In this paper a new MATLAB Toolbox is introduced, Metastatic Tumor Growth Modeling (MTGM). MTGM Toolbox is freely available on a GitHub repository https://github.com/IuliaMartinaBulai/MTGM_Toolbox and equips the researchers with five different functionalities. The first one refers to the numerical resolution of a general Volterra Integral Equation (VIE) of the second kind on the positive semiaxis while the last four ones to the computation of biological observables related to metastatic tumor growth models. In particular, the computed observables are the cumulative number of metastases (CNM) and the total metastatic mass (TMM) derived from: (i) a 1D metastatic tumor growth (t.g.) model where the analytical solution of the ODE describing the t.g. law is known, (ii) a 1D model where this solution has to be numerically computed, (iii) a 2D non-autonomous metastatic t.g. model where also the treatment is considered, (iv) a 2D autonomous model, i.e., in the absence of therapies. Moreover, the Toolbox implementation was designed in order to give the users the possibility to extend its functionalities.

A new MATLAB software for numerical computation of biological observables for metastatic tumor growth

De Bonis, Maria Carmela;Laurita, Concetta
2025-01-01

Abstract

In this paper a new MATLAB Toolbox is introduced, Metastatic Tumor Growth Modeling (MTGM). MTGM Toolbox is freely available on a GitHub repository https://github.com/IuliaMartinaBulai/MTGM_Toolbox and equips the researchers with five different functionalities. The first one refers to the numerical resolution of a general Volterra Integral Equation (VIE) of the second kind on the positive semiaxis while the last four ones to the computation of biological observables related to metastatic tumor growth models. In particular, the computed observables are the cumulative number of metastases (CNM) and the total metastatic mass (TMM) derived from: (i) a 1D metastatic tumor growth (t.g.) model where the analytical solution of the ODE describing the t.g. law is known, (ii) a 1D model where this solution has to be numerically computed, (iii) a 2D non-autonomous metastatic t.g. model where also the treatment is considered, (iv) a 2D autonomous model, i.e., in the absence of therapies. Moreover, the Toolbox implementation was designed in order to give the users the possibility to extend its functionalities.
2025
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/198276
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