Patient treatment prediction by continuous time random walk inside complex system
Stochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes. Nonadditive entropy method has been used to achieve nonlinear fractional Fokker-Planck equation. We proved that duration of an...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201821002006 |
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doaj-83f3b955c74c4c26a34dacfa1d8cc3542021-03-02T09:18:03ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012100200610.1051/matecconf/201821002006matecconf_cscc2018_02006Patient treatment prediction by continuous time random walk inside complex systemWalczak AndrzejStochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes. Nonadditive entropy method has been used to achieve nonlinear fractional Fokker-Planck equation. We proved that duration of an unchanged patient situation can be estimated and fulfills rules for “fat tail” probability distribution. We also proved that probability of patient staying in an unchanged condition behaves the same. Formal rules were built on concept of similarity between real patient condition and potential well model. Such approach is new and allows new results as alternative for discrete models of prediction. Obtained results get probability for patient health parameter behavior in really detailed way.https://doi.org/10.1051/matecconf/201821002006 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Walczak Andrzej |
| spellingShingle |
Walczak Andrzej Patient treatment prediction by continuous time random walk inside complex system MATEC Web of Conferences |
| author_facet |
Walczak Andrzej |
| author_sort |
Walczak Andrzej |
| title |
Patient treatment prediction by continuous time random walk inside complex system |
| title_short |
Patient treatment prediction by continuous time random walk inside complex system |
| title_full |
Patient treatment prediction by continuous time random walk inside complex system |
| title_fullStr |
Patient treatment prediction by continuous time random walk inside complex system |
| title_full_unstemmed |
Patient treatment prediction by continuous time random walk inside complex system |
| title_sort |
patient treatment prediction by continuous time random walk inside complex system |
| publisher |
EDP Sciences |
| series |
MATEC Web of Conferences |
| issn |
2261-236X |
| publishDate |
2018-01-01 |
| description |
Stochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes. Nonadditive entropy method has been used to achieve nonlinear fractional Fokker-Planck equation. We proved that duration of an unchanged patient situation can be estimated and fulfills rules for “fat tail” probability distribution. We also proved that probability of patient staying in an unchanged condition behaves the same. Formal rules were built on concept of similarity between real patient condition and potential well model. Such approach is new and allows new results as alternative for discrete models of prediction. Obtained results get probability for patient health parameter behavior in really detailed way. |
| url |
https://doi.org/10.1051/matecconf/201821002006 |
| work_keys_str_mv |
AT walczakandrzej patienttreatmentpredictionbycontinuoustimerandomwalkinsidecomplexsystem |
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