order to find the best stimulation pointin scenario 5) and to compare its performance with thoseobtained in scenarios 3) and 4), we propose two optimalitycriteria. The first one is purely electric and it is based onthe difference between the curves representing the tissueactivation as a function of time in the healthy and CRTcases. The second one, more sophisticated, accountsalso for the mechanical behavior of the ventricle and it isbased on the capacity of systolic contraction and diastolicfilling. This will be possible thanks to a computationalstudy based on an electro-mechanical modeling.


The PhD student will learn new knowledge in differentfields: the numerical modeling of the electro-mechanicalactivityof the heart, techniques for the processing ofbiomedical data, optimization strategies, implementationin a Finite Elements library.

Job opportunities

Several opportunities will be possible: academic researchin numerical analysis and bioengineering, companies forthe development of biomedical devices or instruments,assistance to the clinicians during the operations for theuse of the biomedical diagnostic machines.



Name of the research directors CHRISTIAN VERGARA

Contacts

[email protected]

3 / 4




per student0.0 €

per student0.0 €

per student




During this PhD, the student should attend 6 courses offered by the School and teach asassistance in engineering courses. Several meeting at the hospital in Rovereto will be planned inorder to discuss with clinicians and exchange the data. 1st year: max 0,00 euros per student2ndyear: max 1.534,33 euros per student3rd year: max 1.534,33 euros per student There are variousforms of financial aid for activities of support to the teaching practice.The PhD student isencouraged to take part in these activities, within the limits allowed by the regulations. There arevarious forms of financial aid for activities of support to the teaching practice.The PhD student isencouraged to take part in these activities, within the limits allowed by the regulations. 1 individualPC per student + several shared PCAccess to one cluster with 32 processors and 384 GB RAM,and to several multi-processor servers. 1 individual desk per student

4 / 4




Research Field: SIMULAZIONI NUMERICHE DI FLUSSO DI MISCELE DI GAS IN STRUTTURE

GEOLOGICHE CON FRATTURE E RELATIVE COMPLESSITÀ NEL MESHING





Development of mathematical and numerical models forthe simulation of multiphase subsurface flows are able tocapture the true complexity of a) the geometry of thedomain b) the physical processes involved.


We will consider numerical methods for the approximationof PDEs with general polyhedral grids for an effectivesimulation of flows in fractured porous media. We willstudy robust methods for the multiphysics problem arisingfrom the coupling of flow and transport of particles whichmay deposit and alter the permeability of the porousmedium.


Develop and apply innovative numerical methods for realproblems of industrial relevance in the field of multiphaseflows in porous media.

Job opportunities

Academic research; oil industry; environmental protectionagencies; R&D in the areas of health, innovativematerials, industrial processes.



Name of the research directors Anna Scotti

1 / 2

Contacts

[email protected]




per student0.0 €

per student0.0 €

per student




Foreign students*1st year: 1500,00 euros per student2nd year: 0,00 euros per student3rd year:0,00 euros per student (max number of financial aids available 3, given in order of merit) Educational activities: 1st year: max 0,00 euros per student2nd year: max 1.534,33euros perstudent3rd year: max 1.534,33 euros per studentThere are various forms of financial aid for activities of support to the teaching practice.The PhD student is encouraged to take part in these activities, within the limits allowed by theregulations.1 individual PC per student + several shared PCAccess to one cluster with 32 processors and384 GB RAM, and to several multi-processor servers.1 individual desk per student

2 / 2

PhD in MODELLI E METODI MATEMATICI PER L'INGEGNERIA ... · PhD in MODELLI E METODI MATEMATICI PER...

Documents

Transcript of PhD in MODELLI E METODI MATEMATICI PER L'INGEGNERIA ... · PhD in MODELLI E METODI MATEMATICI PER...