graphical analysis of scientific collaboration variations interactions
TRANSCRIPT
1/14
Graphical Analysis of Scientific Collaboration Variations
1
Veslava Osinska [email protected]
Grzegorz Osinski [email protected], CSMC Toruń (Poland)
Brain Spirography (BS) – investigated activity of “natural neurons” on breath center in human brain.
Breath centerin human brain stem
Neural nets
Total activity of neurons network as Time Series
Return Map Plotof activity
40 50 60 70 80 900,2
0,4
Czas [s]
FD =2.32
2
Clinical application for BS measurements
Patient BS Measurable System
Data Streaming Divider
Nonlinear Analyzing
System NAS
Computer Visualization and Storage
System
Hardware Part Software Part Implementation
Zone
RR
HRV
BR
ECG
others
FD = 1.78
Total activity of NN
3
Transfer from clinical aplication for scientific collaboration
0
5
10
15
20
25
40 50 60 70 80 900,2
0,4
Czas [s]
How to calculate ?
Neurons Scientists
/14 4
1. Mycielski construction – for pairs or small groups of scientists
2. The longest path length
3. Different groups of collaborators
4. Reconstruction of time series based on scientist activity
5. Construction of Return Map Plot and calculation of Fractal Dimention
Procedure
Mycielski graph G it is μ(G) constructed by procedure of Jan Mycielski (1955) based on theorem that bigest clique has a dimenstion ≤ 2 and maximum chromatic number.
MG will select a pairs of different colors (specialization) scientist
5
Selected groups of collaboration Leaders Connectors Performers („doits”) Outliers
5 10 15 20
10
20
30
40
50
60
70
80
4 group
3 group
2 group
0,000
3,750
7,500
11,25
15,00
18,75
22,50
26,25
30,00
1 group
6
Data
Members Activity• Source: Knowescape.org: participants, their groups, Steering
Commitee• Mobility & Coorganization
Members' Publications• ResearchGate• Mendeley• Knowescape• Personal websites
7
Co-organization (via Andrea)
8
Agregational activity
9
Leader - performer
FD = 1.24
10
Performer - performerFD = 1.39
11
FD = 1.46
12
Connector - performer
Discussion• Stable/unstable collaboration’s state - analogy to breathing • 2 NEW parameters for graphical analysis of scientists’
collabaration
1. Shape of Poincare section (RMP) The level of nonlinearity – the S.C. factor of collaboration is proportional
for quantity curves of higher degree than one (linear)
2. Value of FD for pairs The value of FD is proportional for the ability (dynamics?) to cooperate.
13
Thank you for attentionThank you for attention
1.Osinska V, Osinski G, Kwiatkowska A. Visualization in Learning: Perception, Aesthetics and Pragmatism. In: Maximizing Cognitive Learning through Knowledge Visualization, IGI Global 2015 (in press)
2.R. Mazur, G. Osiński, A. Ogonowski, G.Mikolaiczik, Analysis of Brain Stem Respiratory Center Function by Use of Mathematical Apparatus of Chaos Theory 1st CENTRAL EUROPEAN BIOMEDICAL CONGRESS, p. 53-54, 2014
3.R. Mazur, G. Osiński, M. Świerkocka, G, Evaluation of the dynamics of energetic changes in the brain stem respiratory centre in the course of increasing disorders of consciousness, Act. Nerv. Super. Rediviva, V 51, 2009.
4.M Świerkocka-Miastkowska, G Osiński , Nonlinear analysis of dynamic changes in brain spirography. Results in patients with ischemic stroke, Clinical Neurophysiology, 2007
5.Tamassia, R. "Graph Drawing." Ch. 21 in Handbook of Computational Geometry (Ed. J.-R. Sack and J. Urrutia). Amsterdam, Netherlands: North-Holland, pp. 937-971, 2000
contact: [email protected]
14
References