# 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology

8-12 July 2018
Australia/Sydney timezone

## A multiscale PDE model of hepatitis C virus infection formulated to ODE model

9 Jul 2018, 18:00
2h
Holme Building/--The Refectory (University of Sydney)

### Holme Building/--The Refectory

#### University of Sydney

20
Board: 216
Poster Presentation Disease - infectious

### Speaker

Mr Kitagawa Kosaku (Graduate School of Systems Life Sciences, Kyushu University, Japan.)

### Description

Direct-Acting antivirals (DAAs) target intracellular viral replication and have realized high effectiveness for hepatitis C virus (HCV) patients. Now, many kinds of DAA drugs have discovered and the HCV treatment is improving day by day. A popular strategy of HCV treatment is combination of double or triple DAA drugs with different action mechanisms. Mathematical model is used to analyze the dynamics of virus infection and effectiveness of antiviral drugs. For DAA treatment, multiscale model formulated by partial differential equations (PDE) describing both intercellular virus infection and intracellular virus RNA replication is used. However, in general, numerical computation of PDE often converge poorly and is time consuming. So it is somewhat hard to estimate parameters, and we should transform the PDE to easier form in advance of analyzing the model. In our study, we transformed the PDE model to ODE form without any assumption. Thus our ODE model and the previous PDE model are mathematically identical. By this transformation, the time required for numerical simulation is reduced greatly and we can apply some basic analysis methods for dynamical systems of ODEs to the multiscale model.

### Primary authors

Mr Kitagawa Kosaku (Graduate School of Systems Life Sciences, Kyushu University, Japan.) Dr Shinji Nakaoka (PRESTO, JST, Japan. Institute of Industrial Sciences, The University of Tokyo, Japan.) Prof. Yusuke Asai (Graduate School of Medicine, Hokkaido University, Japan. CREST, JST, Japan.) Prof. Shingo Iwami (Department of Biology, Faculty of Sciences, Kyushu University, Japan. PRESTO, JST, Japan. CREST, JST, Japan.)

### Presentation Materials

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