user15183: According to Buddhism, one's self is made of 5 agregates. But these agregagtes should dissolve at death, because according to neurosciences,feeling, perception, thinking and conscience are just functions of the brain, which is destroyed at one's death. So what links the new human B that is considered a reincarnation of human A ?

user15185: "According to Buddhism, one's self is made of 5 agregates.", maybe according to whom's ever Buddhism and Buddhists, but the Buddha did not told such. More: he repeatedly stressed out that ones own can not be found in the five aggregates. 
As for what is birth: 

"And what is birth? Whatever birth, taking birth, descent, coming-to-be, coming-forth, appearance of aggregates, & acquisition of [sense] spheres of the various beings in this or that group of beings, that is called birth. MN 141

And as part of the first Noble truth it's somehow pointless to call it "merely convention" since such would hinder one to take actions for a beyond. So for a serious practitioner it's very needed to avoid people who deny coming into being and the Noble Truths, people of grave wrong view.
What makes you the same person who wrote the question and now reading an answer? Desire? Not-knowing?
And without first things first, your practice becomes nothing but that of the many Jains around: a really poor living of real poor hypocriticals.
May you have an auspicious birth here, since it is the prerequisite of liberation.
(Note: not given for stacks, trade and exchange but as a tiny door out of the wheel of rebirth)

user111: According to Buddhism there is nothing to be taken as a self, soul, I, me or mine. What is mistaken as a 'self' is a sequence of momentary experiences/actions/events occurring and ending one after the other. Each of these experiences has two aspects to it. The physical aspect and the mental aspect. The mental aspect is subdivided into 4 categories. Hence the five aggregates in total.
Each of these experiences are caused. None of them come to be without causes. One major cause of these experiences is Karma. It can be past karma or present Karma. Pleasant experiences are a result of good Karma and unpleasant experiences are a result of bad Karma.
'Living' simply means a session of these experiences/events arising and ending at a certain realm of existence.
Dying simply means that the causes for arising of those experiences at that realm are no longer present or they have been overpowered by fresh causes. Near the end of each session, a fresh Karma comes forward to become the cause for the arising of the consciousness aggregate at another place where the supportive conditions are right for arising of a thought moment. Ex: at a womb after the reproductive union of male and female, a fertilized egg etc. Arising of this thought moment is the beginning of the next session of experiences. This is how the so called Life A is linked to Life B, human or otherwise.
In this framework there are only experiences and their causal relationships. Concepts like the 'brain' does not exist. So if you ask a question assuming that there is an entity called the brain existing within this framework, it will only lead to confusion and false views until you are ready to give up that assumption.

15183: <p>According to Buddhism, one's self is made of 5 agregates. But these agregagtes should dissolve at death, because according to neurosciences,feeling, perception, thinking and conscience are just functions of the brain, which is destroyed at one's death. So what links the new human B that is considered a reincarnation of human A ?</p>
 15185: <p>"According to Buddhism, <strong>one's self</strong> is made of 5 agregates.", maybe according to whom's ever Buddhism and Buddhists, but the Buddha did not told such. More: he repeatedly stressed out that ones own can not be found in the five aggregates. </p>

<p>As for what is birth: </p>

<blockquote>
  <p>"And what is birth? Whatever birth, taking birth, descent, coming-to-be, coming-forth, appearance of aggregates, &amp; acquisition of [sense] spheres of the various beings in this or that group of beings, that is called birth. <a href="http://zugangzureinsicht.org/html/tipitaka/mn/mn.141.than_en.html" rel="nofollow noreferrer">MN 141</a></p>
</blockquote>

<p>And as part of the first Noble truth it's somehow pointless to call it "merely convention" since such would hinder one to take actions for a beyond. So for a serious practitioner it's very needed to avoid people who deny coming into being and the Noble Truths, people of grave wrong view.</p>

<p>What makes <em>you</em> the <em>same</em> person who wrote the question and now reading an answer? Desire? Not-knowing?</p>

<p>And without <a href="http://zugangzureinsicht.org/html/lib/authors/thanissaro/firstthingsfirst_en.html" rel="nofollow noreferrer">first things first</a>, your practice becomes nothing but that of the many Jains around: a really poor living of real poor hypocriticals.</p>

<p>May you have an auspicious birth here, since it is the prerequisite of liberation.</p>

<p><em>(Note: not given for stacks, trade and exchange but as a tiny door out of the wheel of rebirth)</em></p>
 111: <p>According to Buddhism there is nothing to be taken as a self, soul, I, me or mine. What is mistaken as a 'self' is a sequence of momentary experiences/actions/events occurring and ending one after the other. Each of these experiences has two aspects to it. The physical aspect and the mental aspect. The mental aspect is subdivided into 4 categories. Hence the five aggregates in total.</p>

<p>Each of these experiences are caused. None of them come to be without causes. One major cause of these experiences is Karma. It can be past karma or present Karma. Pleasant experiences are a result of good Karma and unpleasant experiences are a result of bad Karma.</p>

<p>'Living' simply means a session of these experiences/events arising and ending at a certain realm of existence.
Dying simply means that the causes for arising of those experiences at that realm are no longer present or they have been overpowered by fresh causes. Near the end of each session, a fresh Karma comes forward to become the cause for the arising of the consciousness aggregate at another place where the supportive conditions are right for arising of a thought moment. Ex: at a womb after the reproductive union of male and female, a fertilized egg etc. Arising of this thought moment is the beginning of the next session of experiences. This is how the so called Life A is linked to Life B, human or otherwise.</p>

<p>In this framework there are only experiences and their causal relationships. Concepts like the 'brain' does not exist. So if you ask a question assuming that there is an entity called the brain existing within this framework, it will only lead to confusion and false views until you are ready to give up that assumption.</p>
