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In this paper, a mobile telemedicine application implemented for Android based devices is presented. The main application's functionality of ECG transmission is extended by real time ECG analysis, as well as real time analyze of acceleration data captured by embedded acceleration sensor. In this paper are presented efficient algorithms for ECG and acceleration data analysis. The ECG analysis is focused on arrhythmic heartbeats detection and pathological ST-T segment detection. Arrhythmic heartbeats detection is performed on the estimated ECG model features using Artificial Neural Networks (ANN). In the mobile application alarms could be defined, which triggering can send e-mail messages with attached ECG images and excel formatted data reports. Data from the acceleration sensor are analyzed regarding to monitor user walking activity. Mobile application is integrated in the existing telemedical system using predefined interfaces, but she also provides high autonomy to the end users with or without medical knowledge.