Parameter Estimation in a Biological System Using Differential Evolution Algorithm

Identification of the thermo-physical properties of a stratified tissue. Adiabatic hypodermic wall

“…burns (contact or scald), flash fire or laser irradiations [1,16,24]. Not only in these thermal exposures but also in cancer detection [19,20], general thermal damage [15] and in the determination of the thermal dose in hyperthermia treatments [12], several mathematical models for bio-heat conduction have been successfully formulated and increasingly utilized, e.g. the Pennes' bio-heat parabolic model [21] and the thermal-wave hyperbolic model [11].…”

“…the Pennes' bio-heat parabolic model [21] and the thermal-wave hyperbolic model [11]. Panda and Das [19,20] proposed an inversion mechanism for detecting the presence/absence of cancer in biological tissues by estimating some of its biological features. Similar to these works, the papers [6,22] considered the bio-heat parabolic model and utilized genetic algorithms and the Markov Chain Monte Carlo method, respectively, for cancer detection purposes.…”

“…For instance, Baghban and Ayani [2] estimated the intensity of external heating applied to treat an abnormal triple-layered skin tissue by using a sequential method, whereas Yue et al [29] estimated the thermal conductivity, heat capacity and blood perfusion rate of a cylindrical single-layered probe from non-invasive surface temperature measurements. Besides, Panda and Das [20] considered the thermal-wave hyperbolic model and proposed a differential evolution algorithm to recover non-invasively the blood perfusion rate in a 1-D single-layered biological body from its surface temperature measurement. Lee et al [9] utilized the thermal-wave hyperbolic model and the conjugate gradient method (CGM) to reconstruct the heat flux at a 1-D one-layered tissue's surface.…”

“…Numerical methods have been powerful tools, enabling discretisation of the above mathematical models along with the prescribed initial and boundary conditions. These include the finite-difference method (FDM) [19,20], the finite element/volume methods [17] and the boundary element method [3,25]. Furthermore, to complement these methods devised for the numerical solution of direct problems, various additional optimization methods have to be designed and applied for inversion, e.g.…”

Determination of the thermo-physical properties of multi-layered biological tissues

“…The identification of tumour size and location on the basis of the knowledge of temperature on the skin surface was investigated in [17] and [18] based on steady-state and transient thermal analysis, respectively. Panda and Das [19] non-intrusively reconstructed the blood perfusion rate in a single-layered tissue from its surface temperature using the thermal-wave model of bio-heat transfer in conjunction with the differential evolution algorithm. Baghban and Ayani [2] estimated the intensity of a laser applied to a three-layered skin tissue using the parabolic Pennes' bio-heat model and a sequential method.…”